- What is three million forty eight thousand two hundred and fifty seven written in numerals?
- 30482 7
- 3408257
- 3480257
- 3084257

- What is the place value of 7 in the number 9843.071?
- Tens
- Tenths
- Hundredths
- Hundreds

- What is the next number in the pattern shown below?
^{3}/_{4}, 1^{1}/_{4}, 1^{3}/_{4}, 2^{1}/_{4}, _______.- 1
^{1}/_{8} - 1
^{2}/_{3} - 2
^{3}/_{4 } - 3
^{1}/_{4}

- 1
- What is
^{3}/_{8 }as a percentage?- 12
^{1}/_{2} - 18
^{3}/_{4} - 36
^{1}/_{2} - 37
^{1}/_{2}

- 12
- Charity cycled from home to school a distance of 12 kilometres. She started the journey at 7.20 a.m and arrived at 8.00 a.m. What was her speed in metres per second?
- 2.5
- 5
- 10
- 18

- The figure below shows a trapezium UWXY. Line YX is parallel to line UW. The perpendicular distance between the parallel lines is 12 cm and line YX = 18 cm. The area of the trapezium is 252 cm
^{2}.

What is the length of line UW?- 16 cm
- 18 cm
- 24 cm
- 39 cm

- A teacher shared pencils among his learners. The girls received
^{2}/_{3}of the pencils and the boys received^{5}/_{6 }of the_{ }remainder. The

teacher remained with 8 pencils. How many pencils did the teacher have before sharing?- 40
- 96
- 136
- 144

- A school received five thousand and forty two books. The books were delivered in two lorries. The first lorry had three thousand and sixteen books. How many books were in the second lorry?
- 2026
- 2036
- 7068
- 8058

- What is the value of
^{1}/_{2 }of (^{2}/_{3}−^{1}/6) ÷ 1^{1}/_{4}?^{1}/_{3}^{1}/_{5}^{2}/_{15}^{5}/_{16}

- Cylindrical tins each of diameter 20 cm and a height of 15 cm were packed in a carton. The carton measured 120 cm long, 80 cm wide and 30 cm high. How many tins were packed in the carton?
- 61
- 48
- 24
- 12

- What is the value of 16.8×0.0542 ?

0.072- 0.0126
- 1.26
- 12.6
- 126

- A scale drawing of a rectangular plot of land measures 3 cm by 2 cm. The scale used is 1:2000. What is the actual area of the plot in ares?
- 24000
- 2400
- 240
- 24

- What is the value of x in the equation
^{2x}/_{3}−^{4x}/_{9}= 12?- 54
- 10
^{4}/_{5} - 10
^{1}/_{2} - 9

- What is 567432 rounded off to the nearest ten thousands?
- 560000
- 567000
- 570000
- 600000

- Three bells ring at intervals of 12 minutes, 24 minutes and 36 minutes. They rang together at 10.00 a.m. When was the last time they rang together before 10.00 a.m?
- 8.48 a.m
- 8.48 p.m
- 11.12 a.m
- 11.12 p.m

- The area of a semicircle is 39.25 cm
^{2}. What is the length of the diameter? (Тakе л = 3.14)- 25 cm
- 10 cm
- 6 cm
- 5 cm

- A pupil reported to a boarding school on 27
^{th}January, 2019. He went for a mid-term break on 18^{th}March 2019. How many nights did he spend in school?- 49
- 50
- 51
- 52

- The area of a square plot of land is 0.0576 hectares. The plot was fenced all round using five strands of wire. What was the total length of the wire used?
- 480 m
- 192 m
- 96 m
- 24 m

- A pipe has a diameter of 0.7 m and a length of 3 m. The outer surface of the pipe was painted. What was the area that was painted?

(Таkе л =^{22}/_{7})- 13.2 m
^{2} - 10.4 m
^{2} - 6.6 m
^{2} - 2.2 m
^{2}

- 13.2 m
- What is the value of 4n
^{2}(r + y) + ny when n = 2, r = 3 and y = 5

r + y − n- 10
^{1}/_{2} - 12
^{1}/_{3} - 23
- 138

- 10
- A printing press produced 11457 books on Monday. It produced 308 more books on Tuesday than on Monday. On Wednesday, it produced 4796 less books than the total number produced both on Monday and Tuesday. How many books were produced in the three days?
- 16561
- 18426
- 23222
- 41648

- A cylindrical container has a diameter of 56 cm and a height of 30 cm. The container is half filled with water. How many litres of water are in the container? Тakе л =
^{22}/_{7}- 258.72
- 147.84
- 73.92
- 36.96

- Construct triangle PQR such that line PQ = 10 cm and angle RPQ = angle RQP = 40°. Construct a circle that touches the vertices P, Q and R. What is the measure of the diameter of the circle?
- 10 cm
- 5 cm
- 3.6 cm
- 1.8 cm

- A van is loaded with 120 cartons each containing 40 packets of salt. The mass of each empty carton is 500 g and that of each packet of salt is 750 g. What is the total mass of the load in kilograms?
- 36600
- 3660
- 3600
- 3540

- Kelvin deposited sh 15 000 in a bank. The bank paid compound interest at the rate of 12% per annum. What was the total interest paid by the bank at the end of two years?
- sh 18 816
- sh 3 816
- sh 3 600
- sh 2016

- Ntimama had 40 cows and 55 goats in his farm. He sold 10% of the cows and increased the number of goats by 20%. What was the new number of animals in the farm?
- 110
- 106
- 102
- 80

- The area of a right angled triangle is 54cm
^{2}. The length of one of the shorter sides is 12cm. What is the perimeter of the triangle?- 15 cm
- 21 cm
- 36 cm
- 42 cm

- A saleslady earns a basic salary of sh 10 500 per month. She also earns a commission on sales above sh 100 000. In one month, she sold items worth sh 150 000 and earned a total of sh 18 000. What was the percentage commission?
- 5
- 7
- 12
- 15

- A rectangular floor measures 7.5 m long and 2.5 m wide. The floor is covered with square tiles of side 0.5 m. How many tiles were used to cover the floor completely?
- 112
- 75
- 38
- 28

- What is the value of

7(3^{2}+ 4) − 5 x 8 ÷ 2 + 6?- 77
- 56
- 53
- 35

- The following figure shows a triangle drawn inside a semicircle.

What is the area of the shaded part in cm^{2}? (Take π =^{22}/_{7})- 775.25
- 481.25
- 294.00
- 187.25

- What is the square of 6
^{1}/_{4}?- 156
^{1}/_{4} - 39
^{1}/_{16} - 36
^{1}/_{16} - 2
^{1}/_{2}

- 156
- A family uses 30 decilitres of milk everyday. How many litres of milk did they use during the months of February and March 2016?
- 186
- 183
- 180
- 177

- A cuboid measures 6 cm long, 5 cm wide and 4 cm high. What is the total length of the edges?
- 30
- 60
- 90
- 120

- The cash price of a sewing machine is sh 24 800. The hire purchase price is 15% more than the cash price. Joseph purchased the machine on hire purchase terms. He paid a deposit of sh 8 520 and ten equal monthly instalments. How much was the monthly instalment?
- sh 20 000
- sh 2 852
- sh 2 480
- sh 2 000

- The average mass of 36 pupils is 45 kg. The average mass of the pupils together with their teacher is 46 kg. How much more is the mass of the teacher than the average mass of the pupils?
- 127 kg
- 82 kg
- 37 kg
- 36 kg

- The marked price of a bag of beans was sh 4 500. A school bought eight bags of beans at a total cost of sh 34 400. What was the total discount allowed?
- sh 200
- sh 1 600
- sh 4 300
- sh 4 700

- A trader bought 10 crates of soda at sh 600 per crate. He paid sh 30 per crate for transportation. Each crate of soda contained 24 bottles but ten bottles broke during transportation. He later sold each bottle of soda for sh 30. What percentage profit did the trader make?
- 20
- 14
^{2}/_{7} - 10
- 9
^{11}/_{21}

- A poultry farmer bought the following items:
*2 chick feeders @sh 85**5 bags of chick mash @sh 450**4 bags of growers mash @sh 650**2 packets of chick formula for sh 150*

She paid for the items using 6 one thousand shilling notes. How much balance did she get?- sh 680
- sh 830
- sh 4 665
- sh 5 170

- In the figure shown, lines RS and TU are parallel. Line VW is a transversal.

Which one of the following statements is correct?- Angle a = Angle f
- Angle (c+e) = 180°
- Angle (g+d) = 180°
- Angle (d+h) = Angle (a+e)

- Juma bought a pair of trousers for sh r. He also bought a pair of shoes for twice the price of a pair of trousers and a shirt for half the price of the pair of trousers. He paid using two sh x notes. Which one of the following expressions represents the balance Juma got?
- x − 3
^{1}/_{2}r - 2x − 3
^{1}/_{2}r - 2x + 3
^{1}/_{2}r - x + 2 − 3
^{1}/_{2}r

- x − 3
- The following pie chart shows sales made by a farmer in a certain day.

