Mathematics Questions and Answers - Class 8 End Term Exams Term 1 2023 Set 2

QUESTIONS

1. What is sixty million four hundred and ninety six thousand and thirty seven thousandths written in symbols?
   1. 60496000.037
   2. 60496037.000
   3. 60496000.37
   4. 6049600.37000
2. What is 81.245 rounded off to the nearest hundredths?
   1. 81.246
   2. 81.24
   3. 81.2
   4. 81.25
3. What is the value of;
   2¹/₈ + ¹/₄ (1³/₈ - ⁷/₈)  ?  
       3¹/₈ x ³/₄ ÷ ³/₈
   1. 14¹/₁₆
   2. ¹/₃
   3. ⁹/₂₅
   4. 2⁷/₉
4. What is the next number in the sequence below?
   3, 4, 7, 11, 18,................
   1. 29
   2. 26
   3. 25
   4. 47
5. A rectangular plot measuring 120m by 72m was to be fenced using posts placed at intervals of 4m leaving a gate 4m wide. Six strands of barbed wire was also to be used. How much money did it cost to fence the plot if one post costed sh. 85 while 1m of barbed of wire cost sh.110?
   1. Sh. 383520
   2. Sh. 8245
   3. Sh. 391296
   4. Sh. 258960
6. In the figure below, lines AB and CD are parallel. Line EF is a transversal.
   
   Which of the following statements is not true about the angles in the figure above?
   1. q+s=t+x
   2. p+s=t+x
   3. q=w
   4. s+w=1800
7. Wanda bought the following items from a shop.
   -1³/₄kg of sugar@sh. 160 per kg
   -¹/₂kg packet of salt @sh. 30
   -15 Exercise books for sh.1200
   -21 tomatoes @sh. 20 for every 3 pieces
   -2 litres of juice @sh.95 per 250ml
   He paid for the items using five- sh. 500 notes. How much balance did he get?
   1. Sh. 975
   2. Sh. 485
   3. Sh. 90
   4. Sh. 475
8. Arrange the following fractions in descending order.
   ³/₈ , ⁵/₁₆ , ¹¹/₃₂ , ¹³/₄₈
   1. ³/₈ ,¹¹/₃₂ ,⁵/₁₆ , ¹³/₄₈
   2. ³/₈ , ⁵/₁₆,¹¹/₃₂ , ¹³/₄₈
   3. ³/₈ , ¹¹/₃₂,¹³/₄₈ , ⁵/₁₆
   4. ¹³/₄₈ ,⁵/₁₆ , ¹¹/₃₂, ³/₈
9. A rider covers 3km in every 1³/₄ minutes. How many kilometers does he cover from 8:19am to 9:08am?
   1. 28km
   2. 148km
   3. 84km
   4. 257¹/₄km
10. What is the value of: 344.482 ÷ 41?
    1. 8.420
    2. 0.842
    3. 8.402
    4. 8.042
11. Which of the following numbers increase by hundredths?
    1. 0.342, 0.442, 0.542, 0.642
    2. 0.342, 1.342, 2.342, 3.342
    3. 0.342, 0.343, 0.344, 0.345
    4. 0.342, 0.352, 0.362, 0.372
12. In a wedding party, the number of children was four and half times the number of women. There were 2900 more children than men. If there were seven hundred men in the party, how many people were there altogether?
    1. 3600
    2. 5100
    3. 20500
    4. 800
13. Angura stayed at her grandmother's place from the morning of 27th May until the morning of 27th September. For how many nights did she stay there?
    1. 123
    2. 124
    3. 122
    4. 120
14. What is the square root of 5⁴/₉?
    1. 5²/₃
    2. 2¹/₃
    3. 2¹/₉
    4. ²/₃
15. In the figure below, line AB is parallel to line CD. Angle ABX=42° and angle CDX=36°
    
