Term revision test sheets
Teacher’s name: _________________________
Class name: _________________________
Student’s name: _________________________
Date:
_________________________
Term Revision Test 1 (Chapters 1, 2, 8)
Circle the correct answer in Questions 1–5.
1 The next term in the sequence 2, 3, 5, 8, 12, 17, … is:
a 18 b 19 c 22 d 23 e24
2Which of these statements is/are true?
i 1 089 is divisible by 6. ii 1 089 is divisible by 9.
iii 1 089 is a perfect square.
a i only b ii only c iii only d i and ii only e ii and iii only
3 The square root of 12​ _14 ​ is:
b 1​ _12 ​ c 3​ _34 ​
d 6​ _14 ​
e 6​ _18 ​
a 1 _​  13 ​
4 What is 0.000263 in standard form?
a 2.63 × 10–6 b 2.63 × 10–5c 2.63 × 10–4
d 2.63 × 104e 2.63 × 105
5 What is 0.003867 to 3 significant figures?
a 0.004 b0.00386
c 0.00387
d 386 e387
2
6 If 1 × 2 = 2 – 2
2 × 3 = 32 – 3
3 × 4 = 42 – 4
4 × 5 = 52 – 5
… = …
a Complete: n × (n + 1) = _____________.
b Use this to calculate 1 0012 – 1 001. _____________
7 Write 1 296 as a product of its prime factors.
__________________________________________________________________________
_____
Hence find ​√ 1 296 ​. 
__________________________________________________________________________
8 These numbers are in standard form. Change them to ordinary form.
a 9 × 102 ___________ b 3.6 × 105 ___________ c 6.1 × 107 __________
d 8 × 10–4 ___________ e 6 × 10–1 ___________ f 3.4 × 10–3 __________
9 A student writes 78 words in 8 lines of writing.
a Find, to the nearest whole number, the average number of words per line.
_______________________________________________________________________
b Estimate how many lines of writing it will take to write a 1 500-word essay.
_______________________________________________________________________
140 Term revision test sheets 
10 Draw graphs to show:
a The first six multiples of 3.
b The factors of 42.
Term revision test sheets  141
Teacher’s name: _________________________
Class name: _________________________
Student’s name: _________________________
Date:
_________________________
Term Revision Test 2 (Chapters 3, 6)
Circle the correct answer in Questions 1–5.
1 In Figure R8, PQRT and TQRS are parallelograms, QR = 3 cm and TQ = 4 cm. How long
is PS?
a 3 cm
b 4 cm
c 5 cm
d 6 cm
Figure R8
e 7 cm
2 Which one of these statements is false?
a All rhombuses are parallelograms.b
All trapeziums are parallelograms.
c All squares are kites.d
All squares are rectangles.
e All rectangles are trapeziums.
ˆ S = 40° and T​ O​
ˆ Q = 65°, calculate T​ O​
ˆ R.
3 In Figure R10, POQ and SOR are straight lines. If P​ O​
a 105°
b 35°
c 30°
d 25°
e15°
Figure R10
4 In Figure R11, the size of angle x is:
a 29°
b 32°
Figure R11
142 Term revision test sheets 
c 58°
d61°
e 64°
5A quadrilateral has angles of 128°, 91°, a° and 2a°. Find the value of a.
__________________________________________________________________________
6 The sum of the angles of a polygon is 1 620°. Calculate the number of sides that the polygon has.
__________________________________________________________________________
7aFind the sum of the angles of a pentagon.
_______________________________________________________________________
b Hence calculate the value of y in Figure R12.
_______________________________________________________________________
Figure R12
8 The sum of four of the angles of a heptagon (seven sides) is 600°. The other three angles are of
sizes 4x°, 5x° and 6x°. Find the value of x and hence find the sizes of the three angles.
__________________________________________________________________________
9 Sketch a quadrilateral that has only one line of symmetry.
Term revision test sheets  143
Teacher’s name: _________________________
Class name: _________________________
Student’s name: _________________________
Date:
_________________________
Term Revision Test 3 (Chapters 4, 5, 7)
Circle the correct answer in Questions 1–5.
1 If (–3) ÷ (–24) = y, then y = … .
a +72b
+8c+8 d –8 e–8
2 Look at the data in Table R1. If Grades C and above are pass marks for the test, how many
students passed?
Grade
A
B
C
D
E
Frequency
2
4
3
2
1
Table R1
a 1 b
2c3 d6e9
3 Simplify ___
​  –5a
  
