Chithambara:
Mathematics
Challenge2015
Year 8
CWN:கண�தப்ேபாட
Time: 45 Minutes
Instructions
 Use pencil.
 Fill in the boxes at the bottom of this page with
your name, centre number and candidate
number.
 Answer the questions in the spaces provided –
there may be more space than you need.
 Calculators must not be used.
 Answer All question
STUDENT NAME: …………………………………………………….
INDEX NUMBER: ……………………………………………………..
EXAM CENTRE: ……………………………………………………….
Q1
Q2
Q3
Q4
Q5
Q6
Q7
Q8
Q9
Q10
Q11
Q12
Q13
Q14
Q15
Q16
Q17
Q18
Q19
Q20
Q21
Q22
Q23
Q24
Q25
Total
/50
Chithambara:Maths Challenge 2015 Year 8
Q1)
Below is a sequence of number.
16 10 4 -2 ……………………………..
Calculate.
a) 8th term of this sequence
b) 100th term of this sequence
(2marks)
Q2)
Calculate the value of A and B in the following
3
5
3
Q3)
Expand and simplify the following.
a) 5(4x +8) =
7
+
÷
𝐴
30
𝐵
11
=
=
2
3
11
7
(2marks)
b) a(a – 3b) - 4b (2a - 7) =
c) (3x + 5)(4x - 8) =
Q4)
(3marks)
a) The angle in a triangle are in the ratio 10 : 3: 7. Calculate the size of the smallest angle?
b) The ratio of Thileepan’s age to Karan’s age is 5:6. Ratio of Karan’s age to Vithusan age is 3:5.
All three of them age add together is 63 years.
Calculate all their ages.
(2marks)
/9
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Page 1
Chithambara:Maths Challenge 2015 Year 8
Q5)
The total weight of 5 rugby players is 405kg and means weight of 11 football players is 65 kg. Calculate
the mean weight of 16 players.
(2marks)
Q6)
Solve the following equations for x
a) 3(2x - 6) = 3x
b) (x +2 ) (x - 5) = x (x - 7)
(2marks)
Q7)
The ages of a mother and her graduate son add up to 66.The mother’s age is the son’s age reversed.
How old are they?
(1mark)
Q8)
The diagram below shows a triangular based prism.The trainagle forming the base is a right angled
triangle.The volume of the prisim is 108 cm3. Calculate the value of x.
Answer………………………(2marks)
Q9)
After CWN test there are 240 test papers to be marked . It would take Priyanth 40 minutes to mark all the
papers whilst it would take Mathan 60 minutes to mark them all.
a) Calculate how many test papers Priyanth marks per minute.
b) Calculate how many minutes it would take them to mark the papers if they did so together.
(2marks)
/9
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Page 2
Chithambara:Maths Challenge 2015 Year 8
Q10)
The shape below form by straight line and two quarter circle.
Find the area of the shape ? ( 𝜋 = 3.14)
(2marks)
Q11)
The diagram shows 2 overlapping squares with regions A, B and C as shown.
Calculate the difference between area A and C?
(2marks)
Q12)Amanda, Jo, Alex and Zarah each have different coloured cars.
One car is red, one blue, one white and the other is black
Use the logic table and the clues below to find out which person has which car.
Clue 1 : Amanda's car is not red or white.
Clue 2 : Jo's car is not blue or white.
Clue 3 : Alex's car is not black or blue.
Clue 4 : Zarah's car is red.
Red
Blue
White
Black
Amanda
Jo
Alex
Zarah
(4marks)
/8
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Page 3
Chithambara:Maths Challenge 2015 Year 8
Q13)
Anbu travels by car to Italy. On the first day he travels 350 miles. On the second day he travel 250 miles
4
and on the third day he travels 280 miles . If he now has of his journey left to do, what is the total
15
length of his journey?
(2marks)
Q14)
An area enclosed by a circle with radius r is 𝜋𝑟 2 where 𝜋 =
Find the area of shaded region in 𝑐𝑐2 ?
22
7
.
cm2
(2marks)
Q15)
The population of village at the end of 2012 was 1450. At the end of the next year it was found to have
risen by 10%.
At the end of the next year it rose by a further 8%. What was the population at the end of 2014?
(2marks)
/6
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Page 4
Chithambara:Maths Challenge 2015 Year 8
Q16)
As shown in diagram, there are 13 balls in a bag. Three of them are green and ten of them are red.
Roshan randomly pick two balls from the bag one-by-one. He put the first ball in the bag before the
second ball.
a. What is the probability of getting green ball in first time?
b. What is the probability of getting green ball in second time?
c. What the probability of getting green balls in both times?
(3marks)
Q17)
What is the sum of the six marked angles?
(2marks)
Q18)
Work out x,
If 4x = 163
(1mark)
/6
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Page 5
Chithambara:Maths Challenge 2015 Year 8
Q19)
The square has length of 10cm. Find the radius of the largest circle which will fit in the middle.
cm
(2marks)
Q20)
The sloping line divides the area of the square in the ratio 1:5
:
What is the ratio a:b ?
(1mark)
Q21)
The line joining the points (2m,n) and (3,-4).
a) Find the value of n if the line is parallel to the x axis.
b) Find the value of m if the line is parallel to the y axis.
(2marks)
Q22)
Express 0.25̇ as a fraction in its simplest form.
(1mark)
Q23)
Simplify
(a)
x0 =
(b)
Simplify
 − 32 
y 




4
=
(2marks)
/8
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Page 6
Chithambara:Maths Challenge 2015 Year 8
Q24)
A planet takes 88 days to travel round the Sun.
The approximate path of the planet round the Sun is a circle with diameter 1.2 × 107 kilometres.
Find the speed of the planet as it travels round the Sun.
(2marks)
Q25)
The power, P watts, produced by a windmill varies directly as the cube of the wind velocity, V metres
per second. At 4 pm on a given day, the wind velocity was 4 metres per second and the
windmill was producing 75 watts of electrical power.
By 10 pm the wind velocity had doubled.
How many watts of electrical power were now being produced?
(2marks)
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Answer Sheet 2015: Year 8
1.
2.
3.
4.
5.
6.
7.
8.
9.
10.
11.
12.
a)-26 b)-578
A=2 , B=3
a)20x +40 b)a2-11ab+28b
a)270
b) T-15 , K-18 , V-30
70kg
a) x=6 , x=2.5
24 and 42
X =6
a)6 b)24min
100cm2
90-15 =75cm2
c)12x2 -4x -40
Red Blue White Black
√
Amanda
√
Jo
√
Alex
Zarah
13.
14.
15.
16.
17.
18.
√
1200miles
38.5cm2
1722.6 or 1723
a)3/13 b)3/13 c) 9/169
14400
X=6
5
19. (5√2-5)/2 or 2 (√2 -1) =1.025=1.1 cm2
20. 2:1
21. n=-4, m=1.5 or 3/2
22.
23
90
23. a)1 , b) y6
24. 4.96km/s or 17849.95km/h
25. 600watts