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

QUESTIONS  

1. What is 60203303 in words?
   
   1. Sixty million two hundred and three thousand three hundred and three.
   2. Six million two hundred and three thousand three hundred and three.
   3. Sixty million twenty three thousand three hundred and three.
   4. Sixty million two hundred and three thousand three hundred and thirty three.
2. How many times is the LCM of 60 and 20 more than the GCD of 15 and 30?
   
   1. 12
   2. 900
   3. 4
   4. 600 
3. What is the value of:
   0.81 × 13.5 × 0.56 ?
     0.14 x 1.5 x 0.27
   1. 1080
   2. 108
   3. 10.8
   4. 1.08
4. What is 36090 divided by 18?
   
   1. 25
   2. 205
   3. 200.5
   4. 2005
5. The figure below shows a square whose perimeter is 64cm.
   
   What is the area of the square?
   
   1. 16cm²
   2. 225cm²
   3. 256cm²
   4. 15cm²
6. What is the next number in the pattern
   7, 11, 13, 17, 19, _______________?
   
   1. 21
   2. 23
   3. 27
   4. 25
7. What is the value of 7¹/₂ of ⁷/₉ ÷ 16¹/₃ ?
   
   1. ⁵/₁₄ 
   2. 2⁴/₅ 
   3. ¹⁵/₄₂ 
   4. 95⁵/₁₈ 
8. Fifteen people can complete some work in 50days. How many more people working at the same rate are required to do the work in 25days?
   
   1. 30
   2. 45
   3. 15
   4. 25
9. The ages in years of seven of Juliana's relatives are as follows 45, 38, 43, 43, 39, 40 and 39. What is their mean age?
   
   1. 38
   2. 43
   3. 40
   4. 41
10. The figure below represents a trapezium.
    
    Calculate its area in ares
    
    1. 500
    2. 50
    3. 0.5
    4. 5
11. Jacob deposited sh. 60000 in a bank that paid a simple interest at the rate of 5% per annum. How much was in his account after
    2 years?
    
    1. sh 66000
    2. sh. 66150
    3. sh. 660000
    4. sh. 606150
12. What is the value of 3x − p + m,  when m = 5, x = m + q, p = q − 6 and q = 2m?
                                        q
    1. 4⁵/₈ 
    2. 9¹/₁₀ 
    3. 2¹/₅ 
    4. 5¹/₁₀ 
13. The scale of a map-is 1:100000. A rectangular plot is represented on the map by 5cm and 4cm. What is the actual area of the plot in hectares?
    
    1. 20000000
    2. 200000
    3. 2000
    4. 200
14. Rachael had 560 mangoes. She sold ³/₈ of the mangoes in the morning and ¹/₇ of the remainder in the afternoon. She sold the rest of the mangoes in the evening. How many mangoes did she sell in the evening?
    1. 510
    2. 210
    3. 50
    4. 300
15. A geometrical set was bought for sh. 270 after getting a discount of 10% off its marked price. Calculate the marked price of the geometrical set.
    
    1. sh. 280
    2. sh. 300
    3. sh. 243
    4. sh 297
16. Using a pair of compass and a ruler, construct triangle XYZ such that lines XY = 5cm, YZ = 6cm and XZ = 7cm. Draw a circle which passes through X, Y and Z. What is the length of the diameter?
    
    1. 3.6cm
    2. 2.6cm
    3. 4.5cm
    4. 7.2cm
17. Asha bought 45 bottles of milk of 500ml each. What was the total amount of milk that Asha bought in litres?
    
    1. 22.5
    2. 225
    3. 22500
    4. 225000
18. The figure PQRS drawn below is a parallelogram. Angle RSQ = 45°. and Angle = SPQ 75°.
    
    What is the size of angle PQR?
    
    1. 120°
    2. 105°
    3. 90°
    4. 45°
19. A 33-seater bus and 11-seater matatu were to transport 319 people to a function. If the matatu made an extra trip than the bus, how many people did the matatu transport?
    
    1. 77
    2. 231
    3. 242
    4. 88
20. The mean of ten numbers is 5.8. Nine of the numbers are 9, 5, 7, 3, 4, 6, 5, 6 and 7. What is the modal number?
    
    1. 12
    2. 7
    3. 6
    4. 8
21. The ratio of boys to girls in a school is 6:2. If there are 2400 pupils in the school, how many more boys than girls are in the school?
    
    1. 2500
    2. 600
    3. 1800
    4. 1200
22. The figure below represents a cuboid.
    
    What is its volume in cubic centimetres?
    
    1. 320
    2. 0.0032
    3. 0.32
    4. 32
23. In the year 2016 February 20th was a Sunday. What day was March 7th of the same year?
    
    1. Wednesday
    2. Monday
    3. Tuesday
    4. Thursday.
24. What is the simplified form of the expression
    ³/₈(16a + 24b) + ²/₃ (15a + 21b)?
    
    1. 24a + 15b
    2. 16a + 23b
    3. 16b + 23a
    4. 15a + 24b
25. The pie chart below shows how Shadrack spent his salary.
    
    If his salary was sh. 36000, how much more did he spend on clothings than on school fees?
    
    1. sh. 17000
    2. sh. 13000
    3. sh. 6000
    4. sh. 7000
26. Martinez has x mangoes. Mato has four less mangoes than Martinez. Michael has six more mangoes than the total number of both Martinez and Mato. How many mangoes do they have altogether?
    
