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Mathematics Past Questions

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

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96 questions

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Question 21

waec 2013

Four oranges sell for Nx and three mangoes sell for Ny. Olu bought 24 oranges and 12 mangoes. How much did he pay in terms of x and y?

AN94x + 6y)

BN(6x + 4y)

CN(24x + 12y)

DN(12x + 24y)

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Question 22

waec 2013

A sales boy gave a change of N68 instead of N72. Calculate his percentage error

A4%

B5\(\frac{5}{9}\)%

C5\(\frac{15}{17}\)%

D7%

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Question 23

waec 2013

If \(\sqrt{50} - K\sqrt{8} = \frac{2}{\sqrt{2}}\), find K

A-2

B-1

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Question 24

waec 2013

If Un = n(n² + 1), evaluate U5 - U4

A18

B56

C62

D80

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Question 25

waec 2013

Simplify \(\frac{1\frac{7}{8} \times 2\frac{2}{5}}{6\frac{3}{4} \div \frac{3}{4}}\)

B4\(\frac{1}{2}\)

D\(\frac{1}{2}\)

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Question 26

waec 2013

In what number base is the addition 465 + 24 + 225 = 1050?

Aten

Bnine

Ceight

Dseven

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Question 27

waec 2013

If 9^{(2 - x)} = 3, find x

B\(\frac{3}{2}\)

D\(\frac{5}{2}\)

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Question 28

waec 2013

Multiply 2.7 x 10^-4 by 6.3 x 10⁶ and leave your answers in standard form

A1.7 x 10³

B1.70 x 10³

C1.701 x 10³

D17.01 x 10³

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Question 29

jamb 2013

P, Q, and R are subsets of the universal set U. The Venn diagram showing the relationship \((P \cap Q) \cup R\) is

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Question 30

jamb 2013

Evaluate \(\int_{0} ^{\frac{\pi}{2}} \sin x \mathrm d x\)

A-2

D-1

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Question 31

jamb 2013

Integrate \(\frac{1 + x}{x^{3}} \mathrm d x\)

A\(2x^{2} - \frac{1}{x} + k\)

B\(-\frac{1}{2x^{2}} - \frac{1}{x} + k\)

C\(-\frac{x^{2}}{2} - \frac{1}{x} + k\)

D\(x^{2} - \frac{1}{x} + k\)

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Question 32

jamb 2013

If \(\tan \theta = \frac{3}{4}\), find the value of \(\sin \theta + \cos \theta\).

A\(1\frac{1}{3}\)

B\(1\frac{2}{3}\)

C\(1\frac{3}{5}\)

D\(1\frac{2}{5}\)

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Question 33

jamb 2013

In triangle PQR, q = 8 cm, r = 6 cm and cos P = \(\frac{1}{12}\). Calculate the value of p.

A\(\sqrt{108}\) cm

B9 cm

C\(\sqrt{92}\) cm

D10 cm

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Question 34

jamb 2013

Find the equation of the perpendicular bisector of the line joining P(2, -3) to Q(-5, 1)

A8y + 14x + 13 = 0

B8y - 14x + 13 = 0

C8y - 14x - 13 = 0

D8y + 14x - 13 = 0

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Question 35

jamb 2013

If the midpoint of the line PQ is (2,3) and the point P is (-2, 1), find the coordinate of the point Q.

A(8,6)

B(5,6)

C(0,4)

D(6,5)

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Question 36

jamb 2013

The locus of the points which is equidistant from the line PQ forms a

Aperpendicular line to PQ

Bcircle centre P

Ccircle centre Q

Dpair of parallel lines to PQ

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Question 37

jamb 2013

A chord of a circle subtends an angle of 120° at the centre of a circle of diameter \(4\sqrt{3} cm\). Calculate the area of the major sector.

A32\(\pi\) cm\(^2\)

B4\(\pi\) cm\(^2\)

C8\(\pi\) cm\(^2\)

D16\(\pi\) cm\(^2\)

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Question 38

jamb 2013

Find the length of a chord which subtends an angle of 90° at the centre of a circle whose radius is 8 cm.

A\(8\sqrt{3}\) cm

B4 cm

C8 cm

D\(8\sqrt{2}\) cm

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Question 39

jamb 2013

A square tile has side 30 cm. How many of these tiles will cover a rectangular floor of length 7.2m and width 4.2m?

A720

B336

C420

D576

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Question 40

jamb 2013

If the angles of a quadrilateral are (3y + 10)°, (2y + 30)°, (y + 20)° and 4y°. Find the value of y.

A66°

B12°

C30°

D42°

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