Mathematics 2015 (Jamb)

1. Determine the maximum value of y = 3x2 – x3

2. If the end point of one side of square RSTU are R(-1, -1) and S(3, -1) find the area of the square.

3.

The bar chart below shows the allotment of time (in minutes) per week for selected subjects in a certain school. What is the total time allocated to the six subjects per week? 4. The length a person can jump is inversely propotional to his weight. If a 20kg person can jump 1.5m. Find the constant of proportionality.

5. The mean of 2-t, 4-t, 3-2t and t-1 is

6. Simplify

 √147-√75 √48

7. If the angle of a sector of a circle with radius 10.5cm is 120° find the perimeter of the sector. π = 22/7

8. The table below represents the outcome of throwing a die 100 times. What is the probability of obtaining at least a 4?

 Number 1 2 3 4 5 6 Frequency 18 22 20 16 10 14

9. 10. Solve the inequality 1/3x + 1/4 > 1/2x + 1/3

11. Factorise 2y2 -15xy-18x2

12. Find the gradient of the Line joining the points P(5,6) and Q(3,3)

13. If x2 – 3x + 4, find dy/dx at x = 5

14.

Evaluate and correct to 1 decimal place
 1.25 x 0.025 0.05

15. Find the median of 5,9,1,10,3,8,9,2,4,5,5,5,7,3 and 6

16. If gt – k – w = 0, make g the subject of the formula

17.

Find the value of x in the figure below 18. 19. A man donates 10% of his monthly net earnings to his church. lf it amounts to ₦4,500, what is his net monthly income?

20. If y = 3 sin (-4x) dy/dx is

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