Mathematics Questions and Answers - KCPE 2022 Prediction Papers Set 2
Questions
Which of the following is six million ninety thousand four hundred and twenty eight?
6 900 428
6 900 248
6 009 428
6 090 428
What is the value of (360 - (828 +23))/18 ?
36
18
27
24
What is the value of 3/5 + 13/4 ÷ 7/12 - 1/5
3 29/35
33/5
32/5
327/35
What is the value (1.2 x 0.4+0.8-0.24)/0.04
14
5.6
26
0.56
What is the value of 91013 ÷ 13?
71
701
7001
70001
What is the difference in the value of the square root of 31/16 and the square 3/4?
13/4
9/16
13/16
25/16
What is the measure of the reflex angle ABC drawn below?
81°
99°
279°
101°
The table below shows the price list of food at Kula Ushibe Hotel.
Item
Tea
Coffee
Ugali
Sukuma
Beef
Rice
Fish
Price
30
50
70
35
150
80
180
Seven people went to the hotel and wanted to take lunch. Two of them took ugali ,sukuma and a cup of tea. Three of them took rice with beef only. The rest took ugali, fish and a cup of coffee. How much in total did they pay?
Ksh. 1 560
Ksh. 1 460
Ksh. 1 390
Ksh. 1 080
What is the simplest form of the expression in 5w + ¼ (8w – 2 z)
7w + ½ z
7w -2z
7w – ½ z
28w –2z
The fractions2/3, 3/8,4/9 and 7/11 are to be arranged in order from the smallest to the largest. Which is the correct order?
2/3,7/11,4/9,3/8
3/8,4/9,7/11,2/3
2/3,3/8,4/9,7/11
7/11,4/9,3/8,2/3
Wagio fenced a rectangular plot of land measuring 80m by 60m using six strands of wire. She left space for the gate, to be 5metres. What is the length of the wire used?
1650m
1480m
280m
275m
The price of an item was reduced by Ksh. 429. If this was 30% discount, what was the price after the discount?
Ksh.1400
Ksh. 140
Ksh. 980
Ksh. 1 170
What is the next number in the sequence: 7, 11, 19, 31, 47, ___?
65
63
66
67
What is the value of (x (y+z)²)/(y+z) if x=3, y=4 and z=8
144
36
12
48
The figure below shows an incomplete parallelogram ABCD. Complete the parallelogram. What is the length of the diagonal AC?
55cm
8.2cm
6cm
4cm
The marked price of a T.V set is sh. 24 000. A 20/%discount is allowed on cash payment. Online purchase only a monthly instalment of Ksh. 2500 per month for one year. How much more does it cost on hire purchase than cash price?
Ksh. 19 200
Ksh. 30 000
Ksh. 19 800
.Ksh. 24 800
Three bells rings at an interval of 10min, 15 min and 18 min. If they were last rung together at 2.15am, at what time will they ring together again?
9.45am
10.45am
11.30 am
10.30 am
The volume of a water tank is 3.24m ³. What is its capacity in litres?
32.4lts
324lts
3 240lts
32 400lts
A sales girl earns a basic salary of sh. 18000 per month. She is also paid 4% commission on the value of sales above 150 000. In one month, she sold goods worth Ksh. 350 000 How much did she earn that month?
Sh. 8 000
Sh. 32 000
Sh. 14 000
Sh. 26 000
The table below shows the arrival and departure times for buses from a certain company in route A to E.
Town
Arrival time
Departure
A
6:30 am
B
7:30 am
8:00 am
C
10:30 am
10:45am
D
12:45pm
12:55pm
E
3:15pm
How long does it take to travel from town B to D?
4hrs 45min
4hrs 55min
5hrs 15min
5hrs 25min
Joan is five years older than her brother James. James is x years old now. Write an expression to show the sum of their ages in 10 years’ time.
25 + 2x
2x + 10
5x + 20
5y + 10
In the triangle ABC below. Construct a perpendicular bisector of Sine AC and line BC to meet at point X. Join X to B. What is the length of the line BX?
3.8cm
5.2cm
4.3cm
4.7cm
The mean of five numbers is 11. Four of the numbers are 12, 13, 8, and 9. What is the mode of the five numbers?
12
13
10
11
What is the (3 (2y + 4) )/4 -6 = 8?
32/3
82/3
71/3
62/3
The pie chart below shows the number of animals at Mwanamwali farm. If the number of cows is 384, how many more goats than camels are there?
96
256
100
416
The circumference of the base of an open cylinder is 132cm. What is the surface area in cm2 if the height is 20cm?