    What is the value of the reflex angle RXD?
    1. 282°
    2. 78°
    3. 272°
    4. 102°
16. Draw triangle ABC in which Line AB-5cm. angle ABC-85° and angle CAB 55°. Draw a perpedicular line from point B to meet line AC at point D. What is the length of the perpedicular line BD?
    1. 4.0cm
    2. 2.9cm
    3. 5.0cm
    4. 6.5cm
17. On a map whose scale 1:50000, a rectangular piece of land measures 12cm by 8cm. What is the actual size of the plot in hectares?
    1. 2400ha
    2. 240ha
    3. 240000ha
    4. 2400000ha
18. Given that a=√b, c=2b, b=4 and d=b+1, find the value of;
    a(bc-d²)
     a²+b²
    1. 3²/₃
    2. ⁷/₁₈
    3. 1¹⁹/₂₀
    4. ⁷/₁₀
19. A bus arrived in Garrisa at 0305hrs on Sunday after travelling for 12 hours 24min from Eldoret. When had it left Eldoret?
    1. Sunday 2:41pm 
    2. Saturday 2:41am 
    3. Sunday 2:41am
    4. Saturday 2:41pm
20. An empty lorry weighs 5.48tonnes. It weighed 17.8tonnes when loaded with 90kg bags of beans and 70kg bags of maize. If the bags of maize and beans were equal in number, how many bags were loaded in the lorry altogether?
    1. 77
    2. 154
    3. 197⁷/₉
    4. 176
21. The diagram below represents a school compound. Mumo went round the compound four times. What distance did he cover?
    
    
    1. 61m 
    2. 1184m
    3. 940m
    4. 296m
22. What is the value of x in the equation;
    3x - 4x + x + 2 = 10
         3          3
    1. 7¹/₂
    2. 9
    3. 8
    4. 3
23. The table below shows distance in kilometres from town A and to D?
    
    What is the distance from town A to D via town C?
    1. 245km
    2. 82km.
    3. 155km
    4. 163km
24. The cash price of a water tank is Sh. 32500. The hire purchase price 20% more than the cash price. Ojala bought the tank on hire purchase terms by paying a deposit and equal monthly installments of sh.1060 for 25 months. How much deposit did he pay?
    1. Sh. 12500
    2. Sh. 26500
    3. Sh. 39000
    4. Sh. 6500
25. In the figure below, line AB is parallel to line ED. Angle ABE = 20°, angle EDB 120° and angle ECD=70°. What is the size of angle AEB?
    
    
    1. 50°
    2. 70°
    3. 130°
    4. 110°
26. Obwana bought fifteen-50kg bags of rice at sh.5500 each. He paid sh.30 for transporting each bag of rice. He later repacked all the rice into 2kg packets which were sold for sh. 250 each. How much profit did he get if he also paid his salesman sh.2800?
    1. Sh. 8000
    2. Sh. 93750
    3. Sh. 10800
    4. Sh. 82950
27. Ombuji bought a coat for sh.2400 after a 20% discount. How much would he have paid if he was allowed a 10% discount?
    1. Sh. 3000
    2. Sh. 2160
    3. Sh. 2700
    4. Sh. 3300
28. What is 6¹/₄%  converted to a ratio in its simplest form?
    1. 25:4
    2. 1:16
    3. 6:14
    4. 5:16
29. The figure below shows a trough of water for watering animals. What is its total surface area?
    
    
    1. 594cm²
    2. 517cm²
    3. 874cm²
    4. 748cm²
30. The average mass of 45 pupils is 52kg. When the mass of their two teachers is added, the average mass becomes 53kg. What is the mass of the heaviest teacher if he weighs 5kg more than the other teacher?
    1. 40kg
    2. 51kg
    3. 73kg
    4. 78kg
31. The table below shows the ages of children in a class.
    

    Tina	Tom	Titus	Tonny	Ted	Tobias	Tojan
    3 yrs	6 yrs	23 yrs	18 yrs	8 yrs	17 yrs	15 yrs

    If the information above is to be represented in a pie chart, what angle would represent Tobias' age?
    1. 72°
    2. 68°
    3. 58°
    4. 136°
32. The figure below shows a semi-circle cut-out from a quadrant.
    
