Mathematics - Class 8 End Term 1 Exam 2021 Set 1

1.  What is 7090315 written in words?
   1. Seventy million ninety thousand three hundred and fifteen
   2. Seven million ninety thousand three hundred and fifteen
   3. Seventy million nine thousand three hundred and fifteen
   4. Seven millon nine thousand three hundred and fifteen
2. What is the value of 300 − 75 ÷ 15?
                                             5
   1. 3
   2. 15
   3. 59
   4. 295
3. What is the value of: ⁴/₅ − ¹/₃ of ¾ +⁵/₆ ?
   1. ²¹/₅₀
   2. ³/₈
   3. ⁷/₃₄
   4. ½
4. What is the value of 0.324  ÷ (0.03 x 0.6)?
   1. 0.18
   2. 1.8
   3. 18
   4. 180
5. What is 570.9685 correct to the nearest lenth?
   1. 570.0
   2. 570.9
   3. 570.96
   4. 571.0
6. What is the measure of the obtuse angle KLM drawn below?
   
   
   1. 117°
   2. 123°
   3. 77°
   4. 63°
7. What is the square of 2¼?
   1. 1½
   2. 4¹/₁₆
   3. 5¼
   4. 5¹/₁₆
8. Mavia bought the following items from the shop
   4 packets of sugar @sh 107
   2kg tomatoes @sh 88
   ½ kg of meat @sh 400
   3 bottles of soda @sh 35
   How much balance did she get from sh 1000?
   1. Sh 91
   2. Sh 370
   3. Sh 630
   4. Sh 909
9. What is ³/₈(24x −16y) + 4y in the simplest form?
   1. 9x − 10y
   2. 9x + 2y
   3. 9x − 20y
   4. 9x − 2y
10. What is ³/₈, ⁴/₅, ⁷/₂₀, ³/₁₀ arranged in ascending order?
    1. ⁴/₅,  ³/₈, ⁷/₂₀, ³/₁₀ 
    2. ³/₁₀, ⁷/₂₀, ⁴/₅, ³/₈ 
    3. ³/₁₀, ⁷/₂₀, ³/₈, ⁴/₅
    4. ³/₈, ³/₁₀, ⁴/₅, ⁷/₂₀
11. The semicircle below represents a vegetable garden. It was fenced with five strands of wire.
    
    What length of wire was used? (Take π=²²/₇)
    1. 132m
    2. 216m
    3. 660m
    4. 1080m
12. Mwakio bought an item after being offered a discount of 30%. If this discount represented a reduction of sh 210, what was the price of the item before the discount?
    1. Sh 700
    2. Sh 490
    3. Sh 143
    4. Sh 63
13. What is the next number in the pattern
    5, 12, 19, 26, _____ ?
    
    1. 33
    2. 35
    3. 37
    4. 40
14. What is the value of  6c − (b − a) when a = 4, b = a+2 and c=½a + 3?
                                           b + c
    1. 2⁶/₁₁
    2. 2¹⁰/₁₁
    3. 1⁹/₁₁
    4. ¹⁰/₁₁
15. The figure below is an incomplete triangle PQR. Complete the triangle such that line PQ=6cm and PR=7cm. Draw a circle whose circumference touches the points P, Q and R.
    
    What is the radius of the circle?
    1. 1.8cm
    2. 2.5cm
    3. 3.5cm
    4. 7.0cm
16. The marked price of a table is sh 20000. The hire purchase price is 40% more than the marked price. Wasike bought the table on hire purchase terms by paying a deposit of sh 15000 and the balance in 5 equal monthly installments. How much was each monthly installment?
    1. Sh 7000
    2. Sh 5600
    3. Sh 4000
    4. Sh 2600
17. What is the Least Common Multiple of 24, 30 and 60?
    1. 6
    2. 120
    3. 180
    4. 540
18. A trader had a tonne of salt. He repacked the salt into equal number of 200g and 300g packets. How many packets did he get altogether?
    1. 40000
    2. 20000
    3. 4000
    4. 2000
19. Onyango earns a basic salary of sh 40000 per month plus a commission of 6% on the sale of goods above sh 50000. In one month he sold goods worth sh 300000. How much altogether did he earn that month?
    1. Sh 18000
    2. Sh 55000
    3. Sh 8000
    4. Sh 6100
20. A bus left town Q for town R a distance of 240km. It was driven at a speed of 80km/h. If it arrived at 2:40am, at what time did it depart from town Q?
    1. 11:40pm
    2. 5:40am
    3. 2:43am
    4. 2:37am
21. A rectangular tank measures 3m long, 2.8m wide and 2.5m high. What is the capacity of the tank in litres?
    1. 21
    2. 2100
    3. 21000
    4. 210000
22. In the triangle EFG below, bisect angle EGF to meet line EF at P.
    
