Wednesday, 05 July 2023 12:59

# Mathematics Questions and Answers - Class 8 Opener Exams Term 2 2023 Set 3

## QUESTIONS

1. Which of the following numbers is 4 200 204 in words?
1. Four million two hundred thousand two hundred and four.
2. Forty two million two hundred and four.
3. Four million two hundred and four thousand two hundred and four.
4. Four million two hundred and two thousand and four.
2. Which of the following is the smallest number that can be made from 560 2432
1. 023 546
2. 654 302
3. 203 456
4. 302 456
3. A rectangular water tank measures 6m by 4m by 2.5m. How many litres does it hold when full?
1. 60L
2. 600L
3. 60 000L
4. 6 000L
4. What is the product of 237 and 625 rounded off to the nearest thousand?
1. 147 000
2. 148 000
3. 148 125
4. 148 100
5. What is the total value of digit 6 in the number 2 568 325?
1. 60 000
2. 6000
3. 600
4. 60
6. What is the value of
24(72-69)+6x4
3x4
1. 8
2. 26
3. 30
4. 74
7. How many days were there between 25th December 2019 to 9th March 2020?
1. 72
2. 73
3. 74
4. 75
8. What is the difference of the LCM and GCD of 15, 20 and 30?
1. 60
2. 5
3. 65
4. 55
9. The price of a shoe was sh.2 500. During sale, the price was reduced to sh.2 250. What was the percentage decrease in the price?
1. 10%
2. 25%
3. 20%
4. 40%
10. What is 4:5 expressed as a decimal?
1. 8
2. 0.8
3. 0.08
4. 0.0008
11. A school has a population of 240 pupils in the lower school and 360 pupils in the upper school. Pupils in the lower school are given 1 2dl packet of milk twice a week while those in upper school are given 2 2dl packets of milk twice a week. How many litres do they take in one week?
1. 960L
2. 1 920L
3. 96L
4. 192L
12. The figure below shows a parallelogram| ABDE. Line ABC is a straight line. Angle DEC=115º and angle BCF=30º

What is the size of angle AEF?
1. 65º
2. 85º
3. 95º
4. 115º
13. What is the value of
0.81×0.63 × 0.24
0.06 × 0.09 × 0.07
1. 0.0324
2. 0.324
3. 3.24
4. 324
14. Boxes measuring 10cm by 6cm by 4cm were packed in a carton measuring 1.5m by 1m by 0.4m. How many boxes were needed to fill the carton?
1. 25 000
2. 2 500
3. 250
4. 25
15. What is the value of
2(x - 6) = 2
5        3
1. 72/3
2. 7
3. 22/3
4. 11
16. 45 men can complete a certain job in 9 days. If 18 men failed to turn up, how long did the job take?
1. 15
2. 6
3. 27
4. 18
17. Wambugu bought the following items from a shop.
• 2kg cooking fat @ 175
• 2 loaves of bread @ sh. 55
• 2kg packet of unga for sh. 255 kg
• 1/2kg salt for sh. 35
If he paid using 2-500 shilling notes, how much balance did he get?
1. Sh. 750
2. Sh. 250
3. Sh. 635
4. Sh. 365
18. A motorist started a journey of 225km at 6:30am. If he drove at 90km/h, at what time did he get to his destination?
1. 8:00am
2. 9:30am
3. 9:00am
4. 10:00am
19. The mass of an empty carton is 1.25kg. The carton is packed with 24-250g tins of margarine. If a pickup whose empty mass is 1.2 tonnes is packed with 50 202such cartons, what will be the mass of the loaded pickup in kg?
1. 7.25kg
2. 362.5kg
3. 1562.5kg
4. 15.625kg
20. Onyancha spent 1/3 of his salary on food and 1/4 on school fees. He uses a half of the remainder on transport and saved the rest. If he saved sh. 8 500, how much was his salary?
1. Sh. 20 400
2. Sh. 40 800
3. Sh. 24 000
4. Sh. 17 000
21. The cash price of a generator is sh. 117 000. The hire purchase price is 20% more than the cash price. Hassan paid sh. 28 080 and 12 equal monthly instalments. How much was each instalment?
1. Sh. 14 040
2. Sh. 11 700
3. Sh. 9 360
4. Sh. 5 460
22. A classroom wall measures 6m by 4m by 2.5m high. There are two windows measuring, 0.5m by 0.5m and a door measuring 2m by Im. The rest of the wall was painted in the inner side. What was the area of the wall painted?
1. 48.5m2
2. 48.00m2
3. 47.5m2
4. 50m2
23. Which of the following sets of measurements will not be used to form a right angled triangle?
1. 0.5m, 1.2m, 1.3m
2. 0.8m, 1.5m, 1.7m
3. 0.6m, 0.8m, 1.9m
4. 10m, 24m, 26m
24. Harry bought 4 trays of eggs at sh. 280 per tray. On the way, 24 eggs broke and sold the rest. How much could he sell each egg to make a 20% profit?
1. Sh. 14
2. Sh. 12
3. Sh. 336
4. Sh. 1 344
25. A plot of land is in the shape of a rhombus of side 200m. The length of one of the diagonals was 240m. What was the area in hectares?
1. 3.84 ha
2. 4.0 ha
3. 4.8 ha
4. 7.68 ha
26. A watch loses 5 seconds every hour. It was set correctly on Thursday at 3:00pm. What time will it show the following Thursday at 3:00pm?
1. 3:14pm
2. 3:14am
3. 2:46pm
4. 2:46am
27. A Nakuru bound bus left Nyeri on Tuesday at 9:30pm. If the journey took 61/2 hours at what day and time did it get to Nakuru?
1. 4:00am Wednesday
2. 4:00pm Tuesday
3. 3:30am Wednesday
4. 3:30pm Tuesday
28. In the figure below line AB = BC, AE = EC Angle ADC = 58°, line AD = CD

