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Mathematics Past Questions

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4,407 questions JAMB 2359 WAEC 1853 NECO 179 POST_UTME 6 CUSTOM 10

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4,407 questions

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Question 331

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 332

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 333

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 334

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 335

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 336

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 337

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 338

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 339

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 340

waec 2019

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

A12

C-7

D-12

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Question 341

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 342

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 343

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 344

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 345

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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Question 346

waec 2019

Evaluate: 2\(\sqrt{28} - 3\sqrt{50} + \sqrt{72}\)

A4\(\sqrt{7} - 21 \sqrt{2}\)

B4\(\sqrt{7} - 11 \sqrt{2}\)

C4\(\sqrt{7} - 9 \sqrt{2}\)

D4\(\sqrt{7} + \sqrt{2}\)

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Question 347

waec 2019

If 6, P, and 14 are consecutive terms in an Arithmetic Progression (AP), find the value of P.

B10

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Question 348

waec 2019

If 23\(_y\) = 1111\(_{\text{two}}\), find the value of y

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Question 349

waec 2019

Evaluate; \(\frac{\log_3 9 - \log_2 8}{\log_3 9}\)

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

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

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

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

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Question 350

waec 2019

If T = {prime numbers} and M = {odd numbers} are subsets of \(\mu\) = {x : 0 < x ≤ 10} and x is an integer, find (T\(^{\prime}\) n M\(^{\prime}\)).

A{4, 6, 8, 10}

B{1. 4, 6, 8, 10}

C{1, 2, 4, 6, 8, 10}

D{1, 2, 3, 5, 7, 8, 9}

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