Mathematics Past Questions

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Past Questions

1,853 questions
Question 1 of 20 1,853 total questions
Question 791
waec 1993

Find the median of the set of numbers 12, 15, 13, 14, 12, 12.

A12
B12.5
C13
D13.5
E14
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Question 792
waec 1993
Score 1 2 3 4 5 6 7 8 9
Frequency 2 3 6 7 9 6 2 2 3

The table above shows the scores of a group of 40 students in a physics test

What is the mean of the distribution?

A4.2
B4.5
C4.8
D5.0
E5.2
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Question 793
waec 1993

The table above shows the scores of a group of 40 students in a physics test.

If the mode is m and the median is n, then (m,n) is

A(5,5)
B(5,6)
C(6,5)
D(9,4)
E(9,5)
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Question 794
waec 1993
What is A∩B in the diagram above?
A(2,3)
B(2,3,4)
C(1,2,3)
D(2,3,8)
E(6,4,7)
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Question 795
waec 1993

Find the median of the following set of numbers: 28, 29, 39, 38, 33, 37, 26, 20, 15, 25

A33
B29.5
C29
D28.5
E28
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Question 796
waec 1993

At a point 500m from the base of a water tank the angle of elevation of the top of the tank is 45o. Find the height of the tank,

A250m
B353m
C354m
D433m
E500m
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Question 797
waec 1993

The angle of elevation of the top of a tower from a point on the horizontal ground, 40m away from the foot of the tower is 30o. Find the height of the tower.

A20m
B
40√3m /3
C20√3m
D40√3m
E60cm
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Question 798
waec 1993

If sin x = 12/13, where 0° < x < 90°, find the value of 1 - cos\(^2\)x

A25/169
B64/169
C105/169
D144/169
E8/13
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Question 799
waec 1993
Cos 75o has the same value as
Acos 115o
Bcos 255o
Ccos 285o
D-sin165o
E-sin 255o
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Question 800
waec 1993

Given that tan x = 5/12, what is the value of sin x + cos x ?

A5/13
B7/13
C12/13
D17/13
E5/12
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Question 801
waec 1993
From a point on the edge of the sea, one ship is 24km away on a bearing S 50oE and another ship is 7km away on a bearing S40oW. How far apart are the ships?
A20km
B24km
C25km
D31km
E84km
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Question 802
waec 1993
If sin x = cos 50o, then x equals
A40o
B45o
C50o
D90o
E130o
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Question 803
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 804
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 805
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 806
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 807
waec 1993
Two chords PQ and RS of a circle when produced meet at K. If ∠KPS = 31o and ∠PKR = 42o, find ∠KQR
A11o
B73o
C107o
D138o
E149o
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Question 808
waec 1993

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

A15o
B25o
C40o
D50o
E55o
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Question 809
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 810
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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