Mathematics Assessment

1. The Venn diagram above shows the number of students who studied Physics, Chemistry and Mathematics in a certain school. How many students took at least two of the three subjects?

2. Bola sold an article for ₦6,900 and made a profit of 15%. If she sold it for ₦6,600, she would make a _______

3. If the bearing of X from Y is 144^O, what is the bearing of Y from X?

4. The angles of a polygon are x, 2x, 2x, (x+30^O), (x+20^O) and (x-10^O). find the value of x.

5. The foot of a ladder is 6m from the base of an electric pole. The top of the ladder rests against the pole at a point 8m above the ground. How long is the ladder?

6. If log₁₀5 = 0.699 and log₁₀ 3 = 0.477, find without using tables log₁₀ 75

7. The common ratio of a G.P is 2. If the 5^th term is greater than the 1^st term by 45, find the 5th term.

8. The volume of a pyramid with height 15cm is 90cm³. If its base is a rectangle with dimensions x cm by 6 cm, find the value of  x .

9. The length of a rectangle is 10cm. If its perimeter is 28cm, find the area.

10. The diagram shows triangle PQR inscribed in a circle. PS is a tangent to the circle at P. Find angle PRQ

11. In a mathematics test, the scores obtained out of 10 by a group of students are 5, 0, 3, 2, 6, 8, 4, 5, 8, 10, 5, 10. The mode, median and mean respectively are _______

12.

1. Change 432 base five to a number in base three.

13. Express 1975 correct to 2 significant figures.

14. In gradient-intercept form of equation y = mx + c, ‘m’ denotes _______.

15. Approximate 0.0033780 to 3 significant figures.

16. A bag contains five red balls, four white balls and three blue balls. A ball is picked at random from the bag. What is the probability of getting a white ball?

17. If 2x + 3y = 4 and 3x - y = 6, find the value of x

18. Which of the following numbers is a perfect cube?

19. The marks of eight students in a test are: 10, 4, 5, 3, 14, 13, 16 and 7. Find the range.

20. What is the gradient, m of the line between the points (-1,2) and (3,-4).