​.
15a
2
a __
​  5a
  ​
3
b
a – ​ _13 ​
b
– ​ _23 ​
c –2 d
– ​ _14 ​
c
b
4 Find the value of ​ _____
   ​, when a = 5 and b = –2.
(2a + b)
5 Simplify (a + (–a)) + b.
– ​ _19 ​
– ​ _3a ​
d​ _16 ​
e
– ​ _5a ​
1
e​ __
  ​
10
a 2bb
bc2ad
2a – b e 2a + b
6 Simplify these expressions:
a (–6) × 8
_______________________________________________________________________
b (–2​ _12 ​) × (–2​ _25 ​)
_______________________________________________________________________
c ​ _78 ​ of (–5​ _13 ​)
_______________________________________________________________________
d 38 ÷ (–2)
_______________________________________________________________________
e (–3.6) ÷ (–9)
f
_______________________________________________________________________
(–3​ _23 ​) ÷ 6​ _35 ​
_______________________________________________________________________
144 Term revision test sheets 
7 Solve these expressions:
a –3x = 18
_______________________________________________________________________
7
b ​ _15 a​ = __
​  15
  ​
_______________________________________________________________________
c ​ _n2 ​= –5
_______________________________________________________________________
27
d ​ __
  d
​ = 42
2
_______________________________________________________________________
7m
4
e – ​ __
  ​ = –2​ _ ​
10
5
f
_______________________________________________________________________
_
​  5 ​ y = –1​ _1 ​
8
4
_______________________________________________________________________
8 I think of a number. 19 subtracted from the number gives –2. What number am I thinking of?
__________________________________________________________________________
9 Find the value of the following when x = –2, y = 5, z = –1:
a x2 + y2
_______________________________________________________________________
b (x + y)2
_______________________________________________________________________
_______________________________________________________________________
_______________________________________________________________________
(x + y)
c ​ ____
  
​
(y + z)
y
d _​  xy ​+ _​ z ​
10 Expand these expressions:
a (v – 4)(v – 9)
_______________________________________________________________________
b (b + 4)(3b + 2)
_______________________________________________________________________
c (5x + 2)(2x – 3)
_______________________________________________________________________
d (4m – n)(3m – 2n)
_______________________________________________________________________
Term revision test sheets  145
Teacher’s name: _________________________
Class name: _________________________
Student’s name: _________________________
Date:
_________________________
General Revision Test A (Chapters 1–8)
Circle the correct answer in Questions 1–10.
1 What is the next term in the sequence 1, 3, 7, 15, 31, … ?
a 33b
47c51
d59e63
2 Find the least number by which 112 must be multiplied to give a perfect square.
a 2b
3c5
d7e11
3 Express 526 000 in standard form.
a 5.26 × 10–5b
5.26 × 10–4c 5.26 × 103
d 5.26 × 104e 5.26 × 105
4a length of wire is given as 6.8 cm, correct to 2 significant figures. What is the least possible
length of the wire?
a 6.7 cmb
6.74 cmc6.75  cm
d 6.8 cme6.85 cm
ˆ C = 26° and A​ D​
ˆ D = … .
ˆ C = 105°. A​ C​
5 In Figure R13, ABCD is a kite. B​ A​
Figure R13
a 26°b
41°c49°d62°e64°
6 Simplify (y + z)2 – 2yz:
a y2 + z2 + 4yzb
y2 – z2c y2 + z2
d y2 + z2 – 2yze y2 + z2 – 4yz
7If m × (–2) = 12, then m = … .
a +24b
+14c+6d–6e–24
8 If ​ _56 ​of a certain number is –6​ _23 ​, the number is:
a – ​ _18 ​b
d
–5​ _13 ​c
–7​ _12 ​e–8
146 Term revision test sheets 
–5​ _59 ​
9In Figure R14, ABCDE is a pentagon such that △ABD is equilateral.
Figure R14
If x = 35°, then y = … .
a 95°b
110° c120° d130° e145°
10 What is the value of p2q – q2p, if p = 3 and q = 1?
a –12b
–6c0 d6e12
11 Express these numbers as products of their prime factors.
a 800
_______________________________________________________________________
b 126
_______________________________________________________________________
c 198
_______________________________________________________________________
12 If 1 = 12
1 + 3 = 22
1 + 3 + 5 = 32
1 + 3 + 5 + 7 = 42
…=…
What will be the value of y, if 1 + 3 + 5 + … + 99 = y2?
__________________________________________________________________________
13 Express 1.56 × 104 as a whole number correct to 2 significant figures.
__________________________________________________________________________
14 Express 0.5046 correct to:
a 3 decimal places.
_______________________________________________________________________
b 2 significant figures.
_______________________________________________________________________
Term revision test sheets  147
1
c The nearest __
​ 10
  ​.
__________________________________________________________________________
15 Simplify these expressions:
a (–6) × (+5)
_______________________________________________________________________
b (+7) × (–0.9)
