43

In the diagram, PTR is a tangent to the centre O. If angles TON = 108Β°, Calculate the size of angle PTN

  • A. 132o
  • B. 126o
  • C. 108o
  • D. 102o
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44

In the diagram, O is the centre. If PQ//RS and βˆ ONS = 140Β°, find the size of βˆ POM.

  • A. 40o
  • B. 50o
  • C. 60o
  • D. 80o
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45

The dimension of a rectangular tank are 2m by 7m by 11m. If its volume is equal to that of a cylindrical tank of height 4cm, calculate the base radius of the cylindrical tank. [Take \(\pi = \frac{22}{7}\)]

  • A. 14cm
  • B. 7m
  • C. 3\(\frac{1}{2}\)m
  • D. 1\(\frac{3}{4}\)m
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46

The volume of a cone of height 3cm is 38\(\frac{1}{2}\)cm3. Find the radius of its base. [Take \(\pi = \frac{22}{7}\)]

  • A. 3.0cm
  • B. 3.5cm
  • C. 4.0cm
  • D. 4.5cm
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47

Ada draws the graph of y = x2 – x – 2 and y = 2x – 1 on the same axes. Which of these equations is she solving?

  • A. x2 - x - 3 = 0
  • B. x2 - 3x - 1 = 0
  • C. x2 - 3x - 3 = 0
  • D. x2 + 3x - 1 = 0
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48

Adding 42 to a given positive number gives the same result as squaring the number. Find the number

  • A. 14
  • B. 13
  • C. 7
  • D. 6
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49

If m = 4, n = 9 and r = 16., evaluate \(\frac{m}{n}\) – 1\(\frac{7}{9}\) + \(\frac{n}{r}\)

  • A. 1\(\frac{5}{16}\)
  • B. 1\(\frac{1}{16}\)
  • C. \(\frac{5}{16}\)
  • D. - \(\frac{37}{48}\)
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50

Find the equation whose roots are \(\frac{3}{4}\) and -4

  • A. 4x2 - 13x + 12 = 0
  • B. 4x2 - 13x - 12 = 0
  • C. 4x2 + 13x - 12 = 0
  • D. 4x2 + 13x + 12 = 0
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51

Factorize completely: 6ax – 12by – 9ay + 8bx

  • A. (2a - 3b)(4x + 3y)
  • B. (3a + 4b)(2x - 3y)
  • C. (3a - 4b)(2x + 3y)
  • D. (2a + 3b)(4x -3y)
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52

If 2n = y, Find 2\(^{(2 + \frac{n}{3})}\)

  • A. 4y\(^\frac{1}{3}\)
  • B. 4y\(^-3\)
  • C. 2y\(^\frac{1}{3}\)
  • D. 2y\(^-3\)
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53

Given that logx 64 = 3, evaluate x log\(_2\)8

  • A. 6
  • B. 9
  • C. 12
  • D. 24
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54

Find the 7th term of the sequence: 2, 5, 10, 17, 6,…

  • A. 37
  • B. 48
  • C. 50
  • D. 63
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55

If \(\frac{27^x \times 3^{1 – x}}{9^{2x}} = 1\), find the value of x.

  • A. 1
  • B. \(\frac{1}{2}\)
  • C. -\(\frac{1}{2}\)
  • D. -1
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56

A trader bought an engine for $15,000.00 outside Nigeria. If the exchange rate is $0.075 to N1.00, how much did the engine cost in Naira?

  • A. N250,000.00
  • B. N200,000.00
  • C. N150,000.00
  • D. N100,000.00
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57

The sum 11011\(_2\), 1111\(_2\) and 10m10n0\(_2\). Find the value of m and n.

  • A. m = 0, n = 0
  • B. m = 1, n = 0
  • C. m = 0, n = 1
  • D. m = 1, n = 1
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58

If {X: 2 d- x d- 19; X integer} and 7 + x = 4 (mod 9), find the highest value of x

  • A. 2
  • B. 5
  • C. 15
  • D. 18
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