Year 8 End of Year Exam Revision Guide

1
Year 8 End of Year ExamRevision Guide

• Level 3-5 to 6-8
• Calculator

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Question 1
L3-5

• Three circles in a straight line ADD UP TO 100
• Write in the missing numbers

20
40
30
40
3
Question 2
L3-5

1. Fred buys two A cards and 2 B cards, altogether
   how much did they cost?
2. Adam pays for one B, one D and one E card. He
   pays with a 10.00 note, how much change will he
   get?
3. Karen pays for two cards that cost exactly 3.50.
   Write the two possible combination of cards Karen
   buys.

Cost of Card Cost
A 1.00
B 1.50
C 2.00
D 2.50
E 3.00
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Question 3
L3-5





Copy the diagram and draw the ONE LINE OF SYMMETRY
Here is the same diagram after a QUARTER-TURN
CLOCKWISE. Draw the diagram showing it after
ANOTHER QUARTER-TURN CLOCKWISE





5
Question 4
L3-5

• The diagram shows the result of a game of bowls.
  The O indicates the centre of scoring ring.
• About how close is the closest X?
• How many bowls landed between 10m and 20m?
• About how much further is the closest bowl to the
  one furthest away?

25m
20m
15m
X
10m
X
X
X
X
X
O
X
X
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Question 5A
L3-5

• Use the digits above to complete these
  calculations.

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Question 5B
L3-5

• Now tries these. You can use the same card twice.

8
Question 6
L3-5

1. Which measurement below is most likely to be the
   MANs height?
2. Which measurement below is most likely to be the
   HEIGHT of the BUS?

• 0.6 metres 1.8 metres 2.9 metres
  4 metres
• 1.5 metres 4.5 metres 11 metres
  20 metres

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Question 7
L3-5

• a) Sarah has one 20p coin, one 1 coin and some
  10p coins. Altogether she has 1.50.
• How many 10p coins does she have?
• b) If she spends 1.15 what combination of coins
  could she use, and how much change would she get?

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Question 8
L3-5
Number of 20p coins Number of 10p coins Number of 5p coins.
FIRST WAY 3 1 4
SECOND WAY 3
THIRD WAY 3
FOURTH WAY 3
Show the different ways to make 90p using 3 20p
coins and 10p and 5p coins. The first has been
done for you.
11
Question 9
L3-5

• A sample of students were asked how they rated
  their maths teacher.
• What rated them as Excellent?
• What rated them as Fine AND Very Good?

OK
Fine
Very Good
Good
Excellent
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Question 10
L3-5

• Fill in the boxes to complete each number chain.
  Use any of the following

350
35
35
350
25
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Question 11
L3-5 4-6

• Jane has a piece of card that is blue on one side
  and white on the other. She cuts out shape A from
  the card. She turns over the shape, select the
  letters that show the white side of Janes shape.

A
B
C
D
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Question 12
L3-5 4-6

• Fill in the missing number

8
5
__
__
2
15
Question 13
L3-5 4-6






The area of shape A is 5cm2 what is the area of
shape B? How many squares will be in a shape
which has an area 20cm2
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Question 14
L3-5 4-6

• Fill in the missing digits in each calculation

2
8
5
6
x 2
5
2
x 2
4
x 2
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Question 15
L3-5 4-6

• I arrived at 800am. By the time I left the
  MINUTE hand of the clock had TURNED 360
• What time did I leave?
• I left the house at 600pm, by the time I arrived
  back the HOUR hand at TURNED 90
• What time did I arrive back?

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Question 16
L3-5 4-6

• A number chain starts
• 1 3 11
• A) Here is a different number chain, what is the
  rule?
• 2 4 8 16

To find the next number you use the following
rule
x 4 then - 1
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Question 17
L3-5 4-6 5-7

• Join the pairs that add to 1

0.25
0.1
0.01
0.14
0.6
0.99
0.86
0.75
0.9
0.4
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Question 18
L3-5 4-6 5-7

• Join the pairs that multiply to equal 2

1
4
0.5
8
0.1
40
0.25
2
0.05
20
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Question 19
L3-5 4-6 5-7
Colour Pairs
Black 5
White 2
Brown 4
Red 2
Blue 5
Pink 2

• Sarah has 20 pairs of shoes.
• Sarah takes a pair at random
• What is the probability that the pair of shoes is
  red?
• What is the probability that the pair of shoes is
  not red?

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Question 20
L3-5 4-6 5-7
A

• Amy has some water in jug A. She pours into Jug
  B, what is the correct water level?

4
2
B
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Question 21
L3-5 4-6 5-7

• Lisa has some boxes that are all cubes of the
  same size.
• She uses 4 boxes to make a pile of height 56cm.
  She puts one more box on the pile, what is the
  height of the new pile?

Where do you think Lisa works?
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Question 22
L3-5 4-6 5-7

• Work out 5 of 200
• Work out 15 of 200
• Can you use part(a) to help you?

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Question 23
L3-5 4-6 5-7

• Write the numbers to make them correct.

B
A
C
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Question 24
L3-5 4-6 5-7
A
Work out the angles x, y z
x
y
60
z
C
B
27
Question 25
L3-5 4-6 5-7

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28
Question 26
4-6 5-7 6-8
Subtract 0
Add 0
 
 
Add 4
Add -4
Subtract 4
Subtract -4
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Question 27
4-6 5-7 6-8

• Pupils are investigating what is a typical
  students (aged 11-16) favourite program. Here is
  their plan

PLAN
Choose one year group, and ask one mentor group.
Give two reasons why this sample of students may
not be representative of all students
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Question 28
4-6 5-7 6-8

• The total area of the rectangle is 30cm2 work out
  the lengths of x and y.

y
x
7.1cm
3cm
31
Question 29
4-6 5-7 6-8

• The counters are the same in each bag. Work out
  the value of y

 
B

• b. Bag A contains more counters than Bag B. What
  is the smallest value for k?

