2015 General Mathematics WAEC SSCE (School Candidates) May/June

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Objective Test Questions

If $\{x:2\leq x\leq 18;x\epsilon \}$ $\{x:2\leq x\leq 18;x\epsilon \}$ and $7+x=4{\pmod {9}}$ $7+x=4{\pmod {9}}$ , find the highest value of $x$ $x$ .
1. 2
2. 5
3. 15
4. 18
The sum of $11011_{2},11111_{2},$ $11011_{2},11111_{2},$ and $10000_{2}$ $10000_{2}$ is $10_{m}10_{n}0_{2}$ $10_{m}10_{n}0_{2}$ . Find the values of $m$ $m$ and $n$ $n$ .
1. m = 0,n = 0
2. m = 1,n = 0
3. m = O, n = 1
4. m = 1, n = 1
A trader bought an engine for $15,000.00 outside Nigeria. If the exchange rate is $0.075 to #1.00, how much did the engine cost in naira?
1. #250,000.00
2. #200,000.00
3. #150,000.00
4. #100,000.00
If ${27^{x}\times 3^{1-x} \over 9^{2x}}-=1,$ ${27^{x}\times 3^{1-x} \over 9^{2x}}-=1,$ find the value of $x$ $x$
1. $1$
2. ${\tfrac {1}{2}}$
3. $-{\tfrac {1}{2}}$
4. $-1$
Find the 7th term of the sequence: 2, 5, 10, 17, 26...
1. 37
2. 48
3. 50
4. 63
Given that $log{}_{x}^{64}=3,$ $log{}_{x}^{64}=3,$ evaluate $xlog_{2}^{8}$ $xlog_{2}^{8}$
1. 6
2. 9
3. 12
4. 24
If $2^{n}=y,$ $2^{n}=y,$ find 2^{$(2+_{3}^{n})$}
1. $4y$ ^{$_{2}^{1}$}
2. $4y$ ^$-3$
3. $2y^{3}$
4. $2y$ ^$-3$
Factorize completely: $6xa-12by-9ay+8bx$ $6xa-12by-9ay+8bx$ .
1. $(2a-3b)(4x+3y)$
2. $(3a+4b)(2x-3y)$
3. $(3a-4b)(2x+3y)$
4. $(2a+3b)(4x-3y)$
Find the equation whose roots are ${\tfrac {3}{4}}$ ${\tfrac {3}{4}}$ and $-4$ $-4$ .
1. $4x^{2}-13x+12=0$
2. $4x^{2}-13x-12=0$
3. $4x^{2}+13x-12=0$
4. $4x^{2}+13x+12=0$
If $m=4$ $m=4$ , $n=9$ $n=9$ and $r=16$ $r=16$ , evaluate ${m \over n}-4{7 \over 9}+{n \over r}$ ${m \over n}-4{7 \over 9}+{n \over r}$
1. $1{5 \over 16}$
2. $1{1 \over 16}$
3. ${5 \over 16}$
4. ${37 \over 48}$
. Adding 42 to a given positive number gives the same result as squaring the number. Find the number.
1. 14
2. 13
3. 7
4. 6
Ada draws the graphs of $y=x^{2}-x-2$ $y=x^{2}-x-2$ and $y=2x-1$ $y=2x-1$ on the same axes. Which of these equations is she solving?
1. $x^{2}-x-3=0$
2. $x^{2}-3x-1=0$
3. $x^{2}-3x-3=0$
4. $x^{2}+3x-1=0$
The volume of a cone of height $3{cm}$ $3{cm}$ is $38{\tfrac {1}{2}}{cm^{3}}$ $38{\tfrac {1}{2}}{cm^{3}}$ . Find the radius of its base. [Take $\pi$ $\pi$ = 22/7].
1. $3.0{cm}$
2. $3.5{cm}$
3. $4.0{cm}$
4. $4.5{cm}$
A sector of a circle with radius $6{cm}$ $6{cm}$ subtends an angle of $60^{\circ }$ $60^{\circ }$ at the center. Calculate its perimeter in terms of $\pi$ $\pi$ .
1. $2(\pi +6){cm}$
2. $2(\pi +3){cm}$
3. $2(\pi +2){cm}$
4. $(\pi +12){cm}$
The dimensions of a rectangular tank are $2m$ $2m$ by $7m$ $7m$ by $11m$ $11m$ . if its volume is equal to that of a cylindrical tank of height $4m$ $4m$ , calculate the base radius of the cylindrical tank. [Take $\pi$ $\pi$ = 22/7]
1. $14m$
2. $7m$
3. $3{\tfrac {1}{2}}m$
4. $1{\tfrac {3}{4}}{m}$
In the diagram above, O is the center of the circle. If PQ//RS and $\angle$ ONS = 140°, find the size of $\angle$ POM.
1. 40°
2. 50°
3. 60°
4. 80°
In the diagram, PTR is a tangent to the circle center O. If angle TON = 108°, calculate the size of angle PTN.
1. 132°
2. 126°
3. 108°
4. 102°
In the diagram, PQ//RT, QR//SU, $\angle$ PQR = 48° $\angle$ RTS = $x^{\circ }$ . Find the value of $x^{\circ }$
1. $134^{\circ }$
2. $132^{\circ }$
3. $96^{\circ }$
4. $48^{\circ }$

