2000 General Mathematics WAEC SSCE (School Candidates) May/June

This page is currently under construction. Please check back later for updates.
If you can help improve this page, please contribute!

Objective Test Questions

Express ${\frac {7}{19}}$ ${\frac {7}{19}}$ as a percentage, correct to 1 decimal place.
1. 2.7%
2. 3.7%
3. 27.1%
4. 36.8%
Express 398753 correct to three significant figures.
1. 398000
2. 398700
3. 398800
4. 399000
Simplify ${\frac {10}{\sqrt {32}}}$ ${\frac {10}{\sqrt {32}}}$
1. ${\frac {5}{4}}{\sqrt {2}}$
2. ${\frac {4}{5}}{\sqrt {2}}$
3. ${\frac {5}{16}}{\sqrt {2}}$
4. ${\frac {16}{5}}{\sqrt {2}}$
Find the missing number in base seven addition: ${\begin{array}{r}4\;3\;2\;1_{7}\\1\;2\;3\;4_{7}\\+\ ****_{7}\\\hline 1\;2\;3\;4\;1_{7}\\\end{array}}$ ${\begin{array}{r}4\;3\;2\;1_{7}\\1\;2\;3\;4_{7}\\+\ ****_{7}\\\hline 1\;2\;3\;4\;1_{7}\\\end{array}}$
1. 3453
2. 5556
3. 6016
4. 13453
What fraction must be subtracted from the sum of $2{\frac {1}{6}}$ $2{\frac {1}{6}}$ and $2{\frac {7}{12}}$ $2{\frac {7}{12}}$ to give $3{\frac {1}{4}}$ $3{\frac {1}{4}}$ ?
1. ${\frac {1}{2}}$
2. ${\frac {1}{4}}$
3. ${\frac {3}{4}}$
4. ${\frac {5}{12}}$
Simplify $\left({\frac {16}{81}}\right)^{-{\frac {3}{4}}}\times \surd {\frac {100}{81}}$ $\left({\frac {16}{81}}\right)^{-{\frac {3}{4}}}\times \surd {\frac {100}{81}}$
1. ${\frac {80}{243}}$
2. ${\frac {20}{27}}$
3. ${\frac {25}{6}}$
4. ${\frac {15}{4}}$
Which number is a perfect cube?
1. 350
2. 504
3. 950
4. 1728
If $104_{x}=68$ $104_{x}=68$ , find the value of $x$ $x$
1. 5
2. 7
3. 8
4. 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
Given that $109_{4}x=-3$ $109_{4}x=-3$ , find $x$ $x$
1. ${\frac {1}{81}}$
2. ${\frac {1}{64}}$
3. 64
4. 81
Given that the logarithm of a number is $1.8732$ $1.8732$ , find correct to 2 significant figures, the square root of the number.
1. 0.29
2. 0.75
3. 0.86
4. 0.93
A car moving at an average speead of $30{\text{kmh}}^{-1}$ $30{\text{kmh}}^{-1}$ . How long does it take to cover 200m in?
1. 2.4 sec
2. 24 sec
3. 144 sec
4. 240 sec
A man bought a television set on hire purchase for ₦ $25,000$ $25,000$ , out of which he paid ₦ $10,000$ $10,000$ . If he is allowed to pay the balance in eight equal instalments, find the value of each instalment.
1. ₦ $\,1,250$
2. ₦ $\,1,578$
3. ₦ $\,1,875$
4. ₦ $\,3,125$

