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

CLASS: YEAR 6 MATHEMATICS
OBJECTIVES
Instructions: answer all questions
1.Express in figure the number: Five hundred thousand and two.  (a)520,000 (b) 502,000(c) 500,002 (d) 50002
.
2. Find the simple  interest on #180 for 4 years at 50% per annum    (a) #300  (b) #320  (c) #340  (d) #360 
3. What is the volume of a cube with side 4m  (a) 64m3   (b) 16m3   (c) 120m3  (d)240cm3
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
5. On which day was the most books borrowed? (a) Tuesday (b) Wednesday (c) Friday (d) Thursday
6. How many books were borrowed on Thursday?  (a) 15      (b) 35 (c) 50 (d) 25
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
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
9. Solve 3³ ÷ 9. (a) 1/3 (b) 27 (c) 3 (d) 9
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
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 
12. Make h the subject of the formula in this equation: V =π r²h.  (a) Vπr²          
    (b) V/πr² (c) Vπr (d) πr²/V
13.Find the perimeter of a circle with radius 14cm; (take  π   = 22/7)  (a) 154cm
 (b) 256cm (c) 88cm (d) 80cm
 .
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
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 
16. Solve 47455 - 36468 +11759.   (a)72164 (b) 22746 (c)95682            (d) 772
17. Approximate 346.8878 to two decimal places. (a) 346.90 (b) 346. 89 (c) 346.80   
 (d) 346 
18. Find the value of x from the equation 2x + 21 = 103. (a) 42 (b) 21 (c) 41 (d) 22
19. What is the average of 2, 4, 6, 8, 10 and 12? (a) 14  (b) 6  (c) 9 (d) 77. 
 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 
SECTION B: Theory
Attempt any 5 questions from this section. All questions carry equal mark. Workings must be clearly shown.
1. a. Find the volume of this cube

b. Calculate the volume of the cuboid below

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

3. a. calculate the volume of the pyramid below
b. calculate the volume of the Prism below
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
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?
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?
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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DISCOUNT AND COMMISSION MATHEMATICS LESSON PLAN AND LESSON NOTE FOR PRIMARY AND SECONDARY SCHOOLS

Monday
Meaning of Discount 
Finding cost and cash price on discounted goods
Resources  Inside out  Learn   mathematics Book 6, page  125 
items like; currency note Milo, biscuits, books, pencils, school bag



Meaning of Discount Discount is a reduction in the price of an article. It is often a certain percentage of the actual price of the article.
Examples 1. A table clock cost $200, and a 10% discount is given for paying cash. What is the cash price?
Solution
The discount = 10% of $200 =   10    x 200= 20 100
So Cash price = original price – discount                                                             Amount  =    $200 –  $20 = $180 

2. The selling price of a shirt is $900. The trader gives 5% discount for cash. How much is the buyer paying. Solution The discount = 5% of $900 = $45
So Cash price = original price – discount amount
                        = $900 – $45 = $855

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