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

QUESTIONS

1. What is the sum of nine million seventy eight thousand seven hundred and sixty nine and eight hundred and sixty nine thousand eight hundred and forty seven written in words?
   1. One million eight hundred and forty eight thousand six hundred and sixteen.
   2. Ninety nine million four hundred and eighty six thousand six hundred and sixteen.
   3. Nine million eight hundred and thirty seven thousand five hundred and six.
   4. Nine million nine hundred and forty eight thousand six hundred and sixteen.
2.  What is the place value of digit 8 after working out the product of 0.857 and 7.24?
   1. Ones
   2. Eight hundred thousandths
   3. Hundred thousandths
   4. Ten thousandths.
3. What is the value of,
   3(7²+5²)-7
        3²-4
   1. 43
   2. 45
   3. 44
   4. 421
4. Etyang joined six equal square papers of side 13cm to make one big rectangle. What was the perimeter of the rectangle formed?
   1. 52cm
   2. 130cm 
   3. 312cm 
   4. 104cm
5. Which is the least number that can be divided by 14, 28, 35 and 56 without a remainder?
   1. 7
   2. 140
   3. 280
   4. 560
6. Which of the following expressions is correct?
   1. ¹/₄ of ¹/₂ > ³/₄
   2. ⁸/₉ > ⁴/₅
   3. ²/₃ = ⁴/₉
   4. 37.92 + 0.854 < 50 - 12.236
7. What is 600217 rounded off to the nearest hundred thousand?
   1. 0
   2. 600000
   3. 1000000
   4. 100000
8. Arrange the following fractions in ascending order.
   ¹/₅ , ²/₃ , ⁴/₅ , ³/₄
   1. ¹/₅, ²/₃, ³/₄,⁴/₅
   2. ¹/₅, ⁴/₅, ³/₄,²/₃
   3. ¹/₅, ²/₃, ³/₄,⁴/₅
   4. ⁴/₅, ³/₄, ²/₃,¹/₅
9. In the figure below, line XY is parallel to line TZ. Line XT-XY. Line XZ and TY are transversal. Angle YTZ-30°. What is the size of angle TXY?
   
   
   1. 110°
   2. 80°
   3. 60°
   4. 120°
10. What is the simplified form of the inequality below?
    3x-4 > 2x-3
       5        3
    1. x<3
    2. x>3
    3. x<27
    4. 27>7
11. Diana packed 300 textbooks in a box. The total mass of the box became 52kg. What was the mass of each textbook if the mass of an empty box was 2.8kg?
    1. 49.2kg
    2. 164g
    3. 173¹/₃g
    4. 18400g
12. Three brothers Mulandi, Mutuku and Mutheru saved sh. 35, sh.24 and sh. 42 respectively on daily basis from their business. How much money did they save in the month of June, July and August altogether?
    1. Sh. 9292
    2. Sh. 101
    3. Sh. 3255
    4. Sh. 9393
13. A wheel covers a distance of 7.04km after making 2000 revolutions. What is the radius of the wheel?
    1. 56cm
    2. 88cm
    3. 352cm
    4. 112cm
14. A box measures 30cm long, 12cm wide and 15cm deep. What is its outer surface area if it is open on both the top and bottom?
    1. 450cm²
    2. 5400cm²
    3. 1260cm³
    4. 630cm²
15. The figure below shows a circle drawn inside a square.
    
