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

1. Which one of the following is sixteen million, one hundred and seventy thousands two hundred and six and twenty six hundreths written in symbols?
   1. 16170206.026
   2. 16170206.0026
   3. 16170206.26
   4. 16017206.26
2. How many times is the total value of digit 9 greater than the total value of digit 5 in the number 4906523.08?
   1. 899500
   2. 1800
   3. 18000
   4. 899500.08
3. What is the value of
            1.5×4-0.8x0.96÷0.24
                   2×0.001
   1. 0.14
   2. 14
   3. 0.0014
   4. 1400
4. The following are prime factors of three numbers
   1. 2⁴ X 3
   2. 4² X 2²
   3. 3² X 2³
      What is the greatest number that can divide the three numbers without a remainder?
      1. 8
      2. 4
      3. 576
      4. 16
5. What is twice the next number in the pattern below?
   1, 4, 10, 19,
   1. 31
   2. 62
   3. 34
   4. 68
6. In a crusade, ¹/₅ of the attendants were boys while ¼ were girls. Two fifth of the remainder were men and the rest were women. If there were 16 more women than girls, how many people were there in the crusade?
   1. 106
   2. 240
   3. 180
   4. 200
7. The depth of water in a dam was 2000cm. In each month, the level of water decreased by 10%. What was the level of water at the beginning of third month?
   1. 1800cm
   2. 1458cm
   3. 1620cm
   4. 1600cm
8. What is the value of
   24 + 4² + 6 − 72 ÷ 36 x 2
                  2 x 6
   1.  6
   2.  12
   3.  4
   4.  3
9. What is the value of √1⁷/₉ + ²⁵/₁₀₀ 
   1. ⁶/₁₁
   2. 1⁵/₆
   3. ²/₃
   4. 1²/₃
10. Kamau shared part of his land among his three children. Their shares were 0.28, 0.23 and 0.29 of the land. If the part that was shared was 48 hectares, how many hectares of the land did he remain with?
    1. 60 ha
    2. 6 ha
    3. 18 ha
    4. 12 ha
11. Patience takes her car for service on 10th day of every month. In the year 2001 she took it on a Wednesday in the month of January. What day of the week did she take it in the month of April?
    1. Monday
    2. Thursday
    3. Tuesday
    4. Friday
12. Two business persons Yusuf and Chege shared their profit such that Yusuf got 45¹/₃% and Chege the rest. What was Chege's share as a fraction in it's simplest form?
    1. ⁴¹/₇₅
    2. ³⁴/₇₅
    3. ⁸³/₁₅₀
    4. ⁶⁷/₁₅₀
13. What is the value of
    (4½ − 2¼ + 1½ ÷ ³/₂) ÷ 4
    1. ¹⁵/₁₆
    2. ¹³/₁₆
    3. ⁵/₁₆
    4. ¹¹/₁₆
14. Baltonet sold her second hand car at sh. 476325. She rounded off the amount of money to the nearest ten thousands. She then shared the money equally with her four children. How much money did each get?
    
    1. sh. 120000
    2. sh. 95200
    3. sh. 119000
    4. sh. 96000
15. In the figure below ABCD is a parallelogram. AB = 24cm, CE = 16cm and AD = 17cm. The area of the shaded part is 300cm².
                                                
    What is the area of the parallelogram ABCD?
    1. 240cm²
    2. 60cm²
    3. 360cm²
    4. 408cm²
16. The diagram below shows a cubical piece of timber of sides 14cm through which a circular hole is drilled.
                                                           
       What is the volume of the remaining piece of timber?
    1. 588cm³
    2. 2744cm³
    3. 2156cm³
    4. 616cm³
17. Sandeh left home at 2230 hours on Tuesday for a journey which took 1¹/₈ days to complete. On what day and time in am/pm system did she complete her journey?
    1. Wednesday 0130h
    2. Wednesday 1.30am
    3. Tuesday 1.30am
    4. Wednesday 1.30pm.
18. The figure below represents a metallic wedge. It was painted allover.
                                                        