 
 
D
C
32
Question 30
4-6 5-7 6-8

• You win a million pounds ?
• You spend 40,000 on a holiday (you take a few
  friends)
• Then you spend half of the money left on a house.
• How much do you spend on a house?

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Question 31
4-6 5-7 6-8
Which scatter graph shows a positive correlation?
Which scatter graph shows a stronger correlation?
EXPLAIN YOUR ANSWER
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Question 32
4-6 5-7 6-8







The table shows information about the shapes
Rules connect N, B, H and A. Write one missing
letter to complete the rule
Shape Number N Base B Height H Area A
1 3 2 3
2 3 3 4.5
3 3 4 6
4 3 5 7.5
H ______ 1 A ______ x 1.5 ___ H x B 2
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Question 33
4-6 5-7 6-8

• Look at this information

 
 

• Use this information to write the missing
  DECIMALS below

 
 
36
Question 34
4-6 5-7 6-8

•  

 
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Question 35
4-6 5-7 6-8

• On this bracelet the ratio of black beads to
  white is 14

1. How many MORE black beads do you need to add to
   make the ratio of black to white 41?
2. How many MORE black and white beads do you need
   to add to make the ratio of black to white 42?

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Question 36
5-7 6-8

•  

Question 37
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Question 38
5-7 6-8

• The number of goals scored is added to the
  previous match in a netball tournament. The graph
  shows the 6 matches played and the total goals
  scored after each match.
• How many goals were scored by match 3
• Another teams goals are plotted and it is a
  straight line. What can you say about this team?

Goals Scored
Netball Matches Played
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Question 39
5-7 6-8

• The vertices of the rhombus are at the midpoints
  of the sides of a rectangle.

4cm
8cm

• What is the area of the shaded rhombus?

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Question 40
5-7 6-8

1. Philip thinks of two numbers. His two numbers
   have a NEGATIVE SUM, but a POSITIVE PRODUCT. Give
   an example of what his two numbers could be.
2. Tom thinks of two different numbers. His two
   numbers have a POSITIVE SUM, but a NEGATIVE
   PRODUCT. What could his numbers be?

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Question 41
5-7 6-8

1. The mean of 4 numbers is 10. I added one more
   number and the mean is now 11. What number did I
   add?
2. The mean of 6 numbers is 20, I added one more
   number and the mean is now 21. What number did I
   add?

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Question 42
5-7 6-8

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Question 43
5-7 6-8

•  

3a
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Question 44
5-7 6-8

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Question 45
6-8

1. I have two fair four sided dice, the numbers on
   the dice are 2, 3, 4 and 5. I am going to roll
   the dice and multiply the scores. What results
   might you get?
2. What is the probability that the product is a
   multiple of 2?

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Question 46
6-8

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48
Question 47
6-8

•  

 
 
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Question 48
6-8

• In the diagram triangle BDC is mathematically
  similar to triangle ACE. What is the length of BD?

3cm
4.5cm
9cm
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Question 49
6-8

• A cyclist went 2km up a hill at 20km per hour.
  She then went 2km down the hill at 30km per hour.
  
• Show that her average speed for the 2km was 24km
  per hour.

51
Q Answer
1 40, 30, 30, 40
2 a) 5.00 b) 3.00 c) 1.50 2.00 1.00 2.50
3 a) Line of symmetry vertically down the middle b) Right way up T
4 a) About 3-4m b) 4 c) about 23m
5 Any combination which gives correct answer
6 a) 1.8 b) 4.5m
7 a) 3 b) 1.00, 10p 10p or 1.00, 20p
8 2,2 3,0 0, 6
9 a) 50 b) 25
10 a) x10 then 10 b) 10 then -10
11 B C
12 3 7 then -3 5
Q Answer
13 a) 10 b) 16
14 a) 26 b) 24 48
15 a) 900am b) 900pm
16 a) X 2
17 0.01-099 0.6-0.4 0.86-0.14 0.9-0.1
18 0.5-4 0.1-20 0.1-20 0.25-8 0.05-40
19 a) 2/20 1/10 b) 18/20 9/10
20 1000ml
21 80cm
22 a) 10 b) 30
23 a) 5, 5, 25 b) 1, 9, 5 c) 4, 4, 10
24 X90, y30, z30
25 A7 b2
52
Q Answer
26 a) Subtract -4 b) Add -4
27 Only looks at one specific age group and only one mentor group is represented
28 X30 y2.9
29 a) y3 b) 10
30 480,000
31 B A
32 HN1, ANx1.5 AHxB2
33 a) 0.68 b) 0.54
34 a) Ii b) iii
35 a) 15 b) Add 7 black beads
36 a) 64 16 48 b) 100
37 22 4
38 a) 45 b) Scored the same in every game
Q Answer
39 16
40 a) -4, -5 b) 4. -8 (for example)
41 a) 15 b) 27
42 X3 and y4
43 a) P24a b) a2 c) 48cm2
44
45 a) 4, 6,6,8,8,10,10, 9,12,12,15,15,16,20,20 b) 12/15 4/5
46 a) x9 b)
47 A(0,-5) B(1,-5)
48 6cm
49 X90, y30, z30
25 A7 b2