2000 General Mathematics WAEC SSCE (School Candidates) May/June: Difference between revisions

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=== Objective Test Questions ===
=== Objective Test Questions ===
<ol>
<ol>
    <li>Question 1
  <li>Express <math>\frac{7}{19}</math> as a percentage, correct to 1 decimal place.
        <ol type="a">
    <ol type="a">
            <li>Option a</li>
      <li>2.7%</li>
            <li>Option b</li>
      <li>3.7%</li>
            <li>Option c</li>
      <li>27.1%</li>
            <li>Option d</li>
      <li>36.8%</li>
        </ol>
    </ol>
    </li>
  </li>
    <li>Question 2
 
        <ol type="a">
  <li>Express 398753 correct to three significant figures.
            <li>Option a</li>
    <ol type="a">
            <li>Option b</li>
      <li>398000</li>
            <li>Option c</li>
      <li>398700</li>
            <li>Option d</li>
      <li>398800</li>
        </ol>
      <li>399000</li>
    </li>
    </ol>
    <li>Question 3
  </li>
        <ol type="a">
 
            <li>Option a</li>
  <li>Simplify <math>\frac{10}{\sqrt{32}}</math>
            <li>Option b</li>
    <ol type="a">
            <li>Option c</li>
      <li><math>\frac{5}{4}\sqrt{2}</math></li>
            <li>Option d</li>
      <li><math>\frac{4}{5}\sqrt{2}</math></li>
        </ol>
      <li><math>\frac{5}{16}\sqrt{2}</math></li>
    </li>
      <li><math>\frac{16}{5}\sqrt{2}</math></li>
    <li>Question 4
    </ol>
        <ol type="a">
  </li>
            <li>Option a</li>
 
            <li>Option b</li>
  <li>Find the missing number in base seven addition:
            <li>Option c</li>
    <math>
            <li>Option d</li>
     \begin{array}{r}
        </ol>
     4\;3\;2\;1_7 \\
     </li>
    1\;2\;3\;4_7 \\
     <li>Question 5
+\ ****_7 \\
        <ol type="a">
    \hline
            <li>Option a</li>
    1\;2\;3\;4\;1_7 \\
            <li>Option b</li>
    \end{array}
            <li>Option c</li>
    </math>
            <li>Option d</li>
    <ol type="a">
        </ol>
      <li>3453</li>
    </li>
      <li>5556</li>
    <li>Question 6
      <li>6016</li>
        <ol type="a">
      <li>13453</li>
            <li>Option a</li>
    </ol>
            <li>Option b</li>
  </li>
            <li>Option c</li>
 
            <li>Option d</li>
  <li>What fraction must be subtracted from the sum of <math>2\frac{1}{6}</math> and <math>2\frac{7}{12}</math> to give <math>3\frac{1}{4}</math>?
        </ol>
    <ol type="a">
    </li>
      <li><math>\frac{1}{2}</math></li>
    <li>Question 7
      <li><math>\frac{1}{4}</math></li>
        <ol type="a">
      <li><math>\frac{3}{4}</math></li>
            <li>Option a</li>
      <li><math>\frac{5}{12}</math></li>
            <li>Option b</li>
    </ol>
            <li>Option c</li>
  </li>
            <li>Option d</li>
 
        </ol>
  <li>Simplify <math>\left(\frac{16}{81}\right)^{-\frac{3}{4}} \times \surd{\frac{100}{81}}</math>
    </li>
    <ol type="a">
    <li>Question 8
      <li><math>\frac{80}{243}</math></li>
        <ol type="a">
      <li><math>\frac{20}{27}</math></li>
            <li>Option a</li>
      <li><math>\frac{25}{6}</math></li>
            <li>Option b</li>
      <li><math>\frac{15}{4}</math></li>
            <li>Option c</li>
    </ol>
            <li>Option d</li>
  </li>
        </ol>
 
    </li>
  <li>Which number is a perfect cube?
    <li>Question 9
    <ol type="a">
        <ol type="a">
      <li>350</li>
            <li>Option a</li>
      <li>504</li>
            <li>Option b</li>
      <li>950</li>
            <li>Option c</li>
      <li>1728</li>
            <li>Option d</li>
    </ol>
        </ol>
  </li>
    </li>
 
    <li>Question 10
  <li>If <math>104_x = 68</math>, find the value of <math>x</math>
        <ol type="a">
    <ol type="a">
            <li>Option a</li>
      <li>5</li>
            <li>Option b</li>
      <li>7</li>
            <li>Option c</li>
      <li>8</li>
            <li>Option d</li>
      <li>9</li>
        </ol>
    </ol>
    </li>
  </li>
    <li>Question 11
 
        <ol type="a">
  <li>The ages of three men are in ratio 3:4:5. If difference between the ages of the oldest and youngest is 18 years, find the sum of the ages of the three men.
            <li>Option a</li>
    <ol type="a">
            <li>Option b</li>
      <li>45 years</li>
            <li>Option c</li>
      <li>72 years</li>
            <li>Option d</li>
      <li>108 years</li>
        </ol>
      <li>216 years</li>
    </li>
    </ol>
    <li>Question 12
  </li>
        <ol type="a">
 
            <li>Option a</li>
  <li>Given that <math>109_4 x = -3</math>, find <math>x</math>
            <li>Option b</li>
    <ol type="a">
            <li>Option c</li>
      <li><math>\frac{1}{81}</math></li>
            <li>Option d</li>
      <li><math>\frac{1}{64}</math></li>
        </ol>
      <li>64</li>
    </li>
      <li>81</li>
    <li>Question 13
    </ol>
        <ol type="a">
  </li>
            <li>Option a</li>
 
