2013 General Mathematics WAEC SSCE (School Candidates) May/June

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Objective Test Questions

Multiply 2.7 × $10^{-4}$ $10^{-4}$ by 6.3 × $10^{6}$ $10^{6}$ and leave your answer in standard form.
1. 1.7 × $10^{3}$
2. 1.70 × $10^{3}$
3. 1.701 × $10^{3}$
4. 17.01 × $10^{3}$
If $9^{(2-x)}=3$ $9^{(2-x)}=3$ , find x.
1. 1
2. ${\frac {3}{2}}$
3. 2
4. ${\frac {5}{2}}$
In what number base is the addition 465 + 24 + 225 = 1050?
1. Ten
2. Nine
3. Eight
4. Seven
Simplify: ${\frac {1{\tfrac {7}{8}}\times 2{\tfrac {2}{5}}}{6{\tfrac {3}{4}}\div {\tfrac {3}{4}}}}$ ${\frac {1{\tfrac {7}{8}}\times 2{\tfrac {2}{5}}}{6{\tfrac {3}{4}}\div {\tfrac {3}{4}}}}$
1. 9
2. $4{\frac {1}{2}}$
3. 2
4. ${\frac {1}{2}}$
If U_n = n(n² + 1), evaluate U₅ - U₄.
1. 18
2. 56
3. 62
4. 80
If $\surd 50-K\surd 8={\tfrac {2}{\surd 2}}$ $\surd 50-K\surd 8={\tfrac {2}{\surd 2}}$
1. -2
2. -1
3. 1
4. 2
A sales boy gave a change of ₦68 instead of ₦72. Calculate his percentage error.
1. 4%
2. $5{\frac {5}{9}}\%$
3. 5 ${\frac {15}{17}}\%$
4. 7%
Four oranges sell for ₦x and three mangoes sell for ₦y. Olu bought 24 oranges and 12 mangoes. How much did he pay in terms of x and y?
1. ₦(4x + 6y)
2. ₦(6x + 4y)
3. ₦(24x + 12y)
4. ₦(12x + 24y)
Simplify: ${\frac {x^{2}-y^{2}}{(x+y)^{2}}}+{\frac {(x-y)^{2}}{3x+3y}}$ ${\frac {x^{2}-y^{2}}{(x+y)^{2}}}+{\frac {(x-y)^{2}}{3x+3y}}$
1. ${\frac {x-y}{3}}$
2. x + y
3. ${\frac {3}{x-y}}$
4. x - y
Solve the inequality: ${\frac {2x-5}{2}}<(2-x)$ ${\frac {2x-5}{2}}<(2-x)$
1. x > 0
2. x < ${\tfrac {1}{4}}$
3. x > $2{\tfrac {1}{2}}$
4. x < $2{\tfrac {1}{4}}$
If x = 64 and y = 27, calculate: ${\frac {x^{\tfrac {1}{2}}-y^{\tfrac {1}{3}}}{y-x^{\tfrac {2}{5}}}}$ ${\frac {x^{\tfrac {1}{2}}-y^{\tfrac {1}{3}}}{y-x^{\tfrac {2}{5}}}}$
1. $2{\tfrac {1}{5}}$
2. 1
3. ${\tfrac {5}{11}}$
4. ${\tfrac {11}{43}}$
Which of the following lines represents the solution of the inequality 7x < 9x —4?
1. Option a
2. Option b
3. Option c
4. Option d
If ${\frac {1}{2}}$ ${\frac {1}{2}}$ x + 2y = 3 and ${\frac {3}{2}}$ ${\frac {3}{2}}$ x - 2y = 1, find (x + y).
1. 3
2. 2
3. 1
4. 0
Given that $p^{\tfrac {1}{3}}={\frac {\sqrt[{3}]{q}}{r}}$ $p^{\tfrac {1}{3}}={\frac {\sqrt[{3}]{q}}{r}}$ , make q the subject of the equation.
1. $q=p{\sqrt {r}}$
2. $q=p^{3}r$
3. $q=pr^{3}$
4. $q=pr^{\tfrac {1}{3}}$
In a diagram, PRST is a square. If |PQ| = 24cm. |QR| = 10cm and $\angle$ $\angle$ PQR =90°; find the perimeter of the polygon PQRST.
1. 112cm
2. 98cm
3. 86cm
4. 84cm
In the diagram, the height of a flagpole (TF) and the length of its shadow (FL) are in the ratio 6:8. Using K as a constant of proportionality, find the shortest distance between T and L.
1. 7K units
2. 10K units
3. 12K units
4. 14K units
A chord is 2cm from the centre of a circle. If the radius of the circle is 5cm, find the length of the chord.
1. $2{\sqrt {21cm}}$
2. ${\sqrt {42}}$ cm
3. $2{\sqrt {19cm}}$
4. ${\sqrt {21cm}}$
A cube and a cuboid have the same base area. The volume of the cube is 64 cm³ while that of the cuboid is 80 cm³?.
1. 2 cm
2. 3 cm
3. 5 cm
4. 6 cm
In the diagram, ${\overline {VX}}$ ${\overline {VX}}$ is a tangent to the circle UYW at W. If WY//UV, $\angle$ $\angle$ UYW = 95° and $\angle$ $\angle$ UWY = 46°, find $\angle$ $\angle$ UVW.
1. 51°
2. 49°
3. 39°
4. 34°
In the diagrams, |XZ| = |MN|, |ZY| = |MO| and |XY| = |NO|. Which of the following statements is true?
