1.
This regular 12-sided shape has a number at each vertex.
3
2
4
1
5
0
6
11
7
8
10
9
Ben turns the pointer from zero, clockwise through 150°
Which number will the pointer now be at?
1 mark
Nisha turns the pointer clockwise from number 2 to number 11
Through how many degrees does the pointer turn?
°
1 mark
Blackfield Primary School
1
2.
Here is a regular octagon with two vertices joined to make the line AB.
Join two other vertices to draw one line that is parallel to the line AB.
A
B
1 mark
Here is the octagon again.
Join two vertices to draw one line that is perpendicular to the line AB.
A
B
1 mark
Blackfield Primary School
2
3.
Here is a shaded square on x and y axes.
y
60
– 20
80
0
x
– 40
For each of these points, put a tick ( ) to show if it is inside the square or outside the
square.
inside
the square
outside
the square
(50, 70)
(60, –30)
(–10, 50)
(–30, –30)
2 marks
Blackfield Primary School
3
4.
Jamie draws a triangle.
He says,
‘Two of the three angles in my triangle are obtuse’.
Explain why Jamie cannot be correct.
1 mark
Blackfield Primary School
4
5.
Here is a shaded shape on a grid.
Jamie rotates the shape 90° clockwise about the centre of the grid.
Draw the shaded shape in its new position.
2 marks
6.
Here is a sketch of a triangle.
It is not drawn to scale.
7 cm
72°
10 cm
Blackfield Primary School
5
Draw the full-size triangle accurately below.
Use a protractor (angle measurer) and a ruler.
One line has been drawn for you.
10 cm
2 marks
Blackfield Primary School
6
7.
Here is a triangle on a square grid.
The triangle is translated so that point A moves to point B.
Draw the triangle in its new position.
Use a ruler.
A
B
1 mark
Blackfield Primary School
7
8.
Four large circles and five small circles fit exactly inside this rectangle.
?
1 7 .5
cm
Not actual size
The diameter of a large circle is 17.5 centimetres.
Calculate the diameter of a small circle.
Show
y o u r m e th o d .
Yo u m a y g e t
a m a rk .
cm
2 marks
Blackfield Primary School
8
9.
Look at this star.
Use a ruler to measure accurately the width of the star, from P to Q.
Give your answer in millimetres.
mm
1 mark
Blackfield Primary School
9
Use a protractor (angle measurer) to measure angle b.
°
1 mark
10.
Here are four statements.
For each statement put a tick (
) if it is possible.
Put a cross ( ) if it is impossible.
A triangle can have 2 acute angles.
A triangle can have 2 obtuse angles.
A triangle can have 2 parallel sides.
A triangle can have 2 perpendicular sides.
2 marks
22
11.
Here is an isosceles triangle.
Blackfield Primary School
10
Calculate the size of angle x.
Do not use a protractor (angle measurer).
x=
°
1 mark
12.
Here is a kite.
y
B
A
(5 , 6 )
C (1 0 , 4 )
(3 , 4 )
D
x
0
Write the coordinates of point D.
(
,
)
1 mark
Blackfield Primary School
11
13.
x
Measure angle x accurately.
Use a protractor (angle measurer).
1 mark
14.
An isosceles triangle has a perimeter of 12cm.
One of its sides is 5cm.
What could the length of each of the other two sides be?
Two different answers are possible.
Give both answers.
cm
and
cm
cm
and
cm
2 marks
Blackfield Primary School
12
15.
Here is a pentagon drawn on a coordinate grid.
The pentagon is symmetrical.
y
B
A
( 7 ,1 0 )
C
(4 ,9 )
E
(2 ,0 )
(1 2 ,0 )
D
0
x
What are the coordinates of point C?
(
,
)
1 mark
16.
PQ is a straight line.
Not drawn
accurately
Blackfield Primary School
13
Calculate the size of angle x.
Do not use a protractor (angle measurer).
°
1 mark
17.
The shaded shape is a parallelogram.
y
A
(2 0 , 2 7 )
(1 5 , 1 7 )
(3 5 , 1 7 )
0
x
Write in the coordinates of point A.
(
)
,
1 mark
Blackfield Primary School
14
18.
Look at this diagram.
N o t t o s c a le
x
y
35º
Calculate the size of angle x and angle y.
Do not use a protractor (angle measurer).
x=
1 mark
y=
1 mark
19.
A cube has shaded triangles on three of its faces.
Blackfield Primary School
15
Here is the net of the cube.
Draw in the two missing shaded triangles.
1 mark
20.
Triangle ABC is isosceles and has a perimeter of 20 centimetres.
Sides AB and AC are each twice as long as BC.
A
C
N o t a c tu a l s iz e
B
Blackfield Primary School
16
Calculate the length of the side BC.
Do not use a ruler.
Show
y o u r w o r k in g .