In the diagram above, O is the center of the circle, line RT is a diameter $\angle$ PQT = $33^{\circ }$ and $\angle$ TOS = $76^{\circ }$ . Use the diagram to answer question 19 and 20

Calculate the value of angle PTR.
1. $73^{\circ }$
2. $67^{\circ }$
3. $57^{\circ }$
4. $37^{\circ }$
Find the size of angle PRS
1. $76^{\circ }$
2. $71^{\circ }$
3. $38^{\circ }$
4. $33^{\circ }$

The table below shows values for a linear graph


Scores	$x$	$0$	$1{\tfrac {1}{4}}$	$2$	$4$
Frequency	$y$	$3$	$5{\tfrac {1}{2}}$

Use it to answer questions 21 and 22

Find the gradient of the line
1. 1
2. 2
3. 3
4. 4
What is the value of $y$ $y$ when $x=22$ $x=22$ ?
1. 5
2. 7
3. 9
4. 11
Given that $\tan x=2/3$ $\tan x=2/3$ , where $0^{\circ }\leq x\leq 90^{\circ }$ $0^{\circ }\leq x\leq 90^{\circ }$ , find the value of $2\sin x$ $2\sin x$
1. ${2{\sqrt {13}} \over 13}$
2. ${3{\sqrt {13}} \over 13}$
3. ${4{\sqrt {13}} \over 13}$
4. ${6{\sqrt {13}} \over 13}$
PQRS is a square. If $x$ $x$ is the midpoint of PQ, calculate correct to the nearest degree, $\angle$ $\angle$ PXS
1. $53^{\circ }$
2. $55^{\circ }$
3. $63^{\circ }$
4. $65^{\circ }$
The angle of elevation of an aircraft from point $k$ $k$ on the horizontal ground is $30^{\circ }$ $30^{\circ }$ , If the aircraft 800m above the ground, how far is it from $k$ $k$ ?
1. $400.00m$
2. $692.82m$
3. $923.76m$
4. $1,600.00m$
The population of students in a school is $810$ $810$ . If this is represented on a pie chart, calculate the sectoral angle for a class of $72$ $72$ students.
1. $32^{\circ }$
2. $45^{\circ }$
3. $60^{\circ }$
4. $75^{\circ }$
The scores of twenty students in a test are as follows: 44, 47, 48, 49, 50, 51, 52, 53, 54, 58, 59, 60, 61, 62, 63, 65, 67, 70, 73, 75. Find the third quartile.
1. 62
2. 63
3. 64
4. 65