The value of the sales for maize was sh 880. What was the value of the sales for bananas?- sh 1760
- sh 2 420
- sh 2 860
- sh 7 920

- Which one of the following statements is correct about all right angled triangles?
- Two sides are equal
- Two angles are right angles
- The largest angle is 90°
- The longest side is opposite the smallest angle

- Eighteen men working at the same rate can complete a job in 30 days. How many more men, working at the same rate can complete the same job in 12 days?
- 15
- 27
- 33
- 45

- The following are properties of quadrilaterals.
- all sides are equal
- opposite angles are equal
- all angles are equal
- diagonals bisect each other

Which one of the properties is true for a rhombus?- (ii), (iii), (iv)
- (i), (ii), (iii)
- (i), (iii), (iv)
- (i), (ii), (iv)

- Which one of the following statements is correct?
- 0.45 > 48%
^{1}/_{4}< 0.2^{3}/_{4}= 0.85- 0.36 >
^{7}/_{20}

- Construct triangle PQR such that line PQ = 8 cm, angle RPQ = 45° and angle PRQ = 75°. Construct a perpendicular line from point R to meet line PQ at M. What is the measure of line RM?
- 2.9 cm
- 5.0 cm
- 5.9 cm
- 7.2 cm

- The following table shows a timetable for a certain aeroplane plying from Airport S to Airport V.

Airport Arrival time Departure time S

T

U

V

1450h

1610h

1805h1400h

1510h

1620h- 20 minutes
- 30 minutes
- 1 hour 20 minutes
- 1 hour 40 minutes

- Brenda has x books. Amina has thrice as many books as Brenda. Juma has 10 books less than the total number of books both Brenda and Amina have. They have a total of 86 books altogether. Which one of the following equations can be used to find the number of books Brenda has?
- 8x − 10 = 86
- 8x + 10 = 86
- 4x + 10 = 86
- 4x − 4 = 86

- The bar graph below shows the amount of milk, in litres, a farmer got from his farm in one week.

Which two days following each other in the week had the highest total production of milk?- Tuesday and Wednesday
- Wednesday and Thursday
- Wednesday and Sunday
- Saturday and Sunday

- Lorries delivered 84072 bags of maize to a refugee camp. What is the number of bags of maize in words?
- Eighty thousand four hundred and seventy two
- Eighty four thousand seven hundred and two
- Eighty four thousand and seventy two
- Eighty four thousand seven hundred and twenty

- In a hospital, 436587 children were vaccinated against polio in a certain year. What is the total value of digit 6 in the number?
- 600
- 6000
- 60000
- 600000

- A tree nursery had 368593 seedlings. Customers bought 27364 tree seedlings in a day. How many tree seedlings remained?
- 395957
- 341239
- 341229
- 94953

- A milk processing factory produced 19468 packets of milk. How many packets of milk to the nearest thousands were produced?
- 20000
- 19500
- 19470
- 19000

- What is the next number in the pattern?

8, 24, 72, 216,_________________- 232
- 264
- 360
- 648

- Work out

24 ÷ 3 + 9 x 6 − 4- 8
- 26
- 58
- 98

- Musa spent
^{2}/_{5}of his salary on food. He also^{1}/_{4}spent of the salary on rent. What is the total fraction of the salary that Musa spent on food and rent?^{13}/_{20}^{9}/_{20}^{7}/_{20}^{3}/_{20}

- What is the value of 9
^{5}/_{6}– 1^{1}/_{3}?- 11
^{1}/_{6} - 9
^{1}/_{6} - 8
^{2}/_{3} - 8
^{1}/_{2}

- 11
- Wangeci made a necklace using red and green beads. The red beads used were 25% while the rest were green. Which of the following decimals represent the green beads?
- 7.5
- 0.75
- 0.075
- 0.0075

- A tailor bought a fabric material. He used 0.263 of the fabric to make a pair of shorts, 0.287 to make a shirt and 0.45 to make a dress. How much of the fabric was used to make both the dress and the shirt?
- 0.332
- 0.637
- 0.713
- 0.737

- The height of water in a dam increased by 5 cm after it rained. What is the increase in the height of water in millimetres?
- 50
- 500
- 5000
- 50000

- A teacher drew the folowing shape on the board.

What is the perimeter of the shape?- 43 cm
- 48 cm
- 50 cm
- 58 cm

- A ribbon is 31 cm 6 mm long. Rehema cut 5 cm 3 mm of the ribbon to make a flower. What length of the ribbon remained?
- 26 cm 3 mm
- 34 cm 3 mm
- 36 cm 9 mm
- 36 cm 3 mm

- A wall of a rabbit hutch is in the shape of a rectangle and a triangle as shown.

What is the area of the wall?- 6370 cm
^{2} - 5590 cm
^{2} - 4810 cm
^{2} - 3185 cm
^{2}

- 6370 cm
- Kimeto drinks 3.7 litres of water everyday. How many millilitres of water does he drink?
- 37
- 370
- 3700
- 37000

- A road construction company mixed sand and small stones. The mass of sand was 18 tonnes 481 kilograms. The mass of small stones was 12 tonnes 394 kilograms. What is the total mass of the mixture?
- 30 tonnes 875 kilograms
- 30 tonnes 775 kilograms
- 20 tonnes 875 kilograms
- 6 tonnes 87 kilograms

- A tea processing factory distributed fertilizer to farmers using 4 lorries. Each lorry carried 24 tonnes 235 kilograms of fertilizer. What was the total mass of the fertilizer distributed?
- 96 tonnes 940 kilograms
- 96 tonnes 920 kilograms
- 96 tonnes 840 kilograms
- 86 tonnes 940 kilograms

- A flower company exported 4850000 kilograms of fresh flowers. How many tonnes of fresh flowers did the company export?
- 485000
- 48500
- 4850
- 485

- Wambua represented his school in a music festival. He began his performance in the afternoon at the time shown on the clock face.

At what time did Wambua begin his performance?- 2.07 p.m.
- 2.35 a.m.
- 2.35 p.m.
- 3.35 p.m.

- The table shows a travel timetable for a train from Manga station to Pate through Nanga.

**Station****Arrival time****Departure time**Manga 6.15 a.m. Nanga 8.30 a.m. 8.40 a.m. Pate 11.54 a.m. - 5 hours 39 minutes
- 3 hours 24 minutes
- 3 hours 14 minutes
- 2 hours 15 minutes.

- Ndemo assists his father to sell clothes in their shop. He sold a dress for sh 1 675. He made a profit of sh 390 after selling the dress. What was the buying price of the dress?
- sh 2 065
- sh 1 385
- sh 1 325
- sh 1 285

- The area of a rectangular piece of paper is 72cm
^{2}. The length of the paper is 9 cm. What is the width of the paper in millimetres?- 0.8
- 8
- 80
- 800

- Omondi drew accurately the triangle shown on a piece of paper.

Measure angle LMN using a protractor. What is the size of angle LMN?- 100°
- 80°
- 60°
- 40°

- While picking litter in the school compound, Munya picked the following 3-D object.

How many edges does the object have?- 6
- 8
- 9
- 12

- A carpenter joined five pieces of timber to make a window frame as shown.

Which of the following pieces of timber are parallel?- r and p
- m and n
- n and q
- r and q

- Grade 6 learners harvested tomatoes from their agriculture project. The bar graph shows the amount of money received from Monday to Friday after selling the tomatoes.

How much money did the learners receive on Wednesday?- sh 2 250
- sh 2 000
- sh 1 750
- sh 1 500

- During a geometry lesson, learners were asked to describe the faces of a cylinder, pyramid, cube and cuboid. Which of the following descriptions was correct?
- A cylinder has a square face
- A pyramid has a triangular face
- A cube has a rectangular face
- A cuboid has a circular face

- The table shows the number of patients who were treated for various diseases in a dispensary. Some information is missing in the table.

Disease Tally Number of patients *Malaria*12 *Diabetes*//// *Tuberculosis*//// / *HIV/AIDS*8 - 30
- 20
- 29
- 10

- Ngei had some oranges. He gave out 4 oranges to his friend. He remained with more than 6 oranges. Use letter p to represent the number of oranges that Ngei originally had. Which of the following inequalities correctly represents this information?
- p−4<6
- 6−p>4
- p−4>6
- p−6<4

- A self-help group shared some money among 50 women. Each woman in the group got sh 8 500. Use letter x to represent the amount of money shared. Which of the following equations correctly represents this information?
- 50x = 8500
^{ 50}/_{x}= 8500- x + 50= 8500
^{ x}/_{50}= 8 500

- What is eighteen million, eighteen | 6. thousand and cighteen and eighteen thousandths?
- 18 018 018.18000
- 18 108 018 018
- 18 018 018 .18
- 18 018 018.018

- How many groups of hundreds are there in the total value of digit 6 in the following number?
**2 368 753.25**- 60 000
- 6 000
- 600
- 60

- What is the value of

0.039 × 0.051×0.063 ?