_______________________________________________________________________
c (–10)2
_______________________________________________________________________
d (–5) ÷ (–40)
_______________________________________________________________________
e (–5.4) ÷ (+0.6)
f
_______________________________________________________________________
+34
​ ___
  ​
–17
_______________________________________________________________________
16 Solve these expressions:
a ​ _34 m
​ = __
​ 15
 ​
44
_______________________________________________________________________
b 1​ _23 ​x = 5​ _56 ​
_______________________________________________________________________
c ​ _5x  ​ = –​ _58 ​
_______________________________________________________________________
d –1​ _37 ​ = –3​ _13 ​ y
_______________________________________________________________________
17 Find the value of k in Figure R15.
Figure R15
__________________________________________________________________________
148 Term revision test sheets 
18 Expand these expressions:
a (x – 5)(x – 6)
_______________________________________________________________________
b (2p – 3q)(2p – 5q)
_______________________________________________________________________
c (m + 4)(m – 4)
_______________________________________________________________________
d (t – 8)2
_______________________________________________________________________
19 Figure R16 shows part of a pattern.
Figure 16
Sketch the basic shape that makes the pattern.
20 10 nails have a mass of about 63 g. Estimate the number of nails in 1 kg to the nearest 10 nails.
__________________________________________________________________________
Term revision test sheets  149
Teacher’s name: _________________________
Class name: _________________________
Student’s name: _________________________
Date:
_________________________
Term Revision Test 4 (Chapters 9, 10)
Circle the correct answer in Questions 1–5.
1 In 2010, a watch cost N2 800. In 2014, the same watch cost N5 200. Give the 2010 cost to the
2014 cost as a ratio in its simplest terms.
a 1 : 2b7 : 13 c 28 : 52
d 26 : 14
e 199 : 200
2 I travelled at 60 km/h and took 2 h for a journey. How long would it have taken me, if I had
travelled at 50 km/h?
a 1​ _15 ​ h
b
1​ _13 ​ h
a 6 ​ _27 ​
7
b12% c13​ __
  ​%
11
c
1​ _23 ​ h
d
2​ _25 ​ h
e
3 In an exam 154 out of 175 candidates passed. What percentage failed?
2​ _23 ​ h
d15% e88%
4 How much interest does N40 000 make in 5 years at 7% per annum?
a N700 b N2 000
c N2 800
d N3 500
Taxable income/month
e N1 400
Tax charged
First N200 000
10%
Next N200 000
15%
Next N200 000
20%
Above N600 000
25%
Allowances to be deducted before income is taxed:
For self
Allowance of N60 000
For each child under 16
Allowance of N35 000
Table R1
5 Daudu has two children under 16. Use Table R1 to calculate his allowances before tax.
a N25 000bN50 000cN60 000
d N85 000eN130 000
6 Daudu (in Question 5) has a monthly salary of N380 000. Use Table R1 to help calculate:
a His taxable salary.
_______________________________________________________________________
b How much tax he pays.
_______________________________________________________________________
c His income after tax is deducted.
_______________________________________________________________________
150 Term revision test sheets 
7 The hire purchase price of a motor bike is N680 000. There is a deposit of 12.5%. The
remainder is spread over 12 equal monthly instalments.
a Calculate the amount of the deposit.
_______________________________________________________________________
b Calculate the remainder to be paid.
_______________________________________________________________________
c Find the amount of each monthly instalment to the nearest naira.
_______________________________________________________________________
8 By selling a house for N69 million, an agent makes a profit of 15%. How much did the house
cost?
__________________________________________________________________________
9 In one afternoon, a street vendor sells air-time cards of value N150, N200, N200, N500, N750
and N1 500. He also sells a SIM starter pack costing N1 600. If he gets 5% commission on his
sales, how much does he earn?
__________________________________________________________________________
10 A salesman gets a commission of 8​ _12 ​% of the value of the things he sells. Find his commission for
selling two guitars at N35 400 each, five tennis rackets at N9 900 each and 14 electric kettles at
N2 550 each.
__________________________________________________________________________
Term revision test sheets  151
Teacher’s name: _________________________
Class name: _________________________
Student’s name: _________________________
Date:
_________________________
Term Revision Test 5 (Chapters 11, 13)
Circle the correct answer in Questions 1–5.
1 Express ​ _2a ​+ _​ 7b ​as a single fraction.
a _____
​  2b + 7a
   
