Questions

1. Which of the following numbers is eight million four  hundred and four and twenty seven thousandths in symbols?
   
   1. 80000404.027
   2. 8000404.027 
   3. 8404000.027
   4. 8004004.027
2. What is the total value of digit 9 in the value of; 4.753 x 0.189?}
   
   1. 0.9
   2. 0.09
   3. Hundredths
   4. Thousands
3. What is the value of;
   √6¹/₄ + (3/2)²?
   1. 14¾
   2. 14¼
   3. 12½
   4. 10¾
4. What is the Greatest Common Divisor of 72,96
   12cm and 108? 
   1. 36
   2. 24 
   3. 18
   4. 12
5. What is the value of;
   24 + 16 – 72 ÷ 6² x 2 ?
          24 - 2 
   
   
   1.  54
   2. 1¹/₃
   3. 12
   4.  3
6. Arrange the following fractions in an ascending order;
   ⁷/₁₂, ⁶/₇, ⁴/₅ and ²/₃
   1. ²/₃ , ⁴/₅ , ⁶/₇ , ⁷/₁₂
   2. ⁷/₁₂ , ⁶/₇ , ⁴/₅  , ²/₃  
   3. ⁷/₁₂ , ²/₃ , ⁴/₅ , ⁶/₇  
   4. ⁷/₁₂ , ²/₃ , ⁶/₇ , ⁴/₅ 
7. What is the value of;
   144108 ÷ 18?
   1. 86
   2. 806
   3. 8006
   4. 80006
8. A square piece of land has an area of 1936m².  What is its perimeter?
   1. 176cm
   2. 84cm
   3. 44cm
   4. 288cm
9. What is the area of the triangle drawn below?
    
   1. 32cm²
   2. 48cm²
   3. 60cm²
   4. 24cm²
10. What is the value of;
    1½ + (2¼ x 3½ of 12 ÷ ¾)?
    1. 126
    2. 127½
    3. 210
    4. 72
11. What is the value of q in the equation below?
    ³/₈(2q + 2) = 6? 
    1. 7
    2. 3¹/₅
    3. 2¹/₃
    4. 2
12. Mbeja spends 1/3, of his salary on school fees, 1/4 on food and 1/5 of the remainder on rent and saves the rest. If he earns sh.48000 per month, how much does he save?
    1. Sh.4000
    2. Sh.5600
    3. Sh.20000
    4. Sh.22400
13. What is the square root of the next number in the sequence below?
    15, 27, 42, 60, _ _?
    1. 11
    2. 9
    3. 13
    4. 10
14. In a school, there are 720 pupils. Each pupil takes 2-2dl packets of milk twice in a week. How much milk in litres do they consume in a week?
    1. 5760
    2. 576
    3. 2880
    4. 288
15. Josephine sold a dress for sh.9000, making a profit of sh.1800. What was her percentage profit?
    
    1. 10%
    2. 15%
    3. 20%
    4. 25%
16. The figure below shows a window frame.
    
    What is the perimeter of the frame? (π=22/7)
    
    1. 660mn
    2. 580m
    3. 440m
    4. 420m
17. What is the value of;
        3.6 x 9.6 x 1.6    
      4.8 x 2.4 x 0.01
    
    1. 480
    2. 48
    3. 4.8
    4. 0.48
18. Which one of the following sets of measurements can be used to construct a right angled triangle?
    1. 14cm, 24cm, 52cm
    2. 15cm, 36cm, 54cm
    3. 24cm, 32cm, 48cm
    4. 16cm, 30cm, 34cm
19. What is the smallest number that must be subtracted from 378476 to make it divisible by 11?
    1. 1
    2. 10 
    3. 8
    4. 9
20. Mwangi packed 2½ tonnes into 500g packets. How many packets did he get?
    
    1. 5
    2. 50
    3. 500
    4. 5000
21. In the figure below, ABC is a straight line. Line BD is parallel to line GC. Angle ABD = 66° and  angle BDE = 50°.
    
    What is the size of the angle marked q?
    1. 130°
    2. 114°
    3. 66°
    4. 50°
22. A staff meeting started at 9.40am. The first session took 2 hours before going for ¼ hour tea break. The second session took 2hrs 20 minutes. At what time in 24 hour clock system did the meeting end?
    1. 0205hrs
    2. 1405hrs
    3. 1415hrs
    4. 1305hrs
23. What is the value of;
    (w² - xy)+1/xy²
    given that x= 4, y=x-1 and w=2y?
    1. 60
    2. 42
    3. 36
    4. 24
24. What is the simplified form of the expression
    5x-6-X <2x + 12?
    1. X<9
    2. x>9
    3. x<3
    4. X>3
25. Construct triangle ABC such that line AB = 6cm,  line BC = 6.5cm and angle ABC = 50°. Draw a circle touching all the vertices A, B and C. What is  the radius of the circle?
    1. 3.5cm
    2. 4.2cm 
    3. 7cm
    4. 8.4cm
26. A trader made a loss of sh.12500 after selling an item. This represents 5% of the marked price. What  was the marked price of the item? 
    1. Sh.200000
    2. Sh.150000
    3. Sh.250000
    4. Sh.175000
27. What is the perimeter of the figure drawn below?
    