0.013× 0.017 × 0.009- 0.063
- 0.63
- 6.3

- What is 72 072 divided by 24?
- 30 003
- 3003
- 303
- 33

- What is the product of the LCM of 18 and 24 and the GCD of 36 and 48?
- 12
- 72
- 84
- 864

- Below is a diagram of a rectangle.

What is the area of the rectangle?- 126m
^{2} - 46m
^{2} - 136m
^{2} - 112m
^{2}

- 126m
- What is the value of

3^{3}/_{4}of 5^{1}/_{3}/ +4^{2}/_{3}÷ 1^{3}/_{4 }× 1^{1}/_{3}?- 17
^{5}/_{9} - 22
^{5}/_{9} - 23
^{5}/_{9} - 18
^{5}/_{9}

- 17
- What is the next number in the pattern?

3, 6, 15, 42,- 123
- 81
- 119
- 109

- The diagram below shows a circle cut out from a semicircle.

28cm

What is the area of the remaining part of the semicircle?- 308cm
^{2} - 616cm
^{2} - 154cm
^{2} - 1232cm
^{2}

- 308cm
- 24 men working at the same rate can take 48 days to complete a certain job. How many more days would it take if 8 men failed to turn up?
- 64
- 16
- 24
- 8

- Ten pupils in a class sat for a test and got a mean of 18.9. The score for ninc pupils were 9, 12, 15, 18, 21, 24, 24, 24 and 27. What was the median score?
- 15
- 19.5
- 39
- 18

- A businessman borrowed sh.80 000 from a financial institution at a compound interest rate of 4% per annum. How much was in his account after two years?.
- Sh.6 528
- Sh.86 528
- Sh.6 400
- Sh.86 400

- What is the value of

2x^{2}+ 3y +3z

x + y + z

if x = 3, y = x + 5 and z = x + y.- 2
^{5}/_{22} - 1
^{5}/_{11} - 2
^{5}/_{11} - 1
^{5}/_{22}

- 2
- Mark spent
^{2}/_{5}of his salary o school fees and^{1}/_{4}on savings. e also spent^{3}/_{7}of the remainder on transport. If he was left with Sh. 16,800, how much was spent on savings?- Sh.12 600
- Sh. 21 000
- Sh. 33 600
- Sh. 84 000

- The diagram below shows a piece of land drawn to scale 1:50 000.

What is the actual area of the plot in hectares?- 10ha
- 100ha
- 1 000ha
- 10 000ha

- Sean paid sh.35 700 for a TV set after getting a discount of 15%. How much more would he have paid had he been given 10% discount?
- Sh.3 780
- Sh.6 300.
- Sh.4 200
- Sh.2 100

- A 33-scater bus and a 14-seater matatu ferried 343 passengers to a function. The matatu made an extra trip. If each passenger paid sh.80, how much more money did the bus earn than the matatu?
- Sh.18 480
- Sh.8 960
- Sh.9 520
- Sh.27 440

- Construct a triangle
**ABC**such that linc**BC**= 7cm,**AB**= 8cm and**AC**= 6cm. Draw a circle that touches points ABC. What is the length of the radius of the circle?- 2.0cm
- 3.9cm
- 4.2cm
- 8.3cm

- In the figure below
**ABCD**is a parallelogram and angle**ABC**= 80°.

What is the siza of angle**AED**?- 90°
- 45°
- 80°
- 55°

- In a school there are 180 pupils in lower primary and 240 pupils in upper primary. Each lower primary child is given 2-2
*dl*packets of milk every week. The pupils in upper primary are given 3-2*dl*packets cach week. How many litres do they consume in three weeks altogether?- 216/
- 432/
- 648
*l* - 504
*l*

- The stack below was made of cubes as shown below.

How many cubes were required to complete the stack?- 150
- 60
- 90
- 75

- Karim went on holiday on 28th October 2022 and went back to school on 3rd January 2023. For how many days was he on holiday?
- 65
- 66
- 67
- 68

- In a school, the ratio of boys to girls is 4:3. During a sporting activity, 1/6 of the of the girls took part and 1/5 boys took part. The number of girls who did not take part was 225. What was the population of the school?
- 360
- 270
- 630
- 570

- The table below shows the number of absentees in a class of 48 pupils.

Days Mon Tues Wed Thur Fri Girls 2 3 4 5 2 Boys 5 2 1 3 5 - 33
- 217
- 240
- 208

- Construct a parallelogram such that lines
**AB**= 6cm and**BC**= 8cm. Angle**ABC**= 125°. At point**C**drop a perpendicular to meet the extension of line**AB**at**X.**What is the length of line**AX**?- 10.5cm
- 4.5cm
- 6.5cm
- 7.6cm

- What is the simplest form of

3 (28x+49y) + 5 (12x-24y)?- 22x + y
- 22x + 4ly
- 22x − y
- 22x − 41y

- A sales agent is paid a basic salary of sh.24 000 and a commission of 4% on all the sales above sh.70 000. In one month, she earned a total of sh.39 000. What was the value of the sales that month?
- Sh.375 000
- Sh.26 800
- Sh.445 000
- Sh.345 000

- The pic chart below represents how Ben spent his money in a certain month.

If sh.32 000 was saved, how much more was spent on personal development than on clothings?- Sh.96 000
- Sh.57 600
- Sh.38 400
- Sh.19.200

- A bus left town
**A**for town**B**on Thursday at 9.30pm. The journey took 13hrs 30 min. On which day and time did the bus get to town**B**in 12hr clock system?- Friday 11.00pm
- Saturday 10.00am
- Friday 11.00am
- Saturday 10.00pm

- A cylindrical water tank whose height is 4.2m has a diameter of 2.8m. If the tank is full of water, how many 5 more litres are needed to fill the tank?
- 25 872/
- 20 697.6/
- 5174.4/
- 12 936/

- 31. A rectangular plot of land has a diagonal of 195m and the width measures 75m. The land is to be fenced using five strands of wire. What is the length of the wire required?
- 510m
- 2550m
- 1350m
- 2700m

- Amani bought the following items from a shop.
*22kgs of sugar@sh. 130.**4-litre packets of milk at sh. 120 per litre.**2-2kgs of wheat flour@sh. 118 per kg.**11⁄21⁄2kgs of salt for sh.45**3litres of cooking oil @sh. 110 per half litre.*If she paid using 2-1000 shillings notes, how much balance did she get?- Sh.1 742
- Sh.258
- Sh.1 412
- Sh.588

- A clock gains 10 seconds after every two hours. The clock was set right on Tuesday at 7.30am. At what time. did it show the following Tuesday at 7.30pm?
- 7.15pm
- 7.16pm
- 7.29pm
- 7.45pm

- Ken is 36 years older than his son. His wife is 8 years younger than him. If their total age is 106 years now, how old is his wife now?
- 46
- 22
- 38
- 28

- The table below shows the charges of | 38. The figure below shows a triangular. sending money orders both inland and interstate.