8\,{\text{km}}

8\,{\text{km}}

How far is Kofi from the building?
1. $4{\sqrt {2}}\,{\text{km}}$
2. $8\,{\text{km}}$
3. $8{\sqrt {2}}\,{\text{km}}$
4. $16\,{\text{km}}$
Find the bearing of Kofi from the building.
1. $315^{\circ }$
2. $270^{\circ }$
3. $225^{\circ }$
4. $135^{\circ }$
Which of the following bearings is equivalent to $S50^{\circ }W$ $S50^{\circ }W$ ?
1. $040^{\circ }$
2. $130^{\circ }$
3. $220^{\circ }$
4. $230^{\circ }$
In the diagram, AB is a vertical pole and BC is horizontal. If $|AC|=10\,{\text{m}}$ $|AC|=10\,{\text{m}}$ and $|BC|=5\,{\text{m}}$ $|BC|=5\,{\text{m}}$ , calculate the angle of depression of C from A.
1. $63^{\circ }$
2. $60^{\circ }$
3. $45^{\circ }$
4. $27^{\circ }$
How many students scored 4 marks and above?
1. 15
2. 11
3. 10
4. 7
How many students took the test?
1. 38
2. 22
3. 15
4. 11
Calculate the standard deviation of the following: $2,3,6,2,5,0,4,2$ $2,3,6,2,5,0,4,2$
1. 1.5
2. 1.7
3. 1.8
4. 1.9
The probabilities that Kodjo and Adoga passed an examination are ${\frac {3}{4}}$ ${\frac {3}{4}}$ and ${\frac {3}{5}}$ ${\frac {3}{5}}$ respectively. Find the probability of both boys failing the examination.
1. ${\frac {1}{10}}$
2. ${\frac {3}{10}}$
3. ${\frac {9}{20}}$
4. ${\frac {2}{3}}$
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
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
In the diagram, PQRS is a circle with centre O. POR is a diameter and $\angle PBQ=40^{\circ }$ $\angle PBQ=40^{\circ }$ . Calculate $\angle OSR$ $\angle OSR$ .
1. $30^{\circ }$
2. $40^{\circ }$
3. $45^{\circ }$
4. $50^{\circ }$
Each side of a regular convex polygon subtends an angle of $30^{\circ }$ $30^{\circ }$ at its centre. Calculate each interior angle.
1. $75^{\circ }$
2. $150^{\circ }$
3. $160^{\circ }$
4. $168^{\circ }$
If the interior angles of a hexagon are $107^{\circ },2x^{\circ },150^{\circ },95^{\circ },(2x-15)^{\circ }$ $107^{\circ },2x^{\circ },150^{\circ },95^{\circ },(2x-15)^{\circ }$ and $123^{\circ }$ $123^{\circ }$ , find $x$ $x$ .
1. $57{\frac {1}{2}}^{\circ }$
2. $65^{\circ }$
3. $106^{\circ }$
4. $120^{\circ }$
In the diagram, POS and ROT are straight lines. OPQR is a parallelogram. $|OS|=|OT|$ $|OS|=|OT|$ and $\angle OST=50^{\circ }$ $\angle OST=50^{\circ }$ . Calculate $\angle OPQ$ $\angle OPQ$ .
1. $160^{\circ }$
2. $140^{\circ }$
3. $120^{\circ }$
4. $100^{\circ }$
Given that $x=-{\frac {1}{2}}$ $x=-{\frac {1}{2}}$ and $y=4$ $y=4$ , evaluate $3x^{2}y+xy^{2}$ $3x^{2}y+xy^{2}$ .
1. $-5$
2. $-1$
3. $4$
4. $11$
Given that $27^{\left(1+x\right)}=9$ $27^{\left(1+x\right)}=9$ , find $x$ $x$ .
1. $-3$
2. $-{\frac {1}{3}}$
3. $3$
4. $2$
Given that $(2x+7)$ $(2x+7)$ is a factor of $2x^{2}+3x-14$ $2x^{2}+3x-14$ , find the other factor.
1. $x+2$
2. $2-x$
3. $x-2$
4. $x+1$
Given that $(2x+7)$ $(2x+7)$ is a factor of $2x^{2}+3x-14$ $2x^{2}+3x-14$ , find the other factor.
