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

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### Question 11

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

### Options

A) $$6$$

B) $$5$$

C) $$\sqrt{6}$$

D) $$\sqrt{5}$$

### Question 12

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

### Options

A) $$490$$

B) $$495$$

C) $$496$$

D) $$498$$

### Question 13

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

### Options

A) $$\frac{3}{4}$$

B) $$\frac{5}{6}$$

C) $$\frac{7}{6}$$

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

### Question 14

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

### Options

A) $$10$$

B) $$12$$

C) $$8$$

D) $$7$$

### 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?

### Options

A) $$95$$

B) $$80$$

C) $$125$$

D) $$110$$

### Question 16

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

### Options

A) $$41.4$$

B) $$41.5$$

C) $$42.1$$

D) $$42.2$$

### Question 17

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

### Options

A) $$84.7$$

B) $$70.7$$

C) $$217.7$$

D) $$168.7$$

### 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

### Options

A) $$0.01286$$

B) $$0.01285$$

C) $$0.1286$$

D) $$0.1285$$

### 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?

### Options

A) $$60$$

B) $$50$$

C) $$45$$

D) $$36$$

### Question 20

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

### Options

A) $$2x^2 - 3x$$

B) $$x^2 - 3x$$

C) $$x^2 - 3x - 3$$

D) $$x^2 - 3x + 3$$