    What is the length of line GP?
    
    1. 1.8cm
    2. 2.8cm
    3. 3.4cm
    4.  3.9cm
23. The median of eight numbers is 7. Seven of the numbers are 11,4,9,4,5,8 and 10. What is the eighth number?
    1.  6
    2.  8
    3.  10.
    4.  14
24. The price of a laptop decreased by sh 15000 to 25000. What was the percentage decrease?
    1. 66²/₃%
    2. 60%
    3. 40%
    4. 37½%
25. Wahondo performed as follows in a test;
    Maths 80%, English 75%, Kiswahili 85%. Science 70%, SSTRE 90%. If he represented his scores in a pie chart. How many more degrees would represent SSTRE than Maths?
    1. 9°
    2. 36°
    3. 72°
    4. 81°
26. The volume of a cylindrical tin is 2816cm³ and the height is 14cm. What is its diameter? (Take π=²²/₇ )
    1. 8cm
    2. 16cm
    3. 32cm
    4. 64cm
27. What is the value of x in the inequality
    5x − 20 > 3x + 8?
    1. x>14
    2. x < 14
    3. X>1½
    4. x<3½
28. The table below shows how three teams performed in sports competition. The number of times each team was placed in either 1^st, 2^nd or 3^rd position is as shown.
    

    	1st	2nd	3rd
    Star	3	2	1
    Elite	3	3	5
    Shine	2	4	2

    If 6 points were awarded for the first position, four points for the second position and 2 points for the third position. What was the total points scored by the three teams?
    1. 26
    2. 92
    3. 96
    4. 100
29. How many groups of a hundred are there the total value of the digit in the thousands position in the smallest six-digit number formed using the digits 4,3,0, 5, 7, 1?
    1. 30
    2. 40
    3. 3000
    4. 4000
30. Magelo and Olwande shared some fruits in the ratio 5:3 Magelo received 30 more fruits
    than Olwande. How many fruits did Magelo get?
    1. 18
    2. 45
    3. 75
    4. 120
31. Milkio sold some of his properties to three people as follows: Kavunga got ¼ while
    Meso got ¹/₆ while Kioko received ½ of the remainder. What fraction of the properties did he sell?
    
    1. ¹¹/₁₂
    2. ¹⁷/₂₄
    3. ⁵/₂₄
    4. ⁷/₂₄
32. Which one of the following sets of measurements will form a right angled triangle?
    1. 4cm, 5cm, 12cm
    2. 8cm, 15cm, 20cm
    3. 7cm, 12cm, 25cm
    4. 10cm, 24cm, 26cm
33. The figure below shows a stack of cubes. The stack was painted all over.
    
    How many cubes had paint on two faces only?
    1. 14
    2. 22
    3. 30
    4. 45
34. A plane reached town Q from town on a Sunday at 0240hrs after travelling for 6 hrs 55mins. On what day and time did it leave town R?
    1. Sunday 7:45am
    2. Sunday 4:15am
    3. Saturday 7:45pm
    4. Monday 4:15pm
35. The length of road is 4.5km. The road is represented on a map by 3cm. What is the scale of the map? 
    1. 1:1500000
    2. 1:150000
    3. 1:15000
    4. 1:500
36. In the triangle below angle ABD is 30° and CDE=40°. Angle CED is 55°
    
    What is the size of angle BAC?
    1. 55°
    2. 85°
    3. 95°
    4. 125°
37. At a function the number of women was twice that of men. The number of children was half the total number of men and women. The function was attended by 270 people. How many children attended the function?
    1. 180
    2. 120
    3. 90
    4. 60
38. The table below shows the postal charges in shillings for small packets in a certain year. 
    