    Line RS-line ST-14cm. What is the area of the shaded part left?
    1. 231cm²
    2. 154cm²
    3.  38.5cm²
    4. 77cm²
33. Eight men can do a certain job in 15 days. How many more men need to be employed for the work to be completed in 12 days?
    1. 10
    2. 2
    3. 4
    4. 30
34. Construct a parallelogram PQRS in which line PQ=line RS=5cm and line PR=line QS=7cm. Angle QPR = 135°. What is the difference between the longest and the shortest diagonals?
    1. 11cm
    2. 4.5cm.
    3. 5cm
    4. 6cm
35. Kyalo left his home at 10.45am for Kitale, a distance of 280km. After driving for 2 hours at a speed of 65km/h, he stopped to rest for 40 minutes. At what time did he complete his journey if he drove uniformly at 50km/h for the rest of the journey?
    1. 4:25pm
    2. 4:26am
    3. 12:45pm
    4. 3:25pm
36. What is the highest common factor of 12, 18 and 27?
    1. 3
    2. 108
    3. 9
    4. 6
37. Gilla deposited sh.24000 in a bank that charged a simple interest at a rate of 6% p.a. How much money was in his account after 2 years?
    1. Sh. 1440
    2. Sh. 2880
    3. Sh. 25440.
    4. Sh. 26880
38. What is the value of;
     5.1 x 13 x 0.02   ?
        3.4 x 0.13
    1. 0.3
    2. 30
    3. 3
    4. 0.03
39. The population of a school increased by 40% to 1050. How many new students had joined the school?
    1. 750
    2. 300
    3. 3000
    4. 1350
40. Which of the following numbers is not divisible by 11?
    1. 60240
    2. 86834
    3. 104950
    4. 95931
41. A room measuring 9m by 7m is to be tiled with square tiles measuring 30cm. How many tiles are needed to fill the floor of the whole room?
    1. 21000
    2. 210
    3. 700
    4. 7000
42. The table below shows amount of milk delivered by a farmer in a milk collection centre in one week.
    

    Day of the week	Mon	Tue	Wed	Thur	Fri	Sat	Sun
    Litres of milk	58	72	48	60	84	90	92

    In which two consecutive days was the highest amount of milk delivered? 
    1. Saturday and Sunday
    2. Thursday and Friday 
    3. Monday and Tuesday
    4. Wednesday and Sunday.
43. Which solid will be formed after folding the net drawn below?
    
    
    1. Square based pyramid. 
    2. Square based prism.
    3. Triangular based pyramid. 
    4. Triangular based prism.
44. Ombeni bought the following goods for his kiosk.
    - 3 bales each containing 20-500g packets of sugar.
    - 25 packets of rice each weighing 1000g.
    -145 packets of salt each weighing 200g.
    -20 loaves of bread each weighing 400g.
    What was the total mass of the items he bought in kilograms?
    1. 920kg
    2. 29kg
    3. 92kg
    4. 30kg
45. A saleslady is paid a basic salary of sh.16500. She is also paid a 4% commission on all the sales made. In one month, she sold goods worth sh.280000. How much did she earn that month?
    1. Sh. 11200
    2. Sh. 18200
    3. Sh. 24200
    4. Sh. 27700
46. The following are properties of quadrilaterals.
    1. All sides are equal.
    2. Diagonals are equal.
    3. Opposite sides are equal.
    4. Diagonals bisect angles at the vertices.
    5. Opposite angles are equal.
       Which properties are true about parallelograms?
       1. (iii) and (v)
       2. (i) and (iv)
       3. (ii) and (iii)
       4. (i) and (v)
47. A cuboid measures 20cm by 12cm by 8cm. What is the total length of its edges?
    1. 1920cm
    2. 40cm
    3. 80cm
    4. 160cm
48. What is the value of;
    6x64+4-50+8?
    1. 54
    2. 28
    3. 32
    4. 48
49. What is the simplified form of the expression
    12(2q+6)+8q-8 ?
       4(q+2)+8q+4
    1. 32q+80
       12q +8
    2. 96q
       24q
    3. 32q+16
       12q+3
    4. 8q+16
       3q+3
50. What is the next shape in the pattern below?
    
    

MARKING SCHEME