Mathematics Questions and Answers - KCPE 2022 Prediction Papers Set 2

Questions

1. Which of the following is six million ninety thousand four hundred and twenty eight?
   1. 6 900 428
   2. 6 900 248
   3. 6 009 428
   4. 6 090 428
2. What is the value of (360 - (828 +23))/18 ?
   1. 36
   2. 18
   3. 27
   4. 24
3. What is the value of 3/5 + 13/4 ÷ 7/12 - 1/5
   1. 3 29/35
   2. 33/5
   3. 32/5
   4. 327/35
4. What is the value (1.2 x 0.4+0.8-0.24)/0.04
   1. 14 
   2. 5.6
   3. 26
   4. 0.56
5. What is the value of 91013 ÷ 13?
   1. 71
   2. 701
   3. 7001
   4. 70001
6. What is the difference in the value of the square root of 31/16 and the square 3/4?
   1. 13/4
   2. 9/16
   3. 13/16
   4. 25/16
7. What is the measure of the reflex angle ABC drawn below?
   
   
   1. 81°
   2. 99°
   3. 279°
   4. 101°
8. 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?
   1. Ksh. 1 560
   2. Ksh. 1 460
   3. Ksh. 1 390 
   4. Ksh. 1 080
9. What is the simplest form of the expression in
   5w + ¼ (8w – 2 z)
   1. 7w + ½ z
   2. 7w -2z
   3. 7w – ½ z
   4. 28w –2z
10. 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?
    1. 2/3,7/11,4/9,3/8 
    2. 3/8,4/9,7/11,2/3
    3. 2/3,3/8,4/9,7/11
    4. 7/11,4/9,3/8,2/3
11. 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?
    1. 1650m
    2. 1480m
    3. 280m
    4. 275m
12. The price of an item was reduced by Ksh. 429. If this was 30% discount, what was the price after the discount?
    1. Ksh.1400
    2. Ksh. 140
    3. Ksh. 980
    4. Ksh. 1 170
13. What is the next number in the sequence:
    7, 11, 19, 31, 47, ___?
    1. 65
    2. 63
    3. 66
    4. 67
14. What is the value of (x (y+z)²)/(y+z)
    if x=3, y=4 and z=8
    1. 144
    2. 36
    3. 12
    4. 48
15. The figure below shows an incomplete parallelogram ABCD. Complete the parallelogram.
    
    What is the length of the diagonal AC?
    1. 55cm
    2. 8.2cm
    3. 6cm
    4. 4cm
16. 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?
    1. Ksh. 19 200
    2. Ksh. 30 000
    3. Ksh. 19 800
    4. .Ksh. 24 800
17. 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?
    1. 9.45am
    2. 10.45am
    3. 11.30 am
    4. 10.30 am
18. The volume of a water tank is 3.24m ³. What is its capacity in litres?
    1. 32.4lts
    2. 324lts
    3. 3 240lts
    4. 32 400lts
19. 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?
    1. Sh. 8 000 
    2. Sh. 32 000
    3. Sh. 14 000
    4. Sh. 26 000
20. 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?
    1. 4hrs 45min
    2. 4hrs 55min
    3. 5hrs 15min
    4. 5hrs 25min
21. 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.
    1. 25 + 2x
    2. 2x + 10
    3. 5x + 20
    4. 5y + 10
22. 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?
    1. 3.8cm
    2. 5.2cm
    3. 4.3cm
    4. 4.7cm
23. 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?
    1. 12
    2. 13 
    3. 10
    4. 11
24. What is the (3 (2y + 4) )/4 -6 = 8?
    1. 32/3
    2. 82/3
    3. 71/3
    4. 62/3
25. 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?
    1. 96
    2. 256
    3. 100
    4. 416
26. The circumference of the base of an open cylinder is 132cm. What is the surface area in cm2 if the height is 20cm?
    1. 1 386cm²
    2. 27 720cm²
    3. 5412cm²
    4. 4 026cm²
27. Solve the inequality below.
    12y + 9 < 36 - 4y
    1. 213/16
    2. 33/8
    3. 111/16 
    4. 55/8
28. 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?
    1. Ksh. 16 800
    2. Ksh. 33 600
    3. Ksh. 14 000
    4. Ksh. 19 600
29. 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?
    1. Ksh. 58 000
    2. Ksh. 48 000
    3. Ksh. 36 000 
    4. Ksh. 24 000
30. 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?
    1. 11 000
    2. 12 375
    3. 13 750
    4. 8 910
31. What is the value of 3b (a +b) + bc
    If a = b =3 and c = 2
    1. 45
    2. 87
    3. 60
    4. 36
32. Which of the following sets of measurement will form a right angled triangle?
    1. 3cm, 4cm, 6cm.
    2. 10cm, 24cm, 26cm
    3. 5cm, 13cm, 15cm
    4. 6cm, 8cm, 12cm
33. An aeroplane flew for landing at its destination on Tuesday 0425hrs. At what day and time had the plane started the journey?
    1. Monday 10:55pm
    2. Tuesday 10:55pm
    3. Tuesday 4:55pm
    4. Monday 4:55pm
34. A section of a road 24km is represented on a map by 5cm. What is the scale used?
    1. 1:480 
    2. 1:4800
    3. 1:48 000
    4. 1:480 000
35. The width of a rectangle is 35m and the length of the diagonal is 125m. What is the measurement of the length?
    1. 100m
    2. 150m
    3. 120m
    4. 175m
36. In the figure below line ABC is parallel to DEFG.
    
