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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 1

waec 1999

In the diagram above, RST is a tangent to circle VSU center O ∠SVU = 50° and UV is a diameter. Calculate ∠RSV.

A90°

B50°

C45°

D40°

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Question 2

waec 1999

In the diagram, CDE is a triangle, ABEF is cyclic quadrilateral, AB||CD, ∠BAF = 65^o and ∠AFE = 85^o calculate ∠CDE

A20^o

B30^o

C50^o

D65^o

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Question 3

waec 1999

The sides of a right angle triangle in ascending order of magnitude are 8cm, (x-2)cm and x cm. Find x

A16

B17

C34

D90

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Question 4

waec 1999

In the diagram, O is the centre of the circle ∠PQR = 75o, ∠OPS = yo and \(\bar{OR}\) is parallel to \(\bar{PS}\). Find y

A15

B30

C45

D75

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Question 5

waec 1999

Which of the following statements is true from the diagram above?

Am + n = 90^o

Bm = n

Cn > 45^o

Dm < 45^o

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Question 6

waec 1999

Describe the locus L shown in the diagram below

ALocus of points equidistant from X and Y

BLocus of points equidistant from X and Z

CLocus of points equidistant from \(\bar{ZX}\) and \(\bar{ZY}\)

DLocus of points equidistant from \(\bar{XY}\) and \(\bar{ZY}\)

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Question 7

waec 1999

In the diagram, DE||BC, |AD| = x cm and |DB| = |AE| = ycm. Find |CE| in terms of x and y

B\(\frac{x^2}{y}\)

C\(\frac{y}{x^2}\)

D\(\frac{y^2}{x}\)

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Question 8

waec 1999

Solve the inequality 2x + 3 < 5x

A\(x>1\)

B\(x

C\(x>\frac{3}{7}\)

D\(x>-1\)

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Question 9

waec 1999

A survey shows that 28% of all the men in a village wear size 9 shoes. What is the probability that a man selected at random in the village wears size 9 shoes?

A\(\frac{7}{25}\)

B\(\frac{41}{50}\)

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

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Question 10

waec 1999

The root of a quadratic equation in x, are -m and 2n. Find the equation

A\(x^2 + x(m - 2n)-2mn=0\)

B\(x^2 - x(m - 2n)-2mn=0\)

C\(x^2 - x(m - 2n)+2mn=0\)

D\(x^2 + x(m - 2n)+2mn=0\)

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Question 11

waec 1999

If \(x^2 +15x + 50 = ax^2 + bx + c = 0\). Which of the following statement is not true?

Ax = -5

Bx = 10

Cx + 10 = 0

Dbc = 750

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Question 12

waec 1999

Which of the following pairs of inequalities is represented on the number line?

A\(x

B\(x\ge -2 and x>1\)

C\(x\le -2 and x\ge1\)

D\(x< -2 and x>1\)

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Question 13

waec 1999

Amina had m mangoes. She ate 3 and shared the remainder equally with her brother Uche. Each had at least 10. Which of the following inequalities represents the statements above.

A\(\frac{m}{2}-3\le 10\)

B\(\frac{m}{2}-3\ge 10\)

C\(\frac{m-3}{2}\ge10\)

D\(\frac{m-3}{2}\le10\)

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Question 14

waec 1999

Water flows from a tap into cylindrical container at the rate 5πcm\(^3\) per second. If the radius of the container is 3cm, calculate the level of water in the container at the end of 9 seconds.

A2cm

B5cm

C8cm

D15cm

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Question 15

waec 1999

The height and base of a triangle are in ratio 1:3 respectively. If the area of the triangle is 216 cm\(^2\), find the length of the base.

A24cm

B36cm

C72cm

D144cm

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Question 16

waec 1999

A car travel at x km per hour for 1 hour and at y km per hour for 2 hours. Find its average speed

A\(\frac{2x + 2y}{3}kmh^{-1}\)

B\(\frac{x + y}{3}kmh^{-1}\)

C\(\frac{x + 2y}{3}kmh^{-1}\)

D\(\frac{2x + y}{3}kmh^{-1}\)

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Question 17

waec 1999

Two numbers 24\(_{x}\) and 31\(_y\) are equal in value when converted to base ten. Find the equation connecting x and y

A2x = 3(y - 1)

B4x - y = 1

C3y + 2x = 3

D3y = 2 (x + 3)

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Question 18

waec 1999

Simplify 3.72 x 0.025 and express your answer in the standard form

A\(9.3\times 10^3\)

B\(9.3\times 10^2\)

C\(9.3\times 10^{-2}\)

D\(9.3\times 10^{-3}\)

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Question 19

waec 1999

The height of a pyramid on square base is 15cm. If the volume is 80cm\(^3\), find the length of the side of the base

A3.3cm

B5.3cm

C4.0cm

D8.0cm

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Question 20

waec 1999

In the diagram, PQST and QRST are parallelograms. Calculate the area of the trapezium PRST.

A60cm²

B50cm²

C40cm²

D30cm²

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