Nancy sent two inland money orders valued at sh.8 500 and sh.17 000. She also sent two interstate money orders valued at sh.4 500 and sh.22 500. How much money at the post office did she pay?- Sh.53 397
- Sh.970
- Sh.53 470
- Sh.897

- What is the value of x in the equation

x + 2(x − 3) = 8

3 2- 8
^{1}/_{4} - 3
^{3}/_{4} - 7
^{1}/_{3} - 4
^{3}/_{4}

- 8
- The fractions 4/7, 7/9, 8/11 and 9/13 are to arranged in a descending order. Which is their
**correct**order of arrangement?^{4}/_{7},^{9}/_{13},^{8}/_{11},^{7}/_{9}^{9}/_{13},^{8}/_{11},^{7}/_{9},^{4}/_{7}^{7}/_{9},^{8}/_{11},^{9}/_{13},^{4}/_{7}^{4}/_{7},^{7}/_{9},^{8}/_{11},^{9}/_{13}

- The figure blow shows a traingular prism

What is the volume of the prism?- 2400cm
^{3} - 4800cm
^{3} - 2720cm
^{3} - 5440cm
^{3}

- 2400cm
- In an election, four candidates took part. The winning candidate got 0.48, the second candidate got 0.22 and the third candidate got 0.6 of the remainder. If the fourth candidate got 3600 votes, how many votes than the second candidate did the winning candidate get?
- 7 800
- 14 400
- 6 600
- 30 000

- An empty 54-seater capacity bus has a mass of 1.8 tonnes.of the seats are occupied by adults with a mean mass of 72kg and the rest occupied by children with a mean mass of 45kg. The driver has a mass of 80kg. What is the mass of the loaded bus in kgs?
- 3482
- 3.482
- 5282
- 5.282

- After working for 15 days, a driver and a conductor carn sh.45 000 in total. After working for 25 days the driver carns sh,43 750. How much will the conductor earn in the month of August if he did not work for five days?
- Sh.38 750
- Sh.93 000
- Sh.78 000
- Sh.32 500

- Richard travelled from Laare to Nairobi a distance of 420km. It took him four hours to travel to Nairobi. He stayed at Nairobi for two hours and then drove back taking 3hours. What was the average speed for the whole journey?
- 93
^{1}/_{3}km/h - 120km/h
- 96km/h
- 126km/h

- 93
- A farmer harvested 260 bags of maize in the year 2021. In the year 2022, the harvest increased by 15%. He was left with 49 bags and sold the rest at sh.3 500. How much money did he get?
- Sh.1 046 500
- Sh.1 956 500
- Sh.1 785 000
- Sh.875 000

- A rectangular water tank measures 1.2m by Im by 0.75m. How many litres does it hold when half full?
- 900/
- 450/
- 1800
*l* - 1350
*l*

- Three girls contributed sh.3 600 to buy a gift. Nancy contributed twice as much as Nimo and Mary. Mary contributed sh.600 more than Nimo. If Nimo contributed sh.x, which of the following equations can be used to get the amount Nancy contributed?
- 2x + 600 = 3600
- 4x + 1 200 = 3 600
- 6x + 1 800 = 3 600
- 6x + 1 200 = 3600

- Nephat sold a cow for sh.17 600 making a 12% loss. At what price should he have sold the cow to make a 30% profit?
- Sh.20 000
- Sh.24 000
- Sh.22 800
- Sh.26 000

- The hire purchase price of an item is 140% of the marked price. Linet paid a deposit of sh.24 000 and a monthly deposit of sh.12 000 for one year. What was the marked price of the item?
- Sh.144 000
- Sh.168 000
- Sh.120 800
- Sh.48 000

- The table below shows a farc chart from town
**A**to town**F**.

Anita, her husband and their four children travelled from town**A**to town**F**via town**D.**How much fare did they pay if the children paid half their fare?- Sh.1 320
- Sh.1 980
- Sh.1 200
- Sh.2 400

- What is the square root of √0.0081 ?
- 0.09
- 0.009
- 0.03
- 0.3

- The graph below shows the journey by a motorist from town A to town B and back.

What is the average speed for the whole journey?- 64km/h
- 30km/h
- 24km/h
- 48km/h

**MARKING SCHEME**

- D
- C
- D
- B
- D
- A
- C
- A
- C
- C
- B
- B
- D
- B
- C
- D
- C
- C
- A
- C
- B
- C
- C
- D
- A
- A
- B
- D
- C
- C
- B
- B
- D
- A
- C
- A
- C
- A
- B
- C
- D
- A
- C
- B
- C
- D
- C
- A
- A
- D

- In Kisumu county, seven hundred and ninety -six thousand, six hundred and ninety-six shillings, was donated to shiner's youth group. for empowerment by the cabinet secretary of sports. What was the total amount donated in symbols?
- 769696
- 766669
- 7966696
- 796696

- A vendor sold 61799 newspapers in the month of June. How many newspapers were sold to the nearest hundreds?
- 62000
- 61700
- 61790
- 61800

- Work out: 5748 x 26
- 149448
- 1494480
- 5774
- 149484.

- A farmer harvested 103 bags of groundnuts. He sold all the bags at sh 1436568 to a supermarket. What is the total value of the amount represented by digit ↳ in the figure in shillings?
- 40000
- 400000
- Thousands
- Tens of thousands.

- Grade six learners were asked to write the smallest factor of 144. What did they write as the correct answer?
- 144
- 1
- 2
- 12

- Joy, a grade six learner, made number cards and arranged them as shown below.

What did Joy write on the fifth card?- 48
- 62
- 72
- 70.

- A carpenter has two pieces of timber measuring 224cm and 280 cm respectively. He cut the two into smaller pieces of equal length. What was the length of the longest common pieces cut from the timber?
- 8
- 4
- 18
- 20

- Solve the value of x:

6x + 10 = 58- 8
^{4}/_{8} - 48
- 8
- 9
^{4}/_{8}

- 8
- During a county music festival 10000 participants presented their items. The number of participants who took position one were only 52. Express the fraction of those who took position one. as a decimal.
- 0.52
- 0.0052
- 0.052
- 5.2.

- The circle below shows how a farmer divided his land.

The shaded part shows the used land. What is the equivalent fraction to the land that is unused?^{ 2}/_{5}^{6}/_{10}^{4}/_{10}^{8}/_{16}

- Work out 49cm 6mm ÷ 8
- 6cm 2mm
- 5cm 12mm
- 6cm 4mm
- 5cm 2 mm.

- John, a mathematics teacher, displayed a card below during a mathematics lesson.

What is the reciprocal of the fraction in the card?^{42}/_{7}^{46}/_{6}^{7}/_{46}^{46}/_{7}

- During an assessment, the analogue clock face in the room showed the following time.

Which type of angle was formed by the minute. hand and hour hand at 9.00?- Right angle
- Obtuse angle
- Acute angle,
- Reflex angle

- Ondiek cut a
^{7}/_{8}piece of sugarcane from the farm. He shared^{1}/_{4}of the piece of sugarcane with his friend Rehema. What fraction of the piece of sugarcane remained?^{21}/32^{5}/_{8}^{1}/_{2}^{1}/_{8}

- Serah had 7
^{3}/_{5}kg of flour. She used 5^{2}/_{5}of the flour. How much flour remained?- 13
^{1}/_{5} - 13
- 2
^{5}/_{10} - 2
^{1}/_{5}

- 13
- A patient's mass was 59.3972 kg. The doctor rounded off the figure to 2 decimal places and noted it down.

What did the doctor write?- 59.40
- 59.39
- 58.40
- 59.00

- What is 27.4934 + 132.26?
- 40.7194
- 28.816
- 159.7534
- 159.7435

- A learner was given a plain paper which she painted as shown below.

What is the area of the part that was shaded if the figure had a base of 13cm and a height of 8cm?- 52cm
^{2} - 104cm
^{2} - 21 cm
^{2} - 52cm

- 52cm
- What is 9% as a decimal?
- 9.00
- 0.09
- 0.90
- 0.009.

- Find the next two numbers in the pattern below.

4,16, 36, 64,_________ _________- 64,81
- 81,100
- 100, 144
- 9,10.

- Anita is a mathematics leader in Grade 6. Shetold her classmates to work out the following

(^{3}/_{8})^{2}What was the correct answer?^{6}/_{16}^{64}/_{9}^{9}/_{64 }^{3}/_{8}

- Arrange
^{1}/_{7},^{2}/_{3},^{4}/_{21},^{5}/_{6}from the largest to the smallest?^{1}/_{7,}^{2}/_{3,}^{4}/_{21,}^{5}/_{6}^{1}/_{7,}^{4}/_{21,}^{2}/_{3,}^{5}/_{6}-
^{5}/_{6,}^{2}/_{3,}^{4}/_{21,}^{1}/_{7,} ^{5}/_{6,}^{2}/_{3, }^{1}/_{7,}^{4}/_{21}

- Add 25kg 67 lg to 9 kg 300g.
- 16kg 371g
- 34kg 790g
- 34kg 97 lg
- 43kg 791g

- A farmer had t ducks, w turkeys and y pigeons. How many birds did he have altogether?
- t + w
- t+w+y
- w-t+y
- w + y.

- A square piece of land measures 29km 450m. Wamaidha drove round the land 5 times. What distance did he cover?
- 142km 2250m
- 147km 2250m
- 147km 250 m
- 142km 250 m.

- What is 49 ÷ 7 x 150 − 735
- 3150
- 31500
- 3510
- 315.

- A lesson started at 12.30 pm and ended at 2.05 pm.How long did the lesson take?
- 10 hr 35 mins
- 1hr 25mins
- 1 hr 35mins
- 10 hrs 25 mins

- Musa was going to school. Before he could reach the school gate, he realized that he had left his scarecrow at home. He turned back to go and pick it. Which turn was made by Musa?
- ½ turn
- ¼ turn
- Full turn
^{3}/_{4}turn

- Which quadrilateral has the following properties?
- All sides are equal.
- Interior angles are equal.
- Diagonals are equal.
- Diagonals meet at at right angle.
- Rectangle
- Parallelogram
- Rhombus
- Square

- The types of vehicles that were packed in an area were recoded in a graph as shown

.

