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# Mathematics Study Centre for JAMB, WAEC and NECO

Mathematics is the abstract science of number, quantity, and space, either as abstract concepts (pure mathematics), or as applied to other disciplines such as physics and engineering (applied mathematics). This study centre is designed to help you become a better mathematics student.

## Past Questions (133) - Page 1

### Question 1

Differentiate $$(2x+5)^2(x-4)$$ with respect to x.

Exam Body: JAMB

### Question 2

Find the area bounded by the curves $$y = 4 - x^2$$ and $$y = 2x + 1$$

Exam Body: JAMB

### Question 3

Find the rate of change of the volume, $$V$$ of a sphere with respect to its radius, $$r$$ when $$r = 1.$$

Exam Body: JAMB

### Question 4

If $$y = x \; \mathrm{sin} \; x,$$ find $$\frac{dy}{dx}$$ when $$x = \frac{\pi}{2}.$$

Exam Body: JAMB

### Question 5

Find the dimensions of a rectangle of greatest area which has a fixed perimeter $$p.$$

Exam Body: JAMB

### Question 6

Given the scores: $$4, 7, 8, 11, 13, 8$$ with corresponding frequencies: $$3, 5, 2, 7, 2, 1$$ respectively. Find the square of the mode.

Exam Body: JAMB

### Question 7

Teams $$P$$ and $$Q$$ are involved in a game of football. What is the probability that the game ends in a draw?

Exam Body: JAMB

### Question 8

Given the scores: $$4, 7, 8, 11, 13, 8$$ with corresponding frequencies: $$3, 5, 2, 7, 2, 1$$ respectively. The mean score is

Exam Body: JAMB

### Question 9

If $$^6\mathrm{P}_r = 6,$$ find the value of $$^6\mathrm{P}_{r + 1}$$

Exam Body: JAMB

### Question 10

Given distribution of color beads: blue, black, yellow, white and brown with frequencies $$1, 2, 3, 4,$$ and $$5$$ respectively. Find the probability that a bead picked at random will be blue or white.

Exam Body: JAMB

### Question 11

Find the variance of $$2, 6, 8, 6, 2,$$ and $$6.$$

Exam Body: JAMB

### Question 12

Find the number of ways of selecting $$8$$ subjects from $$12$$ subjects for an examination.

Exam Body: JAMB

### Question 13

Find the range of these fractions: $$\frac{1}{6}, \frac{1}{3}, \frac{3}{2}, \frac{2}{3}, \frac{8}{9}$$ and $$\frac{4}{3}.$$

Exam Body: JAMB

### Question 14

Without using tables, evaluate $$(343)^{\frac{1}{3}} \times (0.14)^{-1} \times (25)^{\frac{-1}{2}}$$

Exam Body: JAMB

### Question 15

In a school, $$220$$ students offer Biology or Mathematics or both. $$125$$ offer Biology and $$110$$ mathematics. How many offer Biology but not Mathematics?

Exam Body: JAMB

### Question 16

Simplify $$52.4 - 5.7 - 3.45 - 1.75$$

Exam Body: JAMB

### Question 17

Simplify $$(\sqrt{0.7} + \sqrt{70})^2$$

Exam Body: JAMB

### Question 18

Evaluate:$$(0.21 \times 0.072 \times 0.00054)$$ $$\div (0.006 \times 1.68 \times 0.063),$$ correct to 4.s.f

Exam Body: JAMB

### Question 19

A trader bought goats for $$₦4000$$ each. He sold them for $$₦180,000$$ at a loss of $$25%.$$ How many goats did he buy?

Exam Body: JAMB

### Question 20

If $$\frac{dy}{dx} = 2x - 3$$ and $$y = 3$$ when $$x = 0,$$ find $$y$$ in terms of $$x.$$

Exam Body: JAMB