1. Here are six rectangles on a grid. Which two rectangles fit

1.
Here are six rectangles on a grid.
B
A
D
C
E
F
Which two rectangles fit together, without overlapping, to make a square?
................. and .................
1 mark
Blackfield Primary School
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2.
Emily has 6 cubes.
She sticks them together to make this model.
She paints the sides of the model grey all the way round.
She leaves the top and the bottom of the model white.
How many of the cubes in the model have exactly two faces painted grey?
1 mark
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3.
Ben makes this design on a grid.
He rotates the grid to a new position.
Shade in the missing parts of the design.
1 mark
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4.
Draw two more circles on this grid to make a design that has a line of symmetry.
1 mark
5.
Here are five patterns.
For each pattern put a tick ( ) if it has a line of symmetry.
Put a cross ( ) if it does not.
2 marks
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6.
Here are some shapes on a grid.
A
B
C
D
Write the letter of each shape that has one pair of parallel sides.
...........................................................................
1 mark
7.
A cube has shaded shapes on three of its faces.
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Here is a net of the cube.
Draw in the two missing shaded shapes.
1 mark
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8.
Look at these shapes.
B
C
A
E
D
F
Complete the sentences below.
One has been done for you.
............... A ............... is a kite
.................................
is not a quadrilateral
.................................
has only 2 right angles
................................
has 2 acute angles
2 marks
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9.
Here are four triangles on a square grid.
A
C
D
B
Write the letters of the two isosceles triangles.
............. and ...............
1 mark
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10.
There are four shapes on this diagram.
The diagram is turned to the new position below.
Draw the three missing shapes.
2 marks
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11.
A, B, C and D are the vertices of a rectangle.
A and B are shown on the grid.
y
7
6
A
5
4
B
3
2
1
0
1
2
3
4
5
6
7
8
9
x
D is the point ( 3, 4)
Write the coordinates of point C.
(
,
)
1 mark
Blackfield Primary School
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12.
Here is a cube.
The cube is shaded all the way round so that the top half is grey and the bottom half is
white.
Here is the net of the cube.
Complete the shading
2 marks
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13.
Here is part of a shape on a square grid.
Draw two more lines to make a shape which has a line of symmetry.
Use a ruler.
1 mark
Blackfield Primary School
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14.
Here are four diagrams.
On each one put a tick (
Put a cross ( ) if it is not.
) if it is a net of a cube.
2 marks
15.
This pattern is made by turning a shape clockwise through 90° each time.
Draw the two missing triangles on the last shape.
1 mark
Blackfield Primary School
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16.
The diagram shows two identical squares.
A is the point (10,10)
What are the coordinates of B and C?
B is
(
,
)
1 mark
C is
(
,
)
1 mark
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17.
Here are five shapes on a square grid.
A
B
C
D
E
Write the letters of the two shapes which have a line of symmetry.
.............................. and ..............................
2 marks
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18.
This is a drawing of a pentagonal prism.
Tick ( ) the one shape that is a net for the pentagonal prism.
1 mark
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19.
Here is a regular hexagon.
Join three of the dots to make an equilateral triangle.
Use a ruler.
1 mark
Here is a regular octagon.
Join three of the dots to make an isosceles triangle.
Use a ruler.
1 mark
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20.
These diagrams show the diagonals of three quadrilaterals.
Write the names of the quadrilaterals in the boxes.
2 marks
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21.
Here is the net of a cube with no top.
The shaded square shows the bottom of the cube.
Draw an extra square to make the net of a cube which does have a top.
1 mark
22.
Draw two straight lines from point A to divide the shaded shape into a square and two
triangles.
A
1 mark
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23.
Draw the reflection of this shape.
1 mark
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24.
A, B and C are three corners of a rectangle.
What are the coordinates of the fourth corner?
(
,
)
1 mark
25.
Here is an open top cube.
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Here is the net from which it is made.
Put a tick ( ) on the square which is its base.
1 mark
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26.
Here is a shaded square on a grid.
Shade in 3 more squares so that the design is symmetrical in both mirror lines.
1 mark
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27.
This scale shows the dates of floods and the height of the water in the floods.
H e ig h t o f
Ye a r o f
w a te r
f lo o d
(m e tre s )
3
1969
2
1955
1977
1
1948
2001
0
How high was the water in the 1955 flood?
m
1 mark
How much higher was the water in the 1969 flood than in the 1948 flood?
m
1 mark
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28.
Here is a grid of regular hexagons.
The shaded shape has an area of 3 hexagons and a perimeter of 14cm.
Draw another shape on the grid which has an area of 4 hexagons and a perimeter of
14cm.
1 cm
1 mark
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29.
Here is a triangle drawn on a square grid.
Draw a rectangle on the grid with the same area as the triangle.
Use a ruler.
1 mark
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30.
Here is a 1cm square grid.
Some of the grid is shaded.
What is the area that is shaded?
cm2
1 mark
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31.
Write these lengths in order, starting with the shortest.
3 .5 c m
1
2
m
25m m
20cm
s h o rte s t
1 mark
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32.
Max jumped 2.25 metres on his second try at the long jump.
This was 75 centimetres longer than on his first try.
How far in metres did he jump on his first try?
m
1 mark
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33.
Here are some shapes drawn on a grid.
Write the letters of the two shapes that are equal in area.
............................... and ...............................
1 mark
34.
Here are a pencil sharpener, a key and a rubber.
A c tu a l s iz e
0
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2
3
4
5
6
7
8
9 cm
30
What is the length of all three things together?
Give your answer in millimetres.
mm
1 mark
What is the length of the key?
Give your answer in millimetres.
mm
1 mark
35.
Kim has some rectangular tiles.
Each one is 4 centimetres by 9 centimetres.
4cm
9cm
She makes a design with them.
h e ig h t
w id t h
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Calculate the width and height of her design.
width =
cm
height =
cm
2 marks
36.
On the grid, draw a rectangle which has the same area as this shaded pentagon.
Use a ruler.
1 mark
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37.
This cuboid is made from centimetre cubes.
3cm
2cm
4cm
It is 4 centimetres by 3 centimetres by 2 centimetres.
What is the volume of the cuboid?
cm3
1 mark
Another cuboid is made from centimere cubes.
It has a volume of 30 cubic centimetres.
What could the length, height and width be?
length
cm
height
cm
width
cm
1 mark
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38.
Here are some shapes on a grid.
Which shape has the longest perimeter?
1 mark
Which shape has the largest area?
1 mark
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39.
Here is a centimetre square grid.
On the grid draw a shape which has an area of 10 square centimetres.
1 mark
On the grid below draw a rectangle which has a perimeter of 10 centimetres.
1 mark
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40.
This ring is made of regular pentagons, with sides of 5 centimetres.
5 cm
What is the length of the outer edge of the ring?
cm
1 mark
Here is part of a new ring.
It is made of squares and triangles.
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The pattern is continued to complete the ring.
What is the total number of squares used in the complete ring?
1 mark
41.
The area of the small shaded square is 1 square centimetre.
What is the area of the larger shaded square?
1 cm ²
cm2
1 mark
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On the grid below, draw a square with an area of 2 cm².
1 mark
42.
Measure angle A accurately.
Use a protractor (angle measurer).
angle A =
°
1 mark
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