Which type of vehicle was the least parked in the area?- Lorries
- Matatus
- Buses
- Cars

- D
- D
- A
- B
- B
- C
- A
- C
- B
- A
- A
- C
- B
- B
- D
- A
- C
- A
- B
- C
- C
- C
- C
- B
- C
- D
- C
- A
- D
- B

- Write thirty six million thirty six thousand and thirty six thousand and thirty six.
- 36 036 306
- 36 306 306
- 36 306 .036
- 36 036 036

- What is 269.8999 rounded off to the nearest thousandth?
- 269.899
- 269.900
- 269.000
- 270.000

- Which of the following inequality statements is correct?
- 004 = 40%
^{2}/_{5}> 40%- ¾ = 65%
- 0.01 < 10%

- What is the total value of digit 4 in the number 387.2847?
- Hyundreth
- Thousandth
^{4}/_{1000}^{4}/_{100}

- The perimeter of a square is 224m. What is twice the area?
- 3136m
^{2} - 448m
^{2} - 1244m
^{2} - 6272cm
^{2}

- 3136m
- What is the value of

4(5^{2}− 3^{2}) + 9 x 4

√36 ÷ 2- 33
^{1}/_{3} - 25
- 100
- 5
^{5}/_{9}

- 33
- What is the value of
^{2}/_{5}of (^{3}/_{5}−^{3}/_{8}) +^{2}/_{5}x^{3}/_{4}- 1
^{17}/_{100} - 1
^{6}/_{25} - 2
^{17}/_{50} - 1
^{17}/_{50}

- 1
- Which of the following is the next number in the sequence?

1, 2, 6, 15, 31- 56
- 53
- 61
- 59

- What is the value of

62 − 4(35 − 24) ?

12 ÷4- 4
- 3
- 24
- 6

- A family consumes 6-500ml packets of milk daily. low many litres did they consume from 13 January to 11* April of the year 2022?
- 26.1
*litres* - 261
*litres* - 267
*litres* - 258
*litres*

- 26.1
- What is the sum of the square ol 4½ and the square root of 18
^{1}/_{16}?- 9
^{5}/_{16} ^{81}/_{4}^{13}/_{16}- 4¼

- 9
- Construct a triangle
**PQR**such that line**PQ =**6.5cm,**PR**= 7.5cm and angle**PQR**= 69°. From point**R**drop a perpendicular to meet line**PQ**at**X**.

What is the size of angle**PRX**?- 29°
- 61°
- 151°
- 126°

- Kibet had sh 1000 note. He wanted to change into denominations of sh 500, sh 200, sh 100 and sh 50. How many notes did he get?
- 5
- 4
- 7
- 6

- Osman deposited sh.300 000 in a commercial bank that paid simple interest at 6% per annum. How much was the amount in his account after 18 months?
- Sh. 327 000
- Sh. 27 000
- Sh. 18 000
- Sh 318 000

- John left Mumias for Busia at 10:36 am. He drove at a speed of 90km/hr for a distance of 60km. At what time did he get to Busia?
- 11:26am
- 11:16am
- 10:56am
- 12:16pm

- A rectangular water tank measures 3.2m by 2.4m by 1.8m high when full of water. After 3 days the level of water dropped by 60cm. How many litres remained in the tank?
- 13 824
*ltrs* - 4 608
*ltrs* - 9 216/
*trs* - 5 400
*ltrs*

- 13 824
- What is the value of x in the equation

x −1 + 3x + 7 = 6

2 8- 7
^{3}/_{7} - 52
- 45
- 6
^{3}/_{7}

- 7
- A Kigali bound bus left Nairobi on Monday 8:30pm. The journey was to take 2¼ days. On reaching Busia border, the bus delayed for 3hrs. At what day and time did the bus get to Kigali?
- Thursday 2:30am
- Wednesday 2:30am
- Thursday 5:30 am
- Wednesday 5:30am

- Janet made a loss of 12% for selling 23. The line AB below is a part of a an item at sh.17 600. How much would she have sold to make a 25% profit?
- Sh.20 000
- Sh.25 000
- Sh.22 000
- Sh.26 500

- What is the value of 2x(y − z)

y + z

if x = 4, y = 3x and z = ½y- 2
^{2}/_{3} - 1¾
- 2¾
- 1
^{1}/_{3}

- 2
- Kim spent of his salary on fees, of the remainder on rent and the rest on savings. If the savings was sh.7 500 how much did he spend on rent?
- Sh.11 250
- Sh.33 750
- Sh.3 750
- Sh.22 500

- The following are characteristics of a certain quadrilateral:
*(i) One pair of parallel lines.**(ii) Diagonals are not equal.**(iii) Interior angles add upto 360°.*

The quadrilateral described above is a- Trapezium
- Rectangle
- Rhombus
- Parallelogram

- The line
**AB**below is a part of arhombus**ABCD**where angle**BAD**= 120°. From point C drop a perpendicular to meet line**AB**at**X**.

What is the length of line AB?- 7cm
- 4.9cm
- 2.5cm
- 3.1cm

- During a prayer rally in Nyayo stadium, a total of 5 700 children were in attendance. The number of women was
^{2}/_{3}that of children but 500 less than that of men. How many people attended the prayer rally altogether?- 3 800
- 10 000
- 13 800
- 4 300

- The table below shows a fare chart in shillings for a bus from a certain route.

Three adults and four children travelled from town**A**to town**E**via town**C**. On reaching town**C,**one more adult and two children joined the passengers. How much money did they pay altogether if the children paid half of the fare?- Sh.2 200
- Sh.2 250
- Sh.2 240
- Sh.1 400

- A clock loses ten seconds every hour. If it was set right on Monday 8:00am, what time did it show the following Monday at the same time?
- 8:28am
- 7:32am
- 8:28pm
- 7:32pm

- Wagalla paid sh.30 400 for an item after getting a 5% discount on the marked price. How much less would he have paid had he been given a 10% discount?
- Sh.1 600
- Sh.3 200
- Sh.28 800
- Sh.33 600

- The mass of an empty carton is 0.8kg. The carton is filled up with 24-500g tins of cooking fat. A pickup whose mass when empty is 1.2 tonnes is packed with 80 such cartons. What is the total mass of the loaded pickup in kgs?
- 1024 kg
- 2224kg
- 960kg
- 2160kg

- Which of the following set of measurements cannot be used to form a right angled triangle?
- 4.5cm, 6cm, 72cm
- 1.2m by 1.3m by 1.5m
- 0.5m, 1.2m, 1.3m
- 0.8m, 1.5m, 1.7m

- The mass of ice was −20°C. It was heated for five minutes and the new temperature was 45°C. What was the rate of temperature rise in celsius per minute?
- 13°C per min
- 9°C per min
- 8°C per min
- 11°C per min

- A water tank measures 60cm by 50cm by 40cm. The tank is open at the top. What is the area the of internal surface area?
- 14 800cm
^{2} - 12 000cm
^{2} - 11 800cm
^{2} - 12 400cm
^{2}

- 14 800cm
- Three boys Ben, Bett and Tom contributed sh.1 200 to buy a ball. Tom contributed twice as much as both Bett and Ben. Bett contributed sh.200 more than Ben. If Ben contributed sh.x, which of the following equations can be used to get the amount contributed by Tom?
- 3x + 200 = 1 200
- 3x + 300 = 1 200
- 6x + 600 = 1 200
- 5x + 600 = 1 200

- Karen and Sylvia shared some money in the ratio 3:5. If Sylvia got sh.3 900 more than Karen, how much money were they sharing?

A. Sh.9 750

B. Sh.10 400

C. Sh.5 850

D. Sh.15 600 - A sales agent earns a basic salary of sh.18 500. She is also paid 9% commission on all the sales she makes above sh.50 000. In one month she earned sh.68 900. How much was her sales that month?
- Sh.560 000
- Sh.520 000
- Sh.24 701
- Sh.610 000

- What is the difference of the LCM and HCF of 12,16, and 24?
- 48
- 4
- 52
- 44

- Below is a solid net.

What is the correct number of faces, edges and vertices?

**F E V**- 9 5 6
- 5 9 6
- 6 5 9
- 9 6 5

- In an election, four candidates got votes as follows:
*Third candidate got 0.23**Second candidate got 0.27.**First candidate got 0.42.*Fourth candidate got the rest which were 6400 votes. How many more votes did the winning candidate get than the second candidate?- 80 000
- 33.600
- 18.400
- 12 000

- James scored the following in a test.