What is the size of angle BCD?
1. 61°
2. 60°
3. 30°
4. 91°
29. What is the value of
x + y2
z + y
x = 2z, z = y   1 and z = 3
1. 31/7
2. 21/7
3. 41/7
4. 51/7
30. Jimmy bought 40 pineapples at sh.30 each. He also spent sh.200 on transport. During transportation, 5 pineapples got spoilt and sold the remaining at sh.50 each. What was his percentage profit?
1. 25%
2. 20%
3. 30%
4. 331/3%
31. A rectangular plot of land is drawn to scale 1:30 000. If the drawing measures 5cm by 3cm, what is the actual area of the land in hectares?
1. 1 350 000ha
2. 13 500ha
3. 135ha
4. 1.35ha
32. The figure below shows Kamau's piece of land made up of a square joined to a quarter circle to the left and a triangle to the right as shown below.

What is the area of the garden?
1. 1 400m2
2. 910m2
3. 1 694m2
4. 988m2
33. Obonyo shared some money to his four sons. Ochieng, Odhiambo, Otoyo and Otieno. Ochieng got 1/2 Odhiambo got 2/3 of the remainder and the rest was shared equally between Otoyo and Otieno. If the total amount of money was sh. 60 000, How much did Otieno get?
1. Sh. 5 000
2. Sh. 30 000
3. Sh. 7 500
4. Sh. 18 000
34. The perimeter of an Isosceles triangle is 100cm. The base is 32cm and the rest of the other two sides are equal. What is the area of the triangle?
1. 480cm2
2. 960cm2
3. 1088cm2
4. 544cm2
35. The pie chart below shows how Kogi spent his monthly salary.

If he spent sh. 14 000 on rent, how much does he spend on leisure than clothing?
1. Sh. 10 000
2. Sh. 2 000
3. Sh. 12 000
4. Sh. 72 000
36. The table below shows a timetable for a town in a certain route from town A to town E.
 Town Arrival Departure A _ 8:00 am B 10:45 am 11:05 am C 2:35 pm 3:00 pm D 5:15 pm 5:30 pm E 7:25 pm _
How long does it take to travel from town B to town E?
1. 8 hrs 20min
2. 6 hrs 20min
3. 6 hrs 10min.
4. 7 hrs 35 min
37. Kipsang bought four jackets for sh. 2 800 after getting 30% discount. How much would he have paid for one jacket if he was given 15% discount?
1. Sh. 3 400
2. Sh. 850
3. Sh. 700
4. Sh. 2 240
38. On the line AB drawn below, complete a triangle ABC such that angle BAC-67" and line AC 7.2cm. Draw a circle touching point ABC.

