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Mathematics Past Questions

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

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94 questions

Question 1 of 20 94 total questions

Question 11

waec 1995

The positions of two countries P and Q are (15°N, 12°E) and (65°N, 12°E) respectively. What is the difference in latitude?

A104^o

B100^o

C80^o

D50^o

E24^o

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Question 12

waec 1995

The diagram above shows a cone with the dimensions of its frustrum indicated. Calculate the height of the cone.

A12cm

B15cm

C18cm

D24cm

E30cm

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Question 13

waec 1995

A hollow sphere has a volume of kcm3 and a surface area of kcm2. Calculate the diameter of the sphere.

A3cm

B6cm

C9cm

D12cm

EMore information is needed

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Question 14

waec 1995

Find the total surface area of solid circular cone with base radius 3cm and slant height 4cm. [Take π = 22/7]

A37 5/7cm²

B66cm²

C75 3/7cm²

D78 2/7cm²

E88cm²

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Question 15

waec 1995

A cylindrical container, closed at both ends, has a radius of 7cm and height 5cm [Take π = 22/7]

What is the volume of the container?

A35cm³

B154cm³

C220cm³

D528cm³

E770cm³

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Question 16

waec 1995

A cylindrical container, closed at both ends, has a radius of 7cm and height 5cm [Take π = 22/7]

Find the total surface area of the container

A35cm³

B154cm³

C220cm²

D528cm²

E770cm²

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Question 17

waec 1995

A water tank of height \(\frac{1}{2}\) m has a square base of side \(1\frac{1}{2}\) m. lf it is filled with water from a water tanker holding 1500 litres, how many litres of water are left in the water tanker? [1000 litres = 1m\(^3\)]

A37.5litres

B375 litres

C3750 litres

D37500 litres

E375000 litres

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Question 18

waec 1995

The diagonals AC and BD of a rhombus ABCD are 16cm and 12cm long respectively. Calculate the area of the rhombus.

A24cm²

B36cm²

C48cm²

D60cm²

E96cm²

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Question 19

waec 1995

In the diagram above. |AB| = 12cm, |AE| = 8cm, |DCl = 9cm and AB||DC. Calculate |EC|

A10cm

B9cm

C8cm

D7cm

E6cm

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Question 20

waec 1995

Use the graph of y = 3x\(^2\) + x - 7 above to answer the question

Find the roots of the equation y=3x\(^2\) + x - 7

A1.0 And -1.2

B1.1and-1.3

C1.4and-1.7

D2.0 and -1.9

E2.4 and -2.0

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Question 21

waec 1995

Use the graph of y = 3x\(^2\) + x - 7 above to answer the question

What is the minimum value of y?

A-10

B-7

C-4

D-1

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Question 22

waec 1995

Solve the following simultaneous equations: x+ y = 3/2; x - y = 5/2 and use your result to find the value of 2y + x

A-2

B-1

C¹/₂

E3¹/₂

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Question 23

waec 1995

Solve the equation (x +2)(x - 7) = 0

Ax = 1 or 8

Bx = -2 or 7

Cx = -4 or 5

Dx = -3 or 6

Ex= -5 or -2

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Question 24

waec 1995

Solve the equation 3x\(^2\) + 25x -18 = 0

A-3,2

B-2,3

C-2,9

D-9,2/3

E2/3, 9.

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Question 25

waec 1995

If \(y \propto \frac{1}{x^2}\) and x = 3 when y = 4, find y when x = 2.

D18

E21

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Question 26

waec 1995

Factorize the expression x(a - c) + y(c - a)

A(a - c)(y - x)

B(a - c)(x - y)

C(a + c)(x - y)

D(a + c)(x + y)

E(a - c)(x + y)

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Question 27

waec 1995

What is the smaller value of x for which x\(^2\) - 3x + 2= 0?

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Question 28

waec 1995

Solve the inequality: \(\frac{1}{3}(2x - 1) < 5\)

Ax < - 5

Ex < 16

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Question 29

waec 1995

Which of the following could be the inequality illustrated in the sketch graph above?

Ay≥2x+3

By≤-3x+3

Cy < 3x+2

Dy≤x +3

Ey≥3x+2.

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Question 30

waec 1995

Find the value(s) of x for which the expression is undefined: \(\frac{6x - 1}{x^2 + 4x - 5}\)

A+4 or+1

B-5 or +1

C-5 or -1

D+5 or -1

E\(\frac{1}{6}\)

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