            <li>Option b</li>
  <li>Given that the logarithm of a number is <math>1.8732</math>, find correct to 2 significant figures, the square root of the number.
            <li>Option c</li>
    <ol type="a">
            <li>Option d</li>
      <li>0.29</li>
        </ol>
      <li>0.75</li>
    </li>
      <li>0.86</li>
    <li>Question 14
      <li>0.93</li>
        <ol type="a">
    </ol>
            <li>Option a</li>
  </li>
            <li>Option b</li>
 
            <li>Option c</li>
  <li>A car moving at an average speead of <math>30\text{kmh}^{-1}</math>. How long does it take to cover 200m in?
            <li>Option d</li>
    <ol type="a">
        </ol>
      <li>2.4 sec</li>
    </li>
      <li>24 sec</li>
     <li>Question 15
      <li>144 sec</li>
        <ol type="a">
      <li>240 sec</li>
            <li>Option a</li>
    </ol>
            <li>Option b</li>
  </li>
            <li>Option c</li>
 
            <li>Option d</li>
     <li>A man bought a television set on hire purchase for ₦<math>25,000</math>, out of which he paid ₦<math>10,000</math>. If he is allowed to pay the balance in eight equal instalments, find the value of each instalment.
        </ol>
    <ol type="a">
    </li>
      <li>₦<math>\,1,250</math></li>
    <li>Question 16
      <li><math>\,1,578</math></li>
        <ol type="a">
      <li><math>\,1,875</math></li>
            <li>Option a</li>
      <li><math>\,3,125</math></li>
            <li>Option b</li>
    </ol>
            <li>Option c</li>
  </li>
            <li>Option d</li>
 
        </ol>
A tree is <math>8\,\text{km}</math> due south of a building. Kofi is standing <math>8\,\text{km}</math> west of the tree. Use this information to answer questions 14 and 15
    </li>
<li> How far is Kofi from the building?
    <li>Question 17
    <ol type="a">
        <ol type="a">
      <li><math>4\sqrt{2}\,\text{km}</math></li>
            <li>Option a</li>
      <li><math>8\,\text{km}</math></li>
            <li>Option b</li>
      <li><math>8\sqrt{2}\,\text{km}</math></li>
            <li>Option c</li>
      <li><math>16\,\text{km}</math></li>
            <li>Option d</li>
    </ol>
        </ol>
  </li>
    </li>
 
    <li>Question 18
  <li>Find the bearing of Kofi from the building.
        <ol type="a">
    <ol type="a">
            <li>Option a</li>
      <li><math>315^\circ</math></li>
            <li>Option b</li>
      <li><math>270^\circ</math></li>
            <li>Option c</li>
      <li><math>225^\circ</math></li>
            <li>Option d</li>
      <li><math>135^\circ</math></li>
        </ol>
    </ol>
    </li>
  </li>
    <li>Question 19
 
        <ol type="a">
  <li>Which of the following bearings is equivalent to <math>S50^\circ W</math>?
            <li>Option a</li>
     <ol type="a">
            <li>Option b</li>
      <li><math>040^\circ</math></li>
            <li>Option c</li>
      <li><math>130^\circ</math></li>
            <li>Option d</li>
      <li><math>220^\circ</math></li>
        </ol>
      <li><math>230^\circ</math></li>
    </li>
     </ol>
     <li>Question 20
  </li>
        <ol type="a">
 
            <li>Option a</li>
  <li>In the diagram, AB is a vertical pole and BC is horizontal. If <math>|AC| = 10\,\text{m}</math> and <math>|BC| = 5\,\text{m}</math>, calculate the angle of depression of C from A.
            <li>Option b</li>
    <ol type="a">
            <li>Option c</li>
      <li><math>63^\circ</math></li>
            <li>Option d</li>
      <li><math>60^\circ</math></li>
        </ol>
      <li><math>45^\circ</math></li>
    </li>
      <li><math>27^\circ</math></li>
     <li>Question 21
    </ol>
        <ol type="a">
  </li>
            <li>Option a</li>
 
            <li>Option b</li>
The bar chart shows the distribution of marks scored by a group of students in a test.
            <li>Option c</li>
<li>How many students scored 4 marks and above?
            <li>Option d</li>
    <ol type="a">
        </ol>
      <li>15</li>
    </li>
      <li>11</li>
    <li>Question 22
      <li>10</li>
        <ol type="a">
      <li>7</li>
            <li>Option a</li>
    </ol>
            <li>Option b</li>
  </li>
            <li>Option c</li>
 
            <li>Option d</li>
  <li>How many students took the test?
        </ol>
    <ol type="a">
    </li>
      <li>38</li>
    <li>Question 23
      <li>22</li>
        <ol type="a">
      <li>15</li>
            <li>Option a</li>
      <li>11</li>
            <li>Option b</li>
    </ol>
            <li>Option c</li>
  </li>
            <li>Option d</li>
 
        </ol>
  <li>Calculate the standard deviation of the following: <math>2,3,6,2,5,0,4,2</math>
    </li>
    <ol type="a">
    <li>Question 24
      <li>1.5</li>
        <ol type="a">
      <li>1.7</li>
            <li>Option a</li>
      <li>1.8</li>
            <li>Option b</li>
      <li>1.9</li>
            <li>Option c</li>
    </ol>
            <li>Option d</li>
  </li>
        </ol>
 
