Transcript Question 1 - Worle Community School

Worle Mathematics Department
Year 8 End of Year Exam
Revision Guide
Level 3-5 to 6-8
Calculator
L3-5
Question 1
• Three circles in a straight line ADD UP TO 100
• Write in the missing numbers
20
40
30
40
Worle Mathematics Department
L3-5
Question 2
Cost of
Card
A
B
C
D
E
Cost
£1.00
£1.50
£2.00
£2.50
£3.00
Worle Mathematics Department
a) Fred buys two A cards and 2
B cards, altogether how
much did they cost?
b) Adam pays for one B, one D
and one E card. He pays
with a £10.00 note, how
much change will he get?
c) Karen pays for two cards
that cost exactly £3.50.
Write the two possible
combination of cards Karen
buys.
L3-5
Question 3
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 QUARTERTURN CLOCKWISE
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L3-5
Question 4
25m
20m
15m
10m
X
X
X
X
X O
X
X
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X
The diagram shows the
result of a game of
bowls. The O indicates
the centre of scoring
ring.
a) About how close is the
closest X?
b) How many bowls
landed between 10m
and 20m?
c) About how much
further is the closest
bowl to the one
furthest away?
L3-5
Question 5A
Use the digits
above to
complete
these
calculations.
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L3-5
Question 5B
• Now tries
these. You
can use the
same card
twice.
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L3-5
Question 6
a) Which measurement
below is most likely to
be the MAN’s height?
b) 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
Worle Mathematics Department
L3-5
Question 7
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?
Worle Mathematics Department
L3-5
Question 8
FIRST WAY
SECOND WAY
THIRD WAY
FOURTH WAY
Number of 20p
coins
Number of 10p
coins
Number of 5p
coins.
3
3
3
3
1
4
Show the different ways to make 90p using 3
20p coins and 10p and 5p coins. The first has
been done for you.
Worle Mathematics Department
L3-5
OK
Fine
Question 9
Good
Very
Good
Excellent
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A sample of students
were asked how they
rated their maths
teacher.
a) What % rated
them as Excellent?
b) What % rated
them as Fine AND
Very Good?
L3-5
Question 10
• Fill in the boxes to complete each number
chain. Use any of the following:
35
350
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350
35
25
L3-5 & 4-6
Question 11
A
B
C
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D
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
Jane’s shape.
L3-5 & 4-6
Question 12
Fill in the missing
number
5
-2
-5
+8
+5
__
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2
__
L3-5 & 4-6
Question 13
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
Worle Mathematics Department
L3-5 & 4-6
Question 14
• Fill in the missing digits in each calculation
2 8 x 2 = 5 6
x 2 = 5 2
x 2 = 4
Worle Mathematics Department
L3-5 & 4-6
Question 15
• I arrived at 8:00am. By the
time I left the MINUTE hand
of the clock had TURNED
360°
What time did I leave?
• I left the house at 6:00pm,
by the time I arrived back
the HOUR hand at TURNED
90°
What time did I arrive back?
Worle Mathematics Department
L3-5 & 4-6
Question 16
A number chain starts
1
3
11
To find the next number
you use the following
rule:
x 4 then - 1
A) Here is a different number
chain, what is the rule?
2
4
8
16
Worle Mathematics Department
L3-5 & 4-6 & 5-7
Question 17
• 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
Worle Mathematics Department
L3-5 & 4-6 & 5-7
Question 18
• Join the pairs that multiply to equal 2
1
4
0.5
8
0.1
40
0.25
2
0.05
20
Worle Mathematics Department
L3-5 & 4-6 & 5-7
Colour
Pairs
Black
5
White 2
Brown 4
Red
2
Blue
5
Pink
2
Question 19
• Sarah has 20 pairs of shoes.
• Sarah takes a pair at random
A) What is the probability that
the pair of shoes is red?
B) What is the probability that
the pair of shoes is not red?
Worle Mathematics Department
L3-5 & 4-6 & 5-7
A
4
2
Question 20
Amy has some
water in jug A.
B
She pours into
Jug B, what is
the correct
water level?
Worle Mathematics Department
L3-5 & 4-6 & 5-7
Question 21
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?
Worle Mathematics Department
L3-5 & 4-6 & 5-7
Question 22
a)Work out 5% of 200
b)Work out 15% of 200
– Can you use part(a) to
help you?
Worle Mathematics Department
L3-5 & 4-6 & 5-7
Question 23
• Write the numbers to
make them correct.
B
A
10
15 10
4
8
14
C
6
20
Worle Mathematics Department
L3-5 & 4-6 & 5-7
Question 24
A
Work out the angles
x, y & z
x
z
B
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60°
y
C
L3-5 & 4-6 & 5-7
Question 25
Worle Mathematics Department
4-6 & 5-7 & 6-8
Question 26
Subtract 0
Add 0
Add 4
Subtract 4
Add -4
Subtract -4
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4-6 & 5-7 & 6-8
Question 27
• Pupils are investigating what is a typical
student’s (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 student’s may
not be representative of all students
Worle Mathematics Department
4-6 & 5-7 & 6-8
Question 28
y
x
7.1cm
3cm
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• The total area of
the rectangle is
30cm2 work out
the lengths of x
and y.
