Mathematics Questions and Answers - Class 8 Opener Exams Term 1 2023 Set 3

QUESTIONS

1. Write 70070007 in words
   1. Seventy million, seventy thousand and seven
   2. Seven hundred million seventy thousand and seven
   3. Seven million seven thousand and seven
   4. Seven million seventy thousand and seven
2. Round off 150956 to the nearest hundred
   1. 200 000
   2. 151000
   3. 150000
   4. 150900
3. Evaluate
   20 of ¼ − ¹/₈ x 4 ÷ ½
   
   1. 5
   2. 2¼
   3. 4¾
   4. 4
4. What is the sixth number in the series
   4, 9, 25, 49, _____
   
   1. 169
   2. 121
   3. 225
   4. 81
5. What is the value of
   8²(6² − 36)
         √16
   
   1. 0
   2. 8
   3. 16
   4. 4
6. How many times is the value of digit 3 more than the value of digit 6 in 34769803
   1. 2000
   2. 500
   3. 5000
   4. 20,000
7. What is the sum of the largest and smallest numbers formed by the digits
   9, 3, 8, 5 and 1
   1. 112120
   2. 84942
   3. 102020
   4. 102110
8. What is 23.1408 correct to three decimal places
   1. 23.1
   2. 23.140
   3. 23.141
   4. 23.0
9. Which of the following statements is not true about a rhombus
   1. opposites angles are equal
   2. has two pairs of parallel lines
   3. diagonals are equal
   4. all sides are equal
10. The figure below represents triangle ABC in which line BC=15cm and line AC is 17cm and angle ABC is a right angle
    
    What is the area of the triangle
    1. 120cm²
    2. 127.5
    3. 68cm²
    4. 60cm²
11. Jane deposited sh.2000 in a bank that paid a simple interest of the rate of 12% p.a. How much money was in her account at the end of 2 years
    1. Sh. 2240
    2. Sh. 480
    3. Sh 2480
    4. Sh.2508.50
12. John is.a farmer. He sold milk from January 17^th to April 17^th 2011. How many days did he sell the milk.
    1. 92
    2. 90
    3. 93
    4. 91
13. How many poles placed 10m apart can be used to fence a rectangular plot measuring 1200m by 800m
    1. 201
    2. 200
    3. 400
    4. 402
14. In the figure below WXY, line WX=WF. Angle WXY=4x and angle XWY is 20°
    
    What is half the value of angle WYZ
    1. 80°
    2. 50°
    3. 100°
    4. 20°
15. A printing firm produces 1160470 advertising posters in a month. How many posters will be produced in a year
    1. 35974570
    2. 34814100
    3. 11604700
    4. 13925640
16. Njagi is paid a salary of sh 3800 plus 5% commission for the total sales in one month, he sold goods worth sh 32000. How much did he earn that month?
    1. Sh 5590
    2. Sh 5400
    3. Sh 1600
    4. Sh 35800
17. Find the size of angle Q
    
    1. 105°
    2. 95°
    3. 40°
    4. 88°
18. Find the radius of a circle whose area is 2464cm². take pie to be 3¹/₇
    1. 14cm
    2. 28cm
    3. 7cm
    4. 56cm
19. An empty vehicle weighs 1.2 tonnes. When loaded with 30 bags of maize, it weighs 4.2 tonnes. Calculate the mass of each bag
    1. 100kg
    2. 180kg
    3. 540kg
    4. 280kg
20. Simplify the following expression ½x − 12 > 4
    1. x < 16
    2. x <36
    3. x > 32
    4. x > 16
21. Okongo walked from his home to the hospital for 2hrs 30 min at 4km/h. He stayed at the hospital for 30 min. He then returned home at 5km/h for how long was he away from home?
    1. 2 hours
    2. 4hours 30 minutes
    3. 5 hours 30 minutes
    4. 5 hours
22. Work out the perimeter of the figure below
    
    1. 15cm
    2. 30cm.
    3. 56cm
    4. 56cm²
23. What is the capacity of a container whose volume is 1000,000cm³
    1. 100litres
    2. 10litres
    3. 1000cm
    4. 1000litres
24. Convert 4:5 as a decimal
    1. 0.9
    2. 0.4
    3. 0.8
    4. 1.25
25. In January last year the number of candidate who registered for KCPE in Gucha zone was 4500. This year the number of candidate registered increased 15%. How many candidates were registered this year
    1. 4900
    2. 675
    3. 975
    4. 5175
26. The marked price of a TV flat screen is Sh.38200. Otieno paid Sh.37436 after begaining what was his percentage discount
    1. .2.5%
    2. 764
    3. 20%
    4. 2%
27. The table below shows the fares in shillings charged between Eldoret to Nakuru by train
    