    </li>
  <li>The probabilities that Kodjo and Adoga passed an examination are <math>\frac{3}{4}</math> and <math>\frac{3}{5}</math> respectively. Find the probability of both boys failing the examination.
    <li>Question 25
    <ol type="a">
        <ol type="a">
      <li><math>\frac{1}{10}</math></li>
            <li>Option a</li>
      <li><math>\frac{3}{10}</math></li>
            <li>Option b</li>
      <li><math>\frac{9}{20}</math></li>
            <li>Option c</li>
      <li><math>\frac{2}{3}</math></li>
            <li>Option d</li>
    </ol>
        </ol>
  </li>
    </li>
 
    <li>Question 26
  <li>Which of the following triangles are congruent?
        <ol type="a">
    <ol type="a">
            <li>Option a</li>
      <li>I and II only</li>
            <li>Option b</li>
      <li>II and IV only</li>
            <li>Option c</li>
      <li>I and II only</li>
            <li>Option d</li>
      <li>II and III only</li>
        </ol>
    </ol>
    </li>
  </li>
    <li>Question 27
 
        <ol type="a">
  <li>Which of the following statements is/are not true about a rectangle? I Each diagonal cuts the rectangle into two congruent triangles. II A rectangle has four lines of symmetry. III The diagonals intersect at right angles.
            <li>Option a</li>
    <ol type="a">
            <li>Option b</li>
      <li>I and II only</li>
            <li>Option c</li>
      <li>III only</li>
            <li>Option d</li>
      <li>II only</li>
        </ol>
      <li>II and III only</li>
    </li>
    </ol>
    <li>Question 28
  </li>
        <ol type="a">
 
            <li>Option a</li>
  <li>In the diagram, PQRS is a circle with centre O. POR is a diameter and <math>\angle PBQ=40^\circ</math>. Calculate <math>\angle OSR</math>.
            <li>Option b</li>
    <ol type="a">
            <li>Option c</li>
      <li><math>30^\circ</math></li>
            <li>Option d</li>
      <li><math>40^\circ</math></li>
        </ol>
      <li><math>45^\circ</math></li>
    </li>
      <li><math>50^\circ</math></li>
    <li>Question 29
    </ol>
        <ol type="a">
  </li>
            <li>Option a</li>
 
            <li>Option b</li>
  <li>Each side of a regular convex polygon subtends an angle of <math>30^\circ</math> at its centre. Calculate each interior angle.
            <li>Option c</li>
     <ol type="a">
            <li>Option d</li>
      <li><math>75^\circ</math></li>
        </ol>
      <li><math>150^\circ</math></li>
    </li>
      <li><math>160^\circ</math></li>
    <li>Question 30
      <li><math>168^\circ</math></li>
        <ol type="a">
    </ol>
            <li>Option a</li>
  </li>
            <li>Option b</li>
 
            <li>Option c</li>
  <li>If the interior angles of a hexagon are <math>107^\circ,2x^\circ,150^\circ,95^\circ,(2x-15)^\circ</math> and <math>123^\circ</math>, find <math>x</math>.
            <li>Option d</li>
     <ol type="a">
        </ol>
      <li><math>57\frac{1}{2}^\circ</math></li>
     </li>
      <li><math>65^\circ</math></li>
    <li>Question 31
      <li><math>106^\circ</math></li>
        <ol type="a">
      <li><math>120^\circ</math></li>
            <li>Option a</li>
    </ol>
            <li>Option b</li>
  </li>
            <li>Option c</li>
 
            <li>Option d</li>
  <li>In the diagram, POS and ROT are straight lines. OPQR is a parallelogram. <math>|OS|=|OT|</math> and <math>\angle OST=50^\circ</math>. Calculate <math>\angle OPQ</math>.
        </ol>
     <ol type="a">
    </li>
      <li><math>160^\circ</math></li>
    <li>Question 32
      <li><math>140^\circ</math></li>
        <ol type="a">
      <li><math>120^\circ</math></li>
            <li>Option a</li>
      <li><math>100^\circ</math></li>
            <li>Option b</li>
    </ol>
            <li>Option c</li>
  </li>
            <li>Option d</li>
 
        </ol>
  <li>Given that <math>x=-\frac{1}{2}</math> and <math>y=4</math>, evaluate <math>3x^2y + xy^2</math>.
    </li>
     <ol type="a">
     <li>Question 33
      <li><math>-5</math></li>
        <ol type="a">
      <li><math>-1</math></li>
            <li>Option a</li>
      <li><math>4</math></li>
            <li>Option b</li>
      <li><math>11</math></li>
            <li>Option c</li>
    </ol>
            <li>Option d</li>
  </li>
        </ol>
 
    </li>
  <li>Given that <math>27^{\left(1+x\right)}=9</math>, find <math>x</math>.
    <li>Question 34
     <ol type="a">
        <ol type="a">
      <li><math>-3</math></li>
            <li>Option a</li>
      <li><math>-\frac{1}{3}</math></li>
            <li>Option b</li>
      <li><math>3</math></li>
            <li>Option c</li>
      <li><math>2</math></li>
            <li>Option d</li>
    </ol>
        </ol>
  </li>
    </li>
 
     <li>Question 35
    <li>Given that <math>(2x+7)</math> is a factor of <math>2x^2 + 3x - 14</math>, find the other factor.
        <ol type="a">
    <ol type="a">
            <li>Option a</li>
      <li><math>x+2</math></li>
            <li>Option b</li>
      <li><math>2-x</math></li>
            <li>Option c</li>
      <li><math>x-2</math></li>
            <li>Option d</li>
      <li><math>x+1</math></li>
        </ol>
    </ol>
    </li>
  </li>
    <li>Question 36
 
