Mathematics Questions and Answers - Class 8 Term 2 Opener Exams 2022 Set 2

QUESTIONS

1. What is twenty two million two hundred ar two thousand two hundred and two and two hundredths written in figures?
   1. 20202202.02
   2. 22202202.02
   3. 22202202.2 
   4. 22202022.02
2. How many groups of tenths in the total valu of digit five in the number 345.69?
   1. 50
   2. 5
   3. 500
   4. 0.5
3. What is the place value of digit 7 obtained after working out 0.03:40?
   1. Hundredth 
   2. Thousandth 
   3. Tenths
   4. Ten thousandth
4. Work out;
   3(4² - 3²) + 20 ÷ 5 - 2 x 5 + 1 
   1. 16
   2. 27 
   3. 7
   4. 8
5. During a wedding ceremony children were twice the number of adults. Women were twenty more than men. If the children were 248, how many men attended the wedding? 
   1. 124
   2. 62 
   3. 52
   4. 72
6. What is the value of; ⁴/₅ + ¼ (½ - ¹/₅) of ³/₈ ÷ ¼ 
   1. ¹⁸⁹/₄₀₀
   2. ⁷³/₈₀
   3. ²¹³/₈₀
   4. ¹⁸⁹/₄₀
7. Round off 5799.9996 to the nearest thousandth 
   1. 5800.000 
   2. 5799.000 
   3. 5799.999
   4. 5800
8. Eighty one electricity poles were used to supply electricity between two towns at an interval of 50 m. Find the distance from the firs to the last pole in km 
   1. 4.1 km
   2. 4100 km
   3. 40 km
   4. 4 km
9. Calculate the area of the shaded part.
   
   
   1. 56 cm²
   2. 120 cm²
   3. 184 cm²
   4. 64 cm²
10. What is the sum of the next two numbers in the pattern; 5, 9, 18, 34, 59, 
    1. 176
    2. 239
    3. 144
    4. 154
11. Sheila spends ¼ of her salary on rent ¹/₃ on food and ²/₃ of the remainder on school. If she saves the rest, what fraction of the salary is her savings?
    1. ⁵/₁₈
    2. ²/₅
    3. ¹³/₁₈
    4. ⁵/₃₆
12. A section of a road 17.5 km is represented by a line 3.5 cm on the map. Find the scale on the map. 
    1. 1:500000
    2. 1:5 
    3. 1:50000
    4. 1:5000
13. Simplify: ¼ of 2r² - wp
                      tw - wp
    if r=p+2, t=5, p=4, w-p-2 
    1. 10
    2. 3.6
    3. 5
    4. 28
14. Find the measure of the obtuse angle QRS in the figure below.
    
    
    1. 197º
    2. 163º
    3. 207º
    4. 183º
15. The fare from Meru to Nairobi was increased from sh 600 to sh 800 during the christmas holiday. What was the ratio increase? 
    1. 3:4
    2. 30:4
    3. 40:3
    4. 4:3
16. A wheel made 2000 revolutions and covered a distance of 3.52 km. Calculate the radius of the wheel 
    1. 56 cm
    2. 42 cm
    3. 28 cm
    4. 21 cm
17. Which statement is true? 
    1. 0.8 = ⁸/₉
    2. ⁸/₉>0.8
    3. 0.8>⁸/₉
    4. ⁸/₉<0.8
18. In Butengi Primary School the ratio of girls to boys is 5:3. There are 180 less boys than girls. How many pupils are in the school? 
    1. 450
    2. 600
    3. 720
    4. 800
19. A watch gains 12 seconds every hour. It was set right on Monday at 2.00 pm. What time did it show after 10 hours? 
    1. 12.02 am
    2. 11.58 pm 
    3. 12.02 pm
    4. 4.00 pm
20. The height of the tank below is 1.2 m. It has water upto a depth of 70 cm. How many litres are needed to fill the tank?
    
    
    1. 144 L
    2. 6L
    3. 84 L
    4. 60 L
21. Simplify;
    4(3y + 4x) - 3(2y + 3x)
    1. 6y + 25x
    2. 6y + 7x
    3. 18y + 25x
    4. 6y - 7x
22. A trader bought 200 cabbages for sh 10 per cabbage. He used sh 240 for lunch and transport. On the way 20 cabbages were spoilt and he sold the rest at sh 18 per cabbage. Calculate his profit. 
    1. sh 1000
    2. sh 5240
    3. sh 2240
    4. sh 1240
23. David earns sh 25500 after working for 30 days. How much less will he earn if he is absent for 6 days?
    1. sh 30600
    2. sh 20400
    3. sh 5100
    4. sh 6200
24. The figure below shows a table mat made of cotton material.
    
