**QUESTIONS **

- Which of the following figures represents the number three hundred thousand and twenty eight?
- 300028
- 30000028
- 30028
- 3000028

- Write 0.250 as a percentage
- 25%
- 2.5%
- 250%
- 0.25%

- A container with the shape of a cube holds 8000ml of water when full. What is the length of one side of the container?
- 20ml
- 25cm
- 20cm
- 0.02m

- Aman bought a bull and later sold it at a loss of 20%. If he sold it for sh. 6400, how much was the loss?
- Sh.1200
- Sh.400
- Sh.1600
- Sh.800

- If ABCD is a rectangle, find the area of the shaded part
- 12cm
^{2} - 24cm
^{2} - (x + 4)cm
^{2} - 8cm
^{2}

- 12cm
- If the square root of x
^{2}= y, which of the following statements is correct- x
^{2}= √y - x
^{2}= y - x
^{2}= y^{2} - y = √x

- x
- At an average speed of 60km/hr a lorry takes 3 hours to cover a certain distance. How long will a car take to cover the same distance at an average speed of 90km/ hr?
- 1½hrs
- 2½hrs
- 1hr
- 2hrs

- Kirubi spent half of his pocket money on bus fare and three fifth of the remainder on lunch. If he was left with Sh.20, how much was his pocket money?
- Sh.100
- Sh.50
- Sh.30
- Sh.70

- What amount of money will earn a simple interest of Sh.75 in two years at the rate of 12%,% per year
- Sh.550
- Sh.650
- Sh.300
- Sh.400

- A car travelled 300km at a consumption rate of 8 litres of petrol for every 100km. If petrol costs Sh.7.85 per litre what was the cost of the petrol consumed?
- Sh.628
- Sh.62.80
- Sh.188.40
- Sh.230.00

- ¾kg of sweets were shared among 3 girls, Wangeci, Wanjiru and Njambi in the ratio 3:2:1 respectively. Njambi gave one fifth of her share to her brother Macharia. How many grams of sweets did Macharia get?
- 75g
- 25g
- 50g
- 250g

- The figure is made up of eight equal squares each of side x cm. What percentage of the whole figure has

been shaded?

- 37.5%
- 30%
- 48.6%
- 31.25%

- A canning factory produced 27,984 tins of tomatoes in one month. The tins were packed into crates. If each crate holds 165 tins, how many full crates were packed?
- 163
- 169
- 168
- 170

- The figure represents a rectangular block of wood. Find the total length of all the edges
- 24cm
- 48cm
- 72cm
- 36cm

- A rectangular piece of paper has an area of 0.39m
^{2}. Express this area in square centimetres- 3900cm
^{2} - 39cm
^{2} - 390cm
^{2} - 130cm
^{2}

- 3900cm
- A tank can be filled by two taps together in 6 minutes and by one of the taps alone in 10 minutes. How long will the other tap take to fill the tank alone?
- 15 minutes
- 8 minutes
- 12 minutes
- 16 minutes

- Mama Ciru had 150 oranges to sell. She sold 40% of them in the morning and
^{4}/_{5}of the remainder in the afternoon. How many oranges remained unsold?- 18
- 60
- 90
- 15

- The circumference of the circle given is 66cm. If O is the centre of the circle calculate the length of one side of the equilateral triangle MNO

- 21cm
- 22cm
- 10.5cm
- 12.5cm

- Solve the equation for x if ½(3x − 2) = x+1
- 1½
- 1
^{1}/_{3} - 5
- 4

- In a class of 60 candidates ¾ of the candidates passed an examination. How many boys passed the examination if the class has twice as many boys as girls and all the girls passed the examination?
- 20
- 35
- 25
- 20

- Find the value of:
^{1}/_{3}x^{3}/_{5}÷ ¼ − ½^{3}/_{5}^{5}/_{8}^{3}/_{10}^{9}/_{11}

- The figure represents the net of an open box. Calculate the total surface area of the box

- 80cm
^{2} - 170cm
^{2} - 150cm
^{2} - 120cm
^{2}

- 80cm
- The circle graph represents monthly earning of Maina, Mwangi and Kamau. If Mwangi earns Ksh. 600, how much does Maina earn
- Sh. 800
- Sh.900
- Sh.1200
- Sh.1000

- The average of seven numbers is 3.6. The average of the first four numbers is 4.05. What is the average of the remaining three numbers?
- 9
- 16.2
- 12
- 3