Yo u m a y g e t
a m a rk .
cm
2 marks
21.
This is a centimetre grid.
Draw 3 more lines to make a parallelogram with an area of 10cm2
Use a ruler.
1 mark
Blackfield Primary School
17
22.
Here is an equilateral triangle inside a rectangle.
N o t to s c a le
x
12°
Calculate the value of angle x.
Do not use a protractor (angle measurer).
Show
y o u r m e th o d .
Yo u m a y g e t
a m a rk .
º
2 marks
Blackfield Primary School
18
23.
Liam has two rectangular tiles like this.
11 c m
5cm
He makes this L shape.
What is the perimeter of Liam’s L shape?
cm
1 mark
Blackfield Primary School
19
24.
The shaded triangle is a reflection of the white triangle in the mirror line.
m ir r o r lin e
y
(5 ,9 )
(1 ,3 )
A
(5 ,3 )
(11 ,3 )
B
x
0
Write the co-ordinates of point A and point B.
A is
(
,
)
B is
(
,
)
2 marks
Blackfield Primary School
20
25.
Here is a shape on a square grid.
A
D
C
For each sentence, put a tick (
B
) if it is true.
Put a cross ( ) if it is not true.
Angle C is an obtuse angle.
Angle D is an acute angle.
Line AD is parallel to line BC.
Line AB is perpendicular to line AD.
2 marks
Blackfield Primary School
21
26.
Here is a graph
y
C
(1 0 ,6 )
B
A
(0 ,2 )
D
0
x
The points A, B and C are equally spaced.
What are the co-ordinates of the point B?
(
)
,
1 mark
Point D is directly below point C.
What are the co-ordinates of the point D?
(
)
,
1 mark
Blackfield Primary School
22
27.
Here is a sketch of a triangle.
It is not drawn to scale.
7cm
48º
10cm
Draw the full size triangle accurately, below.
Use an angle measurer (protractor) and a ruler.
One line has been done for you.
10cm
2 marks
Blackfield Primary School
23
28.
Here is a dial.
3
2
4
5
1
0
6
7
11
10
8
9
The pointer on this dial turns in a clockwise direction.
The pointer is at 0.
Which number does it point to after a turn of 270°?
1 mark
The pointer moves from 10 to 11.
How many degrees does it turn through?
1 mark
Blackfield Primary School
24
29.
Here is a shaded shape on a grid made of squares.
Draw the line of symmetry of the shaded shape.
You may use a mirror or tracing paper.
x
1 mark
What fraction of the area of the grid is shaded?
1 mark
Blackfield Primary School
25
Measure angle x in degrees.
Use an angle measurer (protractor).
1 mark
30.
The shaded shape is an isosceles triangle.
Write in the missing co-ordinate.
y
(6 ,
)
(3 2 ,1 8 )
(6 ,8 )
0
x
1 mark
Blackfield Primary School
26
31.
This is a design for an arrowhead.
40º
40º
Below is part of a larger scale drawing of the arrowhead.
The drawing has the same size angles as the design.
Draw two more lines to complete the arrowhead accurately.
Use an angle measurer (protractor).
2 marks
Blackfield Primary School
27
32.
On the grid below, use a ruler to draw a pentagon that has three right angles.
1 mark
Blackfield Primary School
28
33.
This plan of a garden is made of rectangles and triangles.
The area of each rectangle is 12 square metres.
What is the area of the whole garden?
m2
1 mark
Blackfield Primary School
29
The perimeter of the garden is 34 metres.
What is the length of the longest side of each triangle?
3m
?
4m
Show
y o u r w o rk in g .
Yo u m a y g e t
a m a rk
m
2 marks
Blackfield Primary School
30
34.
Josh has some tiles.
Not actual size
Each tile is 10cm long.
Two tiles fitted together are 18cm long.
Blackfield Primary School
31
Calculate the length of five tiles fitted together.
Show
y o u r w o rk in g .
You m ay get
a m a rk .
cm
2 marks
35.
Here is a rectangle with a width of 15.7 centimetres.
Blackfield Primary School
32
The perimeter of this rectangle is 85 centimetres.
Calculate the length of the rectangle.
Show
y o u r m e th o d .
You m ay get
a m a rk .
cm
2 marks
Blackfield Primary School
33
36.
Here is a rectangle with six identical shaded squares inside it.
7 .2 c m
N o t a c tu a l s iz e
le n g t h
The width of the rectangle is 7.2 centimetres.
Calculate the length of the rectangle.
Show
y o u r m e th o d .
Yo u m a y g e t
a m a rk .
cm
2 marks
Blackfield Primary School
34
37.
Here is a rectangle with 13 identical shaded squares inside it.
What fraction of the rectangle is shaded?
1 mark
38.
This fence has three posts, equally spaced.
N o t to s c a le
gap
15cm
gap
15cm
15cm
153cm
Each post is 15 centimetres wide.
