Mathematics Questions and Answers - Class 8 Mid Term Exams Term 1 2023 Set 3

QUESTIONS  

1. What is 808008.08 words.
   
   1. Eight million, eight hundred and eight and eight tenths
   2. Eight hundred and eight thousand and eight point zero eight
   3. Eight hundred and eight thousand and eight and eight hundredths 
   4. Eight thousand, eight hundred and eight and eight hundredths
2. What is half the sum of the LCM and GCD of 24, 48 and 72?
   
   1. 168
   2. 48
   3. 96
   4. 144
3. Work out: 4.932 − 1.445 +3.258 and give your answer correct to the nearest thousandths.
   
   1. 6.7450
   2. 6.74
   3. 6745
   4. 6.745
4. Evaluate
   5²(12 − 15 + 10)
            √25²
   
   1. 7
   2. 35
   3. 13
   4. 1.4
5. Work out the following
   ¾(½ + ²/₅ ÷ ¹/₃) − ¹/₅ × ³/₈ 
   1. 1¹⁹/₂₀
   2. ²/₅
   3. 1¹/₅
   4. ¹⁹/₂₀
6. A factory produced 20380 packets of tea leaves. Out of these, 6250 were 100g packets, 3324 were 250g packets, 1736 were 500g packets, 1kg packets were 900 fewer than the 100g packets. If the rest were 2kg packets, how many 2kg packets were there?
   1. 11310
   2. 9070
   3. 5350
   4. 3720
7. Arrange the fraction below from the smallest to the largest.
   ³/₇, ²/₅, ⁵/₈, ½
   1. ⁵/_8, ½, ³/_7, ²/₅
   2.  ½, ²/_5, ³/_7, ⁵/₈
   3. ³/_7, ²/_5, ½, ⁵/₈
   4. ²/_5,³/_7, ½, ⁵/₈
8. Evaluate: (x+3) − (x+4)
                      4           6
   1. x + 1
        12
   2. x − 1
        12
   3. x + 17
         12
   4. x − 17
        12
9. What is the value of:
   10.24 x 84.1
     5.8 x 0.032
   1. 46.4
   2. 4640
   3. 464
   4. 4.64
10. A family consumes three 2-litre packets of milk every day. How many decilitres of milk did the family consume in the months of May, June and July?
    1. 552
    2. 540
    3. 5580
    4. 5520
11. The figure below shows an entertainment arena. The unshaded area is the performance region and the shaded area is space for the audience. Calculate the area of the audience space?
    
    
    1. 5544m²
    2.  3080m²
    3. 2464m²
    4. 440m²
12. The table below shows vehicles passed through a road junction.
    

    Vehicle	Cars	Buses	Pick-ups	Matatu	Lorries
    Number	48	47	28	20	17

    If the above information is represented on a pie chart, what angle will represent the modal vehicle?
    1. 63°
    2. 108°
    3. 150°
    4. 160°
13. Find the total surface area of the figure below.
    
    1. 350m²
    2. 700m²
    3. 1000m²
    4. 600m²
14. What is the value of y in the equation below?
    2y − 4 +  y  = 4
        3         4
    1. 1⁹/₁₁
    2. 4⁸/₁₁
    3. 5⁹/₁₁
    4. 2¹⁰/₁₁
15. Find the radius of a circle whose circumference is 8.8 m
    1. 2.8m
    2. 28m
    3. 1.4m
    4. 14m
16. A tank containing water measures 30cm by 24 cm by 18cm. Calculate its capacity in litres when it is half full?
    1. 6.48 L
    2. 12960L
    3. 12.96L
    4. 12960000L
17. Calculate the total surface area of the pipe below. Its diameter is 20cm. (Use pie as 3.14)
    
    1. 9420cm²
    2. 628cm²
    3. 942cm²
    4. 1570cm²
18. Calculate the area of triangle XYZ
    
    1. 60cm²
    2. 150cm²
    3.  75m²
    4. 84cm²

Use the pattern below to answer question 19

19. What will be the sixth shape?
    
20. What is the area of the shaded region?
    (Take Pie as ²²/₇)
    
    
    1. 15.8cm²
       B. 13.90cm²
       C. 1.68cm²
       D. 7.84cm
21. The marked price of pair of shoes was sh. 3600. After getting a discount, Maina paid sh, 3000. What was the percentage discount?
    
    1. 83¹/₃%
    2. 17%
    3. 16²/₃%
    4. 600%
22. The charges for sending a telegram is sh. 8 for 10 words or less. Additional words cost sh.0.80. Calculate the cost of sending the telegram below if the government tax is 16%
    ODUAL JOHN BOX 234 NAKURU
    SEND FARE SCHOOL OPENING SOON
    MUZIOKI
    1. Sh. 8.80
    2. Sh. 10.21
    3. Sh. 10.20
    4. Sh. 7.40
23. The cash price of a electric cooker is shs. 20000. The hire purchase is 30% higher than the cash price. Mary bought it on hire purchase by paying a deposit and 8 equal monthly installments of sh. 2400 each.How much did Mary pay as deposit?
    
