FORM 4 COMBINED – MATHEMATICS TEST

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1. The number 32747 written to 4 significant figures is

 
 
 
 

2. In a school of 910 pupils, 3/7 are boys and 2/5 of the boys wear glasses. How many boys wear glasses?

 
 
 
 

3. $x is divided among three boys, Ryan, Keith and Andrew, in the ratio 2 : 3 : 7, respectively.

If Andrew gets $15 more than Keith, what is the value of x?

 
 
 
 

4. Three lights flash at intervals of 4, 6 and 10 seconds respectively. They are started together. How soon after will they next flash together again?

 
 
 
 

5. After a 10% discount, an article is sold for $360. The price before the discount was

 
 
 
 

6. A shopkeeper buys 48 radios for a wholesale price of $7200. At what price per radio must he sell to make a profit of 15% on his cost?

 
 
 
 

7. The water authority charges $10.00 per month for the meter rent, $2.50 for the first 1 000 litres and $0.10 for each additional100 litres. What is the total bill for 2 500 litres used in one month?

 
 
 
 

8. A rectangular tank is 100 cm long, 30 cm wide and 12 cm deep. The volume of liquid it will hold is

 
 
 
 

9. The area of the trapezium ABCD below is

 
 
 
 

10. A square has the same area as a rectangle with sides of length 9 centimeters and 16 centimeters.

What is the length of the square?

 
 
 
 

11. The width of a block of wood with rectangular cross-section is x cm. Its height is 2⁄3 its width and its length is 4 times its height. What is its volume in cm³?

 
 
 
 

12. In a box, there are 3 white, 4 red and 2 blue marbles. What is the probability that a marble taken at random is NOT blue?

 
 
 
 

13. The mean of ten numbers is 58. If one of the numbers is 40, what is the mean of the other nine?

 
 
 
 

14. The table shows the distribution of the ages of 25 students.

What is the probability that a student chosen at random is AT LEAST 13 years old?

 
 
 
 

15. If x is an odd number, which of the following is also odd?

 
 
 
 

16. The diagram below shows the graphs of  3x y = 1 and 5x + 2y = 20.

Which ordered pair (x, y) satisfies both equations?

 

 
 
 
 

17. Which of the following relations is represented by the graph shown above?

 
 
 
 

18. The sizes of the interior angles of a polygon are x°, 2x°, 60°, 3x° and 36°. What is the value of x?

 
 
 
 

19. In the figure below,

Determine the value of

 
 
 
 

20. When rotated through 90° about the origin in a clockwise direction, the image of the point (3,1) is