    What was the area painted?
    1. 330cm²
    2. 300cm²
    3. 360cm²
    4. 365cm²
19. A motorist left town E at 8.30am and travelled to town G a distance of 300km via town F. He took 1½ hours to travel from town E to F at an average speed of 100km/h. After 55 minutes rest, she continued with the journey at an average speed of 75km/h. At what time did he arrive at town G?
    A. 12.55 am
    B. 10.55am
    C. 1055h
    D. 1255 h
20. The base area of a cylindrical container A is 154cm² and the height is 20cm. A container B holds 4000ml of water. If water from container B is used to fill container A, how much water will remain in container B?
    1. 3080ml
    2. 920ml
    3. 7080ml
    4. 2460ml
21. What is the area of the figure given below?
                                                     
22. A farmer fenced his circular fish pond using four strands of barbed wire. The total length of wire he used was 880m. What was the radius of the fish pond?
    1. 35m
    2. 70m
    3. 140m
    4. 17 ½m
23. A juakali artsan cut a sheet of metal in a shape of right angled triangle. He noted that the perimeter of the sheet metal was 40cm. Which of the following sets of measurement is not likely to be the dimensions of the sheet of metal?
    1. 7cm, 24cm, 25cm
    2. 8cm, 15cm, 17cm C. 
    3. 14cm, 16cm
    4. 5cm, 12cm, 13cm
24. The mass of a lorry when carrying six people and with carrots is 6.4 tonnes. The average mass of the people is 70.5kg. What is the mass of carrots in kilogrammes if the weighs 3.6 tonnes when empty?
    1. 2377
    2. 2.377
    3. 2800
    4. 2.8
25. In the figure below EFGH is a rhombus. Line EG is the diagonal of the rhombus. Angle HEK = 20° and angle IJG = 80°.
                                                            
      What is the size of angle EFI?
    1. 140°
    2. 50°
    3. 100°
    4. 40°
26. The figure below is a net of a certain solid.
                                                            
    What is the product of edges and vertices of the solid formed when the net is folded?
    1. 20
    2. 24
    3. 32
    4. 30
27. The following are properties of quadrilaterals:
    1. Has two pairs of parallel sides
    2. Diagonals are not equal but bisect each other at 90°
    3. All angles are not equal
    4. Diagonals do not bisect the angles
       Which pair of properties describe a rhombus?
       1. (i), (iv)
       2. (ii), (iii)
       3. (iii), (iv)
       4. (i), (ii)
28. Construct a triangle PQR such that PQ = 7cm and angle QPR = 110° and PR = 5cm. Draw a circle touching the three sides of a triangle. What is the length of the diameter of the circle?
    1. 3.2cm
    2. 1.6cm
    3. 5.3cm
    4. 10.6cm
29. The figure below is a quadrilateral MNOP.
                                                      
    What is the size of angle NOP?
    1. 100°
    2. 60
    3. 120°
    4. 80°
30. The following figure shows part of parallelogram WXYZ. Complete the parallelogram.
                                                       
    Draw and measure the shorter diagonal.
    1. 11.5cm
    2. 10.8cm
    3. 7.5cm
    4. 7cm
31. A sales agent is paid a basic salary of sh. 28000 plus a 12% commission on value goods sold above sh. 100000. What was the value of goods sold in a month she earned a total of sh. 64000?
    1. sh. 300000
    2. sh. 200000
    3. sh. 400000
    4. sh. 40000
32. A trader deposited sh.100000 in a bank that paid a compound interest at a rate of 10% p.a. How much money was his account at the end of 2 years?
    1. sh. 121000
    2. sh. 120000
    3. sh. 21000
    4. sh. 20000
33. By selling a suit at sh. 4800, Mutiso made a loss of 20%. For how much more would he have sold it to make a profit of 10%?
    1. sh. 6600
    2. sh.1800
    3. sh. 6000
    4. sh. 1200
34. The table below shows the commission charged when one buys postal orders.
    
    

    Value of order(shs)	Commission (sh.)
    100.00	11.00
    200.00	12.00
    300.00	24.00
    400.00	42.00

    
    Oloo wanted to send sh. 1000 by postal order. Which of the postal order combinations given below should he buy in order to pay the least commission?
    
