Home ยป Past Questions ยป Mathematics ยป Waec ยป 1989 ยป Page 3
43

If 3\(^y\) = 243, find the value of y.

  • A. 2
  • B. 3
  • C. 4
  • D. 5
  • E. 6
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44

If twice a certain integer is subtracted from 5 times the integer, the result is 63. Find the integer.

  • A. 21
  • B. 9
  • C. 7
  • D. 4
  • E. 3
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45

An arc of a circle radius 7cm is 14cm long. What angle does the arc subtend at the center of circle?
[Take ฯ€ = 22/7]

  • A. 25.7o
  • B. 44o
  • C. 51.43o
  • D. 98o
  • E. 114.55o
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46

The venn diagram below shows the number of students who studied Physics, Chemistry, and Mathematics in a certain school. How many students took at least two of the three subjects?

  • A. 165
  • B. 160
  • C. 155
  • D. 135
  • E. 85
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47

Using the above graph, if 10ยบ < x < 60ยบ, what is the value of x for which sin x = cos x?

  • A. 0o
  • B. 20o
  • C. 30o
  • D. 45o
  • E. 50o
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48

In the diagram above ABDE and FCDE are parallelograms. If |FC| = 12.2cm and the height |PC| = 4.0cm, calculate the area of the parallelogram ABDE.

  • A. 3.05cm2
  • B. 8.20cm2
  • C. 16.20cm2
  • D. 24.40cm2
  • E. 48.8cm2
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49

In the diagram above, โˆ SPR = P and โˆ SQR = 2x. Find x in terms of P

  • A. x = p + 2
  • B. x = p - 2
  • C. x = p2
  • D. x = p/2
  • E. x = 2p
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50

Instead of recording the number 1.23cm of the radius of a tube, a student recorded 1.32cm. Find the percentage of error, correct to one decimal place.

  • A. 6.8%
  • B. 7.3%
  • C. 9.6%
  • D. 14.4%
  • E. 15.4%
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51

The angle of elevation of X from Y is 30o. If XY = 40m, how high is X above the level of Y?

  • A. 10m
  • B. 20m
  • C. 20โˆš3m
  • D. 40m
  • E. 50m
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52

Factorize the following expression; 2x2 + x – 15

  • A. (2x+5)(x-3)
  • B. (2x-5)(x+3)
  • C. (2x-5)(x-3)
  • D. (2x-3)(x+5)
  • E. (2x+5)(x+3)
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53

The graph above is that of a quadratic function y = 2x2 – x – 6
The roots of the equation are

  • A. 1.5, 2
  • B. -1.5, 2
  • C. 1, -6
  • D. 1, 6
  • E. -1, 6
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54

Evaluate \(\frac{0.009}{0.012}\), leaving your answer in standard form.

  • A. 7.5 x 102
  • B. 7.5 x 101
  • C. 7.5 x 10-1
  • D. 7.5 x 10-2
  • E. 7.5 x 10-3
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55

Factorize 35 – 2b – b2

  • A. (35-2b)(b-1)
  • B. (7+b)(5-b)
  • C. (3+7b)(5-b)
  • D. (35-b)(3b+7)
  • E. (7+b)(5+b)
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56

Evaluate, using logarithm tables \(\frac{5.34 \times 67.4}{2.7}\)

  • A. 1.332
  • B. 13.32
  • C. 133.2
  • D. 1332
  • E. 13.320
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57

In the diagram O is the center of the circle, if โˆ QRS = 62o, find the value of โˆ SQR.

  • A. 14o
  • B. 28o
  • C. 31o
  • D. 45o
  • E. 90o
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58

In the diagram above, TPS is a straight line, PQRS is a parallelogram with base QR and height 8cm. |QR| = 6cm and the area of triangle QST is 52cm2. Find the area of ฮ”QPT

  • A. 39cm2
  • B. 28cm2
  • C. 24cm2
  • D. 21cm2
  • E. 19cm2
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59

If the second and fourth term of a G.P are 8 and 32 respectively,what is the sum of the first four terms?

  • A. 28
  • B. 40
  • C. 48
  • D. 60
  • E. 68
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60

If 3loga + 5loga – 6loga = log64, what is a?

  • A. 4
  • B. 6
  • C. 8
  • D. 16
  • E. 32
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