    Calculate the area of material used to make it? 
    1. 342 cm²
    2. 1162 cm²
    3. 1540 cm²
    4. 770 cm²
25. Which of the following measurements will form a right angled triangle?
    1. 5m, 1.2m, 1.3m
    2. 0.3m, 0.4m, 5m
    3. 1.2m, 1.6m, 2.5m
    4. 1m, 2.4m, 2.6m
26. By selling a jacket for sh , Dan gave the customer a 10% discount. How much more would the customer have paid if the discount was 7%?
    1. sh 45
    2. sh 1500
    3. sh 105
    4. sh 1395
27. Convert 12 % into a ratio
    1. 1:8
    2. 1:80
    3. 1:4
    4. 1:40
28. Calculate the volume of the solid below in cubic centimetres. (x = ²²/₇)
    
    
    1. 4620
    2. 1234
    3. 2310
    4. 420
29. Solve for m in the equation; ^m/₂ + ^m+1/₄ = 4
    1. 8
    2. 5¹/₃
    3. 7½
    4. 5
30. Oloo deposited sh 30000 in a bank that paid simple interest at the rate of 5% per month. How much interest was in his account at the end of 1 year and 2 months? 
    1. sh 21000 
    2. sh 51000 
    3. sh 1750
    4. sh 31750
31. Monica is twice as old as her daughter. The daughter is 5 years older than the brother. In five years time the sum of their ages will be 90. If the brother is n years old, how old is the mother now?
    1. 25
    2. 65
    3. 45
    4. 40
32. Work out; 4.5 x 2.4 ÷ 0.8 - 2.7
                           0.35 +0.55 
    1. 1.2
    2. 12
    3. 120
    4. 24
33. The hire purchase price of a fridge is 20% more than the cash price. The cash price is sh 20000. Henry bought it by paying a deposit of sh 8000 and the rest in instalments of sh 800 per month. For how long did he pay for the fridge?
    1. 15 months . 
    2. 14 years
    3. 1 years
    4. 16 months
34. Thirty men can clear a piece of land in 20 days. How much longer would it take to clear the land if six men failed to turn up? 
    1. 25
    2. 10
    3. 5
    4. 8
35. In the figure below PQ and RS are parallel lines.
    
    Find the measure of angle EFD. 
    1. 72º
    2. 122º
    3. 108º
    4. 100º
36. A driver was to cover a 350 km journey driving at a speed of 70km/hr. He started at 0830 hours, expecting to arrive on time. However, he had to stop after driving for two hours to refuel and take lunch which took 30 minutes. At what speed must he drive to arrive at the expected time?
    1. 84km/h
    2. 105 km/h
    3. 100 km/h
    4. 70 km/h
37. A piece of land measures 100 m by 50m. It is fenced using 5 strands of wire leaving a distance 10 metres for the gate. Calculate the length of wire used. 
    1. 300 m
    2. 5000 m
    3. 1500 m
    4. 1450 m
38. Calculate the area of the rhombus. The diagonal line LM is 60 m.
    
    
    1. 2400 m²
    2. 3000 m²
    3. 1200 m²
    4. 6000 m²
39. A bus arrived in Nairobi at 4.40 am on Monday after travelling for 8h 30 minutes from Mombasa. On which day and time had the bus left Mombasa? 
    1. Sunday, 8.10 am 
    2. Sunday, 8.10 pm 
    3. Monday, 8.10 am 
    4. Monday, 8.30 pm
40. Kamau bought the following items from a shop;
    3½kg of rice @sh120
    1½kg of meat @sh 240
    2 loaves of bread @sh 50
    2-2kg packets of unga @ sh 110
    What balance did he get if he paid for the items using 3-sh 500 notes? 
    1. sh 1100
    2. sh 1210
    3. sh 290
    4. sh 400
41. Construct triangle PQR where line PQ = 9cm, QR-12 cm and angle PQR is a right angle. Draw a circle touching the sides of the triangle. Measure hthe radius.
    1. 3 cm
    2. 3.5 cm
    3. 6 cm
    4. 7 cm
42. The diagonal of a rectangular piece of land is 50m. On of its shorter sides is 14m. Calculate its perimeter.
    1. 48 m
    2. 124 m
    3. 62 m
    4. 672 m
43. Calculate the surface area of the closed cylindrical tank below.
    
    
    1. 11.88 m²
    2. 10.34 m²
    3. 3.08 m²
    4. 1188 m²
44. A salesman is paid a basic salary of 5% on value of goods sold up to sh 120000. He is also paid a commission of 2% on goods sold above 120000. Calculate his total salary during a month in which he sold goods worth sh 300000? 
    1. sh 6000
    2. sh 7500
    3. sh 10500
    4. sh 13500
45. The following are characteristics of a quadrilateral;
    1. Diagonals are not equal
    2. Some angles are equal
    3. Interiror angles add up to four right angles
    4. All sides are equal.
       The quadrilaterial described above is a;
       1. Rhombus
       2. Rectangle
       3. Parallelogram
       4. Square
46. The mean of 6 numbers is 7.5. Five of the numbers are 10, 7, 8, 9 and 3. Find the sum of median and mode. 
    1. 8
    2. 17
    3. 15.5
    4. 16
47. A tank has water to a level of 2000 cm. A family uses 20% of the water daily. Find the level of water at the end of the second day?
    1. 1200
    2. 1600
    3. 1280
    4. 1400
48. The table below show the marks scored by a pupil during a test.
    

    SUBJECT	MATHS	ENGLISH	KISW	SCIENCE	SIST
    SCORE	88	84	68	90	70

    If a pic chart was to be drawn, what angle would represent Kiswahili? 
    1. 79,2
    2. 63
    3. 81
    4. 61.2
49. What is the difference of the LCM of 12 and 8 and the GCD of 22 and 66? 
    1. 46
    2. 2 
    3. 13
    4. 528
       The graph below shows the number of trays of eggs sold by a farmer during the week.
       
50. If a tray holds 30 eggs, on which day did the farmer collect 1050 eggs?
    1. Monday
    2. Wednesday
    3. Friday
    4. Thursday

MARKING SCHEME