 
​
ab
2b + 7a
9ab
9
9
b​ ___
  ​
 
c​ __
  ​d
​ ___
   ​
 
e​ _____
  
​ 
a + b
ab
a + b
a + b
2A teacher asks a class to write x + 8 in another way. Three of the answers are:
i
_
​  1 ​(x + 8)
4
ii x + 2
Which of the answers are correct?
a i only
iii​ _14 ​x + 2
b ii only
c iii only
d i and ii only
3Simplify ___
​  x – 2
  
 ​ – ___
​  x – 7
  
​. 
6
4
a ____
​  8 – 5x
   
​
 
   
 
​
b ______
​  –(12 – 5x)
c ____
​  17 – x
  
 ​
12
   
 
​
d ______
​  –(25 – x)
12
6
6
4Express this statement as an algebraic equation:
e none of these
6
e ____
​  x – 17
   
​
 
12
‘The result of taking 2 from n and multiplying the answer by 4, is the same as multiplying n by 3 and
taking away 5.’
a 4(n – 2) = 5(n – 3)
b4(n – 2) = 3n – 5
c4(n – 2) = 5 – 3n
d 4(2 – n) = –2n e 4(2 – n) = 3(n – 5)
5 Solve the equation ___
​ x +3 2 ​ + 2x = 10.
1
a x = 9​ __
  ​
36
b x = 5 c x = 4​ _23 ​
d x = 4
e x = 1​ _17 ​
–2x – 6
6aFactorise the numerator and denominator of ​ _____
  