Subject Maths Eng Sci Kiswa Score 80 90 60 70 - 24°
- 72°
- 96°
- 108°

- Onyango travelled from Nyando to Machakos a distance of 432km in four hours. He drove back taking 6hrs. What was the average speed for the whole journey?
- 72 km/h
- 108 km/h
- 86
^{2}/_{5}km/h - 96 km/h

- The diagram below shows a piece of land

What is its perimeter?- 198m
- 231m
- 330m
- 99m

- The cash price of a generator is sh.240 000. The hire purchase price is 25% more than the cash price. Hassan paid a deposit and the rest in 15 equal monthly instalments of sh.17 600. How much was the deposit?
- Sh.24 000
- Sh.36 000
- Sh.64 000
- Sh.46 000

- A group of 54 men can take 72 days, to complete a certain job. How many more days would it take if 18 men failed to turn up?
- 108
- 48
- 18
- 36

- What is the simplest form of

3(2x + 4y) + 2(3x + 2y),?

2(4y + 6x)- 4y + 2x

2x + 4y - 2y + 3x

3x + 2y - 4y + 3x

2y + 3x - 3x + 2y

4x + 3y

- 4y + 2x
- The fractions
^{3}/_{7},^{2}/_{3},^{4}/_{9}and^{8}/_{11 }are to be arranged from the smallest to the largest. Which of the following is the correct order?- 8/
_{11},^{ 3}/_{7}^{, 2}/_{3},^{ 4}/_{9} ^{2}/_{3},^{3}/_{7},^{4}/_{9},^{ 8}/_{11}^{3}/_{7},^{4}/_{9},^{ 2}/_{3},^{8}/_{11}^{8}/_{11},^{2}/_{3},^{4}/_{9},^{3}/_{7}

- 8/
- The number of pupils enrolling in a school in a subcounty increased to 4800 in this year. If it was a 20% increase from last year, how many pupils enrolled last year?
- 5760
- 4200
- 4000
- 5600

- Leah's piece of land is drawn to scale 1:20000. If it measures 5cm by 3cm on the map, what is its actual area in hectares?
- 0.6
- 60
- 600
- 6000

- The figure below shows a right angled traingle joined to a semi circle.

What is the area of te figure above?- 5026 cm
^{2} - 1925 cm
^{2} - 3101 cm
^{2} - 1176 cm
^{2}

- 5026 cm
- 48. A wheel of diameter 56cm made 4000 revolutions. What distance in km did it cover?
- 704km
- 7.04km
- 352km
- 3.52km

- 49. Cynthia bought the following items from the shop:
*3kg sugar @ Sh. 230**32kg of rice @ Sh. 100**6-500ml packets of milk @60 per packet. 3 litres of cooking oil for Sh. 540.**3 bars of bathing soap for Sh.240*

If she paid using 3- 1000 shilling notes, how much balance did she get?- Sh. 2180
- Sh. 820
- Sh. 340
- Sh. 260

- In the figure below line
**FL**is parallel to line**GJ.**Angles**KIJ =**62 and**IHG**= 54°

What is the size of angle EFK?- 126°
- 64°
- 116°
- 118°

**MARKING SCHEME**

- D
- B
- D
- C
- A
- A
- B
- A
- D
- C
- A
- A
- D
- A
- B
- C
- D
- C
- B
- A
- D
- A
- B
- C
- B
- B
- A
- B
- B
- A
- C
- C
- D
- D
- B
- D
- D
- A
- C
- C
- B
- D
- C
- C
- C
- B
- C
- B
- B
- C

- Mong' are imported four hundred and eighty six thousand and thirty nine computers in one year. What is this in symbols?
- 4860039
- 486039
- 48639
- 4086039

- What is the difference of the total value of digit 9 and 5 in the number
**8940567**?- 900 000
- 900 500
- 899 500
- 909 500

- Work out:-
**48 + 2 x 90 ÷ 9 – 20**- 480
- 68
- 48
- 28

- What is the reciprocal of
^{3}/_{8}?- 3
^{1}/_{8} - 2
^{2}/_{3} - 2
^{1}/_{8} - 1
^{5}/_{8}

- 3
- Add: 1
^{1}/_{5}+ 2^{1}/_{3}- 3
^{8}/_{15} - 3¼
- 2
^{1}/_{15} - 3
^{1}/_{7}

- 3
- What is the smallest five digit number that can be formed from
**8, 6, 9, 2**and**3**?- 23869
- 98632
- 29368
- 23689

- What is the missing number in the sequence below?
**72, 68, _____,60, 56**- 64
- 66
- 62
- 63

- What is 0.75 expressed as a percentage?
- 0.75%
- 7.5%
- 7500%
- 75%

- An athlete went round the figure below three times. (II =
^{22}/_{7},)

What distance did he cover?- 88m
- 112m
- 176m
- 528m

- Work out: 4
^{1}/_{4}− 2^{2}/_{3}=- 1
^{1}/_{12 } ^{7}/_{12}- 2
^{7}/_{12} - 1
^{5}/_{12}

- 1
- What is the L.C.M of
**10, 15**and**45**?- 5
- 45
- 60
- 90

- Divide: 78026 ÷ 13 =
- 6002
- 602
- 62
- 60002

- Calculate the area of the figure below

- 156cm
^{2} - 60cm
^{2} - 78cm
^{2} - 30cm
^{2}

- 156cm
- A trader bought
**12**tonnes of sugar. He packed it in**500g**packets. How many packets did he obtain?- 24000
- 2400
- 240
- 24

- What is the size of the angle
**PQR**in the figure below?

- 115°
- 105°
- 85°
- 65°.

- What is the sum of:
**15**tonnes**470kg**and**23**tonnes**950kg**?- 39t 520kg
- 39t 420kg
- 38t 520kg
- 38t 1420kg

- Kemboi bought a radio for
**sh. 3500.**He later sold it for**sh. 2700**. How much loss did he get?- sh. 4200
- sh. 6200
- sh. 800
- sh.1800

- What is the size of angle
**x**in the figure below?

- 57°
- 63°
- 123°
- 67°

- Identify the 3-D object below

- Triangular prism
- Rectangular pyramid
- Triangular pyramid
- Rectangular prism

- Simplify the inequality below

Y _ 3 > 9

2- y < 6
- y > 24
- y <6
- y < 12

- Round off
**87291**to the nearest thousands.- 88000
- 87300
- 87000
- 90000

- What is the value of; (7)
^{2}?

9^{14}/_{18}^{49}/_{54}^{77}/_{99}^{49}/_{81}

- What is the place value of digit
**3**in the number**8.7639**?- Tens
- Thousandths
- Hundredths
- Tenths

- What is the volume of the cuboid below?

- 843 cm
^{3} - 96 cm
^{2} - 96cm
^{3} - 15cm
^{3}

- 843 cm
- A water tank carries 12000cm
^{3}when full. What is this capacity in litres?- 1.2
- 12
- 120
- 1200

- A bus left Mombasa for Kisumu 6hrs 15minutes after midnight. What time is it in 24 hour clock system?
- 6:15pm
- 1815hrs
- 0615hrs
- 18:15am

- Lenox bought 8¼-kg of mutton. He cooked 4
^{5}/_{6}-kg for his guests. How many kilograms did he remain with?- 3
^{5}/_{12}kg - 4
^{5}/_{12 }kg - 3
^{7}/_{12}kg - 4
^{7}/_{12}kg

- 3
- Work out:-

99285 + 476291- 575576
- 585576
- 574576
- 5755

- What is the sum of even numbers between
**60**and**70**?- 130
- 390
- 260
- 420

**The graph below shows the amount of milk sold by a dairy farmer in one week,**How many litres of milk did the farmer collect in the week?- 1475
- 1275
- 1475
- 1375

**MARKING SCHEME**

- B
- C
- C
- B
- A
- D
- A
- D
- D
- A
- D
- A
- D
- A
- C
- B
- C
- A
- C
- B
- C
- D
- B
- C
- B
- C
- A
- A
- C
- D

- The number of registered voters in a certain constituency is nine hundred and nine thousand, nine hundred and nine. What is this in symbols?
- 9009909
- 909909
- 9990909
- 99909

- Round off 28298 to the nearest hundreds.
- 28300
- 28200
- 28000
- 282100

- What is the place value of digit 2 in the number 256834 ?
- Hundred thousands
- Two hundred thousands
- Thousands
- Millions

- Add:

540150

+ 438228

_________- 788397
- 878378
- 878377
- 978378

- What is the L.C.M of 12, 15 and 18 ?
- 60
- 90
- 45
- 180

- What is the total value of digit 8 in the number 786524 ?
- 80000
- 8000
- 86000
- 87000

- What is the area of the rectangle below?
- 92cm
^{2} - 448cm
^{2} - 348cm
^{2} - 438cm
^{2}

- 92cm
**Add:**

Km m

27 272

× 6

______________- 162km 1632m
- 164km 632m
- 163km 632m
- 165km 632m

- Jemimah worked out the sum below.