1. $\vartriangle$ ZYX $\equiv$ $\vartriangle$ OMN
2. $\vartriangle$ YZX $\equiv$ $\vartriangle$ NOM
3. $\vartriangle$ ZXY $\equiv$ $\vartriangle$ MON
4. $\vartriangle$ XYZ $\equiv$ $\vartriangle$ NOM
In the diagram, PQRS is a rhombus and $\angle$ $\angle$ PSQ = 35°. Calculate the size of $\angle$ $\angle$ PRQ.
1. 65°
2. 55°
3. 45°
4. 35°
Find the value of m in the diagram.
1. 34°
2. 27°
3. 23°
4. 17°
In the diagram, O is the centre of the circle, OM\\XZ and $\angle$ $\angle$ ZOM = 25°. Calculate $\angle$ $\angle$ XYZ.
1. 50°
2. 55°
3. 60°
4. 65°
If sin x = ${\tfrac {5}{13}}$ ${\tfrac {5}{13}}$ and cos x = 90°. find the value of (cos x − tan x).
1. ${\tfrac {07}{13}}$
2. ${\tfrac {12}{13}}$
3. ${\tfrac {79}{156}}$
4. ${\tfrac {209}{156}}$
An object is 6 m away from the base of a mast. The angle of depression of the object from the top of the mast is 50. Find, correct to 2 decimal places, the height of the mast.
1. 8.60 m
2. 7.51 m
3. 7.15 m
4. 1.19 m
The bearing of Y from X is 060° and the bearing of Z from Y is 060°. Find the bearing of X from Z.
1. 300°
2. 240°
3. 180°
4. 120°
Which of the following is not a probability of Mary scoring 85% in a mathematics test?
1. 0.15
2. 0.57
3. 0.94
4. 1.01
  Use this histogram to answer questions 28 and 29
Estimate the mode of the distribution
1. 51.5
2. 52.5
3. 53.5
4. 54.5
What is the median class?
1. 60.5 - 70.5
2. 50.5 - 60.5
3. 40.5 - 50.5
4. 30.5 - 40.5
Question 30
1. Option a
2. Option b
3. Option c
4. Option d
Question 31
1. Option a
2. Option b
3. Option c
4. Option d
Question 32
1. Option a
2. Option b
3. Option c
4. Option d
Question 33
1. Option a
2. Option b
3. Option c
4. Option d
Question 34
1. Option a
2. Option b
3. Option c
4. Option d
Question 35
1. Option a
2. Option b
3. Option c
4. Option d
Question 36
1. Option a
2. Option b
3. Option c
4. Option d
Question 37
1. Option a
2. Option b
3. Option c
4. Option d
Question 38
1. Option a
2. Option b
3. Option c
4. Option d
Question 39
1. Option a
2. Option b
3. Option c
4. Option d
Question 40
1. Option a
2. Option b
3. Option c
4. Option d
Question 41
1. Option a
2. Option b
3. Option c
4. Option d
Question 42
1. Option a
2. Option b
3. Option c
4. Option d
Question 43
1. Option a
2. Option b
3. Option c
4. Option d
Question 44
1. Option a
2. Option b
3. Option c
4. Option d
Question 45
1. Option a
2. Option b
3. Option c
4. Option d
Question 46
1. Option a
2. Option b
3. Option c
4. Option d
Question 47
1. Option a
2. Option b
3. Option c
4. Option d
Question 48
1. Option a
2. Option b
3. Option c
4. Option d
Question 49
1. Option a
2. Option b
3. Option c
4. Option d
Question 50
1. Option a
2. Option b
3. Option c
4. Option d

Theory

Section A

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
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
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
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
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

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
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
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
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
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
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
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
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