    Mass of packet	East Africa	Rest of Africa	Rest of the world
    Not over 20g Not over 100g Not over 250g Not over 500g Not over 1kg Not over 2kg Each additional 1kg upto 5kg	49.00  98.00  187.00  319.00  529.00  728.00  364.00	54.00  170.00  214.00  375.00  618.00  850.00  430.00	68.00  154.00  275.00  482.00  768.00  1019.00  553.00

    Mutunga sent the following packets
    A 600g packet to Tanzania
    A 4kg packet to Nigeria
    A 260g packet to America
    How much did he pay altogether?
    1. Sh 2493
    2. Sh 2501
    3. Sh 2711
    4. Sh 2721
39. Twelve people can complete a piece of work in 20 days. How many more days will 8 people working at the same rate require to complete the same work?
    1. 30
    2. 18
    3. 10
    4. 6²/₃
40. The following properties describe a certain quadrilateral
    • Diagonals are not equal
    • Sum of interior angles is 360°
    • Has a pair of parallel sides
    • Diagonals do not bisect each other.
      Which quadrilateral has the above properties?
      1. Square
      2. Trapezium
      3. Rectangle
      4. Rhombus
41. The figure below represents a flower lawn.
    
    What is its perimeter? (Take π = ²²/₇)
    1. 32.4m
    2. 34.4m
    3. 41.4m
    4. 37.9m
42. The figure below shows a half cylindrical solid whose diameter is 28cm and length 50cm
    
    What is its surface area in square centimetres. (Take π=²²/₇ )
    1. 4256
    2. 4216
    3. 15400
    4. 30800
43. A rectangular plot of land is 80m long and the length of one diagonal is 100m. What is the area of the plot in hectares?
    1. 0.8
    2. 4.8
    3. 48
    4. 0.48
44. Makau bought f fruits. Obach bought 5q more fruits than Makau while Ongeri bought three times the total bought by both Makau and Obach. How many fruits were bought by the three people altogether?
    1. 8f +16q
    2. 8f+20q
    3. 6f + 15q
    4. 8f+10q
45. The graph below shows Sarah's journey from town A to town B.
    
    What was her average speed for the whole journey?
    1. 18km/h
    2. 22½ km/h
    3. 36km/h
    4. 45km/h
46. Special porridge is made by mixing sorghum and millet in the ratio 2:3. Sorghum costs sh60 per kg and millet costs sh40 per kg. If Aisha made 10kg of special porridge, how much money did she spend on sorghum and millet altogether?
    1. Sh 450
    2. Sh 240
    3. Sh 400
    4. Sh 480 
47. Muunda bought 40 plates for sh 4160. He sold all the plates at a profit of 120% How much did he sell cach plate?
    1. Sh 104
    2. Sh 124.80
    3. Sh 228.80
    4. Sh 152
48. Bongonko borrowed sh250000 from a bank that charged a simple interest at the rate of 20% per annum. How much interest did she earn altogether after 2 years?
    1. Sh 125000
    2. Sh 146000
    3. Sh 375000
    4. Sh 396000
49. Mutua left Machakos at 8:15am and took 1 hours to travel to Emali. He stayed in Emali for 2 hours then travelled back to Machakos. The time taken to travel back to Machakos was half the time taken to travel to Emali. At what time did he arrive at Machakos?
    1. 12noon
    2. 12:10pm
    3. 1:00pm
    4. 1:40pm
50. On triangle PQR drawn below, construct a perpendicular line from point to meet PR at S
    
    What is the size of angle SQR?
    1. 40°
    2. 45°
    3. 55°
    4. 145°

MARKING SCHEME

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