# Mathematics Past Questions | JAMB, WAEC, NECO and Post UTME Past Questions

Mathematics studies measurement, relationships, and properties of quantities and sets, using numbers and symbols. Arithmetic, algebra, geometry, and calculus are popular topics in mathematics.

Study the following Mathematics past questions and answers for JAMB, WAEC, NECO and Post UTME. Prepare yourself with past questions and answers for your upcoming examinations.

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### Question 1

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

### Options

A) $$4(2x+5)(x-4)$$

B) $$4(2x+5)(4x-3)$$

C) $$(2x+5)(2x-13)$$

D) $$(2x+5)(6x-11)$$ ### Question 2

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

### Options

A) $$20\frac{1}{3}$$ sq. units

B) $$20\frac{2}{3}$$ sq. units

C) $$10\frac{2}{3}$$ sq. units

D) $$10\frac{1}{3}$$ sq. units ### Question 3

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

### Options

A) $$12\pi$$

B) $$4\pi$$ C) $$24\pi$$

D) $$8\pi$$

### Question 4

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

### Options

A) $$\frac{- \pi}{2}$$

B) $$-1$$

C) $$1$$ D) $$\frac{\pi}{2}$$

### Question 5

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

### Options

A) square of sides $$p$$

B) square of sides $$2p$$

C) square of sides $$\frac{p}{2}$$

D) square of sides $$\frac{p}{4}$$ ### 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.

### Options

A) $$49$$

B) $$121$$ C) $$25$$

D) $$64$$

### Question 7

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

### Options

A) $$\frac{2}{3}$$

B) $$\frac{1}{2}$$

C) $$\frac{1}{3}$$ D) $$\frac{1}{4}$$

### 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

### Options

A) $$7.0$$

B) $$8.7$$ C) $$9.5$$

D) $$11.0$$

### Question 9

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

### Options

A) $$30$$ B) $$33$$

C) $$35$$

D) $$15$$

### 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.

### Options

A) $$\frac{7}{15}$$

B) $$\frac{2}{5}$$

C) $$\frac{1}{3}$$ D) $$\frac{1}{15}$$