Mathematics JAMB, WAEC, NECO AND NABTEB Official Past Questions

22

The bar chart shows the frequency distribution of marks scored by students in a class test. Calculate the mean of the distribution.

  • A. 6.0
  • B. 3.0
  • C. 2.4
  • D. 1.8
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23

The bar chart shows the frequency distribution of marks scored by students in a class test. How many students are in the class?

  • A. 10
  • B. 24
  • C. 25
  • D. 30
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24

The position of three ships P,Q and R at sea are illustrated in the diagram. The arrows indicated the North direction. The bearing of Q from P is 050o and < PQR = 72o. Calculate the bearing of R and Q

  • A. 155o
  • B. 80o
  • C. 158o
  • D. 91o
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25

Is the diagram, MN, PQ and RS are three intersecting straight lines. Which of the following statements is/are true? i. t = y ii. x + y + z + m = 180o iii. x + m + n = 180o iv. x + n = m + z

  • A. i and iv
  • B. ii
  • C. iii
  • D. iv
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26

In the diagram, MQ//RS, < TUV = 70o and < RLV = 30o. Find the value of x

  • A. 150o
  • B. 110o
  • C. 100o
  • D. 95o
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27

The diagram is a circle centre O. If < SPR = 2m and < SQR = n, express m in terms of n

  • A. m = \(\frac{n}{2}\)
  • B. m = 2n
  • C. m = n - 2
  • D. m = n + 2
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28

In the diagram, O is a circle centre of the circle PQRS and < PSR = 86o. If < PQR = xo, find x

  • A. 108o
  • B. 172o
  • C. 130o
  • D. 50o
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29

In the diagram, |QR| = 10m, |SR| = 8m

< QPS = 30o, < QRP = 90o and |PS| = x, Find x

  • A. 1.32m
  • B. 6.32m
  • C. 9.32m
  • D. 17.32
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30

If x and y are variables and k is a constant, which of the following describes an inverse relationship between x and y?

  • A. y = kx
  • B. y = \(\frac{k}{x}\)
  • C. y = k\(\sqrt{x}\)
  • D. y = x + k
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31

If x and y are variables and k is a constant, which of the following describes an inverse relationship between x and y?

  • A. y = kx
  • B. y = \(\frac{k}{x}\)
  • C. y = k\(\sqrt{x}\)
  • D. y = x + k
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32

Factorise completely: 32x2y – 48x3y3

  • A. 16x2y(2 - 3xy2)
  • B. 8xy(4x - 6x2y2)
  • C. 8x2y(4 - 6xy2)
  • D. 16xy(2x - 3x2y2)
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33

A side and a diagonal of a rhombus are 10cm and 12cm respectively, Find its area

  • A. 20cm2
  • B. 24cm2
  • C. 48cm2
  • D. 96cm2
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34

The volume of a cuboid is 54cm3. If the length, width and height of the cuboid are in the ratio 2:1:1 respectively, find its total surface area

  • A. 108cm2
  • B. 90cm2
  • C. 80cm2
  • D. 72cm2
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35

Find the coefficient of m in the expression of (\(\frac{m}{2} – 1 \frac{1}{2}\)) (m + \(\frac{2}{3}\))

  • A. -\(\frac{1}{6}\)
  • B. - \(\frac{1}{2}\)
  • C. -1
  • D. -1\(\frac{1}{6}\)
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36

The sum of the interior angles of regular polygon is 1800o. How many sides has the polygon?

  • A. 16
  • B. 12
  • C. 10
  • D. 8
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37

Solve (\(\frac{27}{125}\))-\(\frac{1}{3}\) x (\(\frac{4}{9}\))\(\frac{1}{2}\)

  • A. \(\frac{10}{9}\)
  • B. \(\frac{9}{10}\)
  • C. \(\frac{2}{5}\)
  • D. \(\frac{12}{125}\)
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38

Alfred spent \(\frac{1}{4}\) of his money on food, \(\frac{1}{3}\) on clothing and save the rest. If he saved N72,20.00, how much did he spend on food?

  • A. N43,200.00
  • B. N43,000.00
  • C. N42,200.00
  • D. N40,000.00
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39

If p = {prime factors of 210} and Q = {prime less than 10}, find p \(\cap\) Q

  • A. {1,2, 3}
  • B. {2, 3, 5}
  • C. {1, 3, 5,7}
  • D. {2,3,5,7}
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40

Express 3 – [\(\frac{x – y}{y}\)] as a single fraction

  • A. \(\frac{3xy}{y}\)
  • B. \(\frac{x - 4y}{y}\)
  • C. \(\frac{4y - x}{y}\)
  • D. 3 - \(\frac{x - y}{y}\)
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41

If x + 0.4y = 3 and y = \(\frac{1}{2}\)x, find the value of (x + y)

  • A. 1\(\frac{1}{4}\)
  • B. 2\(\frac{1}{2}\)
  • C. 3\(\frac{3}{4}\)
  • D. 5
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42

Which of these statements about y = 8\(\sqrt{m}\) is correct?

  • A. log y = log 8 x log \(\sqrt{m}\)
  • B. log y = 3 log 2 x \(\frac{1}{2}\) log m
  • C. log y = 3 log 2 - \(\frac{1}{2}\) log m
  • D. log y = 3 log 2 + \(\frac{1}{2}\) log m
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