Home ยป Past Questions ยป Mathematics ยป Waec ยป 2007 ยป Page 4
64

IN the diagram, |LN| = 4cm, LNM = 90o and tan y = 2/3. What is the area of the โˆ†LMN?

  • A. 24cm2
  • B. 12cm2
  • C. 10cm2
  • D. 6cm2
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65

A sector of a circle of radius 14cm containing an angle 60o is folded to form a cone. Calculate the radius of the base of the cone.

  • A. \(5\frac{1}{2}cm\)
  • B. \(4\frac{2}{3}cm\)
  • C. \(3\frac{1}{2}cm\)
  • D. \(2\frac{1}{3}cm\)
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66

A chord of length 6cm is drawn in a circle of radius 5cm. Find the distance of the chord from the center of the circle

  • A. 2.5cm
  • B. 3.0cm
  • C. 3.5cm
  • D. 4.0cm
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67

The area of a square field is 110.25m2. Find the cost of fencing it round at N75.00 per meter square

  • A. N1,575.00
  • B. N3,150.00
  • C. N4,734.30
  • D. N8,268.75
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68

If \(8^{x+1}=\frac{1}{4}\), find x

  • A. \(-\frac{5}{3}\)
  • B. -1
  • C. \(-\frac{1}{3}\)
  • D. \(\frac{1}{3}\)
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69

Solve the simultaneous equation: x+y=2 and 3x-2y=1

  • A. x=2 and y=1
  • B. x=1 and y=1
  • C. x=1 and y=2
  • D. x=-1 and y=1
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70

If x =3, y = 2 and z = 4 what is the value of \(3x^{2}-2y+z\)

  • A. 17
  • B. 27
  • C. 35
  • D. 71
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71

For what value of x is the expression \(\frac{2x-1}{x+3}\)not defined?

  • A. 3
  • B. 2
  • C. 1/2
  • D. -3
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72

I am x years old and my brother is 3 years older. How old was my brother last year

  • A. (x - 4) years
  • B. (x + 2) years
  • C. (3x - 1) years
  • D. (3x + 1) years
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73

N140,000 is shared between ABU, Kayode and Uche. Abu has twice as much as Kayode, and Kayode has twice as much as Uche. What is Kayode’s share?

  • A. N80,000
  • B. N40,000
  • C. N20,000
  • D. N10,000
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74

Simplify\(\frac{3x^{3}}{(3x)^{3}}\)

  • A. 1
  • B. \(\frac{1}{3}\)
  • C. \(\frac{1}{9}\)
  • D. \(\frac{1}{27}\)
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75

Which of the following is true for the set \(P = \{-3.2\leq x< 5\}\) where x is an integer

  • A. least value of x is -3.2
  • B. least value of x is -3
  • C. greatest value of x is 4.9
  • D. greatest value of x is 5
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76

Simplify \(3\sqrt{45}-12\sqrt{5}+16\sqrt{20}\)leaving your answer in surd form

  • A. \(29\sqrt{5}\)
  • B. \(14\sqrt{15}\)
  • C. \(12\sqrt{15}\)
  • D. \(11\sqrt{5}\)
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77

If \(p\propto \frac{1}{q}\), which of the following is true?

  • A. \(\propto p^{2}\)
  • B. \(p\propto \frac{1}{q^{2}}\)
  • C. \(q\propto \sqrt{p}\)
  • D. \(q\propto \frac{1}{p}\)
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78

Simplify \((0.3\times 10^{5})\div (0.4\times 10^{7})\)leaving your answer in standard form

  • A. \(7.5\times 10^{-4}\)
  • B. \(7.5\times 10^{-3}\)
  • C. \(7.5\times 10^{-2}\)
  • D. \(7.5\times 10^{-1}\)
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79

Find the LCM of \(2^{3}\times 3\times 5^{2}, 2\times 3^{2}\times 5 \hspace{1mm}and \hspace{1mm}2^{2}\times 3^{2}\times 5\)

  • A. \(2^{2}\times 3^{3}\times 5^{2}\)
  • B. \(2^{3}\times 3^{23}\times 5\)
  • C. \(2^{2}\times 3^{2}\times 5^{2}\)
  • D. \(2^{3}\times 3^{3}\times 5^{2}\)
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80

Evaluate \((111_{two})^2\) and leave your answer in base 2

  • A. \(111001_{two}\)
  • B. \(110001_{two}\)
  • C. \(101001_{two}\)
  • D. \(10010_{two}\)
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