Mathematics Questions and Answers - Class 8 Opener Exams Term 2 2023 Set 1

QUESTIONS

1. Which one of the following is ninety million, nine hundred and ninety thousand and ninety nine in symbols?
   1. 90 990 099
   2. 90 990 909
   3. 90 990 990
   4. 90 909 909
2. What is the number 31.0578 rounded off to the nearest tenths?
   1. 31.06
   2. 31.0
   3. 31.1
   4. 30.1
3. Which of the numbers below is the square of 2³/₅?
   1. 4 ⁹/₂₅
   2. 6 ¹⁹/₂₅
   3. 3 ⁹/₂₅
   4. 6 ⁹/₂₅
4. What is the product of the total value of digit 5 and 4 in the number 875 643?
   1. 2 000 000
   2. 2000
   3. 20 000
   4. 200 000
5. Milk was stored in three containers of 36 litres, 48 litres and 60 litres. The milk in each container was then repacked into smaller containers. The amount of milk in each of the smaller containers was the same. What was the capacity of the largest container used to repack the milk? 
   1. 12 litres
   2. 18 litres 
   3. 16 litres
   4. 6 litres
6. What is the place value of digit 4 in the number 643 218?
   1. Hundreds
   2. Thousands
   3. Tens of thousands
   4. Hundreds of thousands
7. The perimeter of a square garden is 60 metres. What is the area of the garden in square metres?
   1. 3 600m²
   2. 225m²
   3. 240m²
   4. 900m2 
8. Kosgey bought the following items from a shop;
   4 rolls of toilet paper @sh 25.00
   ³/₄ kg of salt at sh 40 per kg
   2 kg packet of sugar at sh 190.00 per kg
   2 bottles of milk for sh 60.00
   How much should he give the shopkeeper in order to get a balance of thirty shillings?
   1. Sh 100
   2. Sh 1 000
   3. Sh 570
   4. Sh 600
9. The number of men passengers in a bus was m. The number of children in the bus was three times that of women passengers but was 8 more than that of men. Which one of the following expressions shows the total of number passengers in the bus?
   1. 2¹/₃m +10²/₃
   2. 2¹/₃m- 8²/₃
   3. 2¹/₃m-10²/₃
   4. 2¹/₃m+8²/₃
10. The marked price of a blouse was sh 800.00. Hadija bought five such blouses after being given a 15% discount on each. How much did she pay for the five blouses?
    1. Sh 600
    2. Sh 4 000
    3. Sh 680
    4. Sh 3 400
11. What is the value of
    4¹/₂ + 3¹/₂ ?
    5¹/₂   2¹/₅
    1. 2¹/₂
    2. 2¹/₃
    3. 2⁹/₂₂
    4. 2³/₁₁
12. A container whose capacity is 40.75 litres is to be emptied into tins of capacity 250ml. How many tins are required?
    1. 136
    2. 163
    3. 176
    4. 167
13. Kiboi obtained 70% in a Mathematics test. If the test was out of 60, how many marks did he lose?
    1. 18 
    2. 20
    3. 42
    4. 40
14. Increase 800 by 20%.
    1. 1 200
    2. 1 540
    3. 960
    4. 1 760
15. What is the value of k in the equation below?
    ³/₄(8k-24)= 4k +7?
    1. 16
    2. 8¹/₂
    3. 12¹/₂
    4. 2¹/₂
16. Hillary bought 2 bags of sugar cach 50 kg which he packed as follows: a quarter of the sugar in 500g packets, a half of the sugar in 250g packets and the rest in 125g packets. How many packets altogether did he obtain? 
    1. 600
    2. 450 
    3. 300
    4. 750
17. Kioko sold milk from 15th January to 15th March 2020. If each day he sold an average of 8 litres, how many litres did he sell altogether?
    1. 464 litres
    2. 472 litres
    3. 480 litres
    4. 488 litres
18. A shopkeeper bought 30 eggs. He then sold each egg at sh 18 making a profit of 20%. How much had he paid for the eggs?
    1. Sh 450
    2. Sh 540
    3. Sh 600
    4. Sh 90.
19. What is the next number in the pattern below?
    7, 16, 34, 70, ..............
    1. 72
    2. 188
    3. 96
    4. 142
20. Construct triangle PQR such that line PQ-7cm, angle RQP-70° and angle RPQ-50 Draw a circle that touches lines PQ, QR and PR. What is the radius of the circle?
    1. 1.1 cm
    2. 2.1 cm
    3. 3.1 cm
    4. 4.2 cm
21. What is the value of
    9(30-24)-6x3 ?
             6
    
    1. 6
    2. 18
    3. 12
    4. 9
22. Which one of the following quadrilaterals has varied lengths of diagonals which bisect each other at a right angle?
    1. Rhombus
    2. Rectangle
    3. Square
    4. Parallelogram
23. Wambui and Wanjiru shared some fruits in the ratio of 8:5. If Wanjiru got 30 fruits less than Wambui, how many fruits were shared?
    1. 120
    2. 50
    3. 80
    4. 130
24. Which of the following numbers is divisible by 11?
    1. 56 024
    2. 30 294
    3. 63 199
    4. 72 246
25. A cuboid measures 8 cm long, 6 cm wide and 4 cm high. What is the total length of the edges in centimetres?
    1. 54 cm
    2. 32 cm
    3. 72 cm
    4. 216 cm
26. The pie chart below shows how Khemba spent his salary.
    
