Transcript Question 1

Worle Mathematics Department
Year 8 End of Year Exam
Revision Guide
Levels 3-5 to 6-8
Calculator
L 3-5
Question 1
The table shows which sweets were sold in a shop in one week.
MON
TUE
WED
THU
FRI
Lollipops
14
12
16
18
20
Sherbet Dips
5
8
3
7
4
Gob stoppers
7
5
3
5
2
Giant Cola Bottles 17
23
12
16
14
Refreshers
4
7
3
5
1
a) How many Lollipops were sold on
Wednesday?
b) On what day did the shop sell 3
Refreshers?
c) The bar char shows the information
for one of the items, which one?
Worle Mathematics Department
L 3-5
Question 2
Write the missing numbers in the boxes.
a)
b)
X
64
÷
Worle Mathematics Department
8
=
=
192
16
L 3-5
Question 3
a) You want to buy four video games. Each
video game costs £1.80. How much change
will you get from £10.00
Question 4
Draw your own grid of 9 pins.
How many right-angled
triangles can you draw?
Worle Mathematics Department
L 3-5
Question 5
2
TRUE or FALSE
2
4
1
2
1
4
4
a) I am equally likely to
spin a 4 as to spin a 2
b) I am more likely to
spin an even number
than an odd number.
c) It is certain that I will spin a number less
than 4
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L 3-5
Question 6
b) What fraction of the shape above is shaded?
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L 3-5
Question 7
a) Write the names of the following shapes:
3 sided
4 sided
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5 sided
6 sided 8 sided
L 3-5
Question 8
3
2
1
2
1
3
1
3
2
Now complete this
grid so that the
numbers 1,2 and 3
are in EACH ROW
and EACH COLUMN
Worle Mathematics Department
In this grid the
numbers 1,2 and 3
are in EACH ROW
and EACH COLUMN
1
3
1
L 3-5
Question 9
Time in words
Time on a digital clock
Half past ten
10:30
Quarter past nine
Quarter to four
11:10
Complete the table to show the different
times in words and on a digital clock
Worle Mathematics Department
L 3-5 & L4-6
Question 10
Mirror
Line
REFLECT the shapes in the mirror lines
Worle Mathematics Department
L 3-5 & L4-6
Question 11
TICKETS
FAMILY - £15.00
ADULT - £5.50
CHILD - £ 3.50
How much money is saved
buying a family ticket if there
are two adults and two
children?
Worle Mathematics Department
L 3-5 & L4-6
Question 12
TOTAL MARK
40 or less
From 41 to 55
From 56 to 80
From 81 to 104
105 or more
GRADE
E
D
C
B
A
a) Charlie got 23, 19 and 29 in the three papers.
What grade did he get?
b) Sam got 43 and 36 in two papers and a grade
A. What was the minimum Sam got in his final
paper?
Worle Mathematics Department
L 3-5 & L4-6
Question 13
a) Write the missing numbers in the sentences
below.
8923 rounded to the nearest hundred is?
8923 rounded to the nearest thousand?
b) What number could you write in the sentence
below
___________ rounded to the nearest ten is 730
Worle Mathematics Department
L 3-5 & L4-6
Question 14
Here is some information:
You finish school on the 3rd July
You go on holiday on the 31st July
You return to school on the 3rd September
a) How many weeks between finishing school and
going on holiday?
b) How many months between finishing and
returning to school?
Worle Mathematics Department
L 3-5 & L4-6
Question 15
35
39
a) I count on in equal steps, what is my first
number?
-4
?
12
a) I count on in equal steps, what is my third
number?
Worle Mathematics Department
L 3-5 & L4-6
Question 16
Pets
0
1
2
3
4
5
8
6
4
GIRLS
2
0
2
4
6
BOYS
a) How many pupils have 3 pets?
b) How many more girls were asked than boys?
Worle Mathematics Department
L 3-5 & L4-6
Question 17
Worle Mathematics Department
L 3-5 & L4-6
Question 18
‘All factors of 50 are even numbers’
Is this true, explain your answer?
Worle Mathematics Department
L 3-5 & L4-6
Question 19
Average rainfall mm
250
200
150
100
50
0
J
F
M
A
M
J
J
A
S
a) What is the average rainfall for February?
b) Which months saw 150mm rainfall?
