Mathematics Questions and Answers - Class 8 Opener Exams Term 1 2023 Set 5

QUESTIONS   

1. Which of the following figures represents the number three hundred thousand and twenty eight?
   
   1. 300028
   2. 30000028
   3. 30028
   4. 3000028
2. Write 0.250 as a percentage
   
   1. 25%
   2. 2.5%
   3. 250%
   4. 0.25%
3. A container with the shape of a cube holds 8000ml of water when full. What is the length of one side of the container?
   
   1. 20ml
   2. 25cm
   3. 20cm
   4. 0.02m
4. 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?
   
   1. Sh.1200
   2. Sh.400
   3. Sh.1600
   4. Sh.800
5. If ABCD is a rectangle, find the area of the shaded part
   
   1. 12cm²
   2. 24cm²
   3. (x + 4)cm²
   4. 8cm²
6. If the square root of x² = y, which of the following statements is correct
   1. x² = √y
   2. x² = y
   3. x² = y² 
   4. y = √x
7. 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?
   1. 1½hrs
   2. 2½hrs
   3. 1hr
   4. 2hrs
8. 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?
   1. Sh.100
   2. Sh.50
   3. Sh.30
   4. Sh.70
9. What amount of money will earn a simple interest of Sh.75 in two years at the rate of 12%,% per year
   
   1. Sh.550
   2. Sh.650
   3. Sh.300
   4. Sh.400
10. 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?
    1. Sh.628
    2. Sh.62.80
    3. Sh.188.40
    4. Sh.230.00
11. 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?
    
    1. 75g
    2. 25g
    3. 50g
    4. 250g
12. The figure is made up of eight equal squares each of side x cm. What percentage of the whole figure has
    been shaded?
    
    
    1. 37.5%
    2. 30%
    3. 48.6%
    4. 31.25%
13. 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?
    1. 163
    2. 169
    3. 168
    4. 170
14. The figure represents a rectangular block of wood. Find the total length of all the edges
    
    
    1. 24cm
    2. 48cm
    3. 72cm
    4. 36cm
15. A rectangular piece of paper has an area of 0.39m². Express this area in square centimetres
    
    1. 3900cm²
    2. 39cm²
    3. 390cm²
    4. 130cm²
16. 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?
    
    1. 15 minutes
    2. 8 minutes
    3. 12 minutes
    4. 16 minutes
17. 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?
    
    1. 18
    2. 60
    3. 90
    4. 15
18. 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
    
    
    1. 21cm
    2. 22cm
    3. 10.5cm
    4. 12.5cm
19. Solve the equation for x if ½(3x − 2) = x+1
    1. 1½
    2. 1¹/₃ 
    3. 5
    4. 4
20. 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?
    
    1. 20
    2. 35
    3. 25
    4. 20
21. Find the value of: ¹/₃ x ³/₅ ÷ ¼ − ½
    
    1. ³/₅
    2. ⁵/₈
    3. ³/₁₀
    4. ⁹/₁₁
22. The figure represents the net of an open box. Calculate the total surface area of the box
    
    
    1. 80cm²
    2. 170cm²
    3. 150cm²
    4. 120cm²
23. The circle graph represents monthly earning of Maina, Mwangi and Kamau. If Mwangi earns Ksh. 600, how much does Maina earn
    
    1.  Sh. 800
    2. Sh.900
    3. Sh.1200
    4. Sh.1000
24. 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?
    
    1. 9
    2. 16.2
    3. 12
    4. 3
25. 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?
    
    1. 7cm
    2. 3.5cm
    3. 14cm
    4. 12cm
26. If x=6, Find the value of 2x − x (12 − 2x)
    A. 0
    B. 48
    C. 24
    D. 52
27. The area of parallelogram ABCD is 32cm². If AD = 5cm and CD = 8cm, calculate the area of the shaded part
    
    1. 6cm²
    2. 3cm²
    3. 12cm²
    4. 8cm²
28. 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?
    
    1. 5:15am
    2. 3:15am
    3. 3:15pm
    4. 0315hours
29. A rectangular piece of land measures 8cm by 6cm on map. Find the actual area in hectares if the scale used is 1:1000
    
    1. 4.8ha
    2. 48ha
    3. 0.48ha
    4. 480ha
30. 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?
    
    1. 6 days
    2. 2 days
    3. 10 days
    4. 3 days
31. From the figure given calculate the size of angle Y
    
    1. 59°
    2. 102°
    3. 98°
    4. 105°
32. 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
    
    1. 16 years
    2. 12 years
    3. 15 years
    4. 14 years
33. Round off the numbers 6483 and 96835 to the nearest thousand and find their difference
    
    1. 103000
    2. 91000
    3. 2000
    4. 16000
34. 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?
    1. Sh.900
    2. Sh.891
    3. Sh.810
    4. Sh.990
35. A watch loses 3 seconds every 2½ minutes. It was set right at 8:15am. What time did it show at 10:45am?
    
    1. 10:42am
    2. 10:43am
    3. 10:48a.m
    4. 10:44am
36. Express 0.25 as a percentage of 0.75 and give your answer correct to one decimal place
    
    1. 25.5%
    2. 3.3%
    3. 30.3%
    4. 33.3%
37. A circular region of diameter 28m has circumference equal to the perimeter of another square region. Find the area of the square region.
    1. 484m²
    2. 1936m²
    3. 492m²
    4. 1236m² 
38. What number would be increased in the ratio of 3:2 to give 12
    1. 16
    2. 10
    3. 8
    4. 6
39. 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?
    
    1. 150
    2. 360
    3. 120
    4. 180
40. Which one of the digits of the number 12459 would you increase by seven to make the given number divisible by eleven?
    
    1. 5
    2. 2
    3. 4
    4. 9
41. 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?
    1. 225
    2. 205
    3. 215
    4. 220
42. 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? 
    1. 4.5cm
    2. 4.1cm
    3. 4.4cm
    4. 5cm
43. 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?
    1. 12
    2. 13
    3. 3
    4. 14

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

44. Between which two towns is the fare half the fare between Nairobi and Karatina? 
    1. Karatina and Nyeri
    2. Sagana and Nyeri
    3. Nyeri and Nanyuki
    4. Meru and Nanyuki
45. Find the sum of all prime numbers between 10 and 40 
    
    1. 153
    2. 14
    3. 116
    4. 180
46. Calculate half of the exterior angle marked x of the given parallelogram given
    
    
    1. 120°
    2. 60°
    3. 30°
    4. 40°
47. A third of the area of the figure WXYZ is 20cm². Calculate the value of b if YZ = bcm
    
    
    1. 10cm
    2. 12cm
    3. 14cm
    4. 11cm
48. 
    
    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  

49. By how many tonnes did the coffee export drop in 1973?
    
    1. 375
    2. 750
    3. 1875
    4. 1500
50. In which year did the country experience the highest drop in coffee export?
    
    1. 1973
    2. 1976
    3. 1975
    4. 1974

MARKING SCHEME

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