        <ol type="a">
<li>
            <li>Option a</li>
Given that <math>(2x + 7)</math> is a factor of <math>2x^2 + 3x -14</math>, find the other factor.
            <li>Option b</li>
<ol type="a">
            <li>Option c</li>
<li><math>x + 2</math></li>
            <li>Option d</li>
<li><math>2 - x</math></li>
        </ol>
<li><math>x - 2</math></li>
    </li>
<li><math>x + 1</math></li>
     <li>Question 37
</ol>
        <ol type="a">
</li>
            <li>Option a</li>
 
            <li>Option b</li>
  <li>Simplify <math>\frac{1}{x - 3} \;\;\; \frac{3(x-1)}{x^2-9}</math>
            <li>Option c</li>
    <ol type="a">
            <li>Option d</li>
      <li><math>\frac{x-1}{x-3}</math></li>
        </ol>
      <li><math>\frac{-2}{x+3}</math></li>
    </li>
      <li><math>\frac{x-1}{x+3}</math></li>
    <li>Question 38
      <li><math>\frac{4x}{2-9}</math></li>
        <ol type="a">
    </ol>
            <li>Option a</li>
  </li>
            <li>Option b</li>
 
            <li>Option c</li>
  <li>Which of the following number line represents the inequality <math>2 \leq x < 9</math>?
            <li>Option d</li>
  </li>
        </ol>
 
    </li>
  <li>Form an inequality for a distance <math>d</math> metres which is more than 18m but not more than 23m.
     <li>Question 39
     <ol type="a">
        <ol type="a">
      <li><math>18 < d \leq 23</math></li>
            <li>Option a</li>
      <li><math>18 \leq d < 23</math></li>
            <li>Option b</li>
      <li><math>18 \leq d \leq 23</math></li>
            <li>Option c</li>
      <li><math>d < 18</math> or <math>d > 23</math></li>
            <li>Option d</li>
    </ol>
        </ol>
  </li>
    </li>
 
    <li>Question 40
  <li>Find the equation whose roots are -8 and 5.
        <ol type="a">
    <ol type="a">
            <li>Option a</li>
      <li><math>x^2 + 13x + 40 = 0</math></li>
            <li>Option b</li>
      <li><math>x^2 - 13x - 40 = 0</math></li>
            <li>Option c</li>
      <li><math>x^2 - 3x + 40 = 0</math></li>
            <li>Option d</li>
      <li><math>x^2 + 3x - 40 = 0</math></li>
        </ol>
    </ol>
    </li>
  </li>
    <li>Question 41
 
        <ol type="a">
  <li>Make <math>t</math> the subject of the formula <math>\sqrt{\frac{t-p}{r}}</math>
            <li>Option a</li>
    <ol type="a">
            <li>Option b</li>
      <li><math>\frac{rk^2 + p}{m^2}</math></li>
            <li>Option c</li>
      <li><math>\frac{rk^2 + pm^2}{m^2}</math></li>
            <li>Option d</li>
      <li><math>\frac{rk^2 - p}{m^2}</math></li>
        </ol>
      <li><math>\frac{rk^2 - p^2}{m^2}</math></li>
    </li>
    </ol>
    <li>Question 42
  </li>
        <ol type="a">
 
            <li>Option a</li>
  <li>Solve the equation <math>3y^2 = 27y</math>
            <li>Option b</li>
    <ol type="a">
            <li>Option c</li>
      <li><math>y = 0</math> or <math>3</math></li>
            <li>Option d</li>
      <li><math>y = 0</math> or <math>9</math></li>
        </ol>
      <li><math>y = -3</math> or <math>3</math></li>
    </li>
      <li><math>y = 3</math> or <math>9</math></li>
    <li>Question 43
    </ol>
        <ol type="a">
  </li>
            <li>Option a</li>
 
            <li>Option b</li>
  <li>Find the value of <math>x</math> such that the expression <math>\frac{1}{x} + \frac{4}{3x} - \frac{5}{6x} + 1</math> equals zero
            <li>Option c</li>
    <ol type="a">
            <li>Option d</li>
      <li><math>\frac{1}{6}</math></li>
        </ol>
      <li><math>\frac{1}{4}</math></li>
    </li>
      <li><math>\frac{-3}{2}</math></li>
    <li>Question 44
      <li><math>\frac{-7}{6}</math></li>
        <ol type="a">
    </ol>
            <li>Option a</li>
  </li>
            <li>Option b</li>
 
            <li>Option c</li>
  <li>Given that <math>p</math> varies directly as <math>q</math> while <math>q</math> varies inversely as <math>r</math>, which statement is true?
            <li>Option d</li>
    <ol type="a">
        </ol>
      <li><math>r</math> varies directly as <math>p</math></li>
    </li>
      <li><math>p</math> varies inversely as <math>r</math></li>
    <li>Question 45
      <li><math>p</math> varies directly as <math>r</math></li>
        <ol type="a">
      <li><math>q</math> varies inversely as <math>p</math></li>
            <li>Option a</li>
    </ol>
            <li>Option b</li>
  </li>
            <li>Option c</li>
 
            <li>Option d</li>
  <li>In the diagram, PQS is a circle with center O. RST is a tangent at S and <math>\angle SOP = 96^\circ</math>. Find <math>\angle PST</math>.
        </ol>
    <ol type="a">
    </li>
      <li><math>42^\circ</math></li>
     <li>Question 46
      <li><math>48^\circ</math></li>
        <ol type="a">
      <li><math>60^\circ</math></li>
            <li>Option a</li>
      <li><math>66^\circ</math></li>
            <li>Option b</li>
    </ol>
            <li>Option c</li>
  </li>
            <li>Option d</li>
 
