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Mathematics Past Questions

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1,853 questions JAMB 2359 WAEC 1853 NECO 179 POST_UTME 6 CUSTOM 10

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1,853 questions

Question 1 of 20 1,853 total questions

Question 151

waec 2019

The fourth term of an Arithmetic Progression (A.P) is 37 and the first term is -20. Find the common difference.

B57

C 19

D17

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Question 152

waec 2019

Calculate the variance of 2, 4, 7, 8 and 9

A7.2

B6.8

C3.5

D2.6

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Question 153

waec 2019

In the diagram, RT is a tangent to the circle at R, < PQR = 70$^o$, < QRT = 52$^o$, < QSR and < PRQ = x. Calculate the value of x.

A70$^o$

B58$^o$

C55$^o$

D48$^o$

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Question 154

waec 2019

In the diagram, RT is a tangent to the circle at R, < PQR = 70$^o$, < QRT = 52$^o$, < QSR and < PRQ = x. Find the value of y.

A70$^o$

B60$^o$

C52$^o$

D18$^o$

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Question 155

waec 2019

In the diagram, O is the centre of the circle of radius 18cm. If < zxy = 70$^o$, calculate the length of arc ZY. [Take $\pi = \frac{22}{7}$]

A11cm

B22 cm

C44 cm

D80 cm

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Question 156

waec 2019

From the top of a vertical cliff 20m high, a boat at sea can be sighted 75m away and on the same horizontal position as the cliff. Calculate, correct to the nearest degree, the angle of depression of the boat from the top of the cliff.

A56$^o$

B75$^o$

C16$^o$

D15$^o$

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Question 157

waec 2019

If tan x = $\frac{3}{4}$, 0 < x < 90$^o$, evaluate $\frac{\cos x}{2 sin x}$

A$\frac{8}{3}$

B$\frac{3}{2}$

C$\frac{4}{3}$

D$\frac{2}{3}$

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Question 158

waec 2019

The foot of a ladder is 6m from the base of an electric pole. The top of the ladder rest against the pole at a point 8m above the ground. How long is the ladder?

A14m

B12m

C10m

D7m

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Question 159

waec 2019

Find the equation of a straight line passing through the point (1, -5) and having gradient of $\frac{3}{4}$

A3x + 4y - 23 = 0

B3x + 4y +23 = 0

C3x - 4y +23 = 0

D3x - 4y - 23 = 0

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Question 160

waec 2019

A box contains 2 white and 3 blue identical balls. If two balls are picked at random from the box, one after the other with replacement, what is the probability that they are of different colours?

A$\frac{2}{3}$

B$\frac{3}{5}$

C$\frac{7}{20}$

D$\frac{12}{25}$

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Question 161

waec 2019

The interior angles of a polygon are 3x$^o$, 2x$^o$, 4x$^o$, 3x$^o$ and 6x$^o$. Find the size of the smallest angle of the polygon.

A80$^o$

B60$^o$

C40$^o$

D30$^o$

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Question 162

waec 2019

Factorize completely; (2x + 2y)(x - y) + (2x - 2y)(x + y)

A4(x - y)(x + y)

B(4(x - y)

C2(x - y)(x + y)

D2(x - y)

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Question 163

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 164

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 165

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 166

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 167

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 168

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 169

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 170

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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