​. Hence simplify the expression.
3x + 9
_______________________________________________________________________
b Simplify and factorise 2a(b + c) – b(c + 2a).
_______________________________________________________________________
c Solve 3x + 2 = 5 – x.
_______________________________________________________________________
7 Solve these equations:
a 9 – 4x = 11 – 7x
_______________________________________________________________________
b 6a – 3 = 25 + 5a
_______________________________________________________________________
c 9 – 5x = 3 – 2x
_______________________________________________________________________
d 13x + 15 = 7x + 17
_______________________________________________________________________
152 Term revision test sheets 
8A mother is 10 times as old as her son. In 6 years’ time, she will be four times as old as her son.
Find their present ages. (Hint: Let the son’s present age be x years.)
__________________________________________________________________________
9 Solve these equations:
a 4(x + 2) = 2(3x – 1)
_______________________________________________________________________
b 17y – 2(6y + 1) = 8
_______________________________________________________________________
7z
c ​ __
  ​– 18 = _
​ 2z ​ 
2
_______________________________________________________________________
d a + _​ 33 ​ – ____
​  3a – 7
   
​ = 10
5
_______________________________________________________________________
1
10 The height of a boy is x cm. His father is 1​ __
  ​times his height. His sister is _
​ 78 ​his height.
10
a Express the heights of the father and sister in terms of x.
_______________________________________________________________________
b If the difference in height between his father and sister is 36 cm, find the height of the boy.
_______________________________________________________________________
Term revision test sheets  153
Teacher’s name: _________________________
Class name: _________________________
Student’s name: _________________________
Date:
_________________________
Term Revision Test 6 (Chapters 12, 14)
Circle the correct answer in Questions 1–5.
1 The position of a point X is given by X(–0.9). Which of the points A, B, C, D, E in Figure R22
is in the same position as point X?
A
B C
–2
–1
D
E
0
1
Figure R22
2 Which of the points A, B, C, D, E in Figure R23 has these co-ordinates (–2; 3)?
Figure R23
3A straight line PO joins the point P(5;–3) to the origin, O. PO is extended to Q so that
PO = OQ. What are the co-ordinates of Q?
a (–5;–3)
b (–3;–5)
c (–5;3)
d (–3;5) e(3;–5)
Figure R24 is a graph giving the cost (in N) of
cloth (in metres). Use the graph to answer
Questions 4 and 5.
4 What is the cost of 3 m of cloth?
a N180 bN360 c N2 100
d N2 200
e N3 000
5 Approximately what length of cloth can I buy
for N900?
a 1.3 m b 2.5 m c 4 m
d 15.75 m
e
17.5 m
Figure R24 Cost and length of cloth
154 Term revision test sheets 
6 Choose a suitable scale and plot the points A(1;3), B(6;3), C(3;–1) and D(–2;–1).
a AC and BD cross at P. Find the co-ordinates of P.
_______________________________________________________________________
ˆ D?
b What is the size of A​ P​
_______________________________________________________________________
c What kind of quadrilateral is ABCD?
_______________________________________________________________________
7 Figure R25 is a graph showing the cost of
hiring a car. The cost is made up of a basic
charge and an additional charge for the
distance that the car is driven.
a How much does it cost to hire the car
for a journey of:
i
100 km __________________
ii 460 km? __________________
b What is the basic charge (that is, the
charge if no distance is travelled)?
________________________________
________________________________
c Find the additional charge as a rate in
naira/km.
Figure R25 Cost of car hire
_______________________________________________________________________
Term revision test sheets  155
8 Saratu walks at a speed of 6 km/h.
a Make a table of values showing how far Saratu walks in _​ 14 ​, _​  12 ​, _​  34 ​, 1, 1​ _14 ​, 1​ _12 ​, 1​ _34 ​, 2 hours.
b Using scales of 1 cm to _​ 14 ​hour and 1 cm to 1 km, draw a graph of the information.
c Use the graph to find:
i
How far Saratu walks in 69 min.
____________________________________________________________________
ii How long it takes Saratu to walk 10 km.
____________________________________________________________________
156 Term revision test sheets 
9 Figure R26 is a distance–time graph of a walker
(A) and a cyclist (B). A walks steadily from the
Post Office to the bank. B cycles from the bank
to the Post Office but stops to talk to a friend on
the way.
a How long does the journey take both A and B?
____________________________________
____________________________________
b How far is it from the bank to the Post Office?
____________________________________
____________________________________
c How long does B stop to talk to his friend?
____________________________________
____________________________________
Figure R26 Travel graph of A and B
d How far is B from the bank when he stops?
_______________________________________________________________________
e How far are A and B from the Post Office when they meet on the road?
_______________________________________________________________________
10 Given that R1 = N12, draw a graph for converting naira to rands for amounts up to R10.
Read off the equivalent amounts in the other currency of:
a N80 _____________
b N24 _____________
c R8.50 _____________
dR5_____________
Term revision test sheets  157