        </ol>
  <li>A bicycle wheel of radius 42 cm is rolled over a distance of 66 metres. How many revolutions does it make? (<math>\pi = \frac{22}{7}</math>)
    </li>
    <ol type="a">
    <li>Question 47
      <li>2.5</li>
        <ol type="a">
      <li>5</li>
            <li>Option a</li>
      <li>25</li>
            <li>Option b</li>
      <li>50</li>
            <li>Option c</li>
    </ol>
            <li>Option d</li>
  </li>
        </ol>
 
    </li>
  <li>The height of a pyramid on a square base is 15cm. If the volume is 80cm³, find the area of the square base.
    <li>Question 48
    <ol type="a">
        <ol type="a">
      <li>8cm²</li>
            <li>Option a</li>
      <li>9.6cm²</li>
            <li>Option b</li>
      <li>16cm²</li>
            <li>Option c</li>
      <li>25cm²</li>
            <li>Option d</li>
    </ol>
        </ol>
  </li>
    </li>
 
    <li>Question 49
  <li>A tap leaks at the rate of 2cm³ per second. How long will it take to fill a container of 45 litres capacity? (1 litre = 1000 cm³)
        <ol type="a">
    <ol type="a">
            <li>Option a</li>
      <li>8 hours</li>
            <li>Option b</li>
      <li>6 hours 15min</li>
            <li>Option c</li>
      <li>4 hrs 25min</li>
            <li>Option d</li>
      <li>3hrs</li>
        </ol>
    </ol>
    </li>
  </li>
    <li>Question 50
 
        <ol type="a">
  <li>The lengths of the parallel sides of a trapezium are 5cm and 7cm. If its area is 120cm², find the perpendicular distance between the sides.
            <li>Option a</li>
    <ol type="a">
            <li>Option b</li>
      <li>5.0cm</li>
            <li>Option c</li>
      <li>6.9cm</li>
            <li>Option d</li>
      <li>10.0cm</li>
        </ol>
      <li>20.0cm</li>
    </li>
    </ol>
  </li>
 
  <li>The arc of a circle 50cm long subtends an angle of 75° at the center of the circle. Find, correct to 3 significant figures, the radius of the circle. [<math>\pi = \frac{22}{7}</math>].
    <ol type="a">
      <li>8.74cm</li>
      <li>38.2cm</li>
      <li>61.2cm</li>
      <li>76.4cm</li>
    </ol>
  </li>
 
  <li>In the diagram, |PQ| = |PS| and |RQ| = |RS|. Which statement is true?
    <ol type="a">
      <li><math>\angle QPS = \angle QRS</math></li>
      <li>|PO| = |RO|</li>
      <li>OR ∥ PS</li>
      <li><math>\angle PQR = \angle PSR</math></li>
    </ol>
  </li>
 
  <li>The area of a circle is 38.5cm². Find its diameter (<math>\pi = \frac{22}{7}</math>).
    <ol type="a">
      <li>22cm</li>
      <li>14cm</li>
      <li>7cm</li>
      <li>6cm</li>
    </ol>
  </li>
 
  <li>Find the volume (in cm³) of the solid.
    <ol type="a">
      <li>100 cm³</li>
      <li>150cm³</li>
      <li>175cm³</li>
      <li>250cm³</li>
    </ol>
  </li>
 
  <li>Solve the equation <math>3 + 5x - 2x^2 = 0</math>
    <ol type="a">
      <li><math>-\frac{1}{2}</math>, -3</li>
      <li>2, 3</li>
      <li>-2, 3</li>
      <li><math>-\frac{1}{2}</math>, 3</li>
    </ol>
  </li>
 
  <li>If the simple interest on ₦2,000 after 9 months is ₦60, at what rate per annum is the interest charged?
    <ol type="a">
      <li>2<math>\frac{1}{4}</math>%</li>
      <li>4%</li>
      <li>5%</li>
      <li>6%</li>
    </ol>
  </li>
</ol>
</ol>