    1. 14x − 28
    2. 12x  − 24
    3. 4x − 2
    4. 14x + 28
27. What is the area of the circle drawn below? (Take π = ²²/₇)
    
    1. 22cm²
    2. 77cm²
    3. 38.5cm²
    4. 154cm²
28. What is the value of g in
    6(2g + 3) = 2(4g + 18)?
    1. 1¹/₂ 
    2. ²/₉ 
    3. 4¹/₂ 
    4. 2¹/₄ 
29. Nyakio bought the following items from a shop
    2 kg of sugar @sh. 130
    3¹/₂ kg of cooking fat at sh. 150per kg
    5kg of maize flour @ sh. 100
    He paid for the items using three-500 shillings notes. How much balance did he receive?
    
    1. sh. 1500
    2. sh. 215
    3. sh. 251
    4. sh. 1285
30. The area of a square plot of land is 1.44 hectares. The owner fenced it all around with five strands of wire. What was the total
    length of wire used in metres?
    1. 2400
    2. 480
    3. 120
    4. 2880
31. The figure drawn below is a cylinder.
    
    What is the volume of the cylinder? (Take π = ²²/₇)
    
    1. 172480cm³
    2. 24460cm³
    3. 24640cm³
    4. 98560cm³ 
32. Using a ruler and a pair of compass, construct triangle ABC such that line AB=5cm, BC=4cm and AC = 6cm. What is
    the measure of angle ACB?
    
    1. 43°
    2. 81°
    3. 64°
    4. 56°
33. A trader had two tonnes of sugar. He packed the sugar in 500g packets. How many packets did he obtain?
    
    1. 40
    2. 400
    3. 4000
    4. 40000
34. Jacob started his journey at 8.35am travelled from Nakuru to Mombasa. He arrived in Mombasa at 1.15pm. How long did he take to travel from Nakuru to Mombasa?
    
    1. 7hrs 20mins
    2. 5hrs 50mins
    3. 5hrs 40mins
    4. 4hrs 40mins
35. A box measures 15cm long by 10cm wide by 8cm high. What is the total surface area of the box?
    
    1. 700cm²
    2. 460cm²
    3. 540cm²
    4. 400cm²
36. Which one of the following statements is correct?
    1. ²/₅ > ¹/₃ 
    2. ²/₅ < ¹/₄ 
    3. ¹/₈ > ³/₄ 
    4. 80 < 50
37. Which one of the following measurements cannot be used to draw a right angle triangle?
    
    1. 3cm, 4cm, 5cm
    2. 5cm, 12cm, 13cm
    3. 3cm, 4cm, 6cm
    4. 7cm, 24cm, 25cm
38. The diagram below is a rhombus PQRS and SQ are diagonals. Angle OSR = 30°
    
    What is the size of angle RPQ?
    
    1. 60°
    2. 120°
    3. 150°
    4. 90°
39. The cash price of a table is sh. 48000. The hire purchase price is 20% more than the cash price. Paul bought it on hire purchase
    terms. He paid a deposit of sh. 16000 and 8 equal monthly instalments. How much was  each instalment?
    
    1. sh. 7200
    2. sh. 21200
    3. sh. 57600
    4. sh. 5200
40. A motorist covered 336km at an average speed of 84km/h. On the return journey, the average speed reduced to 56km/h. What was the average speed for the whole journey?
    
    1. 100.8km/h
    2. 33.6km/h
    3. 84km/h
    4. 67.2km/h
41. The perimeter of an equilateral triangle is 120cm. What is the length of one side of the triangle?
    
    1. 36cm
    2. 40cm
    3. 4cm
    4. 480cm
42. Three bells ring at intervals of 9minutes, 15minutes and 3minutes. If the bells rang together at 10:35am, at what time did the bells ring together again?
    
    1. 11.15am
    2. 11.20am
    3. 11.20pm
    4. 11.15pm
43. What is the value of 
    1. ¹/₈
    2. ¹/₄
    3. 2¹/₄
    4. 4¹/₂ 
44. A certain quadrilateral has the following properties;
    
    • Diagonals bisect each other at right angles
    • All angles are equal
    • Diagonals are equal
    • Two pairs of parallel sides
      Which quadrilateral has all the above properties?
      
      1. Parallelogram.
      2. Rectangle.
      3. Rhombus.
      4. Square.
45. The table below shows the fare charged by a matatu conductor from station O to S.
    
    Jacob and his wife travelled from station O to S via R. How much money did they pay altogether?
    
    1. sh. 95
    2. sh. 140
    3. sh. 165
    4. sh. 190
46. Alex paid sh. 1250 after a discount of sh. 250. What percentage discount was he allowed?
    
    1. 25%
    2. 162,%
    3. 83¹/₃%
    4. 20%
47. The diagram below is a net of a solid.
    
    Which one of the following solids can be formed from the net above?
    
    1. Cube.
    2. Cuboid.
    3. Square.
    4. Rectangle.
48. The fractions ²/₃, ³/₅, ³/₄, and ⁵/₇, are to be written from the smallest to the largest. Which one of the following is the correct order?
    1. ³/₄, ⁵/_7, ²/_3,³/₅
    2. ²/_3, ³/_5, ³/_4, ⁵/_7, 
    3.  ²/_3, ³/_5, ⁵/_7, ³/₄
    4. ³/_5, ²/_3, ⁵/_7, ³/_4, , 
49. Which one is the next pattern?
    
50. The graph below represents the journey of a motorist travelling from town P to Q.
    
    What was the average speed for the whole journey?
    
    1. 80km/h
    2. 100km/h
    3. 200km/h
    4. 125km/h

MARKING SCHEME

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