Teacher’s name: _________________________
Class name: _________________________
Student’s name: _________________________
Date:
_________________________
Term Revision Test 7 (Chapters 15, 16)
Circle the correct answer in Questions 1–5.
1 On a scale drawing a straight railway track measures 12.5 cm. What is the actual length of the
track, if the scale is 1 cm to 5 km?
a 6 km b12.5 km
2In △XYZ, XY = 4 cm,
​ ˆ  =
X​
100°,
c
Y​
​ ˆ =
25 km d 62.5 km
e
50°. Which sketch shows this information?
a
b
c
Figure R28
d Neither A, B nor C.
e All of A, B and C.
3 From the information in Question 2, what is the longest side of △XYZ?
a XY
b YZ
c XZ
d They are all the same length.
e Impossible to say.
4a map is drawn to a scale of 2 cm to
100 km. If the actual distance between
two towns is 374 km, what is this
distance as measured on the map?
a 1.97 cmb
3.74 cm
c 7.48  cm
d 19.7 cm
e 74.8 cm
5 Refer to the map in Figure 16.14.
Which one of these buildings is on
Banjul Crescent?
a Bankb
Church
c Dispensary dMosque
e Station
Figure 16.14
158 Term revision test sheets 
625 km
ˆ = 45° and Z​
6In △XYZ, YZ = 10 cm, ​ Y​
​ ˆ  = 35°. Use a ruler and protractor to construct △XYZ.
Measure the shortest side of the triangle.
__________________________________________________________________________
7aConstruct an isosceles triangle PQR such that PQ = PR = 7 cm and QR = 5 cm.
b Construct the bisectors of angles Q and R to cross at X.
Term revision test sheets  159
c Draw a straight line from P through X to meet OR at Y. What can you say about point Y?
_______________________________________________________________________
8A photograph measures 8 cm by 10 cm. It is enlarged so that the shorter side becomes 12 cm and
the longer side x cm. Find x.
__________________________________________________________________________
9A plan of a compound is drawn on a scale of 1 cm to 5 m.
a If a wall is 24 m long, find its length on the drawing.
_______________________________________________________________________
b If the scale drawing of a round house is a circle of diameter 0.7 cm, find the actual diameter
of the round house.
_______________________________________________________________________
10 A rectangular sheet of paper measures 60 cm by 40 cm. Use a scale of 1 cm to 10 cm and make a
scale drawing of the sheet of paper.
Hence find the length of a diagonal of the sheet of paper.
__________________________________________________________________________
160 Term revision test sheets 
Teacher’s name: _________________________
Class name: _________________________
Student’s name: _________________________
Date:
_________________________
General Revision Test B (Chapters 9–16)
Circle the correct answer in Questions 1–10.
1 If 5 people can do a piece of work in 6 days, how many days, to the nearest whole number,
should 8 people take to do it? Assume that the rate of work is the same.
a 4b
5c7d
8e9
2 What percentage of 4 is 5?
a 125% b 120% c 80% d25% e20%
3A trader gains N4 000 on a sale which was equivalent to 8% profit. What was the cost price?
a N54 000bN50 000cN32 000dN500 e N320
4 Which of these are factors of 4x2y?
i
2x ii xy iii4y
a i only
b ii only
c iii only
d None of them e All of them
5 The LCM of 5ab and 3a b is:
2
2
3a
5b
a ab b​ __
 ​ c​ __ ​
3a
5b
d15a2b2 e15a3b3
6 In Figure R29, what are the co-ordinates of the point
where the diagonals of kite PQRS cross?
a (–1​ _12 ​;– ​ _12 ​)
b (–1​ _12 ​;_​  12 ​)
c (– ​ _12 ​;–1​ _12 ​)
d (​ _12 ​;–1​ _12 ​)
e (1​ _12 ​;– ​ _12 ​)
2x
7 If 5 – ​ __
  ​= 1,
3
a x = 1b
x = 4cx = 6
d x = 7ex = 9
Figure R29
8 Figure R30 is a distance–time graph for a car.
QR
What does the value of ___
​ PQ  ​ represent?
a The time taken by the car.
b The distance the car travels.
c The average speed of the car.
d The time the car was not moving.
e The distance between P and R.
Figure R30
Term revision test sheets  161
9 Which of these triangles can you construct using only ruler and compasses?
a Any triangle, given two sides and their included angle.
b Any triangle, given two angles and their common side.
c Any triangle, given all three sides.
d None of the above.
e All of the above.
10 A map is drawn to a scale of 1 : 40 000. What distance, in km, will a line on the map 2.8 cm
long represent?
a 11.2 kmb
7 km c1.12 kmd
0.7 km
e 0.112 km
11 In one month, a man spent N650 on newspapers and N240 on soap. In the following month, he
reduced his newspaper spending by 40% and increased his spending on soap in the ratio 5 : 3.
How much did he save?
__________________________________________________________________________
12 A 500 g bag of sugar costs N195. A 25 kg sack of sugar costs N8 750. Calculate the saving
per kg by buying the 25 kg sack.
__________________________________________________________________________
13 Use Table 10.1 to answer this question.
Tax bands on taxable income (N)
Rate of tax
First N200 000
10%
Over N200 000 and up to N400 00
15%
Over N400 000 and up to N600 000
20%
Over N600 000
25%
Table 10.1 Tax bands for PAYE system
If a woman's income is N260 000 per month, calculate her taxable income and the amount of
tax she pays.
__________________________________________________________________________
14 a Complete the brackets: 5x2 – 10x = 5x(_____________)
b Factorise 18ax + 12ay.
_______________________________________________________________________
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c Simplify ___
​  5 5– t ​ – ___
​  4 4– t ​. 
_______________________________________________________________________
3(2x – 3) _
d Simplify ​ ______
   