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Objective Test Questions

  1. Express as a percentage, correct to 1 decimal place.
    1. 2.7%
    2. 3.7%
    3. 27.1%
    4. 36.8%
  2. Express 398753 correct to three significant figures.
    1. 398000
    2. 398700
    3. 398800
    4. 399000
  3. Simplify
  4. Find the missing number in base seven addition:
    1. 3453
    2. 5556
    3. 6016
    4. 13453
  5. What fraction must be subtracted from the sum of and to give ?
  6. Simplify
  7. Which number is a perfect cube?
    1. 350
    2. 504
    3. 950
    4. 1728
  8. If , find the value of
    1. 5
    2. 7
    3. 8
    4. 9
  9. The ages of three men are in ratio 3:4:5. If difference between the ages of the oldest and youngest is 18 years, find the sum of the ages of the three men.
    1. 45 years
    2. 72 years
    3. 108 years
    4. 216 years
  10. Given that , find
    1. 64
    2. 81
  11. Given that the logarithm of a number is , find correct to 2 significant figures, the square root of the number.
    1. 0.29
    2. 0.75
    3. 0.86
    4. 0.93
  12. A car moving at an average speead of . How long does it take to cover 200m in?
    1. 2.4 sec
    2. 24 sec
    3. 144 sec
    4. 240 sec
  13. A man bought a television set on hire purchase for ₦, out of which he paid ₦. If he is allowed to pay the balance in eight equal instalments, find the value of each instalment.
  14. A tree is due south of a building. Kofi is standing west of the tree. Use this information to answer questions 14 and 15
  15. How far is Kofi from the building?
  16. Find the bearing of Kofi from the building.
  17. Which of the following bearings is equivalent to ?
  18. In the diagram, AB is a vertical pole and BC is horizontal. If and , calculate the angle of depression of C from A.
  19. The bar chart shows the distribution of marks scored by a group of students in a test.
  20. How many students scored 4 marks and above?
    1. 15
    2. 11
    3. 10
    4. 7
  21. How many students took the test?
    1. 38
    2. 22
    3. 15
    4. 11
  22. Calculate the standard deviation of the following:
    1. 1.5
    2. 1.7
    3. 1.8
    4. 1.9
  23. The probabilities that Kodjo and Adoga passed an examination are and respectively. Find the probability of both boys failing the examination.
  24. Which of the following triangles are congruent?
    1. I and II only
    2. II and IV only
    3. I and II only
    4. II and III only
  25. Which of the following statements is/are not true about a rectangle? I Each diagonal cuts the rectangle into two congruent triangles. II A rectangle has four lines of symmetry. III The diagonals intersect at right angles.
    1. I and II only
    2. III only
    3. II only
    4. II and III only
  26. In the diagram, PQRS is a circle with centre O. POR is a diameter and . Calculate .
  27. Each side of a regular convex polygon subtends an angle of at its centre. Calculate each interior angle.
  28. If the interior angles of a hexagon are and , find .
  29. In the diagram, POS and ROT are straight lines. OPQR is a parallelogram. and . Calculate .
  30. Given that and , evaluate .
  31. Given that , find .
  32. Given that is a factor of , find the other factor.
  33. Given that is a factor of , find the other factor.
  34. Simplify
  35. Which of the following number line represents the inequality ?
  36. Form an inequality for a distance metres which is more than 18m but not more than 23m.
    1. or
  37. Find the equation whose roots are -8 and 5.
  38. Make the subject of the formula
  39. Solve the equation
    1. or
    2. or
    3. or
    4. or
  40. Find the value of such that the expression equals zero
  41. Given that varies directly as while varies inversely as , which statement is true?
    1. varies directly as
    2. varies inversely as
    3. varies directly as
    4. varies inversely as
  42. In the diagram, PQS is a circle with center O. RST is a tangent at S and . Find .
  43. A bicycle wheel of radius 42 cm is rolled over a distance of 66 metres. How many revolutions does it make? ()
    1. 2.5
    2. 5
    3. 25
    4. 50
  44. The height of a pyramid on a square base is 15cm. If the volume is 80cm³, find the area of the square base.
    1. 8cm²
    2. 9.6cm²
    3. 16cm²
    4. 25cm²
  45. A tap leaks at the rate of 2cm³ per second. How long will it take to fill a container of 45 litres capacity? (1 litre = 1000 cm³)
    1. 8 hours
    2. 6 hours 15min
    3. 4 hrs 25min
    4. 3hrs
  46. The lengths of the parallel sides of a trapezium are 5cm and 7cm. If its area is 120cm², find the perpendicular distance between the sides.
    1. 5.0cm
    2. 6.9cm
    3. 10.0cm
    4. 20.0cm
  47. The arc of a circle 50cm long subtends an angle of 75° at the center of the circle. Find, correct to 3 significant figures, the radius of the circle. [].
    1. 8.74cm
    2. 38.2cm
    3. 61.2cm
    4. 76.4cm
  48. In the diagram, |PQ| = |PS| and |RQ| = |RS|. Which statement is true?
    1. |PO| = |RO|
    2. OR ∥ PS
  49. The area of a circle is 38.5cm². Find its diameter ().
    1. 22cm
    2. 14cm
    3. 7cm
    4. 6cm
  50. Find the volume (in cm³) of the solid.
    1. 100 cm³
    2. 150cm³
    3. 175cm³
    4. 250cm³
  51. Solve the equation
    1. , -3
    2. 2, 3
    3. -2, 3
    4. , 3
  52. If the simple interest on ₦2,000 after 9 months is ₦60, at what rate per annum is the interest charged?
    1. 2%
    2. 4%
    3. 5%
    4. 6%

