Mathematics JAMB, WAEC, NECO AND NABTEB Official Past Questions

22

Each of the interior angles of a regular polygon is 140°. How many sides has the polygon?

  • A. 9
  • B. 8
  • C. 7
  • D. 5
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23

Find the length of a side of a rhombus whose diagonals are 6cm and 8cm

  • A. 8cm
  • B. 5cm
  • C. 4cm
  • D. 3cm
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24

The angle of a sector of a circle, radius 10.5cm, is 48°, Calculate the perimeter of the sector

  • A. 8.8cm
  • B. 25.4cm
  • C. 25.6cm
  • D. 29.8cm
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25

P(-6, 1) and Q(6, 6) are the two ends of the diameter of a given circle. Calculate the radius.

  • A. 6.5 units
  • B. 13.0 units
  • C. 3.5 units
  • D. 7.0 units
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26

Three brothers in a business deal share the profit at the end of a contract. The first received \(\frac{1}{3}\) of the profit and the second \(\frac{2}{3}\) of the remainder. If the third received the remaining N12000.00 how much profit did they share?

  • A. N60 000.00
  • B. N54 000.00
  • C. N48 000.00
  • D. N42 000.00
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27

Simplify \(\sqrt{27}\) + \(\frac{3}{\sqrt{3}}\)

  • A. 4\(\sqrt{3}\)
  • B. \(\frac{4}{\sqrt{3}}\)
  • C. 3\(\sqrt{3}\)
  • D. \(\frac{\sqrt{3}}{4}\)
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28

Simplify and express in standard form \(\frac{0.00275 \times 0.00640}{0.025 \times 0.08}\)

  • A. 8.8 x 10-1
  • B. 8.8 x 10-2
  • C. 8.8 x 10-3
  • D. 8.8 x 103
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29

Three children shared a basket of mangoes in such a way that the first child took \(\frac{1}{4}\) of the mangoes and the second \(\frac{3}{4}\) of the remainder. What fraction of the mangoes did the third child take?

  • A. \(\frac{3}{16}\)
  • B. \(\frac{7}{16}\)
  • C. \(\frac{9}{16}\)
  • D. \(\frac{13}{16}\)
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30

At what rate would a sum of N100.00 deposited for 5 years raise an interest of N7.50?

  • A. \(\frac{1}{2}\)%
  • B. 2\(\frac{1}{2}\)%
  • C. 1.5%
  • D. 25%
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31

Find the mean deviation of 1, 2, 3 and 4

  • A. 1.0
  • B. 1.5
  • C. 2.0
  • D. 2.5
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32

Correct 241.34(3 x 10\(^{-3}\))\(^2\) to 4 significant figures

  • A. 0.0014
  • B. 0.001448
  • C. 0.0022
  • D. 0.002172
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33

Find the derivative of the function y = 2x\(^2\)(2x – 1) at the point x = -1?

  • A. 18
  • B. 16
  • C. -4
  • D. -6
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34

The ratio of the length of two similar rectangular blocks is 2 : 3. If the volume of the larger block is 351cm\(^3\), then the volume of the other block is?

  • A. 234.00 cm3
  • B. 526.50 cm3
  • C. 166.00 cm3
  • D. 687cm3
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35

find the value of p if the line which passes through (-1, -p) and (-2,2) is parallel to the line 2y+8x-17=0?

  • A. \(\frac{-2}{7}\)
  • B. \(\frac{7}{6}\)
  • C. \(\frac{-6}{7}\)
  • D. 2
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36

A trapezium has two parallel sides of lengths 5cm and 9cm. If the area is 91cm\(^2\), find the distance between the parallel sides

  • A. 13 cm
  • B. 4 cm
  • C. 6 cm
  • D. 7 cm
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37

determine the maximum value of y=3x\(^2\) + 5x – 3

  • A. 6
  • B. 0
  • C. 2
  • D. No correct option
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38

What is the rate of change of the volume V of a hemisphere with respect to its radius r when r = 2?

  • A.
  • B. 16π
  • C.
  • D.
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39

In how many ways can 2 students be selected from a group of 5 students in a debating competition?

  • A. 25 ways
  • B. 10 ways
  • C. 15 ways
  • D. 20 ways
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40

Solve the following equation: \(\frac{2}{(2r – 1)}\) – \(\frac{5}{3}\) =  \(\frac{1}{(r + 2)}\)

  • A. ( -1,\(\frac{5}{2}\) )
  • B. ( 1, - \(\frac{5}{2}\) )
  • C. ( \(\frac{5}{2}\), 1 )
  • D. (2,1)
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