​ – ​  13 ​.
5
_______________________________________________________________________
15 aChoose a suitable scale and plot these points: A(11;–15), B(–4;0), C(–7;–3), D(–10;0),
E(–4;6), F(5;6), G(–2;2), and H(13;–13).
b Join the points in alphabetical order and join H to A.
c What picture have you drawn?
_______________________________________________________________________
16 a Solve 3(x –6) = 4(1 – 2x).
_______________________________________________________________________
b Solve ___
​  c –4 5 ​ – ___
​  6 8– c ​ = 1
_______________________________________________________________________
c Six times a number added to seven times 4 less than the number comes to 11. Find the
number.
_______________________________________________________________________
Term revision test sheets  163
17 A man leaves home and cycles to his office 12 km away. His journey is shown on the graph in
Figure R31.
Figure R31 Travel graph of cyclist
a What time did he arrive at his office?
_______________________________________________________________________
b How long did the journey take altogether?
_______________________________________________________________________
c Find his average speed for the whole journey.
_______________________________________________________________________
d During the journey he stopped to replace the chain. How long did this take?
_______________________________________________________________________
e How far was he from home when the chain came off?
_______________________________________________________________________
18 aConstruct △PQR such that Q​
​ ˆ  = 90°, PQ = 10 cm and QR = 6 cm.
b Measure the length of the hypotenuse of △PQR.
_______________________________________________________________________
19 Figure R32 is a scale drawing of the plan of a round house.
Figure R32
a If the actual diameter of the house is 6 m, use measurement to find the scale of the drawing.
_______________________________________________________________________
164 Term revision test sheets 
b Hence find the actual width of the door.
_______________________________________________________________________
20 Figure R33 is a sketch of a simple bridge. M is the mid-point of the bridge.
Figure R33
a Use a scale of 1 cm to 1 m to draw an accurate scale drawing of the bridge.
b Hence find the length of the support AM.
_______________________________________________________________________
Term revision test sheets  165
Teacher’s name: _________________________
Class name: _________________________
Student’s name: _________________________
Date:
_________________________
Term Revision Test 8 (Chapters 17, 19)
Circle the correct answer in Questions 1–5.
1 Which of these are Pythagorean triples?
i
(3, 4, 5)
ii (5, 12, 13)
iii (8, 13, 17)
a i onlyb
i and ii onlycii only
d ii and iii onlyeiii only
2 PQRS is a rectangle with sides 3 cm and 4 cm. If its diagonals cross at O, calculate the length of
PO.
a 2.5 cm
b 3.0 cm
c 3.5 cm
d 4.0 cm
e 5.0 cm
3 The diagonals of a rhombus measure 8 cm by 6 cm. What is the length of a side of the rhombus?
a 5 cm b6 cm c7 cm d8 cm e10 cm
4The volume of a cone of height h and base radius r is given by:
a​ _13 ​πrh
b​ _13 ​πr2h cπrhd
πr2he2πrh
5A cone is 8 cm high and has a base diameter of 12 cm. Its slant height is:
a 6 cm b8 cm c10 cm d 12 cm e 20 cm
6 In Figure R35, △PQR is right-angled at Q and QR = 5 cm.
Figure R35
a If the area of △PQR is 30 cm2, find the length of PQ.
_______________________________________________________________________
b Hence find the length of PR.
_______________________________________________________________________
166 Term revision test sheets 
7 Figure R36 shows the net of an open cylinder.
10
cm
7 cm
Figure R35
If the net is folded to make the cylinder:
a What is the radius of the cylinder?
_______________________________________________________________________
b What is the height of the cylinder?
_______________________________________________________________________
Use the value __
​ 22
  ​for π to find:
7
c The surface area of the open cylinder.
_______________________________________________________________________
d The volume of the cylinder.
_______________________________________________________________________
8A mound of rice is roughly in the shape of a cone of height 12 cm and base diameter 40 cm.
Use the value 3 for π to find the approximate volume of rice.
__________________________________________________________________________
9A cylinder of diameter 40 cm contains 62 ℓ of water. Use the value 3.1 for π to find how deep
the water is in the cylinder.
__________________________________________________________________________
10 Estimate the capacity in litres of a cylindrical drum that is 45 cm in diameter and 66 cm high.
__________________________________________________________________________
Term revision test sheets  167
Teacher’s name: _________________________
Class name: _________________________
Student’s name: _________________________
Date:
_________________________
Term Revision Test 9 (Chapters 18, 21, 22)
Circle the correct answer in Questions 1–5.
1 In the last 20 years, it has rained on 6 January twice. Estimate the probability that it will rain on
6 January next year.
a0
1
b​ __
  ​
10
3
c​ __
  ​
10
d​ _13 ​
e​ _19 ​
1
b​ __
  ​
13
3
c​ __
  ​
26
1
d​ __
  ​
26
e​ _14 ​
m > 600
d m < 1 200 e m > 1 200
2A card is picked at random from a pack of 52 playing cards. The probability that it is a 6 is:
1
a​ __
  ​
52
3A boy has more than N900. He spends N300 and has Nm left. Which one of these inequalities
gives m?
a m > 500
b
m < 600
c
Figure R38 is an old railway timetable for train services between Makurdi, Kafanchan and Jos.
Use Figure R38 to answer Questions 4, 5 and 6.
MAKURDI – KAFANCHAN – JOS
401 UP
402 DN
Makurdi
D
6.40 a.m.
A
6.15 p.m.
Kafanchan
A
5.05 p.m.
D
9.20 a.m.
D
5.35 p.m.
A
8.50 a.m.
A
9.50 p.m.
D
5.00 a.m.
Jos
Figure R38
4 What time does the 402 DN train depart from Kafanchan?
a 5.05 p.m.b
5.35 p.m.c6.40 a.m.
d 8.50 a.m.e9.20 a.m.
5 How long does the journey from Makurdi to Jos take?
a 1 h 15 minb
3 h 10 minc8 h 50 min
d 15 h 10 min
e 20 h 50 min
6 Find these times:
a The time taken between Kafanchan and Jos on the UP journey.
_______________________________________________________________________
b The time taken between Jos and Kafanchan on the DOWN journey.
_______________________________________________________________________
c The difference between these two times.
_______________________________________________________________________
168 Term revision test sheets 
7A book contains pages numbered from 1 to 48. A student picks a page at random. What is the
probability that the page number contains a 3?
__________________________________________________________________________
8A letter is chosen at random from the word trapezium. Find the probability that it is:
a A vowel.
_______________________________________________________________________
b One of the letters of the word permit.
_______________________________________________________________________
c One of the letters of the word hollow.
_______________________________________________________________________
9 Find the range of values of x for which:
a x + 9 > 14
_______________________________________________________________________
b 6 – x > 7
_______________________________________________________________________
c 7 ≥ 28 – 3x
_______________________________________________________________________
d​ _3 ​ x – 1 ≤ 1​ _1 ​ – _​  1 ​x
4
2
2
_______________________________________________________________________
10 Three times a whole number, n, is subtracted from 38. The result is less than 20.
