2016 General Mathematics WAEC SSCE (School Candidates) May/June

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Objective Test Questions

If 23_x + 101_x = 130_x. Find the value of x.
1. 7
2. 6
3. 5
4. 4
Simplify: $({\tfrac {3}{4}}-{\tfrac {2}{3}})\times 1{\tfrac {1}{5}}$ $({\tfrac {3}{4}}-{\tfrac {2}{3}})\times 1{\tfrac {1}{5}}$
1. ${\tfrac {1}{60}}$
2. ${\tfrac {5}{72}}$
3. ${\tfrac {1}{10}}$
4. $1{\tfrac {7}{10}}$
Simplify: $({\tfrac {10{\sqrt {3}}}{\sqrt {5}}}-{\sqrt {15}})^{2}$ $({\tfrac {10{\sqrt {3}}}{\sqrt {5}}}-{\sqrt {15}})^{2}$
1. 75.00
2. 15.00
3. 8.66
4. 3.87
The distance, d, through which a stone falls from rest varies directly as the square of the time, t, taken. If the stone falls 45 cm in 3 seconds, how far will it fall in 6 seconds?
1. 90 cm
2. 135 cm
3. 180 cm
4. 225 cm
Which of the following is a valid conclusion from the premise: 'Nigerian footballers are good footballers'?
1. Joseph plays football in Nigeria therefore he is a good footballer.
2. Joseph is a good footballer therefore he is a Nigerian footballer.
3. Joseph is a Nigerian footballer therefore he is a good footballer.
4. Joseph plays good football therefore he is a Nigerian footballer.
On a map, 1 cm represents 5 km. Find the area on the map that represents 100 km².
1. 2 cm²
2. 4 cm²
3. 8 cm²
4. 16 cm²
Simplify: ${\tfrac {3^{n-1}\times 27^{n+1}}{81^{n}}}$ ${\tfrac {3^{n-1}\times 27^{n+1}}{81^{n}}}$
1. 3²ⁿ
2. 9
3. 3ⁿ
4. 3ⁿ⁺¹
What sum of money will amount to D10,400.00 in 5 years at 6% simple interest?
1. D8,000.00
2. D10,000.00
3. D12,000.00
4. D16,000.00
Which of the following number lines illustrates the solution of the inequality 4 ≤ ${\tfrac {1}{3}}(2x-1)$ ${\tfrac {1}{3}}(2x-1)$ < 5?
1. Option a
2. Option b
3. Option c
4. Option d
The roots of a quadratic equation are ${\tfrac {4}{3}}$ ${\tfrac {4}{3}}$ and ${\tfrac {-3}{7}}$ ${\tfrac {-3}{7}}$
1. 21x² - 19x - 12 = 0
2. 21x² + 37x - 12 = 0
3. 21x² - x + 12 = 0
4. 21x² + 7x - 4 = 0
Find the values of y for which the expression ${\tfrac {y^{2}-9y+18}{y^{2}+4y-21}}$ ${\tfrac {y^{2}-9y+18}{y^{2}+4y-21}}$ is undefined
1. 6, -7
2. 3, -6
3. 3, -7
4. -3, -7
Given that 2x + y = 7 and 3x - 2y = 3, by how much is 7x greater than 10?
1. 1
2. 3
3. 7
4. 17
Simplify: ${\tfrac {2}{1-x}}-{\tfrac {1}{x}}$ ${\tfrac {2}{1-x}}-{\tfrac {1}{x}}$
1. ${\tfrac {x+1}{x(1-x)}}$
2. ${\tfrac {3x-1}{x(1-x)}}$
3. ${\tfrac {3x+1}{x(1-x)}}$
4. ${\tfrac {x-1}{x(1-x)}}$
Make s the subject of the relation: p = s + ${\tfrac {sm^{2}}{nr}}$ ${\tfrac {sm^{2}}{nr}}$
1. s = ${\tfrac {mrp}{nr+m^{2}}}$
2. s = ${\tfrac {nr+m^{2}}{nrp}}$
3. s = ${\tfrac {nrp}{mr+m^{2}}}$
4. s = ${\tfrac {nrp}{nr+m^{2}}}$
Factorize: (2x + 3y)² − (x − 4y)²
1. (3x − y)(x + 7y)
2. (3x + y)(2x − 7y)
3. (3x + y)(x − 7y)