Theory

Section A

  1. Question 1
    1. Sub-question a
      1. Sub-question i
      2. Sub-question ii
      3. Sub-question iii
      4. Sub-question iv
      5. Sub-question v
    2. Sub-question b
      1. Sub-question i
      2. Sub-question ii
      3. Sub-question iii
      4. Sub-question iv
      5. Sub-question v
    3. Sub-question c
      1. Sub-question i
      2. Sub-question ii
      3. Sub-question iii
      4. Sub-question iv
      5. Sub-question v
    4. Sub-question d
      1. Sub-question i
      2. Sub-question ii
      3. Sub-question iii
      4. Sub-question iv
      5. Sub-question v
    5. Sub-question e
      1. Sub-question i
      2. Sub-question ii
      3. Sub-question iii
      4. Sub-question iv
      5. Sub-question v
    6. Sub-question f
      1. Sub-question i
      2. Sub-question ii
      3. Sub-question iii
      4. Sub-question iv
      5. Sub-question v
  2. Question 2
    1. Sub-question a
      1. Sub-question i
      2. Sub-question ii
      3. Sub-question iii
      4. Sub-question iv
      5. Sub-question v
    2. Sub-question b
      1. Sub-question i
      2. Sub-question ii
      3. Sub-question iii
      4. Sub-question iv
      5. Sub-question v
    3. Sub-question c
      1. Sub-question i
      2. Sub-question ii
      3. Sub-question iii
      4. Sub-question iv
      5. Sub-question v
    4. Sub-question d
      1. Sub-question i
      2. Sub-question ii
      3. Sub-question iii
      4. Sub-question iv
      5. Sub-question v
    5. Sub-question e
      1. Sub-question i
      2. Sub-question ii
      3. Sub-question iii
      4. Sub-question iv
      5. Sub-question v
    6. Sub-question f
      1. Sub-question i
      2. Sub-question ii
      3. Sub-question iii
      4. Sub-question iv
      5. Sub-question v
  3. Question 3
    1. Sub-question a
      1. Sub-question i
      2. Sub-question ii
      3. Sub-question iii
      4. Sub-question iv
      5. Sub-question v
    2. Sub-question b
      1. Sub-question i
      2. Sub-question ii
      3. Sub-question iii
      4. Sub-question iv
      5. Sub-question v
    3. Sub-question c
      1. Sub-question i
      2. Sub-question ii
      3. Sub-question iii
      4. Sub-question iv
      5. Sub-question v
    4. Sub-question d
      1. Sub-question i
      2. Sub-question ii
      3. Sub-question iii
      4. Sub-question iv
      5. Sub-question v
    5. Sub-question e
      1. Sub-question i
      2. Sub-question ii
      3. Sub-question iii
      4. Sub-question iv
      5. Sub-question v
    6. Sub-question f
      1. Sub-question i
      2. Sub-question ii
      3. Sub-question iii
      4. Sub-question iv
      5. Sub-question v
  4. Question 4
    1. Sub-question a
      1. Sub-question i
      2. Sub-question ii
      3. Sub-question iii
      4. Sub-question iv
      5. Sub-question v
    2. Sub-question b
      1. Sub-question i
      2. Sub-question ii
      3. Sub-question iii
      4. Sub-question iv
      5. Sub-question v
    3. Sub-question c
      1. Sub-question i
      2. Sub-question ii
      3. Sub-question iii
      4. Sub-question iv
      5. Sub-question v
    4. Sub-question d
      1. Sub-question i
      2. Sub-question ii
      3. Sub-question iii
      4. Sub-question iv
      5. Sub-question v
    5. Sub-question e
      1. Sub-question i
      2. Sub-question ii
      3. Sub-question iii
      4. Sub-question iv
      5. Sub-question v
    6. Sub-question f
      1. Sub-question i
      2. Sub-question ii
      3. Sub-question iii
      4. Sub-question iv
      5. Sub-question v
  5. Question 5
    1. Sub-question a
      1. Sub-question i
      2. Sub-question ii
      3. Sub-question iii
      4. Sub-question iv
      5. Sub-question v
    2. Sub-question b
      1. Sub-question i
      2. Sub-question ii
      3. Sub-question iii
      4. Sub-question iv
      5. Sub-question v
    3. Sub-question c
      1. Sub-question i
      2. Sub-question ii
      3. Sub-question iii
      4. Sub-question iv
      5. Sub-question v
    4. Sub-question d
      1. Sub-question i
      2. Sub-question ii
      3. Sub-question iii
      4. Sub-question iv
      5. Sub-question v
    5. Sub-question e
      1. Sub-question i
      2. Sub-question ii
      3. Sub-question iii
      4. Sub-question iv
      5. Sub-question v
    6. Sub-question f
      1. Sub-question i
      2. Sub-question ii
      3. Sub-question iii
      4. Sub-question iv
      5. Sub-question v