a Make an inequality in n.
_______________________________________________________________________
b Find the four lowest values of n.
_______________________________________________________________________
Term revision test sheets  169
Teacher’s name: _________________________
Class name: _________________________
Student’s name: _________________________
Date:
_________________________
Term Revision Test 10 (Chapters 20, 24)
Circle the correct answer in Questions 1–5.
1 Figure R43 shows a right square-based pyramid resting so that its base is horizontal.
Figure R43
Which of the points A, B, C, D, E is vertically below V?
ABCDE
2 If the angle of elevation of P from Q is 38°, then the angle of depression of Q from P is:
a19°b
38°c52°d
128° e142°
3A vertical fence post has a shadow 1 m long when the angle of elevation of the sun is 45°. The
height of the fence post is:
a 0.5 m b 0.7 m c 1 md
1.4 m e 2 m
4 Which of the points A, B, C, D, E in Figure R44 is on a bearing 230° from O?
Figure R44
5 The bearing of P from Q is 063°. The bearing of Q from P is:
a027° b063° c117° d153° e243°
6 From a point P the bearing of a radio mast is 060°. From a point Q 100 m due east of P, the
bearing is 330°.
170 Term revision test sheets 
Draw a labelled sketch to show the positions of P, Q and the mast.
7 The angle of elevation of the top of a tower from a point 23 m from its base on level ground is
50°. Make a scale drawing to find the height of the tower to the nearest metre.
__________________________________________________________________________
Term revision test sheets  171
8 Two posts are 1 800 m apart on a road running east and west. A tree is north of one post and on
a bearing 304° from the other.
Make a scale drawing and find the distance of the tree from each post.
__________________________________________________________________________
9A woman walks 2 km N, 3 km NE and finally 2 km E.
Make a scale drawing of her journey. Find how far ... she is from her starting point.
a North
_______________________________________________________________________
b East
_______________________________________________________________________
172 Term revision test sheets 
10 From the top of a tree, the angle of depression of a stone on horizontal ground is 55°.
If the stone is 8 m from the foot of the tree, make a scale drawing to find the height of the tree.
__________________________________________________________________________
Term revision test sheets  173
Teacher’s name: _________________________
Class name: _________________________
Student’s name: _________________________
Date:
_________________________
General Revision Test C (Chapters 17–24)
Circle the correct answer in Questions 1–10.
1 In Figure R45, which one of these equations gives the value of a2?
Figure R45
a a2 = b2 – c2 b a2 = (b – c)2
c a2 = b2 + c2 d a2 = c2 – b2
e a2 = (c – b)2
2 What is the length of the longest rod that can lie flat in a rectangular box that is 2 m long and
1​ _12 ​ m wide?
a 7 mb
5​ _12 ​  m c5 md
3​ _12 ​  m e2​ _12 ​  m
3 Table R6 shows the numbers of students getting Grades A, B, C, D, E in an essay.
Grade
A
B
C
D
E
Number
5
11
24
10
6
Table R6
Which grade did the least number of students get?
A B CDE
4 Which one of these curved surfaces is Figure R46 the net of?
a Open cylinderb
Spherec Open cone
d Half cylinder
Figure R46
174 Term revision test sheets 
e Open hemisphere
5A cylinder is of height 5 cm and base radius 2 cm. Use the value 3.14 for π to calculate the area
of its curved surface to the nearest cm2.
a 13 cm2
b 25 cm2
c 31 cm2
d 63 cm2
e 126 cm2
6 The height of a tree is equal to the length of its shadow. The angle of elevation of the sun is:
a0°b
30°c45°d
60°e90°
7A teacher picks a student at random from a class containing 17 boys and 13 girls. What is the
probability that the student is a girl?
17
13
13
1
1
__
__
__
__
a​ __
  ​b​ 
  ​c​ 
 ​d​ 
 ​e​ 
 ​
13
30
30
17
30
8 The range of values of a for which 11 – 2a ≥ 1 is:
a a ≥ 5 ba ≥ –5 c a = 5 da ≤ 5 ea ≤ –5
9 Figure R47 is the graph of which one of these inequalities?
x
5
Figure R47
a x > 5 bx ≥ 5 cx < 5 dx ≤ 5 ex < –5
10 The bearing of X from Y is 196°. The bearing of Y from X is:
a016° b074° c106° d164° e196°
11 In Figure R48:
C
14 cm
A
50 cm
B
Figure R48
a Find the length of AC.
_______________________________________________________________________
b Hence find the area of △ABC.
_______________________________________________________________________
Term revision test sheets  175
12 Table R7 shows the number of students in each form of a JSS for the years 2010 to 2014.
Year
2010
2011
2012
2013
2014
Form 1
90
90
118
121
119
Form 2
87
88
90
118
120
Form 3
60
87
88
89
120
Table R7
a How many students were in the school in 2013?
_______________________________________________________________________
b A girl entered Form 1 in 2010. She is one of the 90 circled in the table. If she is promoted at
the end of each year:
iIn what year is she in Form 3?
____________________________________________________________________
ii How many students were in Form 3 in that year?
____________________________________________________________________
c At the beginning of which year in the table did the school increase its Form 1 intake?
_______________________________________________________________________
d In which previous year (not in the table) did the school probably increase its Form 1 intake?
_______________________________________________________________________
13 A cone and a cylinder have equal volumes and radii. The height of the cone is 12 cm. Find the
height of the cylinder.
__________________________________________________________________________
176 Term revision test sheets 
14 a Draw the graph of y = 5x – 2 for values of x from –3 to +3.
b At what point does the graph cut the x-axis?
_______________________________________________________________________
c What are the co-ordinates of the point where the graph meets the line y = 8?
_______________________________________________________________________
Term revision test sheets  177
15 Figure R49 shows sketch notes that a student made of a survey of a tree.
Figure R49
Make a scale drawing and hence find the height of the tree to the nearest _​ 12 ​ m.
__________________________________________________________________________
16 Find the probability of selecting a shape that is a parallelogram from one square, one rectangle,
one rhombus, one kite and one trapezium.
__________________________________________________________________________
17 Find the range of values of x for which:
a 4x + 4 > 7
_______________________________________________________________________
b 28 – 5x < 2x + 9
_______________________________________________________________________
c​ _3 ​x – _​ 7 ​ ≤ _​  5 ​ – _​  1 ​x
2
6
2
3
_______________________________________________________________________
178 Term revision test sheets 
18 Use number lines to draw graphs of the solutions of these expressions:
a x + _​ 52 ​> 0
b 9 ≥ 1 – 2x
19 Freetown is approximately 1 820 km on a bearing 275° from Lagos. Use a scale of 1 cm to
200 km to make a scale drawing of the positions of Freetown and Lagos.
Hence find:
a How far Freetown is north of Lagos.
_______________________________________________________________________
b How far Lagos is east of Freetown.
_______________________________________________________________________
20 A student has a hand-span of about 21 cm. The diameter of a bicycle wheel is approximately
three hand-spans. Estimate, to the nearest 100, the number of times the wheel turns in travelling
1 km.
__________________________________________________________________________
Term revision test sheets  179