    What is the size of angle BEF?
    1. 45°
    2. 135°
    3. 90° 
    4. 55°
37. 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?
    1. 32 905
    2. 19 002
    3. 18 912
    4. 14 536
38. 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?
    1. Sh. 2 209
    2. Sh. 1 768
    3. Sh. 3 342 
    4. Sh. 1 628
39. 12 men can complete a certain job in 8 days. How many more days will it take 6 men working at the same rate?
    1. 16 
    2. 8
    3. 24
    4. 18
40. 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?
    1. 15 840cm ³
    2. 6 160cm ³
    3. 9680cm ³
    4. 25 520cm ³
41. 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?
    1. 24 000m ²
    2. 48 000m ²
    3. 51 000m ²
    4. 25 500m ²
42. 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?
    1. 24
    2. 96
    3. 36
    4. 48
43. The figure below show a stack of cubes.
    
    If the stack was dipped in paint, how many cubes got the paint on three faces?
    1. 80 
    2. 8
    3. 32
    4. 40
44. Find the value of the angle mark K in the figure below
    
    
    1. 70⁰ 
    2. 140⁰ 
    3. 25⁰ 
    4. 45⁰
45. 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?
    1. Ksh. 8 000
    2. Ksh. 203 000
    3. Ksh. 16 000
    4. Ksh. 216 000
46. 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?
    1. Ksh. 2880
    2. Ksh. 1 512
    3. Ksh. 6 192
    4. Ksh. 1 008
47. 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?
    1. 55%
    2. 65%
    3. 35%
    4. 45%
48. 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?
    1. 3:10pm
    2. 2:30pm
    3. 2:40pm
    4. 2:00pm
49. What is the square root of 0.0169?
    1. 0.0013
    2. 0.013
    3. 0.13
    4. 1.3
50. 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?
    1. 60km/h
    2. 52km/h
    3. 72km/h
    4. 80km/h

Marking Scheme

1. D
2. B
3. C
4. C
5. C
6. C
7. C
8. A
9. C
10. B
11. A
12. C
13. D
14. B
15. A
16. C
17. A
18. C
19. D
20. A
21. A
22. C
23. B
24. C
25. A
26. D
27. C
28. B
29. A
30. C
31. C
32. B
33. A
34. D
35. C
36. C
37. D
38. B
39. B
40. C
41. A
42. B
43. B
44. A
45. C
46. D
47. D
48. A
49. C
50. B