What is the length of the radius?
1. 9.2cm
2. 3.9cm
3. 4.6cm
4. 1.8cm.
39. Three bells ring at an interval of 40min, 45min and 1 hour. The three bells rang together at 8:30am. What time will they ring together again?
1. 11:30pm
2. 1:30pm
3. 2:30pm
4. 12:30pm
40. What is the expression 7(x+4y+2)+5 (2x      y+3)?
1. 17x + 23y+29
2. 3.x + 3y+29
3. 17x+3y+5
4. 9x+27y+17
41. A sales lady carns a basic salary of Sh.20 000. She is also paid 5% commission on the sale of goods above sh.100 000. In one month, she sold goods worth half a million. How much was the total earnings that month?
1. Sh. 20 000
2. Sh. 22 000
3. Sh. 40 000
4. Sh. 60 000
42. The table below shows the charges for sending letters and small parcels.
 Within East Africa Rest of Africa Middle East and Europe Far East and America Not over 100g Sh. 60 Sh. 95 Sh. 115 Sh. 180 101g - 250 g Sh. 105 Sh. 135 Sh. 160 Sh. 240 251g - 500g Sh. 185 Sh. 220 Sh. 235 Sh. 300 501g - 1kg Sh. 245 Sh. 280 Sh. 320 Sh. 375
Ann sent two parcels of 250g each to USA and another one to Lagos (Nigeria). Juma sent two parcels, one 780g to Telaviv (Middle East) and another of 450g to Kampala (Uganda). How much did they pay in total for postage?
1. Sh. 915
2. Sh. 815
3. Sh. 1 015
4. Sh. 1 215
43. A rectangle plot of land measuring 32m by 8m has the same area as a square. What is the difference in their perimeter?
1. 16m
2. 64m
3. 20m
4. 12m
44. An open cylindrical tin has a radius of 14cm and a height of 30cm. The tin was painted the inner surface. What was the area painted?
1. 2 640cm2
2. 3 256cm2
3. 3 872cm2
4. 616cm2
45. At an eye clinic open day, a total of 900 children attended the checkup. The number of women was two thirds of the children but two hundred more than men. How many people attended the eye clinic?
1. 1 000
2. 400
3. 600
4. 1900
46. Three boys Sam, Ham and Tom contributed some money as follows. Sam contributed sh.200 more than Iam while Tom contributed half of the total of Sam and Ham. If the amount of money contributed by Ham was x and they contributed a total of sh. 2 400, which of the following equations can be used to find the amount contributed by Sam?
1. 3x+400 = 2400
2. 3x + 300 = 2 400
3. 4x+ 200 = 2 400
4. 4x+400 = 2400
47. Jackson deposited sh. 240 000 in a Commercial Bank that paid a simple interest at the rate of 7.5% per annum. How much interest did the money earn in 18 months?
1. Sh. 36 000
2. Sh. 18 000
3. Sh. 24 000
4. Sh. 27 000
48. A motorist travels for four hours at a speed of 60km/h to travel from town A to town B. He took 6 hours to travel back. What was the average speed for the whole journey?
1. 48km/h
2. 54km/h
3. 72km/h
4. 40km/h
49. Kamau had 5 - 500 shilling notes, 12 - 200 shilling notes and 14 - 100 shilling notes. He decided to change the money into 50 shilling notes. How many notes did he get?
1. 6300
2. 126
3. 50
4. 136
50. The figure below shows the net of a solid.

What is the number of edges(E), faces(F) and vertices(V) when folded to form a solid.
Edges(E)   Faces(F)   Vertices(V)
1. 12                 5                   8
2. 9                   5                   6
3. 8                   5                   5
4. 12                 6                   8