Worle Mathematics Department
O
N
D
L 3-5 & L4-6 & L5-7
Question 20
Distance
Perimeter
Capacity
Mass
Kilometres
Centimetres
Litres
Grams
Pounds
Millilitres
Indicate which unit is used for each measured.
Worle Mathematics Department
L 3-5 & L4-6 & L5-7
Question 21
Shop 2
Shop 1
4 cakes are £3.00 6 cakes are £4.32
I want to buy 10 cakes,
which shop is the
cheapest?
Worle Mathematics Department
L 3-5 & L4-6 & L5-7
Question 22
20mph
40mph
Speed
Stopping
Distance
20 mph
15 metres
40mph
75 metres
60 mph
150
metres
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Department
Stopping distance
a) Use the same scale to draw the
bar for the stopping distance at
40mph
b) Is there space for 60mph?
L 3-5 & L4-6 & L5-7
Question 23
A
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Rotate the
shape 90°
clockwise
around the
point A
L 3-5 & L4-6 & L5-7
Question 24
Worle Mathematics Department
L 3-5 & L4-6 & L5-7
Question 25
a) How much
will be
charged for
a parcel
15kg
b) How much
will 30kg
parcel cost?
Worle Mathematics Department
L4-6 & L5-7 & L6-8
Question 26
P, Q & R are the
midpoints of
the triangle.
Work out the
coordinates of
P, Q & R.
(20, 60)
Q
0
R
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P
(48, 0)
L4-6 & L5-7 & L6-8
Question 27
Place
Season
Mean Rainfall
Number of months
A
Dry
5cm per month
9
Wet
40cm per month
3
Dry
12cm per month
7
Wet
16cm per month
5
B
a) Which of the places has MORE RAINFUL on average
over the whole year?
Worle Mathematics Department
L4-6 & L5-7 & L6-8
Question 28
Worle Mathematics Department
L4-6 & L5-7 & L6-8
Question 29
These two
shapes are
made up of 5
identical
squares.
This shape has
a perimeter of
84cm
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What is the
perimeter of
this shape?
L4-6 & L5-7 & L6-8
Question 30
• In one year, 3 million students
download 1-D’s latest album.
• 68% of the students were girls.
• How many girls downloaded 1-D’s
album?
Worle Mathematics Department
L4-6 & L5-7 & L6-8
Question 31
• What are the angles in an equilateral triangle?
• The shape below is made up of 5 equilateral
triangles. Work out angles a, b & c.
a
b
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c
L4-6 & L5-7 & L6-8
Question 32
Work out the simplified probability of pulling
out each type of sweets in a pick and mix bag.
Sweet
Number
Lollipops
5
Cola Bottles
10
Sherbet Dips
2
Flying Saucers
8
Chocolate Mice
10
Haribos
5
False Teeth
15
Worle Mathematics Department
L4-6 & L5-7 & L6-8
Question 33
Worle Mathematics Department
L5-7 & L6-8
Question 34
a) Work out the volume of a can of
radius 3cm and height 5.5cm
b) Work out the height of a smaller
can whose volume is 25cm2 and
radius 2cm?
Worle Mathematics Department
L5-7 & L6-8
Question 35
Diameter=10.1mm
Diameter=12.2mm
Diameter=14.4mm
a) Work out the circumference of the circles above.
b) What is the radius of a circle whose
circumference is 40mm?
Worle Mathematics Department
L5-7 & L6-8
Question 36
Worle Mathematics Department
L5-7 & L6-8
Question 37
The table shows the number of iPhones owned
in the different years at Secondary school.
Year Group
iPhones
Number of Students
7
80
295
8
150
302
9
210
280
10
264
310
11
231
296
a) Which year has on average of about, 1 phone to
every 2 students?
b) Work out which year has the highest proportion of
phones to students?
Worle Mathematics Department
L5-7 & L6-8
Question 38
The cuboid container
holds 12 litres of water
when HALF full.
One litre = 1000m
Given the length of
20m and width of 10m,
what is the height of
the container?