    1. Sh. 6000
    2. Sh. 19200
    3. Sh.13000
    4. Sh. 6800
24. Temperature of ice cream cools at the rate of 4°C per minute(4°C/min) .If the reading taken at 12.00 noon was 88°C. What time will it read 60°C?
    1. 11.53 pm
    2. 12.28 pm
    3. 11.53 am
    4. 12.07 pm
25. A car travelling at 36km/hr take ½ minute to cross a bridge. What is the length of the bridge in metres?
    1. 300m
    2. 600
    3. 120m
    4. 480m
26. In the figure below AE is parallei to Fl. Angle GDA 35° and angle DHI= 130°
    
    Work out the value of angle BGD
    1. 15°
    2. 35°
    3. 50°
    4. 95°
27. Tap W takes 6 hours to fill a tank with water. Tap Z takes only 4 hours to fill the same tank alone. What fraction of the tank will be filled by both taps in 2 hours, if they are opened together at the same time?
    1. ½
    2. ²/₁₂
    3. ⁵/₆ 
    4. ¹/₁₀ 
28. Which statement is correct in the figure below?
    
    1. Angle u correspond with angle q
    2. Angle r is alternate to angle w
    3. Angle t is alternate to angle v 
    4. Angle v correspond with angle w
29. Using a pair of compass and a ruler, draw line WY 6cm from Y extend the line by 2cm and mark it Z. Drop a perpendicular line through Y. Mark point X 5cm and above Y. Join X to Z and XW.
    What is a half of angle WXZ?
    1. 680
    2. 500
    3. 120
    4. 360
30. After what period will shs. 22,000 yield a simple interest of sh. 2750 at the rate of 5% per annum?
    1. 12½ years
    2. 30 months
    3. 2½ months
    4. 2 years 5 months
31. Last year in a certain school the number of pupils were 720. This year the number of pupils has increased by 20%. How many pupils are in that school this year?
    1. 144
    2. 576
    3. 864
    4. 764
32. The area of the figure below is 100cm².
    
    What is the length of the longest parallel side?
    1. 18cm
    2. 44cm
    3. 26cm
    4. 32cm
33. How many cylindrical tins of diameter 7cm and height 15cm can be arranged standing in a box measuring 28cm, 56cm and 75cm as shown below?
    
    
    1. 202
    2. 40
    3. 160
    4. 577
34. Silas used a 20m ladder to climb on top of a wall. The bottom of the ladder was 12m away from the botttom of the wall. Howe many metres high was the wall?
    1. 16
    2. 17
    3. 15
    4. 18
35. Kalonzo thought of a number, multiplied it by 2 , and then added 5. He then doubled the result. His answer was 22. What was the number?
    1. 1
    2. 3
    3. 22
    4. 8
36. The tablr below shows the ages of chldren in a class. What is their average age?
    

    Number of children	5	10	15
    Age in years	10	11	12

    1. 33 years
    2. 11½ years
    3. 11¹/₃ years
    4. 11¼ years
37. The following are properties of a certain quadrilateral.
    1. Sum of angles is 360°
    2. Diagonals bisect the interior angles
    3. Opposite sides are parallel
    4. Diagonals bisect each other at 90°
       Which one of the following quadrilaterals has all of the above qualities?
       1. Rectangle
       2. Trapezium
       3. Parallelogram
       4. Rhombus
38. Which one of the following nets will not form a cube?
    
39.  If a = 2, b = a+3, c = b−a, and d = b+c find the value of
    (a+b+d) 3
       a+d−1
    1. 3
    2. 9
    3. 5
    4. 15
40. Find the size of the angle marked Z.
    
    1. 350
    2. 75°
    3. 110°
    4. 145°
41. A man is 3 times as old as his daughter, and 2 times as old as his wife. If the daughter is y years old, form an equation to show their total ages in 10 years from now
    1. 11y + 30
    2. 5½y+30
    3. 4y+ 30
    4. 10y+ 30
42. Simplify the inequality given below
    ^x/₃ +  x+2 > 2
                5
    1. x = 8
    2. x > 3
    3. x <3
    4. x = 3
43. 
    
    The above line shows a section of a road that was drawn to the actual scale of 1:250000.How long was the road section in km?
    1. 12.5km
    2. 125km
    3. 1.25km
    4. 1250km

Use the ngraph below to answer question 44

44. From the graph above, work out the mean rainfall recorded
    1. 110mm.
    2. 70mm
    3. 80mmm
    4. 60mm
45. Three bells ring at intervals of 15min, 30min and 50min. If they ring together at 8.15am. What time will they ring together again?
    1. 9.45am
    2. 11.00am
    3. 10.45am
    4. 9.15am
46. A school enrolment increased in the ratio of 4:5 in the year 2013 and decreased in the ratio of 5:3 in the year 2014.How many pupils enrolled in the year 2014 if the enrollment of the year 2012 was 300 pupils?
    1. 180
    2. 375
    3. 225
    4. 220
47. The diagram below represents a flower garden. Four strands of wire was used to fence the garden. What was the cost of the wire if one metre cost shs. 175? 
    
    1. sh. 3120
    2. sh. 546 000
    3. sh. 136 500
    4. sh. 570 500
48. Three men take 5 days to dig a piece of land.How long will 2 men take working at the same rate?
    1. 15 days
    2. 3½ days
    3. 7 days
    4. 7½ days
49. An agent is paid sh. 7000 as a basic salary and 12% commission on sales above sh. 10,000. How much was the total sales in a month if his total earnings were sh. 14200.
    1. sh. 60,000
    2. sh. 50,000
    3. sh. 70,000
    4. sh. 17,200
50. The graph below shows a motorists's journey through a various towns
    
    What is the motorists speed from town B to C?
    1. 72²/₉ km/hr
    2. 50km/hr
    3. 166²/₃ km/hr
    4. 60km/hr

MARKING SCHEME

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