    Omollo travelled from Eldoret to Molo through Kipkerion. How much did he pay
    1. Sh. 50
    2. Sh. 250
    3. Sh. 150
    4. Sh. 300-
28. Evaluate the following (²/₃ ÷ ¾ of ⁵/₆) × (¼ of ¹/₃ ÷ ½)
    1. ²/₉
    2. ⁸/₄₅
    3. 6²/₅
    4. ¹⁰/₈₁
29. A class has 16 girls and 27 boys. During a mathematics lesson, of the girls and, of the boys were sent home because of school fees. How many pupils were sent home for fees.
    1. 36
    2. 7
    3. 43
    4. 50
30. Kamau bought the following items from a sho
    1. 6 oranges @sh 20 per an orange 
    2. 3 litres of water @ sh 16 per '/, litres (i
    3. 4 kg of meat @sh 120 per kg (
    4. 2kg of onions@sh 45 per kg
    5. 2kg tins of cooking fat @sh 97 per kg
       and 4 bottles of soda sh 27 per bottle
       How much balance was he given if he gave two one thousand shillings notes.
       1. Sh 1088
       2. Sh. 3088
       3. Sh 912
       4. Sh. 928
31. Omagwa paid sh 1930 for a shirt after being allowed 3½% discount. What was the discount
    1. Sh 2500
    2. Sh 70
    3. Sh 3900
    4. Sh 2000
32. In the triangle PQR below line PQ=15cm, QR=16cm and RP=10cm. PO is perpendicular to QR. Angle PQS is 145° and PRQ is 60°
    
    Calculate the size of angle RPQ
    1. 150°
    2. 30°
    3. 85°
    4. 95°
33. A group of pupils in Kimwera primary school took 2 decilitres of milk each. How many pupils took 0.1m³ of milk
    1. 100
    2. 500
    3. 50
    4. 5
34. Construct an equilateral triangle ABC of sides 5cm. Draw a circle such that points A,B andC are on the circumference. What is the radius of the circle
    1. 2
    2. 6
    3. 3
    4. 4
35. A car travelling at 70km/h takes 3 hours to finish a journey. At what speed must it travel to finish the journey in 2 hours
    1. 84km/h
    2. 100km/h
    3. 105km/h
    4. 138,km/h
36. Korir's flower garden is in the shape shown below
    
    Calculate the area of the garden in ares
    1. 59.5
    2. 0.0595
    3. 5.95
    4. 0.595
37. Convert ²/₉, to a decimal and give your answer to the nearest whole number
    1. 2
    2. 0
    3. 0.2
    4. 0.22
38. Calculate the volume of the cylinder drawn below in cubic metres
    
    1. 1886500m³
    2. 18865m²
    3. 18865m³
    4. 1886500m²
39.  The cash price of a radio cassette is 20% less than the hire purchase price. Kimani bought the radio cassette on hire purchase price by paying a deposit of Sh 2000 and five monthly installments of sh 300. How much more than the cash price was the hire purchase price?
    1. Sh 3500
    2. Sh 700
    3. Sh 583.50
    4. Sh 2800
40. The temperature of a room was -18°C. After sometimes of a gradual increase, it read 15°c. What was the temperature increase?
    1. 33°C
    2. 30°C
    3. 15°C
    4. 0°C
41. A river of length 12.5km is represented on map by a distance of 25cm. What was the scale on a map
    1. 1:50000
    2. 1:10000
    3. 1:125000
    4. 1:25000
42. The number of children in a town is twice than that of women. There are 340 more women than men. If there are 6240 children, how many men are there in the town?
    1. 3120
    2. 3420
    3. 2780
    4. 3460
43. Find the value of 2.45 + 0.03 (4 x 3) − 0.54
    1. 2.55
    2. 32.46
    3. 2.36
    4. 2.27
44. Construct triangle RST in which line RS-4cm, ST-6cm and angle RST=100°. Draw a circle touching its edges. What is the diameter of the circle?
    1. 1.5cm
    2. 3cm
    3. 2cm
    4. 4cm
45. Solve the value of x in the equation ⁵/₈ (x − 48) − 24 − 38
    1. 144
    2. 76
    3. 147.2
    4. 146.2
46. The table below shows the types and number of vehicles Njuguna counted along Embu-Meru road on one day
    Buses     Lorries        Nissans      Cars
      12             45              120             b?
    If the mean of all the vehicles counted was 50. How many more Nissans than cars did he count?
    1. 60
    2. 97
    3. 23
    4. 54
47. The charges for sending a telegram are sh. 20 for the first ten words of less. Each additional word is charged @ Sh.1.00 A 10% tax is charged on the total. How much did Beatrice pay to send the following telegram ALICE MUTHONI BOX 46933 NAIROBI SEND YOUR CERTIFICATES FOR TEACHER TRAINING RECRUITMENT BEATRICE ACHIENG NAKURU
    1. Sh.50.50
    2. Sh.25.00
    3. Sh.12.50
    4. Sh 27.50
48. The circumference of a circle is 88cm. Calculate the area of the circle in cm²
    1. 616cm²
    2. 768cm²
    3. 308cm²
    4. 154cm²
49. Pauline has 2x sweets. Her sister Mary has 8 more sweets than Pauline. If they all put their sweets together and shared them equally. How many sweets did each of them get?
    1. 2x + 4
    2. 2x+8
    3. 4x+8
    4. 4x + 4

The graph below shows Mr. Ndungu's journey from Nieri to Molo and back. Study it and answer question 50.

50. From the graph, calculate Mr. Ndungu's average speed for the whole journey?
    A. 93km/h
    B. 140km/h
    C. 80km/h
    D. 70km/h

MARKING SCHEME

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