Q1.

A square tile measures 20 cm by 20 cm.
A rectangular tile is 3 cm longer and 2 cm narrower than the square tile.
What is the difference in area between the two tiles?
 
3 marks
Q2.
 
The flag of Greenland is a rectangle with a circle drawn inside.

Here is the same flag rotated. 

The sketch gives the information you need to draw the flag. 

Use the correct mathematical equipment to draw accurately the flag of Greenland.
Some of the flag is drawn for you.

3 marks
Q3.
 
Here is a grid of regular hexagons.
The shaded shape has an area of 3 hexagons and a perimeter of 14 cm.
Draw another shape on the grid which has an area of 4 hexagons and a perimeter of 14 cm.

1 mark
Q4.
 
Lara has some identical rectangles.
They are 7 centimetres long and 2 centimetres wide.

She uses five of her rectangles to make the large rectangle below.

What is the perimeter of the large rectangle?
 
1 mark
What is the area of the large rectangle?
 
1 mark
Q5.
 
A white square is painted in one corner of a grey square.
Each side of the white square is half the length of a side of the grey square.

Not actual size
What is the area of the grey section?

Q6.
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The diagram shows a square of side length 12 cm. 
Inside the square are 8 congruent trapeziums and a shaded square. 

The side length of the shaded square is 6 cm. 
What is the area of one of the trapeziums? 

3 marks
Q7.
 
Megan says,
‘If two rectangles have the same perimeter,
they must have the same area.’
Is she correct?
Circle Yes or No.
Yes / No
Explain how you know.

1 mark
Q8.
 
Here are five triangles on a square grid.
 
Four of the triangles have the same area.
Which triangle has a different area?
________________________
1 mark
Q9.
 
The area of a rugby pitch is 6,108 square metres.
A football pitch measures 112 metres long and 82 metres wide.
How much larger is the area of the football pitch than the area of the rugby pitch?

3 marks
Q10.
 
Here are some shapes on a 1cm square grid.

What is the perimeter of shape A?
 
1 mark
Write the letter of the shape that has the smallest area.
 
1 mark
Q11.
 
The grid below is made of right-angled
triangles like this:	 	
Shade triangles on the grid to make a quadrilateral.
Your quadrilateral must have an area of 24 cm2 and a perimeter of 26 cm.

2 marks
Q12.
 
Draw a rectangle on the grid that has half the area of the shaded triangle.
Use a ruler. 

1 mark
Q13.
 
The area of this square is 36 cm2.

The square is cut into quarters to create 4 identical rectangles.

What is the perimeter of one of the small rectangles?

2 marks
Q14.
 
The diagram shows a shaded triangle inside a rectangle.
 
What is the area of the shaded triangle?

2 marks