    What is the area of the unshaded part?
    1. 42cm²
    2. 658cm³
    3. 616cm²
    4. 126cm²
16. What is the value of k in the equation?
    2(k-6) = 2
        5       3
    1. 7²/₃
    2. 7
    3. 2²/₃
    4. 11
17. Amani left home for a journey on 11th February 2020 and returned back to his home after 40 days. On which day and month did he return home? 
    1. March 23rd
    2. March 22nd
    3. March 11th
    4. March 21st
18. A hawker sold 2 pairs of leather shoes for sh. 3630. If he made 10% profit, what was the buying price of one pair of shoes?
    1. Sh. 3300
    2. Sh. 1815
    3. Sh. 3620
    4. Sh. 1650
19. A county government distributed sh. 213512 equally among 52 families. How much money did each family get? 
    1. Sh. 4016
    2. Sh. 4160
    3. Sh. 4106
    4. Sh. 416
20. The price of sugar was sh.7300 in December. It was decreased in the ratio 3:4. What was its new price after the decrease?
    1. Sh. 5475
    2. Sh. 7266
    3. Sh. 9733.33
    4. Sh. 6475
21. The distance between two towns on a map is 7.8cm. If the scale used is 1:20000, what is the actual distance between the two towns in metres? 
    1. 15.6m
    2. 1560m
    3. 15600m
    4. 156000m
22. The following are properties of quadrilaterals.
    1. Interior angles add up to 360° 
    2. Diagonals are equal.
    3. Have two pairs of parallel lines.
    4. Opposite sides are equal.
    5. Co-interior angles add up to 180°.
    6. Diagonals bisect at right angles.
       Which of the above properties applies to both rhombus and a rectangle? 
       1. (i), (ii) and (iii).
       2. (i), (ii) and (v)
       3. (i), (iii) and (v)
       4. (iii), (v), and (vi)
23. The perimeter of the isosceles triangle below is 64cm. What is its area?
    
    
    1. 60cm²
    2. 300cm²
    3. 168cm²
    4. 25cm²
24. What is the value of
    ⁵/₈ + ²/₃ of (¹/₃ - ¹/₆) + ²/₉
    1. 1¹/₈
    2. 1⁵/₈
    3. 2⁵/₈
    4. 1¹⁵/₁₆
25. A shopkeeper bought 10 trays of eggs at sh. 255 per tray. 45 eggs broke and sold the rest making a profit of 20%. What was the selling price of each egg if a tray holds 30 eggs?
    1. Sh. 45
    2. Sh. 10
    3. Sh. 18
    4. Sh. 12
26. What is value of 4y²+5bk-k²y when y=b+3,k-y-2 and b=5?
    1. 118
    2. 128
    3. 406
    4. 2960
27. The figure below represents a semi- circular flower garden. If flowers were planted at regular intervals of 2m apart round the flower garden, how many flowers were planted?
    
    
    1. 54
    2. 27
    3. 28
    4. 108
28. Wema hired 11 men to dig his piece of land in 16 hours. How many more hours did it take to complete the job if 3 men did not turn up?
    1. 22
    2. 7
    3. 6
    4. 108
29. An aeroplane took 6 hours 48 minutes to travel from Accra to Nairobi. If it reached Nairobi at 0600hrs on Friday, On which day and time had it left Accra in am/pm clock system?
    1. Tuesday 2:45pm
    2. Thursday 11:12pm
    3. Friday 12:48pm
    4. Thursday 11:12am
30. Construct triangle XYZ in which line XY-7cm, YZ-8cm and angle XYZ-80°. Draw a circle touching points X, Y and Z of the triangle. What is the radius of the circle?
    1. 4.6cm
    2. 2.5cm
    3. 2.9cm
    4. 5.0cm
31. Mulwa shared his piece of land among his three sons and wife. The first son got two fifth of the land, the second son received a third of the land, the last son received three quarter of the remainder and his wife received the rest. If his wife received Sha of land, what was the total size of land given to all the sons?
    1. 80ha
    2. 75ha
    3. 70ha
    4. 85ha
32. Zakaria deposited sh.276000 in a bank that offered simple interest at the rate of 13% p.a. How much money did he earn if he withdrew all his money after 1¹/₄ years?
    1. Sh. 448500
    2. Sh. 320850 
    3. Sh. 231150
    4. Sh. 4485000
33. A school has 630 children. Each child is given two-2dl packets of milk every Monday, Wednesday and Thursday.
    How many litres of milk do they consume in one week?
    1. 75.6L
    2. 7560L
    3. 756L
    4. 7.56L
34. The floor of an office measures 19m by 14m. A carpet is laid in the office leaving a uniform margin of 3m all round. What is the area of the floor not covered by the carpet?
    1. 90m²
    2. 104m²
    3. 266m²
    4. 162m²
35. Which of the following numbers is divible by 11?
    1. 44737
    2. 55731
    3. 61641
    4. 88537
36. What is the sum of the next two numbers in the pattern? 1, 15, 37, 67,..................
    1. 46
    2. 84
    3. 130
    4. 256.
37. The hire purchase of a machine is 30% more than the cash price. Janet paid 8 monthy instalments of sh.1500 each. How much deposit did she pay if the cash price was sh. 12000?
    1. Sh. 4000
    2. Sh. 15600
    3. Sh. 3600
    4. Sh. 40000
38. A watch loses 5seconds every hour. If it is set right on Saturday at 11:00am, what time will it show after one week? 
    1. 11:14am
    2. 10:46am
    3. 11:14pm
    4. 10:46pm
39. Jembe bought the following items from a shop.
    -5 tins of cooking oil@sh. 180 3 loaves of bread for sh.180
    -6 kilograms of rice @ sh.115
    -4-500ml packets of milk @ sh. 65 per litre.
    If he received a balance comprising of five 20 sh. coins, how much money did he give to the shopkeeper?
    1. Sh. 1900
    2. Sh. 3000
    3. Sh. 2030
    4. Sh. 2000
40. The table below shows the number of pupils and their favourite meals.
    