- Construct triangle XYZ in which XY-XZ=6cm and angle YXZ=60°. Draw a circle that passes through the three vertices X, Y and Z. What is the diameter of the circle?
- 7cm
- 3.5cm
- 14cm
- 12cm

- If x=6, Find the value of 2x − x (12 − 2x)

A. 0

B. 48

C. 24

D. 52 - The area of parallelogram ABCD is 32cm
^{2}. If AD = 5cm and CD = 8cm, calculate the area of the shaded part- 6cm
^{2} - 3cm
^{2} - 12cm
^{2} - 8cm
^{2}

- 6cm
- Wambua started working at 0600hrs. After working for 4¼ hours, he took a break of 30 minutes. After break he worked for 4 hours 30 minutes. At what time did he finish working?
- 5:15am
- 3:15am
- 3:15pm
- 0315hours

- A rectangular piece of land measures 8cm by 6cm on map. Find the actual area in hectares if the scale used is 1:1000
- 4.8ha
- 48ha
- 0.48ha
- 480ha

- In a school 6 buckets of beans last for 4 days. How many more days will 9 buckets last at the same rate of consumption?
- 6 days
- 2 days
- 10 days
- 3 days

- From the figure given calculate the size of angle Y
- 59°
- 102°
- 98°
- 105°

- A man is three times as old as his son. Six years to come the difference between their ages will be 28 years. What is the age of the son now
- 16 years
- 12 years
- 15 years
- 14 years

- Round off the numbers 6483 and 96835 to the nearest thousand and find their difference
- 103000
- 91000
- 2000
- 16000

- The marked price of a radio was Sh.900. Muturi bought it after being given a 10% discount. He later sold it at a 10% profit. For how much did he sell the radio?
- Sh.900
- Sh.891
- Sh.810
- Sh.990

- A watch loses 3 seconds every 2½ minutes. It was set right at 8:15am. What time did it show at 10:45am?
- 10:42am
- 10:43am
- 10:48a.m
- 10:44am

- Express 0.25 as a percentage of 0.75 and give your answer correct to one decimal place
- 25.5%
- 3.3%
- 30.3%
- 33.3%

- A circular region of diameter 28m has circumference equal to the perimeter of another square region. Find the area of the square region.
- 484m
^{2} - 1936m
^{2} - 492m
^{2} - 1236m
^{2}

- 484m
- What number would be increased in the ratio of 3:2 to give 12
- 16
- 10
- 8
- 6

- A container is
^{2}/_{3}, full of water. When 30 more litres of water are added it becomes^{5}/_{6}full. How many litres of 44. Between which two towns is the fare half the fare water does it hold when completely full?- 150
- 360
- 120
- 180

- Which one of the digits of the number 12459 would you increase by seven to make the given number divisible by eleven?
- 5
- 2
- 4
- 9

- In a certain town there are fifty families. Half of the families have 5 children each. A fifth of the remainder have 3 children each and the rest of the families have 4 children each. How many children are there altogether?
- 225
- 205
- 215
- 220

- Construct triangle ABC in which AB = 5cm, angle ABC = 86° and CAB = 55°. Draw a perpendicular from B to AC. What is the length of this perpendicular line?
- 4.5cm
- 4.1cm
- 4.4cm
- 5cm

- Wambui got the following marks in three tests

Maths - 18, English-0, Science-13. If she had also sat for Kiswahili and her average score for the four tests was 11 marks. How many marks did she get in Kiswahili?- 12
- 13
- 3
- 14

**The table below shows bus fare in shillings between Nairobi and Meru.**

- Between which two towns is the fare half the fare between Nairobi and Karatina?
- Karatina and Nyeri
- Sagana and Nyeri
- Nyeri and Nanyuki
- Meru and Nanyuki

- Find the sum of all prime numbers between 10 and 40
- 153
- 14
- 116
- 180

- Calculate half of the exterior angle marked x of the given parallelogram given

- 120°
- 60°
- 30°
- 40°

- A third of the area of the figure WXYZ is 20cm
^{2}. Calculate the value of b if YZ = bcm

- 10cm
- 12cm
- 14cm
- 11cm

Which one of the shapes given below can be used to fill the space in the above pattern

**The graph below represent the mass in tonnes ofcoffee export from a certain country from the year 1972 to the year 1976. Use the graph to answer questions 49-50 **

- By how many tonnes did the coffee export drop in 1973?
- 375
- 750
- 1875
- 1500

- In which year did the country experience the highest drop in coffee export?
- 1973
- 1976
- 1975
- 1974

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