Mathematics JAMB, WAEC, NECO AND NABTEB Official Past Questions

43

A box contains 13 currency notes, all of which are either N50 or N20 notes. The total value of the currency notes is N530. How many N50 notes are in the box?

  • A. 4
  • B. 6
  • C. 8
  • D. 9
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44

A ship sails x km due east to a point E and continues x km due north to F. Find the bearing the bearing of f from the starting point.

  • A. 045o
  • B. 090o
  • C. 135o
  • D. 225o
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45

Which of the following is a measure of dispersion?

  • A. range
  • B. percentile
  • C. median
  • D. quartile
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46

A chord, 7cm long, is drawn in a circle with radius 3.7cm. Calculate the distance of the chord from the centre of the circle

  • A. 0.7cm
  • B. 1.2cm
  • C. 2.0cm
  • D. 2.5cm
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47

The area of a sector a circle with diameter 12cm is 66cm2. If the sector is folded to form a cone, calculate the radius of the base of the cone [Take \(\pi = \frac{22}{7}\)]

  • A. 3.0cm
  • B. 3.5cm
  • C. 7.0cm
  • D. 7.5cm
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48

\(\begin{array}{c|c}height & 2 & 3 & 4 & 5 & 6 \\ \hline frequency & 2 & 4 & 5 & 3 & 1
\end{array}\)
The table shows the distribution of the height of plants in a nursery. Calculate the mean height of the plants.

  • A. 3.8
  • B. 3.0
  • C. 2.8
  • D. 2.3
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49

If (x – a) is a factor pf bx – ax + x2, find the other factor.

  • A. (x + b)
  • B. (x - b)
  • C. (a + b)
  • D. (a - b)
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50

Find the gradient of the line joining the points (2, -3) and 2, 5)

  • A. 9
  • B. 1
  • C. 2
  • D. undefined
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51

F x varies inversely as y and y varies directly as Z, what is the relationship between x and z?

  • A. x \(\alpha\) z
  • B. x \(\alpha \frac{1}{z}\)
  • C. x \(\alpha z^2\)
  • D. x \(\alpha \frac{1}{z^2}\0
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52

Make u the subject of formula, E = \(\frac{m}{2g}\)(v2 – u2)

  • A. u = \(\sqrt{v^2 - \frac{2Eg}{m}}\)
  • B. u = \(\sqrt{\frac{v^2}{m} - \frac{2Eg}{4}}\)
  • C. u = \(\sqrt{v- \frac{2Eg}{m}}\)
  • D. u = \(\sqrt{\frac{2v^2Eg}{m}}\)
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53

The coordinates of points P and Q are (4, 3) and (2, -1) respectively. Find the shortest distance between P and Q.

  • A. 10\(sqrt{2}\)
  • B. 4\(sqrt{5}\)
  • C. 5\(sqrt{2}\)
  • D. 2\(sqrt{5}\)
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54

Find the truth set of the equation x2 = 3(2x + 9)

  • A. {x : x = 3, x = 9}
  • B. {x : x = -3, x = -9}
  • C. {x : x = 3, x = -9}
  • D. {x : x = -3, x = 9}
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55

If x = {0, 2, 4, 6}, y = {1, 2, 3, 4} and z = {1, 3} are subsets of u = {x:0 \(\geq\) x \(\geq\) 6}, find x \(\cap\) (Y’ \(\cup\) Z)

  • A. {0, 2, 6}
  • B. {1, 3}
  • C. {0, 6)
  • D. {9}
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56

Three quarters of a number added to two and a half of the number gives 13. Find the number

  • A. 4
  • B. 5
  • C. 6
  • D. 7
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57

Given that x > y and 3 < y, which of the following is/are true? i. y > 3 ii. x < 3 iii. x > y > 3

  • A. i
  • B. i and ii
  • C. i and iii
  • D. i, ii and iii
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58

Simplify: \(\sqrt{12} ( \sqrt{48} – \sqrt{3}\))

  • A. 18
  • B. 16
  • C. 14
  • D. 12
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59

The bar chart above shows the scores of some students in a test. Use it to answer this question

If one student is selected at random, find the probability that he/she scored at most 2 marks

  • A. \(\frac{11}{18}\)
  • B. \(\frac{11}{20}\)
  • C. \(\frac{7}{22}\)
  • D. \(\frac{5}{19}\)
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60

The volume of a cube is 512cm3. Find the length of its side

  • A. 6cm
  • B. 7cm
  • C. 8cm
  • D. 9cm
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61

If 23x = 325, find the value of x

  • A. 7
  • B. 6
  • C. 5
  • D. 4
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62

Simplify 10\(\frac{2}{5} – 6 \frac{2}{3} + 3\)

  • A. 6\(\frac{4}{15}\)
  • B. 6\(\frac{11}{15}\)
  • C. 7\(\frac{4}{15}\)
  • D. 7\(\frac{11}{15}\)
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