Mathematics JAMB, WAEC, NECO AND NABTEB Official Past Questions

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22

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

  • A. 12
  • B. 12.5
  • C. 13
  • D. 13.5
  • E. 14
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23

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

What is the mean of the distribution?

  • A. 4.2
  • B. 4.5
  • C. 4.8
  • D. 5.0
  • E. 5.2
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24

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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25

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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26

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

  • A. 33
  • B. 29.5
  • C. 29
  • D. 28.5
  • E. 28
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27

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,

  • A. 250m
  • B. 353m
  • C. 354m
  • D. 433m
  • E. 500m
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28

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.

  • A. 20m
  • B. 40√3m /3
  • C. 20√3m
  • D. 40√3m
  • E. 60cm
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29

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

  • A. 25/169
  • B. 64/169
  • C. 105/169
  • D. 144/169
  • E. 8/13
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30

Cos 75o has the same value as

  • A. cos 115o
  • B. cos 255o
  • C. cos 285o
  • D. -sin165o
  • E. -sin 255o
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31

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

  • A. 5/13
  • B. 7/13
  • C. 12/13
  • D. 17/13
  • E. 5/12
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32

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?

  • A. 20km
  • B. 24km
  • C. 25km
  • D. 31km
  • E. 84km
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33

If sin x = cos 50o, then x equals

  • A. 40o
  • B. 45o
  • C. 50o
  • D. 90o
  • E. 130o
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34

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

  • A. 120km
  • B. 165km
  • C. 195km
  • D. (150 + 45√3)km
  • E. 240km
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35

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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36

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

  • A. 1.5 x 10-4
  • B. 1.5 x 10-2
  • C. 1.5 x 10-3
  • D. 1.5 x 101
  • E. 1.5 x 102
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37

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

  • A. 28°
  • B. 40°
  • C. 44°
  • D. 84°
  • E. 124°
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38

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

  • A. 11o
  • B. 73o
  • C. 107o
  • D. 138o
  • E. 149o
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39

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

  • A. 15o
  • B. 25o
  • C. 40o
  • D. 50o
  • E. 55o
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40

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

  • A. 3.3cm
  • B. 4.4cm
  • C. 5cm
  • D. 5.5cm
  • E. 6.6cm
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41

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

  • A. 34 sides
  • B. 30 sides
  • C. 26 sides
  • D. 17 sides
  • E. 15 sides
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42

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

  • A. 34o
  • B. 48o
  • C. 56o
  • D. 68o
  • E. 73o
View Answer & Discuss WAEC 1993