Home ยป Past Questions ยป Mathematics ยป Waec ยป 2007 ยป Page 3
43

If the probability of an event occurring is x, what is the probability of the event not occurring?

  • A. 1 - x
  • B. x - 1
  • C. 0
  • D. \(\frac{1}{x}\)
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44

The table above gives the distribution of the marks of a number of students in a test.
\(\begin{array}{c|c} Mark &1 & 2 & 3 & 4 & 5 & 6 \\ \hline Frequency & 5 & 3 & 6 & 4 & 2 & 5\end{array}\), find the mode of the distribution.

  • A. 2
  • B. 3
  • C. 5
  • D. 6
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45

In a , < PQR = < PRQ = 45o. which of the following statements is/are correct? i. \(\bigtriangleup\)PQR is an equalateral triangle ii. \(\bigtriangleup\)PQR is an isosceles triangle iii. \(\bigtriangleup\)PQR is a right-angled triangle

  • A. ii only
  • B. i and ii only
  • C. ii and iii only
  • D. i and ii only
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46

Each of the interior angle of a regular polygon is 162o. How many sides has the polygon?

  • A. 8
  • B. 12
  • C. 16
  • D. 20
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47

Find the volume of a solid cylinder with base radius 10cm and height 14cm.

  • A. 2203
  • B. 880cm3>
  • C. 1400cm3
  • D. 4400cm3
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48

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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49

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

  • A. N1,575.00
  • B. N3,150.00
  • C. N4,734.30
  • D. N8,268.75
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50

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

  • A. 2.5cm
  • B. 3.0cm
  • C. 3.5cm
  • D. 4.0cm
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51

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

  • A. -\(\frac{-5}{3}\)
  • B. -1
  • C. -\(\frac{1}{3}\)
  • D. \(\frac{1}{3}\)
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52

Solve the simultaneous equations 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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53

If x = 3, Y = 2 and z = 4, what is the value of 3x2 – 2y + z?

  • A. 17
  • B. 27
  • C. 35
  • D. 71
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54

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

  • A. 3
  • B. 2
  • C. \(\frac{1}{2}\)
  • D. -3
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55

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 - 10years
  • D. (3x + 1)years
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56

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’sshare?

  • A. N80,000
  • B. N40,000
  • C. N2,000
  • D. 10,000
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57

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

  • A. 1
  • B. \(\frac{1}{3}\)
  • C. \(\frac{1}{9}\)
  • D. \(\frac{1}{27}\)
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58

Which of the following statement is true for the ste 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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59

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\(\sqrt{15}\)
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60

If p \(\alpha \frac{I}{Q}\) which of the following is true?

  • A. q \(\alpha p^2\)
  • B. q \(\alpha \frac{1}{p^2}\)
  • C. q \(\alpha \sqrt{p}\)
  • D. q \(\alpha \frac{1}{p}\)
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61

Simplify(0.3 x 105) \(\div\) (0.4 \(\times\) 107), leaving you answer in the standard form.

  • A. 7.5 x 10-4
  • B. 7.5 x 10-3
  • C. 7.5 x 10-2
  • D. 7.5 x 10-1
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62

Find the LCM of 23 x 3 x 52, 2 x 32 x 5 and 23 x 33 x 5

  • A. 22 x 33 x 52
  • B. 23 x 33 x 5
  • C. 22 x 32 x 52
  • D. 23 x 33 x 52
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63

Evaluate(111two)\(^2\) and leave your answer in base 2.

  • A. 111001two
  • B. 110001two
  • C. 101001two
  • D. 10010two
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