    If he spent sh 12 000 on rent, how much more did he spend on school fees than on food?
    1. Sh 48 000
    2. Sh 24 000
    3. Sh 144 000
    4. Sh 36 000
27. A labourer is paid sh 7 500 after working for 25 days. How much would he be paid if he works for 31 days?
    1. Sh 9 000
    2. Sh 6 000
    3. Sh 9 300
    4. Sh 12 000
28. A closed cylindrical tank has an internal diameter of 1.4 metres and a height of 4m. Calculate the surface area of the tank
    1. 20.68m²
    2. 17.6m²
    3. 19.14m²
    4. 6.16m²
29. Mwai borrowed sh 90 000 from a bank that charges simple interest at the rate of 9%,% p.a. How much should he pay back to the bank at the end of two years?
    1. Sh 17 100
    2. Sh 16 200
    3. Sh 107 100
    4. Sh 106 200
30. A road measuring 6 cm on a map has an actual distance of 72 km. What is the scale used in drawing of the map? 
    1. 1:2000 000
    2. 1:1 200 000
    3. 1: 120 000
    4. 1: 12 000
31. The top of a ladder, 34 metres long, leans on a vertical wall. The ladder touches the wall at a height of 30 mercs. What is the horizontal distance from the bottom of the ladder to the wall?
    1. 14m
    2. 18m
    3. 10m
    4. 16m
32. The hire purchase price of a wall cabinet is sh 33 000. Kamau bought the wall cabinet on hire purchase terms by paying a deposit of sh 18 000 and the rest on equal monthly instalments of sh 2 500 each. For how many months did he pay for the wall cabinet? 
    1. 6 months
    2. 4 months
    3. 8 months
    4. 12 months
33. A cylinder has a volume of 9 900cm'. If the height of the cylinder is 14em, what is its diameter? (Take π =²²/₇)
    1. 10cm
    2. 15cm
    3. 30cm
    4. 20cm
34. Construct triangle MKL in which line MK 7cm, KL-6em and angle MKL is 90°. Draw a circle that touches the vertices of the triangle. What is the radius of the circle?
    1. 2.3cm
    2. 4.6cm
    3. 9.2cm
    4. 18.4cm
35. The diagram below represents a piece of land in the shape of a trapezium and a semi-circle.
    
    What is the area of the piece of land?
    1. 256m²
    2. 962.5m²
    3. 1 346.5m²
    4. 737.25m²
36. Increase 66 kg in the ratio of 15:11.
    1. 90kg
    2. 120kg
    3. 88kg
    4. 150kg
37. A travel agent received sh 9 000 commission in a certain month on sales of tickets worth sh 150 000. What was the percentage commission?
    1. 16%
    2. 20%
    3. 6%
    4. 15%
38. Kuntai bought a coat for sh 5 600. If the marked price was sh 6 000, how much was the percentage discount?
    1. 3¹/₃%
    2. 6²/₃%
    3. 5%
    4. 6%
39. The diagram below shows a rectangular tank.
    
    Calculate is its volume.
    1. 12.125m³
    2. 31.125m³
    3. 21.125m³
    4. 6.425m³
40. What is the area of the shaded region in the figure below?
    
    
    1. 288cm²
    2. 150cm²
    3. 1 800cm²
    4. 282cm²
41. A bicycle wheel has a radius of 28cm. What distance does it cover in kilometres if it makes 200 revolutions?
    1. 0.352km
    2. 352km
    3. 35.2km
    4. 3.52km
42. In the figure below, PQR is a straight line. Line PQ-QR-QS. Angle SPR =40°
    
    What is the size of angle QRS?
    1. 70°
    2. 60°
    3. 50°
    4. 40°
43. Simplify the following algebraic expression;
    5(4x+3y) +3(4x-2y)
    1. 32x+21y
    2. 32x+9y
    3. 32x-21y
    4. 32x-9y
44. How many cubes make the stack below
    
    
    1. 216
    2. 54
    3. 84
    4. 162
45. The table below shows the commission rates for sending money orders.
    

    Value of order	Commission
    0-500	Sh 56.00
    501-1500	Sh 81.00
    1 501-1500	Sh 112.00
    3 001-6000	Sh 134.00
    6001-10 000	Sh 185.00

    Daisy sent two money orders, one for sh 5 000 and another for sh 8 500. How much did she pay at the post office altogether?
    1. Sh 13 819
    2. Sh 14 519
    3. Sh 13 500
    4. Sh 319
46. Calculate the area of a circle whose diameter is 28cm.
    1. 2 464cm²
    2. 308cm²
    3. 1 232cm²
    4. 616 cm³
47. The average mass of a class of 40 pupils was 46.5kg. When the teacher was included the average mass became 47.1 kg. What was the mass of the teacher?
    1. 69.1kg
    2. 65.6kg
    3. 71.1kg
    4. 76.5kg
48. Which of the following measurements will not form a right angled triangle?
    1. 7cm, 24cm, 25cm
    2. 6cm, 8cm, 10cm
    3. 8cm, 15cm, 17cm
    4. 8cm, 25cm, 26cm
49. What is the value of
    28.348 +0.000564+ 54+ 16.2?
    1. 108.548564
    2. 108.54586
    3. 108. 58456
    4. 108. 45658
50. The graph below represents the amount of rainfall received in one year.
    
    What was the total rainfall for the last third of the year?
    1. 185mm
    2. 230mm
    3. 215mm
    4. 165mm

MARKING SCHEME