Scores	0 - 4	5 - 9	10 - 14
Frequency	2	1	2

The table above shows the distribution of the scores of some students in a test. Calculate the mean score.
1. 5.6
2. 6.0
3. 6.6
4. 7.0
The probabilities that Kenna, Ebou and Omar will hit a target are 2/3, 3/4, and 4/5 respectively. Find the probability that only Kenna will hit the target.
1. 2/5
2. 7/60
3. 1/30
4. 1/60
In the diagram VW//YZ, |WX| = $6cm$ $6cm$ , |XY| = $16cm$ $16cm$ , |YZ| = $20cm$ $20cm$ and |ZX| = $12cm$ $12cm$ . Calculate |VX|.
1. $3cm$
2. $4cm$
3. $6cm$
4. $8cm$
Tom will be $25$ $25$ years old in $n$ $n$ year’s time. If he is $5$ $5$ years younger than Bade, find Bade’s present age.
1. $(30-n)years$
2. $(20-n)years$
3. $(25-n)years$
4. $(30+n)years$
If ${{\sqrt {2}}+{\sqrt {3}} \over {\sqrt {3}}}$ ${{\sqrt {2}}+{\sqrt {3}} \over {\sqrt {3}}}$ is simplified as $m+n{\sqrt {6}}$ $m+n{\sqrt {6}}$ , find the value of $(m+n)$ $(m+n)$
1. ${\tfrac {1}{3}}$
2. ${\tfrac {2}{3}}$
3. $1{\tfrac {1}{3}}$
4. $1{\tfrac {2}{3}}$
In the diagram, line QT and line PR are straight lines, $\angle$ ROS = ( $3n^{\circ }$ - $20^{\circ }$ ), $\angle$ POT = $2m^{\circ }$ , $\angle$ SOT = $n^{\circ }$ , $\angle$ POL = $m^{\circ }$ and $\angle$ QOL is a right angle. Find the value of $n^{\circ }$
1. $35^{\circ }$
2. $40^{\circ }$
3. $55^{\circ }$
4. $60^{\circ }$
Make $k$ $k$ the subject of the relation
1. $k={H(T^{2}-1) \over T^{2}-T}$
2. $k={HT \over (T-1)^{2}}$
3. $k={H(T^{2}+1) \over T}$
4. $k={H(T-1) \over T}$
Which of the following is used to determine the mode of a grouped data?
1. Bar chart
2. Frequency polygon
3. Ogive
4. Histogram
The area of a rhombus is $110{cm}^{2}$ $110{cm}^{2}$ . If the diagonals are $20$ $20$ and $(2x+1){cm}$ $(2x+1){cm}$ long, find the value of $x$ $x$
1. $5.0$
2. $4.0$
3. $3.0$
4. $2.5$
Simplify: ${3x-y \over xy}-{2x+3x \over 2xy}+{1 \over 2}$ ${3x-y \over xy}-{2x+3x \over 2xy}+{1 \over 2}$
1. ${4x+5y-xy \over 2xy}$
2. ${5y-5x+xy \over 2xy}$
3. ${5x+5y-xy \over 2xy}$
4. ${4x-5y+xy \over 2xy}$
Illustrate graphically, the solution of ${\tfrac {y}{2}}+{\tfrac {1}{8}}+{\tfrac {5y}{8}}$ ${\tfrac {y}{2}}+{\tfrac {1}{8}}+{\tfrac {5y}{8}}$
A farmer uses 2/5 of his land to grow cassava, 1/3 of the remainder for yam and the rest for maize. Find the part of the land used for maize.
1. $2/15$
2. $2/5$
3. $2/3$
4. $4/5$
The rate of consumption of petrol by a vehicle varies directly as the square of the distance covered. If $4$ $4$ litres of petrol is consumed on a distance of $15km$ $15km$ , how far would the vehicle go on $9$ $9$ litres of petrol?
1. $22{\tfrac {1}{2}}{km}$
2. $30{km}$
3. $33{\tfrac {3}{4}}{km}$
4. $45{km}$
A trader bought 100 oranges at 5 for #40.00 and sold them at 20 for #120.00. Find the profit or loss percent.
1. $20\%$ profit
2. $20\%$ loss
3. $25\%$ profit
4. $25\%$ loss
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