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Mathematics Past Questions

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

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Past Questions

62 questions

Question 1 of 20 62 total questions

Question 1

jamb 2015

Given that tan x = \(\frac{2}{3}\), where 0^o d" x d" 90^o, Find the value of 2sinx.

A\(\frac{2\sqrt{13}}{13}\)

B\(\frac{3\sqrt{13}}{13}\)

C\(\frac{4\sqrt{13}}{13}\)

D\(\frac{6\sqrt{13}}{13}\)

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Question 2

jamb 2015

Factorize \( a^2 − b^2 − 4a + 4 \)

A(a + b)(a − b)

B(a − 2 + b)(a - 2- b)

C(a + 1)(a − 2 + b)

D(a + b) 2

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Question 3

jamb 2015

Rationalize 5 ÷ (2 − √3)

A3(2 + √5)

B2(3 + √5)

C5(2 + √3)

D3 √2 + 1

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Question 4

jamb 2015

A public car dealer marked up the cost of a car at 30% in an attempt to make 20% gross profit. Due to the value of dollar, he now placed 20% discount on the car. What profit or loss will he make?

A3%

B2%

C4%

D1%

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Question 5

jamb 2015

Simplify 2.04 × 3.7 (Leave your answer in 2 decimal place)

A7.51

B7.71

C5.5

D7.55

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Question 6

jamb 2015

If duty is levied at 25%, find the duty to be added to a bill of N80.

AN100

BN20

CN80

DN150

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Question 7

jamb 2015

How many sides has a regular polygon whose interior angles are 120°each

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Question 8

jamb 2015

Solve the equation
\( 5^{(x − 2)} = (1 ÷ 125)^{(x +3)}\)

A3/2

B− 7/4

C4/7

D7/4

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Question 9

jamb 2015

The sum of two numbers is 5; their product is -14. Find the numbers.

Ax = 5 or 1

Bx = 7 or 1

Cx = 7 or 0

Dx = 7 or − 2

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Question 10

jamb 2015

If √ (2x + 2) − √x =1 ,find x.

Ax = 1 twice

Bx = 0 or 1

Cx = 3 or 1

Dx = 2 twice

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Question 11

jamb 2015

Simplify \(\sqrt{30}\) × \(\sqrt{40}\)

A10 √3

B5 √3

C20 √3

D15 √3

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Question 12

jamb 2015

Calculate the value of x and y if (27^x ÷ 81^x+2y = 9 ,x + 4y = 0

Ax = 1, y = 1/2

Bx = 2, y = – 1/2

Cx − 0, y = 1

Dx = 2, y = –1

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Question 13

jamb 2015

Given that Z = {1,2,4,5} what is the power of set Z?

A16

C10

D12

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Question 14

jamb 2015

The probability of an outcome A is 1/6 . The probability of the B outcome is 1/4 . If the probability of A or B or both is 1/12 . What is the probability of both outcomes A and B?

A1/2

B1/3

C2/5

D3/4

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Question 15

jamb 2015

The volume of a cone (s) of height 6cm and base radius 5cm is

A157cm³

B155cm³

C175cm³

D145cm³

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Question 16

jamb 2015

The area of an ellipse is 132cm\(^2\).The length of its major axis is 14cm.Find the length of its minor axis

A10.5cm

B5cm

C10cm

D12cm

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Question 17

jamb 2015

The area of a circle of radius 4cm is equal to (Take π = 3.142 )

A10.3cm²

B15.7cm²

C50.3cm²

D17.4cm²

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Question 18

jamb 2015

Simplify \( \frac{1}{(x + 1)} + \frac{1}{(x − 1)} \)

A2x/(x + 1)(x−3)

B2x/(x + 1)(x−1)

C2x/(x + 1)2

D2x(x+1)2

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Question 19

jamb 2015

Find the area of the curved surface of a cone whose base radius is 3cm and whose height is 4cm (π = 3.14)

A17.1cm²

B27.2cm²

C47.1cm²

D37.3cm²

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Question 20

jamb 2015

Integral ∫\( (5x^3 + 7x^2 − 2x + 5)\)dx

A\( \frac{5x^4}{4} + \frac{7x^3}{3} + 2x + C \)

B\( \frac{5x^4}{4} + \frac{7x^3}{3} - x^2 + 5x + C \)

C\( \frac{5x^3}{3} + \frac{7x^2}{x} - x + C \)

D\( \frac{2x^2}{3} + \frac{x}{5} - C \)

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