4-6 & 5-7 & 6-8
Question 29
a. 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?
C
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D
4-6 & 5-7 & 6-8
Question 30
• 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?
Worle Mathematics Department
4-6 & 5-7 & 6-8
Question 31
Which scatter graph shows a positive correlation?
Which scatter graph shows a stronger correlation?
EXPLAIN YOUR ANSWER
Worle Mathematics Department
4-6 & 5-7 & 6-8
Question 32
The table shows information about the
shapes
Shape
Number
N
Base B
1
3
2
3
2
3
3
4.5
3
3
4
6
4
Height H Area A
3
5
7.5
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Rules connect N, B, H and A. Write one
missing letter to complete the rule
H = ______ + 1
A = ______ x 1.5
___ = H x B ÷ 2
4-6 & 5-7 & 6-8
Question 33
• Look at this information:
Use this information to write the
missing DECIMALS below
Worle Mathematics Department
4-6 & 5-7 & 6-8
Question 34
Worle Mathematics Department
4-6 & 5-7 & 6-8
Question 35
• On this bracelet the ratio of black beads to
white is 1:4
a) How many MORE black beads do you need to
add to make the ratio of black to white 4:1?
b) How many MORE black and white beads do
you need to add to make the ratio of black to
white 4:2?
Worle Mathematics Department
5-7 & 6-8
Question 36
Question 37
Worle Mathematics Department
5-7 & 6-8
Question 38
Goals Scored
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.
a) How many goals were
scored by match 3
b) Another teams goals
are plotted and it is a
straight line. What can
you say about this
team?
Netball Matches Played
Worle Mathematics Department
5-7 & 6-8
Question 39
4cm
• The vertices of the
rhombus are at the
midpoints of the
sides of a rectangle.
8cm
• What is the area of the shaded
rhombus?
Worle Mathematics Department
5-7 & 6-8
Question 40
A) 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.
B) Tom thinks of two different numbers. His two
numbers have a POSITIVE SUM, but a
NEGATIVE PRODUCT. What could his
numbers be?
Worle Mathematics Department
5-7 & 6-8
Question 41
a. The mean of 4 numbers is 10. I added one
more number and the mean is now 11. What
number did I add?
b. The mean of 6 numbers is 20, I added one
more number and the mean is now 21. What
number did I add?
Worle Mathematics Department
5-7 & 6-8
Question 42
Worle Mathematics Department
5-7 & 6-8
Question 43
3a
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5-7 & 6-8
Question 44
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6-8
Question 45
a. 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?
b. What is the probability that the product is a
multiple of 2?
Worle Mathematics Department
6-8
Question 46
Worle Mathematics Department
6-8
Question 47
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6-8
Question 48
3cm
4.5cm
9cm
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• In the diagram
triangle BDC is
mathematically
similar to triangle
ACE. What is the
length of BD?
6-8
Question 49
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.
Worle Mathematics Department
Q
Answer
Q
Answer
1
40, 30, 30, 40
13
a) 10 b) 16
2
a) £5.00 b) £3.00 c) £1.50 + £2.00
& £1.00 + £2.50
14
a) 26 b) 24 & 48
3
a) Line of symmetry vertically
down the middle b) Right way up T
15
a) 9:00am b) 9:00pm
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
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
20
1000ml
8
2,2 3,0 0, 6
21
80cm
9
a) 50% b) 25%
22
a) 10 b) 30
10
a) x10 then ÷10 b) ÷10 then -10
23
a) 5, 5, 25 b) 1, 9, 5 c) 4, 4, 10
11
B&C
24
X=90, y=30, z=30
25
A=7 b=2
12
+3 +7 then -3 & 5
Worle Mathematics Department
Q
Answer
Q
Answer
26
a) Subtract -4 b) Add -4
39
16
27
Only looks at one specific age
group and only one mentor group
is represented
40
a) -4, -5 b) 4. -8 (for example)
41
a) 15 b) 27
28
X=30 y=2.9
42
X=3 and y=4
29
a) y=3 b) 10
43
a) P=24a b) a=2 c) 48cm2
30
£480,000
44
31
B&A
32
H=N+1, A=Nx1.5 A=HxB÷2
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
2+2 = 4
38
a) 45 b) Scored the same in every
Worlegame
Mathematics Department
45
a) 4, 6,6,8,8,10,10,
9,12,12,15,15,16,20,20 b) 12/15 =
4/5
46
a) x=9 b)
47
A=(0,-5) B=(1,-5)
48
6cm
49
X=90, y=30, z=30
25
A=7 b=2