1 386cm²
27 720cm²
5412cm²
4 026cm²
Solve the inequality below. 12y + 9 < 36 - 4y
213/16
33/8
111/16
55/8
Karani and Kawira shared some money in the ratio 5:7. If Kawira go sh. 2800 more than Karani. How much money did they share in total?
Ksh. 16 800
Ksh. 33 600
Ksh. 14 000
Ksh. 19 600
Eric spent 1/8 of his salary on rent, 2/5 on school fees and 3/8 to buy food. She saved the rest which was sh. 5 800. How much was his salary?
Ksh. 58 000
Ksh. 48 000
Ksh. 36 000
Ksh. 24 000
Wangila sold a bike at Sh. 9 900 making a 10% loss. At what price would he have sold it to make a 25% profit?
11 000
12 375
13 750
8 910
What is the value of 3b (a +b) + bc If a = b =3 and c = 2
45
87
60
36
Which of the following sets of measurement will form a right angled triangle?
3cm, 4cm, 6cm.
10cm, 24cm, 26cm
5cm, 13cm, 15cm
6cm, 8cm, 12cm
An aeroplane flew for landing at its destination on Tuesday 0425hrs. At what day and time had the plane started the journey?
Monday 10:55pm
Tuesday 10:55pm
Tuesday 4:55pm
Monday 4:55pm
A section of a road 24km is represented on a map by 5cm. What is the scale used?
1:480
1:4800
1:48 000
1:480 000
The width of a rectangle is 35m and the length of the diagonal is 125m. What is the measurement of the length?
100m
150m
120m
175m
In the figure below line ABC is parallel to DEFG. What is the size of angle BEF?
45°
135°
90°
55°
In a certain location, the population is 51 907. The number of children is 453 more than that of women. The number of women is 18 459 and the rest was men. What is the number of men?
32 905
19 002
18 912
14 536
The table below shows the charges of sending small parcel up to 2kg.
Mass of the packet
Within East Africa
The Rest of Africa
Rest of the world
Not over 2g
29
34
48
Not over 100g
78
150
134
Not over 250g
167
194
255
Not over 500g
299
355
462
Not over 1kg
509
598
658
Not over 2kg
708
830
1089
Donald sent the following parcels. 1.5kg to Uganda 800g to Nigeria 450g to China (rest of the world) How much money did he pay altogether?
Sh. 2 209
Sh. 1 768
Sh. 3 342
Sh. 1 628
12 men can complete a certain job in 8 days. How many more days will it take 6 men working at the same rate?
16
8
24
18
The diagram below show a rectangular block of wood in which a cylindrical hole has been drilled through. What is the volume of the wood that remained after the hole was made?
15 840cm ³
6 160cm ³
9680cm ³
25 520cm ³
Njoroge’s land is in a shape of a rhombus of sides 170m. The longer diagonal is 300m. What is the area of the piece of land?
24 000m ²
48 000m ²
51 000m ²
25 500m ²
A cylindrical tin has a radius of 7cm and height 8cm. How many such tins will be packed in a carton measuring 84cm by 56cm by 32cm?
24
96
36
48
The figure below show a stack of cubes. If the stack was dipped in paint, how many cubes got the paint on three faces?
80
8
32
40
Find the value of the angle mark K in the figure below
700
1400
250
450
Ochieng’ deposited Sh. 200 000 in a bank that paid simple interest at the rate of 4% per annum. How much interest did the money earn in two years?
Ksh. 8 000
Ksh. 203 000
Ksh. 16 000
Ksh. 216 000
Four boys shared a total of sh. 7200 as follows: James got 0.4 Jayden got 0.25 Jamlick got 0.6 of the remainder while Justin got the rest How much did Justin get?
Ksh. 2880
Ksh. 1 512
Ksh. 6 192
Ksh. 1 008
Due to wearing of mask the number of breathing related cases at Mama Lucy hospital has dropped from 1700 in January 2020 to 935 in January 2021. What was the percentage decrease?
55%
65%
35%
45%
A teacher’s workshop started at 8:30am. The first session took 13/4 followed by a 30min break. The second session took 21/4 hours and a 11/2 hour lunch break. The third session took 40min. At what time did the seminar end?
3:10pm
2:30pm
2:40pm
2:00pm
What is the square root of 0.0169?
0.0013
0.013
0.13
1.3
The graph below shows the journey by Wachira from town A to town B, a distance of 260km What was the average speed for the whole journey?
60km/h
52km/h
72km/h
80km/h
Marking Scheme
D
B
C
C
C
C
C
A
C
B
A
C
D
B
A
C
A
C
D
A
A
C
B
C
A
D
C
B
A
C
C
B
A
D
C
C
D
B
B
C
A
B
B
A
C
D
D
A
C
B
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Last modified on Monday, 14 August 2023 07:35