2011 General Mathematics WAEC SSCE (School Candidates) May/June

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Objective Test Questions

If ₦112.00 exchanges for D14.94. Calculate the value of D1.00 in naira
1. 0.13
2. 7.49
3. 8.00
4. 13.00
Solve for x in the equation ${\tfrac {3}{5}}{\bigl (}2x-1)$ ${\tfrac {3}{5}}{\bigl (}2x-1)$ = ${\tfrac {1}{4}}{\bigl (}5x-3{\bigr )}$ ${\tfrac {1}{4}}{\bigl (}5x-3{\bigr )}$
1. 0
2. 1
3. 2
4. 3
Given that cos x° = ${\tfrac {1}{r}}$ _’ express tan x° in terms of r.
1. ${\tfrac {1}{\sqrt {r}}}$
2. ${\sqrt {r}}$
3. ${\sqrt {r^{2}+1}}$
4. ${\sqrt {r^{2}-1}}$
The diagram shows a cyclic quadrilateral PQRS with its diagonals intersecting at K. Which of the following triangles is similar to triangle QKR?
1. △ PQK
2. △PKS
3. △SKR
4. △PSR
In the diagram, OP and OR are radii, |PQ| =|QR| and reflex ᐸPOR is 240°. Calculate the value of x.
1. 60°
2. 55°
3. 50°
4. 45°
If a number is chosen at random from the set (x: 4≤x≤15), find the probability that it is a multiple of 3 or a multiple of 4.
1. ${\tfrac {1}{12}}$
2. ${\tfrac {5}{12}}$
3. ${\tfrac {1}{2}}$
4. ${\tfrac {11}{12}}$
Solve the equations: ${\begin{cases}3x-2y=7\\x+2y=-3\end{cases}}$ ${\begin{cases}3x-2y=7\\x+2y=-3\end{cases}}$
1. x = 1, y = -2
2. x = 1, y = 3
3. x = 2, y = -1
4. x = 4, y = -3
One of the factors of (mn − nq − n² + mq) is (m − n). The other factor is:
1. (n − q)
2. (q − n)
3. (n + q)
4. (q − m)
A cylindrical container has a base radius of 14cm and height 18cm. How many litres, correct to the nearest litre, of liquid can it hold?
[Take π = ${\tfrac {22}{7}}$ ]
1. 11
2. 14
3. 16
4. 18
Find the size of the angle marked x in the diagram.
1. 108°
2. 112°
3. 128°
4. 142°
A regular polygon of a n sides has each exterior angle equal to 45°. Find the value of n.
1. 6
2. 8
3. 12
4. 15
Esther was facing S 20° W. She turned 90° in the clockwise direction. What direction is she facing?
1. N 70° W
2. S 70° W
3. N 20° W
4. S 20° E
  The histogram shows the age distribution of members of a club. Use the information to answer questions 13 and 14.
How many members are in the club?
1. 52
2. 50
3. 48
4. 40
What is their modal age?
1. 44.5
2. 42.5
3. 41.5
4. 40.5
The cross section of a uniform prism is a right-angled triangle with sides 3, 4 and 5 cm. If its length is 10 cm, calculate the total surface area.
1. 142 cm²
2. 132 cm²
3. 122 cm²
4. 112 cm²
Form the equation whose roots are x = ${\tfrac {1}{2}}$ ${\tfrac {1}{2}}$ and − ${\tfrac {2}{3}}$ ${\tfrac {2}{3}}$ .
1. 6x² − x + 2 = 0
2. 6x² − x − 2 = 0
3. 6x² + x + 2 = 0
4. 6x² + x − 2 = 0
Simplify: ${\tfrac {\log {\sqrt {27}}}{\log {\sqrt {81}}}}$ ${\tfrac {\log {\sqrt {27}}}{\log {\sqrt {81}}}}$ .
1. 3
2. 2
3. ${\tfrac {3}{2}}$
4. ${\tfrac {3}{4}}$
Which of these angles can be constructed using ruler and a pair of compasses only?
1. 115°
2. 125°
3. 135°
4. 145°
The perimeter of a sector of a circle of radius 4 cm is ( π + 8) cm. Calculate the angle of the sector.
1. 45°
2. 60°
3. 75°
4. 90°
The length of a piece of stick is 1.75 m. A girl measured it as 1.80 m. Find the percentage error.
1. ${\tfrac {284}{7}}$ %
2. ${\tfrac {29}{7}}$ %
3. 5%
4. ${\tfrac {20}{7}}$ %
What is the value of 3 in the number 42.7531?
1. ${\tfrac {3}{10000}}$
2. ${\tfrac {3}{1000}}$
3. ${\tfrac {3}{100}}$
4. ${\tfrac {3}{10}}$
The height of a cylinder is equal to its radius. If the volume is 0.216πm³, calculate the radius.
1. 0.46m
2. 0.60m
3. 0.87m
4. 1.80m
Question 23
1. Option a
2. Option b
3. Option c
4. Option d
Question 24
1. Option a
2. Option b
3. Option c
4. Option d
Question 25
1. Option a
2. Option b
3. Option c
4. Option d
Question 26
1. Option a
2. Option b
3. Option c
4. Option d
Question 27
1. Option a
2. Option b
3. Option c
4. Option d
Question 28
1. Option a
2. Option b
3. Option c
4. Option d
Question 29
1. Option a
2. Option b
3. Option c
4. Option d
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

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