122 + 378 − 150. What was the correct answer?- 200
- 350
- 228
- 450

- What is the place value of digit 4 in the number 25.843 ?
- Tenths
- Hundredths
- Thousands
- Thousandths

- Multiply:

374

x 26

_____- 9724
- 8724
- 9714
- 8734

- What fraction is unshaded?
^{ 1}/_{3}^{3}/_{8}^{5}/_{8}^{2}/_{3}

- A journey by bus took 365 minutes. How long was it in hours and minutes?
- 36 hours 5 minutes
- 3 hours 65 minutes
- 6 hours 5 minutes
- 5 hours 35 minutes

- Which pair shows multiples of 6 before 36 ?
- 12 and 18
- 30 and 36
- 24 and 30
- 42 and 48

- What is the volume of the cuboid below?.
- 252cm
^{3} - 152cm
^{3} - 63cm
^{3} - 242cm
^{3}

- 252cm
- Subtract 215850 from 872171.
- 656321
- 656421
- 655321
- 666321

- Work out:

72 ÷ 24 x 4 + 3 − 10- 15
- 12
- 5
- 3

- An athlete covered 12000m. What distance did he cover in Km ?
- 1.2km
- 12km
- 120km
- 1200km

- Work out:
^{9}/_{10}−^{3}/_{5}^{3}/_{10}^{1}/_{5}^{7}/_{10}^{3}/_{5}

- Which angle represents a reflex angle?
- Lawi earns Sh. 8700 per week. If he received sh. 7450 after the tax. How much was the tax?
- Sh. 1150
- Sh. 1250
- Sh. 1350
- Sh. 1050

- Thomas has x goats. He gave each of his sons y goats. How many goats did each son get?
- (x + y)
- (x − y)
^{x}/_{y}^{y}/_{x}

- What is the G.C.D of 8, 12 and 16?
- 4
- 30
- 36
- 48

- Which number is divisible by 2, 5 and 10 ?
- 4055
- 5201
- 2500
- 4022

- Achupa has 49 pigs in her farm. What is the number in Roman numbers?
- VIX
- XXXXIX
- LIX
- XLIX

- Which lines are parallel?
- What is the time in the clock face below?
- Twelve o'clock
- Half past six
- Half past twelve
- Thirty minutes

- Divide: 84014 ÷ 7 =
- 12002
- 1202
- 1212
- 12022

- Convert
^{3}/_{4}into a decimal.- 3.4
- 7.5
- 0.75
- 1.25

- Arrange the following fractions below in ascending order.
^{1}/_{2},^{2}/_{3},^{3}/_{4},^{4}/_{5,}^{1}/_{2},^{2}/_{3, }^{3}/_{4,}^{4}/_{5}^{4}/_{5,}^{3}/_{4,}^{2}/_{3,}^{1}/_{2}-
^{2}/_{3,}^{1}/_{2,}^{3}/_{4,}^{4}/_{5} -
^{3}/_{4,}^{2}/_{3,}^{4}/_{5, }^{1}/_{2}

- B
- A
- A
- D
- D
- A
- B
- C
- B
- B
- A
- D
- D
- C
- A
- A
- C
- B
- A
- D
- B
- C
- A
- C
- D
- A
- C
- A
- C
- A

- The number of pupils at Karapul Primary school is three thousand four hundred and nineteen. What is this number in symbols?
- 30419
- 3419
- 34019
- 3491

- A farmer has 1256 goats and 729 sheep in his farm. How many animals does he have altogether?
- 1885
- 1985
- 1986
- 1886

- What is the next number in the sequence below?

6, 12, 18, 24, _____________-- 28
- 32
- 30
- 36

- Subtract 2343 from 7564?
- 5021
- 5221
- 5120
- 4221

- Round off 398 to the nearest tens.
- 400
- 390
- 300
- 3980

- What fraction is unshaded?
^{ 1}/_{3}^{1}/_{4}^{3}/_{4}^{2}/_{3}

- Work out:-

46

x 24

____- 1104
- 1004
- 964
- 1204

- Write ix in Hindu/Arabic numerals.
- 11
- 7
- 9
- 8

- What is the place value of digit 7 in the number 8795?
- tens
- hundreds
- thousands
- 700

- Write
^{7}/_{5}as a mixed number.- 1
^{2}/_{5} - 2
^{1}/_{5} - 1
^{5}/7 - 1
^{2}/_{7}

- 1
- Use a ruler to measure the line AB below.
- 10cm
- 11cm
- 8cm
- 9cm

- The diagram below shows Peter's maize farm.

What is its perimeter?- 38m
- 40m
- 48m
- 28m

- A rope measures 8m long. What is the length of the rope in centimetres?
- 8000cm
- 800cm
- 80cm
- 8cm

- How many small boxes are used to make the stack below?
- 10
- 36
- 18
- 24

- Lydia bought 16 tins of blue band. If each tin was
^{1}/_{2}kg. How many kilograms of blue band did she buy?- 4kg
- 8kg
- 16kg
- 32kg

- Identify the angle below.
- Right angle
- Reflex abgle
- Acute angle
- Obtuse angle

- Work out:
**weeks days**

8 1

− 2 6

_______________- 6weeks 5days
- 5weeks 2days
- 5 weeks 5days
- 6weeks 2days

- Atieno slept for 4 hours 20 minutes. How many minutes did she sleep?
- 420 minutes
- 260 minutes
- 240 minutes
- 200 minutes

- Which one is a need?
- Moses bought a packet of maize flour for sh. 230. He paid with sh. 500 note. How much balance did he get?
- sh. 230
- sh. 370
- sh. 270
- sh. 170

- Kolo had 9698 bags of maize in his stores. He sold 3324 bags of maize. How many bags remained in the store?
- 6384
- 5374
- 6374
- 5384

- Add all the multiples of 4 between 30 and 39.
- 66
- 67
- 68
- 65

- Which shape below is an oval?
- Which one is NOT a factor of 30?
- 3
- 5
- 6
- 7

- Find the missing number.

14 × = 84- 5
- 7
- 6
- 70

- Write
^{74}/_{100}as a decimal.- 0.74
- 74.00
- 7.4
- 0.074

- What is the perimeter of the shape below?
- 126cm
- 84cm
- 42cm
- 168cm

- How many points of intersections are there in the figure below?
- 3
- 4
- 5
- 2

- Work out: 5b + 3c + b = _____________________

A. 4b + 3c

B. 4b - 3c

C. 3b + 3c

D. 6b + 3c - The chart below shows vehicles which passed near Masumbi Primary School.

**Vehicles****Tally marks****Number**Cars //// /// Vans //// / Lorries //// Buses // Motorbikes //// //// //// // - 32
- 28
- 42
- 38

- B
- B
- C
- B
- A
- C
- A
- C
- B
- A
- D
- A
- B
- D
- B
- A
- B
- B
- C
- C
- C
- C
- A
- A
- C
- A
- D
- B
- D
- D

]]>

- Write in words 5503813.
- Five million five hundred and thirty thousand eight hundred and thirteen
- Fifty million, five hundred and three thousand eight hundred and thirteen
- Five million five hundred and thirty thousand eight hundred and thirty
- Five million five hundred and three thousand eight hundred and thirteen

- What the total value of digit 3 in 8397028?
- Hundreds of thousands
- 397028
- 300000
- Thousands

- Grade 6 Learners in Msingi Bora Primary School planted tree seedling in different month as shown below.