    Meal	Meat	Beans	Ugali	Chips	Githeri
    No. Pupils	10	12	6		4

    If there were 48 pupils in the class, what angle would represent those who chose chips on the pie chart?
    1. 120º
    2. 108º
    3. 75° 
    4. 105º
41. Joolo is six years younger than Jona and two years older than Ekipi. If Joolo is x years old now, which of the following expressions represents the sum of their ages 5 years to come? 
    1. (3x+15) years
    2. (3x+19) years
    3. (3x+21) years
    4. (3x-19) years
42. A rectangular piece of land measuring 12m by 5m has the same area as another triangular plot with a perpedicular height of 8m. What is the length of the base of the triangular plot?
    1. 17m
    2. 7¹/₂m
    3. 15m
    4. 30m
43. What is the value of
       0.64 x 4.8  
      0.8 x 0.012
    1. 0.32
    2. 0.032
    3. 32
    4. 320
44. The cylinder below has a volume of 9240cm³. If its height is 15cm, what is its diameter?
    
    
    1. 14cm
    2. 196cm
    3. 28cm
    4. 32cm
45. Ombina gets a 25% loss if he sells an article at sh. 225. At what price should he sell it to make a profit of 15%? 
    1. Sh. 300
    2. Sh. 258.75
    3. Sh. 120
    4. Sh. 345
46. How many more cubes are needed to fill the box below?
    
    
    1. 22
    2. 50
    3. 60
    4. 10
47. Which of the following measurements can be used to construct a right-angled triangle?
    1. 4¹/₂ cm, 6cm,9cm
    2. 3³/₄ cm, 5¹/₄ cm, 6cm
    3. 9cm, 12cm, 15cm
    4. 5¹/₄ cm, 9cm, 11¹/₄ cm
48. The diagram below shows a net of a solid.
    
    What is the sum of vertices and edges of the solid formed when the net is folded?
    1. 15
    2. 21
    3. 20
    4. 26
49. The average mass of 6 boys is 54kg. When the mass of their teacher is added, their mean mass becomes 56kg. What is the mass of their teacher?
    1. 56kg
    2. 68kg
    3. 78kg
    4. 80kg
50.  The bar graph below shows a journey of two motorists from town R to town T.
    
    How far from town R was the lorry when the car completed the journey?
    1. 20km
    2. 180km
    3. 160km
    4. 120km

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