Mathematics Questions and Answers - Class 8 Mid Term Exams Term 1 2023 Set 7

QUESTIONS

1. Which one of the following is sixty eight million, two hundred and four thousand and fifteen hundredths? 
   1. 68240000.015
   2. 68204000.15
   3. 68204000.015
   4. 6820400.15
2. What is the difference between the total values of digit 4 and 3 in the number 865.41329?
   1. 0.4
   2. 0.003
   3. 0.397
   4. 0.403
3. What is 38.3467 rounded off to the nearest hundredths?
   1. 38.3500
   2. 38.345
   3. 38.35
   4. 38.340
4. Which of the following numbers is not divisible by 11?
   1. 40579
   2. 109857
   3. 162383
   4. 110011
5. What is the square root of 7¹⁸/₄₉?
   1. 2⁵/₇
   2. 7⁶/₇
   3. 3⁵/₇
   4. 54³⁷/₄₉
6. Work out ³/₄ of (6³/₄ + 1¹/₂)
   1. 8¹/₄
   2. 5¹/₆
   3. 6⁹/₁₆
   4. 6³/₁₆
7. In the diagram below, PQ is parallel to RS and XY is the transversal.
   
   What is the size of angle marked 't'?
   1. 60°
   2. 120°
   3. 80°
   4. 40°
8. What is 0017hr in the am/pm clock system?
   1. 00.17 am
   2. 24.17 am
   3. 12.17 am
   4. 12.17 pm
9. A square room has an area of 1225 m².
   What is the perimeter of the room?
   1. 180 m
   2. 306.25 m
   3. 100 m
   4. 140 m
10. What is the smallest number that can be divided by 16, 24 and 48 without a remainder?
    1. 48
    2. 96
    3.  8
    4. 88
11. Express 3:4 as a percentage.
    1. 42%
    2. 75%
    3. 30%
    4. 133¹/₃%
12.  Arrange, ⁵/₆ , ⁷/₈ , ⁹/₁₁ and ³/₄ from the largest to the smallest.
    1. ⁷/₈ , ⁵/₆ , ⁹/₁₁ , ³/₄ 
    2. ³/₄ , ⁵/₆ , ⁷/₈ , ⁹/₁₁
    3. ⁹/₁₁, ⁷/₈ , ⁵/₆ , ³/₄
    4. ³/₄ , ⁹/₁₁ , ⁵/₆ , ⁷/₈
13. Calculate the area of the figure below.
    
    
    1. 55 cm³
    2. 100 cm²
    3. 375 cm²
    4. 322 cm²
14. What is the value of
    36÷9+3x2-6÷3x5+4?
    1. 18
    2. 4
    3. 12
    4. 9
15. Phaustine had 120 kg of sugar. She packed it into ³/₄ kg packets. How many packets did she pack altogether?
    1. 90
    2. 160
    3. 480
    4. 30
16. Find the sum of the next two numbers in the sequence: 4, 9, 25, 49, 121,............., ...................?
    1. 169
    2. 458
    3. 289
    4. 225
17. A box measures 1.5m by 0.8m by 0.4m.
    Find its volume in cm³.
    1. 480
    2. 0.48
    3. 48000
    4. 480000
18. Njoki bought the following items from a market:-
    3kg carros at sh. 25 per kg
    1¹/₂ kg onions@sh. 30
    2 kg cabbages @ sh. o
    What balance did she get if she get if she gave the vender a two hundred shillings note?
    1. Sh. 48
    2. Sh. 71
    3. Sh. 152
    4. Sh. 129
19. Evaluate: 4.8 x 3.05
                        0.06
    1. 2.44
    2. 24.4
    3. 0.244
    4. 244
20. Which of the following properties is not true about a rectangle?
    1. Each angle is a right angle.
    2. It is a quadrilateral.
    3. Opposite sides are equal.
    4. All sides are equal.
21. During a celebration, there were 780 men present. There were 150 more women than men. How many adults attended the celebration?
    1. 1710
    2. 930
    3. 1410
    4. 630
22. Motungi sold an item for sh. 4400 making a profit of 10%. How much was the profit?
    1. Sh. 440
    2. Sh. 4000
    3. Sh. 400 
    4. Sh. 39600
23. Ndung'u had 60 Heads of cattle and 80 goats. He increased his cattle by 30% and decreased his goats by 20%. How many animals does he have now?
    1. 412
    2. 142
    3. 214
    4. 124.
24. The diagram below represents Okello's plot.
    
    Calculate the perimeter of the plot in metres.
    1. 280 m
    2. 208 m
    3. 256 m
    4. 184 m
25. Draw a triangle ABC in which AB 9 cm and line AC = BC= 7 cm. Drop a perpendicular line from point C to meet line AB at X. Measure line CX. 
    1. 5.3 cm
    2. 4.5 cm
    3. 6.0 cm
    4. 4.2 cm
26. What is the size of angle y in the figure below?.
    