Worle Mathematics Department
10m
20m
L5-7 & L6-8
Question 39
4, 12, 20, 28, 36
Write down the correct nth term.
Worle Mathematics Department
L5-7 & L6-8
Question 40
There are 5 units in an exam course.
Each unit is marked out of 100.
To get a grade A, the MEAN mark of all five units
must be least 75.
Fred has taken four units, his mean mark is 65.
How many marks does Fred need in the final exam
to achieve an A.
Worle Mathematics Department
L5-7 & L6-8
Question 41
8
6
4
2
0
2
4
6
8
Worle Mathematics Department
L5-7 & L6-8
Question 42
a) Houses cost £150,00 in 2013, they
now cost £180,000. Is this an increase
of 25%?
b) What is a 25% increase on £150,000?
c) What is the percentage increase of
houses from £150,000 to £180,000?
Worle Mathematics Department
L6-8
Question 43
Worle Mathematics Department
L6-8
Question 44
Worle Mathematics Department
L6-8
Question 45
a) What is 96% of 430,493?
b) Round this to the nearest 100.
c) Now round to the nearest 1000
Worle Mathematics Department
L6-8
Question 46
19cm
h
30°
What is the value of h?
Worle Mathematics Department
L6-8
Question 47
The ratio of red to blue sweets is 84:100.
For every 100 red sweets how many blue sweets
are there?
Worle Mathematics Department
L6-8
Question 48
30
35
40
The box plot shows information about the number
of tomatoes from a sample of tomato plants.
a) What is the median number of tomatoes?
b) What is the inter-quartile range of the number
of tomatoes?
Worle Mathematics Department
45
L6-8
Question 49
k cm
5cm
4cm
20cm
Use Pythagoras’ theorem to find the value of k.
Worle Mathematics Department
L6-8
Question 50
The student magazine is made up of 5 A4 pieces
of paper, which measure 210mm x 297mm
The mass of the paper is 70g per m2
Calculate the mass of the booklet.
Worle Mathematics Department
L6-8
Question 51
Radius
Volume
Surface Area
r
Above is some information about a solid cylinder.
The cylinder is cut in half, complete the table below.
Simplify were possible.
Radius
Volume
r
Worle Mathematics Department
Surface Area
Q
Answer
Q
Answer
1
a) 16 b) Thursday c) Gob Stopper
14
a) 4 weeks b) 2 months
2
a) 24 b) 4
15
a) 23 b) 4
3
£2.80
16
a) 4 b) 2
4
16
17
a) 301 b) 294
5
a) TRUE b) TRUE c) FALSE
18
25
6
a) Shade 3 blocks b) 3/8
19
a) 175mm b) March and July
7
a) Triangle b) Quadrilateral c)
pentagon d) hexagon e) Octagon
20
8
1,2,3 3,1,2 2, 3, 1
Distance – Km Perimeter – Km,
cm, mm Capacity – litres Mass –
Grams Pounds
21
Shop 2
9
9:15
22
a) 10 blocks shaded b) No
10
Shapes reflected
24
a) 162 b) 4.5 c) 1089
11
£3.00
25
a) £7 b) £9.50
12
a) C b) 26
26
R – (29,0)
(29,30)
13
3:45
Ten past eleven
a) 8900 & 9000 b) 725 - 734
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Q – (20,30) P –
Q
Answer
Q
Answer
27
A
39
8n
28
a) 175 miles b) 70miles per hour
40
83
41
X=y/2 and y - 2x = 0
42
a) No b)£187,500 c) 20%
43
4x104 x1.5 x 103 1.5x103x4x104
44
H is greater than g by 6, s is greater
than t by 2.
29
a) 70cm
30
2,040,000
31
a) 60 b) a – 60 b-300 c-120
32
1/11
1/11
33
140
45
a) 413273.98 b) 413300 c)
413000
34
a) 155.529 b) 1.98cm
46
H=9.5cm
35
a) 31.7 b) 38.3 c) 45.24 d)
12.73cm
47
119
36
a) 2 b) 4
48
a) 36 b) 3.5
37
a) Year 8 b) year 11
49
14cm
38
6m
50
21.8295g
2/11
3/11
2/55 8/55
Worle Mathematics Department
2/11
51