    
    1. sh. 400+ sh. 300+ sh. 200+ sh. 100
    2. sh. 400+sh. 400+ sh. 200
    3. sh. 400+ sh. 200+sh. 200+sh. 200
    4. sh. 200+sh. 200+sh. 200+sh. 200+sh. 200
35. Pendo bought the following items from a supermarket
    Six rolls of tissue paper @sh.70
    Two kilograms of dolicos @sh. 170
    1³/₄kg of beef @sh. 400
    Three loaves of bread for sh. 210
    Four packets of wheat flour at sh. 220 per packet
    How much did she pay to the cashier if she returned two packets of flour?
    1. sh. 1890
    2. sh. 2550
    3. sh. 2110
    4. sh. 2530
36. Wanjiku paid sh. 1800 for a dress after she was allowed a discount of 10%. She later sold it making a profit of 20%. For how much did she sell the dress?
    1. sh 2000
    2. sh. 2160
    3. sh. 2400
    4. sh. 360
37. The marked price of a sofaset is sh. 50000. Mukami bought on cash and she was allowed a discount of 10%. Bett bought it on hire purchase term. The amount she paid was 30% more than the marked price. How much more than Mukami did Bett pay for the sofa set
    1. sh. 20000
    2. sh. 15000
    3. sh. 5000
    4. sh. 110000
38. What is the value of p in the equation
    2p + 2p − 6 = 6
    8            4   
    +
    1. 6
    2. 12
    3. 10
    4. 4
39. What is 2(2x+4y)+2x- 8y expressed in simplest form?
                4(4y- 2x)- 10y+8x
    1. ^x/_y
    2. 3x+8y
       3y−8x
    3. 6r+ y
       6y− x
    4. 6x
       6y
40. What is the value of 2r² − 2(p− q) ?
                                           p-q
    if p = 4, q= 2 and r = 3
    1. 3
    2. 7
    3. 4
    4. 16
41. Korir had 165 animals. The number of sheep was half that of goats. The number of goats was 10 more than that of cows. If the number of cows is represented by k, which of the equations below can be used to get the value of k?
    1. 2½k − k−15 = 165
    2. 4k+ 30 = 165
    3. k+15 = 165 
    4. 2½k +15 = 165
42. A school has a population of 420 pupils. The ratio of boys to girls is 3:4 respectively. During music festival, ¹/₆ of boys and ¹/₈ girls participated. How many pupils did not participate?
    1. 60
    2. 390
    3. 360
    4. 480
43. Eight workers working at the same rate can complete a piece of work in 24 days. How many more days would the work take if 2 workers fail to turn up?
    1. 24
    2. 8
    3. 72
    4. 19¹/₅
44. The mean of six numbers is 5. Four of these numbers are 4, 8, 7 and 3. The other two numbers are equal. What is the product of mean and medium?
    1. 4
    2. 8
    3. 20
    4. 40
45. A distance of 11km is represented on a map by a length of 5cm. What is the scale used?
    1. 1:2.2
    2. 1:2200000
    3. 1:22000
    4. 1:220000
46. The pie chart below shows how Alice spent her salary.
                                                         
    If her salary is sh. 90000, how much more than transport did she save?
    1. sh. 10000
    2. sh. 20000
    3. sh. 30000
    4. 40000
47. The table below shows the fare in shillings for a matatu travelling from town P to town S.
                                                 
    Amina travelled with her two children from town P to S via Q. They later travelled back to P express. If a child pays half the fare, how much did they pay for the whole journey?
    1. sh. 700
    2. sh. 1400
    3. sh. 1200
    4. sh. 1600
48. The figure below is made of squares.
                               
    How many squares are there altogether?
    1. 12
    2. 20
    3. 13
    4. 21
49. The stack below is made of cubes glued together. It was painted allover.
                          
    How many cubes were not painted at all?
    1. 144
    2. 40
    3. 32
    4. 48
50. The graph below shows part of the journey taken by a motorist from town A to B. If the remaining journey took two hours, what was the average speed for the whole journey?
                                      
    1. 80km/h
    2. 75km/h
    3. 50km/h
    4. 90km/h

MARKING SCHEME

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