Mathematics JAMB, WAEC, NECO AND NABTEB Official Past Questions

22

Find the value of x in the diagram

  • A. 50o
  • B. 30o
  • C. 22o
  • D. 17o
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23

In the diagram, IG is parallel to JE, JEF = 120o and FHG = 130o, fins the angle marked t

  • A. 40o
  • B. 70o
  • C. 80o
  • D. 100o
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24

In the diagram, /TP/ = 12cm and it is 6cm from O, the centre of the circle, Calculate < TOP

  • A. 120o
  • B. 90o
  • C. 60o
  • D. 45o
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25

PQRS is a trapezium. QR//PS, /PQ/ = 5cm, /OR/ = 6cm, /PS/ = 10cm and angle QPS = 42o. Calculate, correct to the nearest cm2, the area of the trapezium (h = 3.35cm2 )

  • A. 27cm2
  • B. 30cm2
  • C. 36cm2
  • D. 37cm2
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26

PQRS is a trapezuim. QR//PS, /PQ/ = 5cm, /OR/ = 6cm, /PS/ = 10cm and angle QPS = 42o. Calculate the perpendicular distance between the parallel sides

  • A. 3.35cm
  • B. 3.73cm
  • C. 4.50cm
  • D. 4.62cm
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27

The following is the graph of a quadratic friction, find the value of x when y = 0

  • A. 1, 2
  • B. 1, 4
  • C. 2, 3
  • D. 1, 6
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28

The following is the graph of a quadratic friction, find the co-ordinates of point P

  • A. (0, 4)
  • B. (4, 0)
  • C. (0, -4)
  • D. (-4, 0)
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29

Find the quadratic equation whose roots are -\(\frac{1}{2}\) and 3

  • A. 2x2 - 2x + 3 = 0
  • B. 2x2 - 2x - 3 = 0
  • C. 2x2 - 5x - 3 = 0
  • D. 3x2 - 5x - 3 = 0
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30

Simplify (x – 3y)2 – (x + 3y)2

  • A. 2(x + 3y)
  • B. (2x - 3y)
  • C. -12xy
  • D. 6xy
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31

The angles of triangle are (x + 10)o, (2x – 40)o and (3x – 90)o. Which of the following accurately describes the triangle?

  • A. it is a scalene triangle
  • B. it is right angled isosceles triangle
  • C. t is an equilateral triangle
  • D. It is an isosceles triangle but not right angled
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32

Simplify; \(\frac{1}{2}\sqrt{32} – \sqrt{18} + \sqrt{2}\)

  • A. zero
  • B. \(\sqrt{2}\)
  • C. 2\(\sqrt{2}\)
  • D. 4\(\sqrt{2}\)
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33

A box contains black, white and red identical balls. The probability of picking a black ball at random from the box is \(\frac{3}{10}\) and the probability of picking a white ball at random is \(\frac{2}{5}\). If there are 30 balls in the box, how many of them are red?

  • A. 3
  • B. 7
  • C. 9
  • D. 12
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34

A bucket holds 10 litres of water. How many buckets of water will fill a reservoir of size 8m x 7m x 5m.(1 litre = 1000cm3)`

  • A. 28
  • B. 280
  • C. 2800
  • D. 28000
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35

Each of the interior angles of a regular polygon is 140o. Calculate the sum of all the interior angles of the polygon

  • A. 1080o
  • B. 1260o
  • C. 1800o
  • D. 2160o
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36

If c and k are the roots of 6 – x – x2 = 0, find c + k

  • A. 2
  • B. 1
  • C. -1
  • D. -3
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37

If a positive integer, list the values of x which satisfy the equation 3x – 4 < 6 and x – 1 > 0

  • A. {1, 2, 3}
  • B. {2, 3}
  • C. {2, 3, 4}
  • D. {2, 3, 4, 5}
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38

solve \(\frac{2x + 1}{6} – \frac{3x – 1}{4}\) = 0

  • A. 1
  • B. \(\frac{1}{5}\)
  • C. -\(\frac{1}{5}\)
  • D. -1
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39

An arc of a circle subtends an angle of 60o at the centre. If the radius of the circle is 3cm, find , in terms of \(\pi\), the length of the arc

  • A. \(\pi\)cm
  • B. 2\(\pi\)cm
  • C. 3\(\pi\)cm
  • D. 6\(\pi\)cm
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40

The capacity of a water tank is 1,800 litres. If the tank is in form of a cuboid with base 600cm by 150 cm. Find the height of the tank

  • A. 2cm
  • B. 20cm
  • C. 200cm
  • D. 2000cm
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41

If 85% of x is N3230, what is the value of x?

  • A. N2745.50
  • B. N3714.50
  • C. N3800.00
  • D. N4845.00
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42

If 92x = \(\frac{1}{3}\)(27x), find x

  • A. 2
  • B. 1
  • C. -1
  • D. -2
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