### SAMPLE MATHEMATICS THEORY AND OBJECTIVE QUESTIONS FOR YEAR 5, 6 IN PRIMARY, SECONDARY AND HIGH SCHOOLS

CLASS: YEAR 6 MATHEMATICS

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OBJECTIVES

Instructions: answer all questions

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1.Express in figure the number: Five hundred thousand and two. (a)520,000 (b) 502,000(c) 500,002 (d) 50002

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2. Find the simple interest on #180 for 4 years at 50% per annum (a) #300 (b) #320 (c) #340 (d) #360

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3. What is the volume of a cube with side 4m (a) 64m3 (b) 16m3 (c) 120m3 (d)240cm3

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4. Given that x/y = 2 find the value of xy (a)2y (b) 2y² (c) 2/y (d) 4y

The graph below shows the number of books borrowed in a school library.

Use it to answer questions 5 to 7

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5. On which day was the most books borrowed? (a) Tuesday (b) Wednesday (c) Friday (d) Thursday

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6. How many books were borrowed on Thursday? (a) 15 (b) 35 (c) 50 (d) 25

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7. If 15 books were borrowed on Monday, how many books were borrowed altogether during the week? (a) 145 (b) 130 (c) 115 (d) 100

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8. If you read 4 pages of a book in 5 minutes. How long will it take you to read 20 pages? (a) 20min (b) 25min (c) 100min (d) 400min

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9. Solve 3³ ÷ 9. (a) 1/3 (b) 27 (c) 3 (d) 9

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10. Find the next two terms of this sequence

1, 1, 2, 3, 5, 8, 13, ........, ......... (a) 20, 30 (b) 21, 32 (c) 22, 33 (d) 21, 34

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11. The cost of a Pizza is#2500, Burger - #800, Hotdog - #500, Soft Drink - #200, If me and my friend eat a Pizza and take two soft drinks, how much did we spend?

(a) #2900 (b)#4000 (c) #4200 (d) #5400

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12. Make h the subject of the formula in this equation: V =π r²h. (a) Vπr²

(b) V/πr² (c) Vπr (d) πr²/V

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13.Find the perimeter of a circle with radius 14cm; (take π = 22/7) (a) 154cm

(b) 256cm (c) 88cm (d) 80cm

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14. The perimeter of a Square field is 160cm. what is the length of one of its sides?

(a) 34.5cm (b) 13cm (c) 33cm (d) 40cm

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15. 20 cars were shared between Davido and Olamide in the ratio 3:2. How many cars did Davido get? (a) 12 (b) 8 (c) 5 (d) 15

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16. Solve 47455 - 36468 +11759. (a)72164 (b) 22746 (c)95682 (d) 772

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17. Approximate 346.8878 to two decimal places. (a) 346.90 (b) 346. 89 (c) 346.80

(d) 346

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18. Find the value of x from the equation 2x + 21 = 103. (a) 42 (b) 21 (c) 41 (d) 22

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19. What is the average of 2, 4, 6, 8, 10 and 12? (a) 14 (b) 6 (c) 9 (d) 77.

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20. A bag contains 20 blue balls, 6 black balls, and 18 yellow ball.

What is the probability of picking a ball? (a) 0 (b) 1 (c) 2 (d) 3

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SECTION B: Theory

Attempt any 5 questions from this section. All questions carry equal mark. Workings must be clearly shown.

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1. a. Find the volume of this cube

b. Calculate the volume of the cuboid below

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2. a. Find the volume of the cylinder below.

b. Find the volume of a cone whose base radius is 7cm and whose height is 12cm. Take π as 22/7

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3. a. calculate the volume of the pyramid below

b. calculate the volume of the Prism below

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4. a. Study the shape above and use it to answer the question below. The first one is solved as a sample.

b. A bowl of fruits contains 6 oranges, 9 apples and 3 mangoes. If Ruth takes one piece of fruit without looking, what is the probability that she takes:

i. a mango

ii. an orange

iii. an apple

iv. An apple and an orange

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5. i. A machine is marked at #5000, and is sold at a discount of 10%. Find the selling price of the machine.

ii. A saleswoman sold goods worth #800. She was given 15% commission. How much was her commission in cash?

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6. a. Complete the table below for each sequence of match-stick shapes

b. 1. find the next 3 terms in these sequences:

i. 3, 12, 48, .., ., ..

ii. 151/2, 12, 81/2, 5, ., ..,

iii. What is the common ratio and the common difference in the questions above?

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7. If the capacity of a tank is 3 liters:

a. find the volume of a rectangular gallon with dimension 6cm by 5cm by 10cm.

b. Find the number of the rectangular gallon that will fill up the tank.

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