4. (3x − y)(2x + 7y)
The curved surface area of a cylinder 5 cm high is 110 cm². Find the radius of its base. [Take π = ${\tfrac {22}{7}}$ ${\tfrac {22}{7}}$ ]
1. 2.6 cm
2. 3.5 cm
3. 3.6 cm
4. 7.0 cm
The volume of a pyramid with height 15 cm is 90 cm³. If its base is a rectangle with dimensions x cm by 6 cm, find the value of x.
1. 3
2. 5
3. 6
4. 8
In the diagram, ${\overrightarrow {YW}}$ ${\overrightarrow {YW}}$ is a tangent to the circle at X, /UV/ = /VX/ and $\angle$ $\angle$ VXW = 50°. Find the value of $\angle$ $\angle$ VXW
1. 70°
2. 80°
3. 105°
4. 110°
In the diagram, ${\overrightarrow {PF}}$ ${\overrightarrow {PF}}$ , ${\overrightarrow {QT}}$ ${\overrightarrow {QT}}$ , ${\overrightarrow {RG}}$ ${\overrightarrow {RG}}$ intersect at S and PQ / RG. If $\angle$ $\angle$ SPQ = 113° and $\angle$ $\angle$ RST = 22°, find $\angle$ $\angle$ PSQ.
1. 22°
2. 45°
3. 67°
4. 89°
In the diagram, O is the centre of circle, $\angle$ $\angle$ XOZ = (10 m)° and $\angle$ $\angle$ XWZ = m°. Calculate the value of m.
1. 30
2. 36
3. 40
4. 72
Kweku walked 8 m up a slope and was 3 m above the ground. If he walks 12 m further up the slope, how far above the ground will be?
1. 4.5 m
2. 6.0m
3. 7.5 m
4. 9.0 m
In the diagram, TS is a tangent to the circle at S, |PR| = |RS| and $\angle$ $\angle$ PQR = 117°. Calculate $\angle$ $\angle$ PST.
1. 54°
2. 44°
3. 34°
4. 27°
In the diagram, PR/SV/WY, TX/QY, $\angle$ $\angle$ PQT = 48° and $\angle$ $\angle$ TXW = 60°. Find $\angle$ $\angle$ TQU
1. 120°
2. 108°
3. 72°
4. 60° A straight line passes through the points P(1,2) and Q(5,8). Use this information to answers questions 24 and 25.
Calculate the gradient of the line PQ
1. ${\tfrac {3}{5}}$
2. ${\tfrac {2}{3}}$
3. ${\tfrac {3}{2}}$
4. ${\tfrac {5}{3}}$
Calculate the length PQ
1. $4{\sqrt {11}}$
2. $4{\sqrt {10}}$
3. $2{\sqrt {17}}$
4. $2{\sqrt {13}}$
In the diagram, TX is perpendicular to UW, |UX| = 1 cm and TX = |WX| = ${\sqrt {3}}$ ${\sqrt {3}}$ cm. Find $\angle$ $\angle$ UTW.
1. 135°
2. 105°
3. 75°
4. 60°
If cosθ = x and sin 60° = x + 0.5, 0° < θ < 90°, find correct to the nearest degree, the value of θ.
1. 66°
2. 67°
3. 68°
4. 69°
Age (Years) 13 14 15 16 17

Frequency 10 24 8 5 3

The table shows the ages of students in a club. Use it to answer questions 28 and 29
How many students are in the club?
1. 50
2. 55
3. 60
4. 65
Find the median age.
1. 13
2. 14
3. 15
4. 16
The figure is a pie chart which represents the expenditure of a family in a year. If the total income of the family was Le 10,800,000.00, how much was spent on food?
1. Le 2,250,000.00
2. Le 2,700,000.00
3. Le 3,600,000.00
4. Le 4,500,000.00
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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