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Mathematics Past Questions

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

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Past Questions

48 questions

Question 1 of 20 48 total questions

Question 11

waec 1993

If sin x = cos 50^o, then x equals

A40^o

B45^o

C50^o

D90^o

E130^o

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Question 12

waec 1993

A plane tiles 90km on a bearing 030° and then flies 150km due east. How far east of the starting point is the plane?

A120km

B165km

C195km

D(150 + 45√3)km

E240km

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Question 13

waec 1993

State the fifth and seventh terms of the sequence \(-2, -3, -4\frac{1}{2}, ...\)

A\(-\frac{81}{8}, -\frac{729}{32}\)

B\(\frac{8}{81}, \frac{72}{39}\)

C\(\frac{27}{729}, \frac{718}{39}\)

D\(-\frac{27}{16}, -\frac{79}{81}\)

E\(-\frac{21}{8}, \frac{32}{618}\)

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Question 14

waec 1993

Simplify \(\frac{2.25}{0.015}\) leaving your answer in standard form

A1.5 x 10^-4

B1.5 x 10^-2

C1.5 x 10^-3

D1.5 x 10¹

E1.5 x 10²

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Question 15

waec 1993

In the diagram above, QRS is a straight line, QP//RT, PRQ = 56°, ∠QPR =84° and ∠TRS = x°. Find x

A28°

B40°

C44°

D84°

E124°

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Question 16

waec 1993

Two chords PQ and RS of a circle when produced meet at K. If ∠KPS = 31^o and ∠PKR = 42^o, find ∠KQR

A11^o

B73^o

C107^o

D138^o

E149^o

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Question 17

waec 1993

In the diagram above, |PQ| = |QR|, |PS| = |RS|, ∠PSR = 30o and ∠PQR = 80o. Find ∠SPQ.

A15^o

B25^o

C40^o

D50^o

E55^o

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Question 18

waec 1993

In the diagram above, |QR| = 12cm and |QS| = 10cm. If ∠PQR = 90°, ∠RSQ = 90° and PSQ is a straight line, find |PS|

A3.3cm

B4.4cm

C5cm

D5.5cm

E6.6cm

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Question 19

waec 1993

The sum of an interior angles of a regular polygon is 30 right angles. How many sides has the polygon?

A34 sides

B30 sides

C26 sides

D17 sides

E15 sides

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Question 20

waec 1993

In the diagram, PQR is a tangent to the circle QST at Q. If |QT| = |ST| and ∠SQR = 68°, find ∠PQT.

A34^o

B48^o

C56^o

D68^o

E73^o

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Question 21

waec 1993

The angle of a sector of a circle radius 10.5cm is 120°. Find the perimeter of the sector [Take π = 22/7]

A22cm

B33.5cm

C43cm

D66cm

E115.5cm

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Question 22

waec 1993

The area and a diagonal of a rhombus are 60 cm\(^2\) and 12 cm respectively. Calculate the length of the other diagonal.

A5cm

B6cm

C10cm

D12cm

E15cm

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Question 23

waec 1993

A cone is 14cm deep and the base radius is 4\(\frac{1}{2}\)cm. Calculate the volume of water that is exactly half the volume of the cone.[Take π = \(\frac{22}{7}\)]

A49.5cm³

B99cm³

C148.5cm³

D297cm³

E445.5cm³

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Question 24

waec 1993

Calculate the total surface area of a cone of height 12cm and base radius 5cm. [Take π = 22/7]

A180\(\frac{5}{7}\)cm\(^2\)

B240\(\frac{2}{7}\)cm\(^2\)

C235\(\frac{5}{7}\)cm\(^2\)

D282\(\frac{6}{7}\)cm\(^2\)

E361\(\frac{3}{7}\)cm\(^2\)

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Question 25

waec 1993

A sector of a circle of radius 9cm subtends angle 120° at the centre of the circle. Find the area of the sector to the nearest cm\(^2\) [Take π = 22/7]

A75cm²

B84cm²

C85cm²

D86cm²

E95cm²

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Question 26

waec 1993

Solve the simultaneous equations y = 3x; 4y - 5x =14

A.-2,-6

B2,6

C2,-6

D-2,6

E-1,-3

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Question 27

waec 1993

Factorize 2x\(^2\) - 21x + 45

A(2x - 9)(x - 5)

B(2x-15)(x + 3)

C(2x +15)(x - 3)

D(2x -15(x - 3)

E(2x - 9)(x + 5)

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Question 28

waec 1993

Write as a single fraction: \(\frac{5}{6r} - \frac{3}{4r}\)

r/12

12/r

1/6r

r/6

1/12r

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Question 29

waec 1993

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

A(-3, 1)

B(-1, -3)

C(3,1)

D(43, 0)

E(-1, 3).

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Question 30

waec 1993

Factorize the expression 2s\(^2\) - 3st - 2t\(^2\).

A(2s - t)(s + 2t)

B(2s + t)(s - 2t)

C(s + t)(2s - 1)

D(2s + t)(s -t)

E(2s + t)(s + 2t)

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