    
    1. 80°
    2. 100°
    3. 40°
    4. 60°
27. Mary bought a radio after she was given a discount of 15%. If the marked price of the radio was sh. 1800. How much did she pay for the radio?
    1. Sh. 270
    2. Sh. 2070
    3. Sh. 1530
    4. Sh. 1785
28. Decrease 480 in the ratio 5:6.
    1. 400
    2. 576
    3. 552
    4. 560
29. Solve for the value of x in:
    x-2 + 3x+6 = 4
      3       4
    
    1. 2¹²/₁₃
    2. 3¹/₁₂
    3. 4⁶/₁₃
    4. 2³/₈
30. The hire purchase price of a bicycle is sh. 6400. Alice paid sh. 900 as deposit and the balance in 10 equal monthly instalments. How much was each monthly instalment?
    1. Sh. 730
    2. Sh. 5500
    3. Sh. 7300
    4. Sh. 550
31. What is the value of the angle marked 'q' in the figure below.
    
    
    1. 80°
    2. 100°
    3. 120°
    4. 20°
32. The surface area of a pipe is 990 cm3. What is its radius if its height is 15 cm?
    1. 21 cm
    2. 66 cm
    3. 10.5 cm
    4. 33 cm
33. Construct triangle XYZ such that line XY-8cm, angle ZYX=45° and angle YXZ-55°. Draw a circle touching the sides of the triangle. What is the diameter of the circle?
    1. 3.8 cm
    2. 3.4 cm
    3. 1.9 cm
    4. 1.7 cm
34. Debrah left Ruga at 9.45am to travel to Osami a distance of 350 km. Her average speed was 79 km/h. At what time in 24 hr clock system did she arrive at Osoni?
    1. 0445 hr
    2. 1045 hrs
    3. 2.45 hrs
    4. 1445 hrs
35. The pie chart below shows how Oduor spent his salary of sh. 6000.
    
    How much money did he spend on food than on rent?
    1. Sh. 1500
    2. Sh. 500
    3. Sh. 2000
    4. Sh. 3500
36. Work out: √0.0576 + (0.1)²
    1. 0.34
    2. 0.24
    3. 0.25
    4. 0.124
37. A cylindrical container has a base area of 616 cm² and a height of 10 cm. How many decilitres of water does it hold when half full?
    1. 308
    2. 616
    3. 30.8
    4. 61.6
38. A 1¹/₂ hr meeting started 25 minutes late and ended at 4:15 pm. At what time was the meeting supposed to start?
    1. 2.20 pm 
    2. 3.10 pm
    3. 2.45 pm
    4. 3.50 pm
39. On a map, the length of a river is represented by 10 cm. If its actual distance is 80 km. What is the scale used in the map?
    1. 1:800000
    2. 1:8000
    3. 1:8000000
    4. 1:80000
40. Calculate the area of the triangle below.
    
    
    1. 78 cm²
    2. 30 cm²
    3. 60 cm²
    4. 5 cm²
41. A safari Rally car travelled at a speed of 50m/s. What was its speed in km/h?
    1. 50 km/h
    2. 300 km/h
    3. 180 km/h
    4. 83 km/h
42. Find the volume of the cylindrical tank below. (π = ²²/₇)
    
    
    1. 7700 cm³
    2. 3080 cm³
    3. 770 cm³
    4. 1540 cm³
43. In the year 2016, 18th February was on a Monday. Which day was 8^th March the same year?
    1. Monday
    2. Friday
    3. Saturday
    4. Wednesday
44. The height of 4 boys is 120 cm, 121 cm, 112 cm and 119 cm. Find the median height.
    1. 121 cm
    2. 123 cm
    3. 120 cm
    4. 119.5 cm
45. What is the area of the figure below?
    
    
    1. 1344 cm²
    2. 2576 cm³
    3. 1196 cm²
    4. 14562 cm²
46. Find twice the square root of 1⁷/₉.
    1. 1¹/₃
    2. 2²/₃
    3. ⁴/₉
    4. 3¹³/₈₁
47. A farmer sold 2.5 tonnes of maize to a shopkeeper who later packed it into 2kg packets. How many packets did he obtain?
    1. 1250
    2. 125
    3. 2500
    4. 5000
48. If p=5,q=p=2 and r=pq. Find the value of:
    2p+5q
        p
    
    1. 25
    2. 30
    3. 5
    4. 15
49. 15 boys can take 9 hours to clean a hall. How many more hours will 9 boys take to clean the same room?
    1. 15
    2. 6
    3. 4
    4. 9
50. Ongang'a Primary school boys planted trees along both sides of their 100m path from the gate to the staffroom. How many trees did they plant if they spaced them at intervals of 2.5 m?
    1. 41
    2. 40 
    3. 82
    4. 80

MARKING SCHEME