1. $x+2$
2. $2-x$
3. $x-2$
4. $x+1$
Simplify ${\frac {1}{x-3}}\;\;\;{\frac {3(x-1)}{x^{2}-9}}$ ${\frac {1}{x-3}}\;\;\;{\frac {3(x-1)}{x^{2}-9}}$
1. ${\frac {x-1}{x-3}}$
2. ${\frac {-2}{x+3}}$
3. ${\frac {x-1}{x+3}}$
4. ${\frac {4x}{2-9}}$
Which of the following number line represents the inequality $2\leq x<9$ ?
Form an inequality for a distance $d$ $d$ metres which is more than 18m but not more than 23m.
1. $18<d\leq 23$
2. $18\leq d<23$
3. $18\leq d\leq 23$
4. $d<18$ or $d>23$
Find the equation whose roots are -8 and 5.
1. $x^{2}+13x+40=0$
2. $x^{2}-13x-40=0$
3. $x^{2}-3x+40=0$
4. $x^{2}+3x-40=0$
Make $t$ $t$ the subject of the formula ${\sqrt {\frac {t-p}{r}}}$ ${\sqrt {\frac {t-p}{r}}}$
1. ${\frac {rk^{2}+p}{m^{2}}}$
2. ${\frac {rk^{2}+pm^{2}}{m^{2}}}$
3. ${\frac {rk^{2}-p}{m^{2}}}$
4. ${\frac {rk^{2}-p^{2}}{m^{2}}}$
Solve the equation $3y^{2}=27y$ $3y^{2}=27y$
1. $y=0$ or $3$
2. $y=0$ or $9$
3. $y=-3$ or $3$
4. $y=3$ or $9$
Find the value of $x$ $x$ such that the expression ${\frac {1}{x}}+{\frac {4}{3x}}-{\frac {5}{6x}}+1$ ${\frac {1}{x}}+{\frac {4}{3x}}-{\frac {5}{6x}}+1$ equals zero
1. ${\frac {1}{6}}$
2. ${\frac {1}{4}}$
3. ${\frac {-3}{2}}$
4. ${\frac {-7}{6}}$
Given that $p$ $p$ varies directly as $q$ $q$ while $q$ $q$ varies inversely as $r$ $r$ , which statement is true?
1. $r$ varies directly as $p$
2. $p$ varies inversely as $r$
3. $p$ varies directly as $r$
4. $q$ varies inversely as $p$
In the diagram, PQS is a circle with center O. RST is a tangent at S and $\angle SOP=96^{\circ }$ $\angle SOP=96^{\circ }$ . Find $\angle PST$ $\angle PST$ .
1. $42^{\circ }$
2. $48^{\circ }$
3. $60^{\circ }$
4. $66^{\circ }$
A bicycle wheel of radius 42 cm is rolled over a distance of 66 metres. How many revolutions does it make? ( $\pi ={\frac {22}{7}}$ $\pi ={\frac {22}{7}}$ )
1. 2.5
2. 5
3. 25
4. 50
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
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
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
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. [ $\pi ={\frac {22}{7}}$ $\pi ={\frac {22}{7}}$ ].
1. 8.74cm
2. 38.2cm
3. 61.2cm
4. 76.4cm
In the diagram, |PQ| = |PS| and |RQ| = |RS|. Which statement is true?
1. $\angle QPS=\angle QRS$
2. |PO| = |RO|
3. OR ∥ PS
4. $\angle PQR=\angle PSR$
The area of a circle is 38.5cm². Find its diameter ( $\pi ={\frac {22}{7}}$ $\pi ={\frac {22}{7}}$ ).
1. 22cm
2. 14cm
3. 7cm
4. 6cm
Find the volume (in cm³) of the solid.
1. 100 cm³
2. 150cm³
3. 175cm³
4. 250cm³
Solve the equation $3+5x-2x^{2}=0$ $3+5x-2x^{2}=0$
1. $-{\frac {1}{2}}$ , -3
2. 2, 3
3. -2, 3
4. $-{\frac {1}{2}}$ , 3
If the simple interest on ₦2,000 after 9 months is ₦60, at what rate per annum is the interest charged?
1. 2 ${\frac {1}{4}}$ %
2. 4%
3. 5%
4. 6%

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