**Month****Number of tree seedlings**March

April

May

June

July4903

3093

2283

5338

5298- June, July, May, April, March
- June, July, March, April, May
- May, April, March, July, June
- July, June, May, March, April

- A farmer sold 56894 chickens to his friend. How many chickens did the farmer sell to the nearest thousand?
- 57000
- 60000
- 56800
- 56000

- What is the GCD of 49.21 and 28?
- 588
- 21
- 7
- 3

- What is the sum of edges and vertices of the figure below?
- 8
- 20
- 14
- 18

- Wanja's container has 18 litres of water. She adds 10 litres of water in every one hour. She fetches water for 8 hours. What is the total amount of water in the container after the eighth hour?
- 98
- 18
- 28
- 108

- Work out: 45 + √576
- 24
- 70
- 25
- 69

- A company supplied 5432 iron sheet on Monday and 4023 iron sheets on Tuesday to construct dispensaries in a sub-county. How many iron sheets did they supply in the two days?
- 9419
- 8455
- 9455
- 1409

- Kaluli arrived at home very late in the evening as shown on the clock below. At what time did Kaluli reach home in 12-hour clock system?
- 11.25 am
- 2325 hours
- 12.25 pm
- 11.25 pm

- Work out the sum of

524163 + 312805 + 120021.- 979696
- 956989
- 716947
- 91337

- Quinter earns a salary of sh 3635 daily. How much will she earn in 88 days?
- 372300
- 354700
- 417268
- 319880

- Calculate 24 x 66 −12 × 47 +124
- 74008
- 1144
- 896
- 468

- Arrange
^{5}/_{8},^{3}/_{7},^{4}/_{6},^{1}/_{2}from the smallest to the largest.^{5}/_{8,}^{4}/_{6},^{1}/_{2},^{3}/_{7}^{4}/_{6,}^{5}/_{8,}^{3}/_{7,}^{1}/_{2},^{1}/_{2,}^{3}/_{7,}^{5}/_{8,}^{4}/_{6}^{3}/_{7,}^{1}/_{2,}^{5}/_{8,}^{4}/_{6}

- The government imported three hundred and fifty eight thousand bags of maize to fight hunger. During inspection, the agent found out that one hundred and seventy eight bags of maize were not good for consumption. Calculate the number of bag of maize that was good.
- 358178
- 536000
- 357822
- 357922

- A carton of chalks weighs 25kg 500g. How much will 6 such cartons weigh?
- 153kg
- 150kg 300g
- 153kg 300g
- 4kg 250g

- Ronny had 75% of the 60 marks in each of his 5 subjects. How many marks does he have in total?
- 375
- 225
- 300
- 200

- Work out:

Weeks days

7 5

× 6

______________- 42 weeks 30 days
- 45 weeks 3 days
- 46 weeks 2 days
- 13 weeks II days

- Measure the angle marked y.
- 133°
- 47°
- 55°
- 78°

- Work out:

93612 × 467 − 57892 + 32 x 865- 23672
- 66638
- 8792
- 6214

- In a fundraising ceremony adults took 53 litres 144 millilitres of juice. The children took 34 litres 286 millilitres of juice. How many litres and mililitres of juice was used altogether?
- 18 litres 858 millilitres
- 88 litres 430 millilitres
- 19 litres 142 millilitres
- 87 litres 430 millilitres

- Mwende bought the following items from a shop.
- Two -2 kg packet of maize flour @. sh 250
- 3 packets of milk @sh 60
- A loaf of bread for sh 65
- I litre of juice @ sh. 220

What balance did she get if she gave the shopkeeper sh 1000 note?- Sh 35
- Sh 965
- Sh 715
- Sh 285

- Work out the size of angle x.
- 90°
- 60°
- 30°
- 45°

- The unit of measurement of length or distance is
- Metres or centimetres
- Celsius or Kelvin
- Grams or kilograms
- Litres or millilitres

- A square has a perimeter of 24cm. What is the area of the square?
- 36cm
^{2} - 144cm
^{2} - 12cm
^{2} - 8cm
^{2}

- 36cm
- Two angles of a triangle are 30° and 45°. What is the size of the third angle?
- 45°
- 75°
- 285°
- 105°

- Construct a line AB of length 6cm. Bisect the line AB. Draw the bisector to cross line AB at O.What is the length of BO?
- 6.0 cm
- 9.0cm
- 5.0 cm
- 3.0 cm

- Which of the following statements is true about any triangle?
- A triangle has 4 sides.
- A triangle can form ↳ angles.
- A triangle has equal sides and angles
- Angles in a triangle add up to 180°.

- Calculate the circumference of the circle below.
- 17.60 cm
- 35.20 cm
- 98.56 cm
- 70.40 cm

- Grade 6 learners picked 32 marbles of different colours as shown in the table below.

**Colours****Tally marks**Green llll lll Yellow lll Blue Red llll llll llll - 32
- 25
- 14
- 7

- D
- C
- B
- A
- C
- B
- A
- D
- C
- D
- B
- D
- B
- C
- C
- A
- B
- C
- B
- D
- B
- A
- C
- A
- A
- D
- D
- D
- B
- D

]]>

- What is the total value of digit 4 in 840956?
- 400 000
- Four thousand
- 40 000
- Tens of thousands

- Work out

5789 − 4597- 10 386
- 1192
- 9314
- 8314

- Use digits 6, 2, 4, 8 and 9 to form the largest number. What is the largest number in words?
- Twenty four thousand, six hundred and eighty nine
- Forty eight thousand nine hundred and sixty two
- Ninety eight thousand two hundred and forty six
- Ninety eight thousand six hundred and forty two.

- Round off 68272 to the nearest thousand.
- 68000
- 70000
- 68200
- 69000

- What is the sum of the LCM and GCD of the 12, 28 and 49?
- 1176
- 2352
- 98
- 1177

- What the name of the following type of angle?
- Acute angle
- Right angle
- Obtuse angle
- Reflex angle

- A Grade 5 teacher had 78 exercise books to share equally among seven learners. How many books did the teacher need to add to ensure all the learners get equal share?
- 11 rem 1
- 12
- 6
- 1

- Convert 0.45 into a simplified fraction.
^{9}/_{20}^{20}/_{9}- 2
^{2}/_{9} ^{45}/_{100}

- Murage had sh 1000 note. He bought a half kilogram of sugar at sh 440 per kilogram, 3 packets of glucose at sh 30, four loaves of bread for sh 260 and one litre of cooking oil for sh 220. How much balance did he get from the shopkeeper?
- Sh 790
- Sh 210
- Sh 10
- Sh 270

- Work out:

KM M

72 134

−36 234

__________- 36km 100 m
- 35 km 900 m
- 34 k 900
- 35 km 100 m

- A learner planted 13 rows of trees. Each row had 29 trees. How many trees did the learner plant altogether?
- 42
- 377
- 3
- 380

- What is the place value of digit 2 in 235681?
- Thousands
- Tens of thousands
- Millions
- Hundreds of thousands

- Calculate:

M CM

57 48

+58 32

- 1m 16 cm
- 114m 70cm
- 115m 80cm
- 115m 82cm

- Work out: 4 × 62 ÷ 2 + 8 − 32
- 100
- 132
- 54
- 124

- Ruth bought 657 bags of sand and 898 bags of cement. How many bags did she buy altogether?
- 32
- 1555
- 241
- 1560

- Arrange 4536, 6564, 5694, 5476 in descending order.
- 4536, 5476, 5694, 6564
- 6564, 5694, 5476, 4536
- 4536, 6564, 5476, 5694,
- 6564, 5694, 5476, 4536

- Bindu had 4 trays of 30 eggs each. He added 3 more trays. Fifty eggs broke. How many eggs does he have altogether?
- 260
- 160
- 210
- 73

- Work out the following.

235

× 46

- 8460
- 10810
- 281
- 10800

- Which of the following numbers is divisible by both 2 and 5?
- 205
- 190
- 198
- 831

- A farmer planted 25698 avocado seeds in one plot of land. In another plot, he planted 2245 seeds. After three months, the farmer sold 25980 seedlings. How many seedlings remained?
- 49433
- 53923
- 2527
- 1963

- Which of these fractions is the biggest?
^{4}/_{9}^{3}/_{7}^{3}/_{8}^{5}/_{11}

- What is the next number in the sequence below?

4, 12, 36, 108, __________________- 216
- 144
- 324
- 972

- Measure the side of the following figure and calculate its area.

- 16 square centimetres
- 15 square centimetres
- 16 centimetres
- 20 square centimetres

- What is the total value of digit 9 in 45.779?
- Thousandths
- Nine hundredths
- 0.009
- 0.09

- A factory processed 4575 litres of juiced in week I and 3646 litres of juice in week 2. How many litres of juice were processed in the two weeks
- 7221
- 8221
- 929
- 8211

- Which is the perimeter of the trianlge below?
- 84cm
- 56cm
- 175cm
- 87cm

- How many stacks were used in the pile below?
- 36
- 35
- 27
- 34

- Grade 5 learners picked marbles of different colours as shown in the table below.

**Colours****Tally marks****Number of marbles**Red //// // Blue 4 Green //// //// /// Yellow /// - 25
- 27
- 20
- 30

- What is the time?
- 10 minutes to 11
- 10 minutes past 10
- 50 minutes past 10
- 50 minutes to noon

- James was facing the East. He made a three quarter turn in anti-clockwise direction. Which direction did James face after the turns?
- South
- North
- West
- East

- C
- B
- D
- A
- D
- C
- C
- A
- B
- B
- B
- D
- C
- A
- B
- D
- B
- B
- B
- D
- D
- C
- B
- C
- B
- B
- A
- B
- B
- A