Section B

  1. Question 6
    1. Sub-question a
      1. Sub-question i
      2. Sub-question ii
      3. Sub-question iii
      4. Sub-question iv
      5. Sub-question v
    2. Sub-question b
      1. Sub-question i
      2. Sub-question ii
      3. Sub-question iii
      4. Sub-question iv
      5. Sub-question v
    3. Sub-question c
      1. Sub-question i
      2. Sub-question ii
      3. Sub-question iii
      4. Sub-question iv
      5. Sub-question v
    4. Sub-question d
      1. Sub-question i
      2. Sub-question ii
      3. Sub-question iii
      4. Sub-question iv
      5. Sub-question v
    5. Sub-question e
      1. Sub-question i
      2. Sub-question ii
      3. Sub-question iii
      4. Sub-question iv
      5. Sub-question v
    6. Sub-question f
      1. Sub-question i
      2. Sub-question ii
      3. Sub-question iii
      4. Sub-question iv
      5. Sub-question v
  2. Question 7
    1. Sub-question a
      1. Sub-question i
      2. Sub-question ii
      3. Sub-question iii
      4. Sub-question iv
      5. Sub-question v
    2. Sub-question b
      1. Sub-question i
      2. Sub-question ii
      3. Sub-question iii
      4. Sub-question iv
      5. Sub-question v
    3. Sub-question c
      1. Sub-question i
      2. Sub-question ii
      3. Sub-question iii
      4. Sub-question iv
      5. Sub-question v
    4. Sub-question d
      1. Sub-question i
      2. Sub-question ii
      3. Sub-question iii
      4. Sub-question iv
      5. Sub-question v
    5. Sub-question e
      1. Sub-question i
      2. Sub-question ii
      3. Sub-question iii
      4. Sub-question iv
      5. Sub-question v
    6. Sub-question f
      1. Sub-question i
      2. Sub-question ii
      3. Sub-question iii
      4. Sub-question iv
      5. Sub-question v
  3. Question 8
    1. Sub-question a
      1. Sub-question i
      2. Sub-question ii
      3. Sub-question iii
      4. Sub-question iv
      5. Sub-question v
    2. Sub-question b
      1. Sub-question i
      2. Sub-question ii
      3. Sub-question iii
      4. Sub-question iv
      5. Sub-question v
    3. Sub-question c
      1. Sub-question i
      2. Sub-question ii
      3. Sub-question iii
      4. Sub-question iv
      5. Sub-question v
    4. Sub-question d
      1. Sub-question i
      2. Sub-question ii
      3. Sub-question iii
      4. Sub-question iv
      5. Sub-question v
    5. Sub-question e
      1. Sub-question i
      2. Sub-question ii
      3. Sub-question iii
      4. Sub-question iv
      5. Sub-question v
    6. Sub-question f
      1. Sub-question i
      2. Sub-question ii
      3. Sub-question iii
      4. Sub-question iv
      5. Sub-question v
  4. Question 9
    1. Sub-question a
      1. Sub-question i
      2. Sub-question ii
      3. Sub-question iii
      4. Sub-question iv
      5. Sub-question v
    2. Sub-question b
      1. Sub-question i
      2. Sub-question ii
      3. Sub-question iii
      4. Sub-question iv
      5. Sub-question v
    3. Sub-question c
      1. Sub-question i
      2. Sub-question ii
      3. Sub-question iii
      4. Sub-question iv
      5. Sub-question v
    4. Sub-question d
      1. Sub-question i
      2. Sub-question ii
      3. Sub-question iii
      4. Sub-question iv
      5. Sub-question v
    5. Sub-question e
      1. Sub-question i
      2. Sub-question ii
      3. Sub-question iii
      4. Sub-question iv
      5. Sub-question v
    6. Sub-question f
      1. Sub-question i
      2. Sub-question ii
      3. Sub-question iii
      4. Sub-question iv
      5. Sub-question v
  5. Question 10
    1. Sub-question a
      1. Sub-question i
      2. Sub-question ii
      3. Sub-question iii
      4. Sub-question iv
      5. Sub-question v
    2. Sub-question b
      1. Sub-question i
      2. Sub-question ii
      3. Sub-question iii
      4. Sub-question iv
      5. Sub-question v
    3. Sub-question c
      1. Sub-question i
      2. Sub-question ii
      3. Sub-question iii
      4. Sub-question iv
      5. Sub-question v
    4. Sub-question d
      1. Sub-question i
      2. Sub-question ii
      3. Sub-question iii
      4. Sub-question iv
      5. Sub-question v
    5. Sub-question e
      1. Sub-question i
      2. Sub-question ii
      3. Sub-question iii
      4. Sub-question iv
      5. Sub-question v
    6. Sub-question f
      1. Sub-question i
      2. Sub-question ii
      3. Sub-question iii
      4. Sub-question iv
      5. Sub-question v
  6. Question 11
    1. Sub-question a
      1. Sub-question i
      2. Sub-question ii
      3. Sub-question iii
      4. Sub-question iv
      5. Sub-question v
    2. Sub-question b
      1. Sub-question i
      2. Sub-question ii
      3. Sub-question iii
      4. Sub-question iv
      5. Sub-question v
    3. Sub-question c
      1. Sub-question i
      2. Sub-question ii
      3. Sub-question iii
      4. Sub-question iv
      5. Sub-question v
    4. Sub-question d
      1. Sub-question i
      2. Sub-question ii
      3. Sub-question iii
      4. Sub-question iv
      5. Sub-question v
    5. Sub-question e
      1. Sub-question i
      2. Sub-question ii
      3. Sub-question iii
      4. Sub-question iv
      5. Sub-question v
    6. Sub-question f
      1. Sub-question i
      2. Sub-question ii
      3. Sub-question iii
      4. Sub-question iv
      5. Sub-question v
  7. Question 12
    1. Sub-question a
      1. Sub-question i
      2. Sub-question ii
      3. Sub-question iii
      4. Sub-question iv
      5. Sub-question v
    2. Sub-question b
      1. Sub-question i
      2. Sub-question ii
      3. Sub-question iii
      4. Sub-question iv
      5. Sub-question v
    3. Sub-question c
      1. Sub-question i
      2. Sub-question ii
      3. Sub-question iii
      4. Sub-question iv
      5. Sub-question v
    4. Sub-question d
      1. Sub-question i
      2. Sub-question ii
      3. Sub-question iii
      4. Sub-question iv
      5. Sub-question v
    5. Sub-question e
      1. Sub-question i
      2. Sub-question ii
      3. Sub-question iii
      4. Sub-question iv
      5. Sub-question v
    6. Sub-question f
      1. Sub-question i
      2. Sub-question ii
      3. Sub-question iii
      4. Sub-question iv
      5. Sub-question v
  8. Question 13
    1. Sub-question a
      1. Sub-question i
      2. Sub-question ii
      3. Sub-question iii
      4. Sub-question iv
      5. Sub-question v
    2. Sub-question b
      1. Sub-question i
      2. Sub-question ii
      3. Sub-question iii
      4. Sub-question iv
      5. Sub-question v
    3. Sub-question c
      1. Sub-question i
      2. Sub-question ii
      3. Sub-question iii
      4. Sub-question iv
      5. Sub-question v
    4. Sub-question d
      1. Sub-question i
      2. Sub-question ii
      3. Sub-question iii
      4. Sub-question iv
      5. Sub-question v
    5. Sub-question e
      1. Sub-question i
      2. Sub-question ii
      3. Sub-question iii
      4. Sub-question iv
      5. Sub-question v
    6. Sub-question f
      1. Sub-question i
      2. Sub-question ii
      3. Sub-question iii
      4. Sub-question iv
      5. Sub-question v