    
    1. 72m
    2. 66m
    3. 56m
    4. 48m
28. A motorist covered a distance of 756km in 7 hours.
    What was his travelling speed in m/s?
    1. 40m/s 
    2. 30m/s
    3. 108m/s
    4. 20m/s
29. A watch gains 10 seconds every hour. How many minutes will the watch gain in 12 days?
    1. 2 minutes
    2. 5 minutes
    3. 10 minutes
    4. 48 minutes
30. The figure below shows a rectangular water tank.
    
    How many litres does it hold when it is 2%, full?
    1. 500 .
    2. 800
    3. 1500
    4. 4000
31. Remove the brackets and simplify the expression below; ³/₄=/(4a + 2²/₃) + ¹/₃(6a -9).
    
    1. 5a + 2
    2. 5a +5 
    3. 5a-5
    4. 5a - 1
32. Lucia deposited sh.20000 in a bank that charges compound interest at the rate of 10%p.a. How much was in her account at the end of 2 years?
    1. Sh.12100
    2. Sh.24200 
    3. Sh.4000
    4. Sh.24000
33. What is the surface area of the solid shown below?
    
    (Take t = 22/7)
    1. 594cm²
    2. 774cm²
    3. 797cm²
    4. 874cm²
34. How many nights were there between 17 July and 17th September the year 2020? 
    1. 59
    2. 60
    3. 61
    4. 62
35. Ooko bought the following items from a shop;
    1. 2kg of sugar @ sh.140
    2. 3kg of maize flour for sh.360
    3. 4-50g packets of tea leaves @sh.20 per packet
    4. 2 ½ litres of cooking oil at sh.40
       How much balance did he get from sh.1000?
       1. Sh.60
       2. Sh.160
       3. Sh.310
       4. Sh.690
36. What is the distance around the figure drawn below?
    
    
    1. 220m
    2. 210m
    3. 160m
    4. 150m
37. What is the product of the LCM of 8 and 12 and the HCF of 36 and 54?
    1. 2040
    2. 432
    3. 72
    4. 42
38. Which one of the following statements is true about a trapezium?
    1. All sides are equal
    2. Opposite sides are parallel
    3. Opposite angles are equal
    4. Has a pair of parallel lines
39. Twelve men can do a certain job in 54 days. How many more men are needed for the job to be completed in 18 days?
    1. 6
    2. 18 
    3. 24
    4. 36
40. The mass of an empty bus is 8 tonnes. When carrying 60 passengers, the mass of the bus is 12.8tonnes. What is the mean mass of each passenger?
    1. 60kg
    2. 70kg
    3. 80kg
    4. 120kg
41. In the figure below, line BE is equal to BD. Angle BAF = 45° and angle AFE = 76°.
    
    What is the size of the angle labelled w?
    1. 135°
    2. 121°
    3. 118°
    4. 62°
42. The hire purchase price of a motorbike is sh.120000. Tobias bought it on hire purchase by paying a deposit of sh.26250 and the balance in 5 equal monthly monthly instalments. How much money was paid in each instalment?
    1. Sh.15250
    2. Sh.18750
    3. Sh.19250
    4. Sh.29250
43. A saleswoman earns sh.200 for every value of goods worthy sh.1000 she makes. In one month she sold 1500 exercise books at sh.120 each. What was her commission that month?
    1. Sh.300
    2. Sh.36000
    3. Sh.18000
    4. Sh.54000
44. What is the product of the number of vertices and edges of an open rectangular prism?
    1. 48
    2. 60
    3. 72
    4. 96 
45. The pie chart below shows how Dismas stocked different types of drinks in his shop.
     
    He bought a total of 72 bottles of the drinks. How many more Coke bottles than Fanta bottles did he buy?
    1. 30
    2. 18
    3. 12
    4. 6
46. Joy paid sh.28000 for printing papers after she was given a discount of 20%. How much discount was she given?
    1. Sh.7000
    2. Sh.5600
    3. Sh.3500
    4. Sh.2800
47. A section of a road measuring 0.9km is represented on a map by a line measuring 4.5cm long. What is the scale used?
    1. 1:200
    2. 1:2000
    3. 1:20000
    4. 1:200000
48. There are 720 pupils at Nyatindo Primary School. The ratio of girls to boys is 3:2. How many more girls than boys are there in the school?
    1. 432
    2. 288
    3. 240
    4. 144
49. Beatrice bought y sweets. Benta bought 3 more sweets than Beatrice. Brenda bought twice as many sweets as both Beatrice and Benta. How many sweets did the three girls buy altogether? 
    1. (6y+3)
    2. (2y +9)
    3. (6y + 4)
    4. (6y +9)
50. The graph below shows Nyoike's journey from town R to Q and back. 
    
    What was his average speed for the whole journey?
    1. 75km/hr
    2. 80km/hr
    3. 100km/hr
    4. 50km/hr

Marking Scheme

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