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Mathematics Past Questions

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50 questions JAMB 2359 WAEC 1853 NECO 179 POST_UTME 6 CUSTOM 10

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Past Questions

50 questions

Question 1 of 20 50 total questions

Question 11

waec 2019

In the diagram, POS and ROT are straight lines. OPQR is a parallelogram, |OS| = |OT| and ∠OST = 50°. Calculate the value of ∠OPQ.

A100$^o$

B120$^o$

C140$^o$

D160$^o$

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Question 12

waec 2019

A rectangular board has a length of 15cm and width x cm. If its sides are doubled, find its new area.

A60x cm$^2$

B45x cm$^2$

C30x cm$^2$

D15x cm$^2$

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Question 13

waec 2019

Find the angle at which an arc of length 22 cm subtends at the centre of a circle of radius 15cm. [Take $\pi = \frac{22}{7}$]

A70$^o$

B84$^o$

C96$^o$

D156$^o$

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Question 14

waec 2019

Eric sold his house through an agent who charged 8% commission on the selling price. If Eric received $117,760.00 after the sale, what was the selling price of the house?

A$130,000.00

B$128,000.00

C$125,000.00

D$120,000.00

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Question 15

waec 2019

Make b the subject of the relation lb = $\frac{1}{2}$ (a + b)h

A$\frac{ah}{2l - h}$

B$\frac{2l - h}{al}$

C$\frac{al}{2l - h}$

D$\frac{al}{2 - h}$

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Question 16

waec 2019

An arc subtends an angle of 72$^o$ at the centre of a circle. Find the length of the arc if the radius of the circle is 3.5 cm. [Take $\pi = \frac{22}{7}$]

A6.6 cm

B8.8 cm

C4.4 cm

D2.2 cm

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Question 17

waec 2019

If log$_x$ 2 = 0.3, evaluate log$_x$ 8.

A2.4

B1.2

C0.9

D0.6

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Question 18

waec 2019

In XYZ, |YZ| = 32cm, < YXZ 53$^o$ and XZY = 90$^o$. Find, correct to the nearest centimetre, |XZ|

A31 cm

B25 cm

C20 cm

D13 cm

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Question 19

waec 2019

If 2$^{a}$ = $\sqrt{64}$ and $\frac{b}{a}$ = 3, evaluate a$^2 + b^{2}$

A250

B160

C90

D48

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Question 20

waec 2019

The total surface area of a solid cylinder 165cm$^2$. Of the base diameter is 7cm, calculate its height. [Take $\pi = \frac{22}{7}$]

A7.5 cm

B4.5 cm

C4.0 cm

D2.0 cm

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Question 21

waec 2019

Which of these values would make $\frac{3p - 1}{p^{2} - p}$ undefined?

B$\frac{1}{3}$

C-$\frac{1}{3}$

D-1

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Question 22

waec 2019

Simplify: $\frac{x^2 - 5x - 14}{x^2 - 9x + 14}$

A$\frac{x - 7}{x + 7}$

B$\frac{x + 7}{x - 7}$

C$\frac{x - 2}{x + 4}$

D$\frac{x + 2}{x - 2}$

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Question 23

waec 2019

There are 8 boys and 4 girls in a lift. What is the probability that the first person who steps out of the lift will be a boy?

A$\frac{1}{6}$

B$\frac{1}{4}$

C$\frac{2}{3}$

D$\frac{1}{2}$

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Question 24

waec 2019

If (0.25)$^y$ = 32, find the value of y.

Ay = - $\frac{5}{2}$

By = -$\frac{3}{2}$

Cy = $\frac{3}{2}$

Dy = $\frac{5}{2}$

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Question 25

waec 2019

If 3p = 4q and 9p = 8q - 12, find the value of pq.

A12

C-7

D-12

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Question 26

waec 2019

Bala sold an article for #6,900.00 and made a profit of 15%. Calculate his percentage profit if he had sold it for N6,600.00.

A5%

B10%

C12%

D13%

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Question 27

waec 2019

Simplify: $\log_{10}$ 6 - 3 log$_{10}$ 3 + $\frac{2}{3} \log_{10} 27$

A3 $\log_{10}^2$

B$\log_{10}^2$

C$\log_{10}^3$

D2 $\log_{10}^3$

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Question 28

waec 2019

Solve $4x^{2}$ - 16x + 15 = 0.

Ax = 1$\frac{1}{2}$ or x = -2$\frac{1}{2}$

Bx = 1$\frac{1}{2}$ or x = 2$\frac{1}{2}$

Cx = 1$\frac{1}{2}$ or x = -1$\frac{1}{2}$

Dx = -1$\frac{1}{2}$ or x -2$\frac{1}{2}$

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Question 29

waec 2019

H varies directly as p and inversely as the square of y. If H = 1, p = 8 and y = 2, find H in terms of p and y.

AH = $\frac{p}{4y^2}$

BH = $\frac{2p}{y^2}$

CH = $\frac{p}{2y^2}$

DH = $\frac{p}{y^2}$

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Question 30

waec 2019

If m : n = 2 : 1, evaluate $\frac{3m^2 - 2n^2}{m^2 + mn}$

A$\frac{4}{3}$

B$\frac{5}{3}$

C$\frac{3}{4}$

D$\frac{3}{5}$

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