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Mathematics Past Questions

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

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Past Questions

133 questions

Question 1 of 20 133 total questions

Question 1

neco 2008

Find the value of log\(_{\sqrt{3}}\) 81

A81

B16

E\(\sqrt{3}\)

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Question 2

neco 2008

P = {x:(x - 2)(x + 3) (x - 4)(x + 5) = 0}. The elements in P are

A-5,-2, 3, 4

B-5, -3, 2, 4

C-5, -3, -2,4

D-4, -3, -2, 5

E2, 3, 4, 5

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Question 3

neco 2008

which of the following properties is/are common to parallelograms and rectangles?
I. all angles are right angles
II. the diagonals are equals.
III. the opposite sides are equal and parallel.

AI and II

BI and III

CII and III

EIII

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Question 4

neco 2008

If 5x - 3 = 4x - 7, what is the value 6x?

A24

D-4

E-24

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Question 5

neco 2008

Evaluate (2⁵ × 4^-2) ÷ (2^-3 × 2⁶)

D\(\frac{8}{9}\)

E\(\frac{1}{4}\)

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Question 6

neco 2008

T varies inversely as the square root of F when T = 7, F = 2\(\frac{1}{4}\). Find T when F = \(\frac{27}{9}\)

A1.5

B6.1

C6.3

D12.6

E21

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Question 7

neco 2008

The graph of cumulative frequency distribution is known as

Aan ogive

Ba histogram

Ca frequency polygon

Drelative frequency

Enone

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Question 8

neco 2008

If A = \(\frac{1}{2}\)h (a + b), make ‘a’ the subject of the formula

A(2A – 2bh) ÷ b

B(2A – bh) ÷ h

C(2A – bh) ÷ b

D(A – 2bh) ÷ h

E(2A – h) ÷ bh

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Question 9

neco 2008

The median of a distribution can be estimated from

ABarchart

BCumulative frequency curve

CFrequency polygon

DPictorial

EPie chart

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Question 10

neco 2008

Multiply (3\(\sqrt{a}\) - 4a) by (4a + 3\(\sqrt{a}\))

A9a + 16a²

B9a – 16a²

C3a + 16a²

D3a - 16a²

Ea - 16a²

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Question 11

neco 2008

If tan α = \(\frac{1}{2}\) and tan β = \(\frac{1}{3}\) and both α and β are acute, find tan (α + β).

A0.015

C10

D39.81

E45

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Question 12

neco 2008

Bello chooses a number randomly from 1 to 10. What is the probability that it is either odd or prime?

A\(\frac{1}{10}\)

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

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

D\(\frac{3}{5}\)

E\(\frac{9}{10}\)

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Question 13

neco 2008

In proving the congruence of two triangles, which of the following is not important?

Atwo sides and the included angles

Btwo angles and a side

Cthree sides

Dthree angles

Eright angle, hypotenuse and another side

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Question 14

neco 2008

Rationalize the expression \(\frac{(7 - \sqrt{3})}{(13 - \sqrt{3})}\)

A(44 + 3\(\sqrt{3}\)) ÷ 83

B(44 + 2\(\sqrt{3}\)) ÷ 83

C(44 - 3\(\sqrt{3}\)) ÷ 83

D(44 - 4\(\sqrt{3}\)) ÷ 83

E(44 - 2\(\sqrt{3}\)) ÷ 83

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Question 15

neco 2008

A chord XY of a circle with centre O and radius 5.32cm has ∠XOY = 140°. What is the length of the chord to the nearest centimetre?

A10cm

B6cm

C5cm

D3cm

E1cm

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Question 16

neco 2008

Construct a quadratic equation whose roots are -\(\frac{3}{2}\) and 7

A3x² + 11x + 21 = 0

B2x² + 11x + 21 = 0

C2x² - 11x – 21 = 0

D3x² - 11x - 21 = 0

Ex² - 11x – 21 = 0

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Question 17

neco 2008

If N25,000.00 is kept in a bank at the rate of 2% simple interest, how much will it amount to at the end of 5 years?

AN2,500.00

BN5,000.00

CN12,500.00

DN27,500.00

EN125,000.00

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Question 18

neco 2008

If y + \(\frac{1}{y}\) = 9, evaluate y² + \(\frac{1}{y^2}\)

A27

B38

C54

D63

E79

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Question 19

neco 2008

Which of the following angular inequalities defines an obtuse angle?

A0° < x < 90°

B0° ≤ x > 180°

C90° < x < 180°

D90° ≤ x < 180°

E90° > x < 180°

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Question 20

neco 2008

Find the coefficient of xy in the expansion of (x - 4y)(3x + 2y)

A14

B12

C10

D-10

E-12

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