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Mathematics Past Questions

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

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Past Questions

43 questions

Question 1 of 20 43 total questions

Question 11

waec 1999

A pole of length L leans against a vertical wall so that it makes an angle of 60^o with the horizontal ground. If the top of the pole is 8m above the ground, calculate L.

A\(16\sqrt{3}m\)

B\(4\sqrt{3}m\)

C\(\frac{\sqrt{3}}{16}\)

D\(\frac{16\sqrt{3}}{3}\)

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Question 12

waec 1999

The diagram shows the position of three ships A, B and C at sea. B is due north of C such that |AB| = |BC| and the bearing of B from A = 040°. What is the bearing of A from C

A040^o

B070^o

C110^o

D290^o

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Question 13

waec 1999

From the diagram above. ABC is a triangle inscribed in a circle center O. ∠ACB = 40º and |AB| = x cm. Calculate the radius of the circle.

A\(\frac{x}{sin 40^o}\)

B\(\frac{x}{cos 40^o}\)

C\(\frac{x}{2 sin 40^o}\)

D\(\frac{x}{2 cos 40^o}\)

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Question 14

waec 1999

From the top of a cliff 20m high, a boat can be sighted at sea 75m from the foot of the cliff. Calculate the angle of depression of the boat from the top of the cliff

A14.9 ^o

B15.5 ^o

C74.5 ^o

D75.1 ^o

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Question 15

waec 1999

If \(tan x = \frac{1}{\sqrt{3}}\), find cos x - sin x such that \(0^o \leq x \leq 90^o\)

A\(\frac{\sqrt{3}+1}{2}\)

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

C\(\frac{\sqrt{3}-1}{2}\)

D\(\frac{2}{\sqrt{3}-1}\)

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Question 16

waec 1999

If y varies inversely as x\(^2\), how does x vary with y?

Ax varies inversely as y²

Bx varies inversely as √y

Cx varies directly as y²

Dx varies directly as y

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Question 17

waec 1999

Simplify \(\frac{4}{x+1}-\frac{3}{x-1}\)

A\(\frac{x+7}{x^2 - 1}\)

B\(\frac{x-7}{x^2 + 1}\)

C\(\frac{x-7}{x^2 - 1}\)

D\(\frac{x-11}{x^2 - 1}\)

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Question 18

waec 1999

Given that \(81\times 2^{2n-2} = K, find \sqrt{K}\)

A\(4.5\times 2^{n}\)

B\(4.5\times 2^{2n}\)

C\(9\times 2^{n-1}\)

D\(9\times 2^{2n}\)

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Question 19

waec 1999

If \(y = \sqrt{ax-b}\) express x in terms of y, a and b

A\(x = \frac{y^2-b}{a}\)

B\(x = \frac{y+b}{a}\)

C\(x = \frac{y-b}{a}\)

D\(x = \frac{y^2 + b}{a}\)

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Question 20

waec 1999

Simplify \(\frac{2-18m^2}{1+3m}\)

A\(2(1+3m)\)

B\(2(1+3m^2)\)

C\(2(1-3m)\)

D\(2(1-3m^2)\)

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Question 21

waec 1999

Given that m = -3 and n = 2 find the value of \(\frac{3n^2 - 2m^3}{m}\)

A-22

B-14

C14

D22

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Question 22

waec 1999

In the diagram, POR is a circle with center O. ∠QPR = 50°, ∠PQO = 30° and ∠ORP = m. Find m.

A20^o

B25^o

C30^o

D50^o

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Question 23

waec 1999

Calculate the value of Y in the diagram

A18^o

B42^o

C48^o

D132^o

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Question 24

waec 1999

In the diagram above, |XR| = |RY| = |YZ| and ∠XRY = ∠YRZ = 62o, Calculate ∠XYZ

A50^o

B62^o

C112^o

D115^o

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Question 25

waec 1999

Which of the following figures have one line of symmetry only? I. Isosceles triangle II. Rhombus III. Kite

AI and II only

BII and III only

CI and III only

DI, II, and III

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Question 26

waec 1999

The interior angle of a regular polygon is twice the exterior angle. How many sides has the polygon?

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Question 27

waec 1999

A group of 11 people can speak either English or French or Both. Seven can speak English and six can speak French. What is the probability that a person chosen at random can speak both English and French?

A\(\frac{2}{11}\)

B\(\frac{4}{11}\)

C\(\frac{5}{11}\)

D\(\frac{11}{13}\)

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Question 28

waec 1999

The pie chart illustrate the amount of private time a student spends in a week studying various subjects. use it to answer the question below

If he sends \(2\frac{1}{2}\) hours week on science, find the total number of hours he studies in a week

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

B5 hours

C8 hours

D12 hours

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Question 29

waec 1999

The pie chart illustrate the amount of private time a student spends in a week studying various subjects. use it to answer the question below
Find the value of K

A15^o

B30^o

C60^o

D90^o

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Question 30

waec 1999

From a set \(A = [3, \sqrt{2}, 2\sqrt{3}, \sqrt{9}, \sqrt{7}]\), a number is selected at random. Find the probability that is a rational number

A\(\frac{1}{5}\)

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

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

D\(\frac{4}{5}\)

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