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For
Teacher's
Use
55 minutes
Mathematics Paper 2
For Teacher's Use
Page
Stage 7
Mark
1
2
3
Name ………………………………………………….……………………….
4
Additional materials: Ruler
Calculator
Protractor
5
READ THESE INSTRUCTIONS FIRST
7
Answer all questions in the spaces provided on the question paper.
8
You should show all your working on the question paper.
9
6
The number of marks is given in brackets [ ] at the end of each question
or part question.
The total number of marks for this paper is 45.
10
11
12
13
14
15
Total
V1
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2
1
For
Teacher's
Use
Draw lines to join all the numbers to their values when rounded to the nearest 100
One has been done for you.
357
473
300
326
400
500
439
504
[2]
2
The numbers in the circles add together to make the number in the square.
4
11
7
Work out the number that goes in the circle.
5.8
12.4
6.6
[1]
3
Write these measurements in order smallest to largest.
240
204.3
2043 mm
57.5 cm
57.5 cm
0.6 m
2.4 m
180 cm
smallest
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180 cm
2043 mm
0.6 m
2.4 m
largest
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[1]
3
4
For
Teacher's
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Work out 35% of $200
70
$
5
[1]
The table shows information about some quadrilaterals.
Complete the table.
Name of
quadrilateral
Number of lines of
symmetry
Order of rotational
symmetry
Square
4
4
2
2
Rectangle
2
Rhombus
2
1
1
Kite
[2]
6
Look at the numbers in the circle.
21
16
17
15
20
Use numbers from the circle to complete these statements.
(a)
21
is a multiple of 7 and
(b)
17
is a prime number and
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is a factor of 30
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is a square number.
[1]
[1]
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7
For
Teacher's
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Keri carries out a survey.
She records the ages of 20 people.
23 36 18 37 21 45 29 30 53 42
19 61 43 52 20 47 37 74 17 64
Complete the frequency table.
Ages (years)
Frequency
1–20
4
21–40
7
41–60
6
61–80
3
[2]
8
What is the value of 4 in this number?
152.64
0.04
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[1]
5
9
(a) Complete the table for y = 2x + 1
x
0
y
1
For
Teacher's
Use
1
3
2
4
5
7
9
[1]
(b) Plot the points on the graph.
Draw and label the line y = 2x + 1
y
10
9
8
7
6
5
4
3
2
1
0
1
2
3
4
5
6
7
8
9
10
x
[2]
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For
Teacher's
Use
10 Here is a dotty grid.
Join dots to make a hexagon that is symmetrical but not regular.
[1]
11 Tick () the shapes that are pentagons.
[1]
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For
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12 A, B, C and D are the vertices of a square.
Vertices A, B and C are plotted on this grid.
y
5
4
3
C
2
B
1
-5 -4 -3 -2 -1 0
-1
-2
1 2
A
3
4
5
x
-3
-4
-5
(a) Plot vertex D on the grid.
[1]
(
(b) Write down the coordinates of vertex D.
-2
,
1
)
[1]
13 Here is part of a number line.
+40
A
+40
20
60
What number is at position A on the number line?
-20
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[1]
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For
Teacher's
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14 The face of a fair spinner is a regular hexagon.
5
4
3
2
7
9
The probability of getting an odd number is twice that of getting an even number.
Write a whole number in each section to make this correct.
[1]
15 Tick () the expressions that have the same value when a = 2 and b = 3
4
6
5
b+1
4a–3
5
ab
a+b
[1]
16 Here are six digit cards.
1
2
3
4
5
6
Use each digit card once to complete these statements.
is a square number.
is a prime number.
is a multiple of 18
[2]
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For
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17 (a) Here are the first four numbers in a sequence.
6
12
24
48
Write down the term to term rule for this sequence.
multiply 2
[1]
(b) In a different sequence the first number is 3
The term to term rule is add 2
Write down the 10th term.
21
12
[1]
18 In a shop 12 lemons cost $3.36
Each lemon costs the same amount.
Work out the cost of 17 lemons.
$
4.76
[2]
19 Write a number in the box to make the calculation correct.
2
2
235 ÷ 25 = 9
5
[1]
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20 This is the net of a cuboid.
For
Teacher's
Use
7cm
6cm
NOT TO
SCALE
4cm
6cm
6cm
4cm
(a) Work out the surface area of the cuboid.
Show your working.
188
cm2 [2]
(b) Work out the volume of the cuboid.
168
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cm3 [1]
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For
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21 Twenty skaters take part in a competition.
Their scores are shown in the table.
Score
4
5
6
7
8
Frequency
4
2
5
6
3
(a) What is the mode of the scores?
7
[1]
(b) Work out the mean score.
6.1
6
[2]
22 Tick () the diagrams that have 40% shaded.
[1]
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23 Here is a right angled triangle.
a
b
Here are some angles.
40°
55°
30°
35°
65°
70°
Tick () the two angles that can be used for a and b.
[1]
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24 These lines have lengths a and b.
For
Teacher's
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a
b
This shape has a perimeter of 2a + 2b.
b
b
a
a
(a) Write down the perimeter of this shape.
4a+b
[1]
(b) Draw a closed shape with perimeter 4a + 4b.
[1]
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25 (a) Write
5
8
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as a decimal.
0.625
[1]
(b) Arrange these fractions in order of size smallest to largest.
0.625
3/5
13/20
5
8
0.75
3
4
0.65
13
20
0.7
7
10
13/20
5/8
3/5
7/10
0.6
3
5
3/4
[1]
smallest
largest
26 (a) Divide 20 in the ratio 3:2
12
and
8
[1]
(b) Look at the diagram.
Shade some of the squares so that the ratio of shaded squares to unshaded
squares is 3:5
[1]
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27 A regular pentagon has sides 4cm long.
Each interior angle is 108°.
Use a ruler and protractor to draw this pentagon.
[2]
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