The length of the fence is 153 centimetres.
Blackfield Primary School
35
Calculate the length of one gap between two posts.
Show
y o u r m e th o d .
Yo u m a y g e t
a m a rk .
cm
2 marks
39.
Rebecca has rectangular tiles like this.
Not to scale
She makes a larger rectangle using 4 of the tiles.
What is the area of the larger rectangle?
cm2
1 mark
Blackfield Primary School
36
40.
A
B
C
60cm
N o t d r a w n to s c a le
The distance from A to B is three times as far as from B to C.
The distance from A to C is 60 centimetres.
Calculate the distance from A to B.
Show
y o u r m e th o d .
Yo u m a y g et
a m a rk .
cm
2 marks
Blackfield Primary School
37
41.
What is the area of this shape?
4 cm
N o t to s c a le
10cm
7cm
10 cm
Show
y o u r m e th o d .
Yo u m a y g et
a m a rk .
cm
2
2 marks
Blackfield Primary School
38
42.
Carol went on a 40-kilometre cycle ride.
This is a graph of how far she had gone at different times.
40
d is t a n c e
30
t r a v e l le d
in k m
20
10
0
0
20
40
60
80
100
120
140
t im e in m in u t e s
How many minutes did Carol take to travel the last 10 kilometres of the ride?
minutes
1 mark
Use the graph to estimate the distance travelled in the first 20 minutes of the ride.
km
1 mark
Blackfield Primary School
39
Carol says,
'I travelled further in the first hour then in the
second hour'.
Explain how the graph shows this.
. ............................................................................................................................
.............................................................................................................................
.............................................................................................................................
1 mark
43.
Here is a map of part of France.
C a la i s
320 km
P a r is
The map shows that the distance from Calais to Paris is 320 kilometres.
5 miles is approximately 8 kilometres.
Use these facts to calculate the approximate distance in miles from Calais to Paris.
Show
y o u r m e th o d .
Yo u m a y g e t
a m a rk .
m ile s
2 marks
Blackfield Primary School
40
Samira bought this present in France.
4 4 .8 5 F F
She paid 44.85 French Francs for it.
9.75 French Francs equal £1
What was the cost of the present in pounds and pence?
Show
y o u r m e th o d .
Yo u m a y g e t
a m a rk .
£
2 marks
Blackfield Primary School
41
44.
On the grid draw a triangle with the same area as the shaded rectangle.
Use a ruler.
1 mark
Blackfield Primary School
42
45.
Here is a drawing of a model car.
cm
0
1
2
3
4
5
6
7
8
9
10
What is the length of the model?
Give your answer in centimetres, correct to one decimal place.
cm
1 mark
The height of the model is 2.8 centimetres.
The height of the real car is 50 times the height of the model.
What is the height of the real car?
Give your answer in metres.
Show
y o u r m e th o d .
Yo u m a y g e t
a m a rk .
m
2 marks
Blackfield Primary School
43
46.
Mr Jones has two sizes of square paving stones.
s m a ll
la r g e
He uses them to make a path.
1 .5 5 m
3 .7 2 m
The path measures 1.55 metres by 3.72 metres.
Calculate the width of a small paving stone.
Show
y o u r m e th o d .
Yo u m a y g e t
a m a rk .
2 marks
Blackfield Primary School
44
47.
Kate has some rectangles.
They each measure 16 centimetres by 50 centimetres.
50 cm
16 cm
Not actual size
She makes this design with four of the rectangles.
x
y
Work out the lengths x and y.
x=
cm
1 mark
y=
cm
1 mark
Blackfield Primary School
45
48.
This shape is made from 4 shaded squares.
15cm
Not
a c tu a l s iz e
Calculate the perimeter of the shape.
Show
y o u r w o r k in g .
Yo u m a y g e t
a m a rk .
cm
2 marks
Blackfield Primary School
46
49.
Here is an equilateral triangle inside a square.
N o t a c tu a l s iz e
The perimeter of the triangle is 48 centimetres.
What is the perimeter of the square?
Show
y o u r w o r k in g .
Yo u m a y g e t
a m a rk .
cm
2 marks
50.
Lindy has 4 triangles, all the same size.
13cm
12cm
5cm
Blackfield Primary School
47
She uses them to make a star.
N o t t o s c a le
Calculate the perimeter of the star.
Show
y o u r m e th o d .
Yo u m a y g e t
a m a rk .
cm
2 marks
Blackfield Primary School
48
51.
A
D
B
C
Write the correct letter in this sentence.
Shape .......................... is a reflection of shape A.
1 mark
Blackfield Primary School
49
Shape A is rotated 180° about the point P.
Draw shape A in its new position on the diagram below.
You may use tracing paper.
You may use an angle measurer.
A
P
2 marks
Blackfield Primary School
50