Y9 SATS

1
Y9 SATS

• Area practise questions

2
Area and perimeter match M9.1
Match the areas and perimeters to the shapes.
For the area and perimeter left over, draw a
rectangle that fits those dimensions.
3
Find the area and perimeter of each of the shapes
3 cm
5 cm
4 cm
4 cm
3 cm
All lengths 1 cm
6 cm
0.5 cm
4 cm
5 cm
12 cm
3.5 cm
3 cm
13 cm
4
Area and perimeter match M9.1
Match the areas and perimeters to the shapes.
For the area and perimeter left over, draw a
rectangle that fits those dimensions.
5
Company logo M9.2

• An organisation has a pentagonal logo that is
  made from a rectangle and an isosceles triangle.
• The dimensions are as follows
• Length of rectangle 10 cmWidth of rectangle 3
  cmHeight of logo15 cmSide of isosceles
  triangle13 cm
• What is the area of the logo?
• How much braid is needed to go around the outside?

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made from a rectangle and an isosceles triangle.
Length of rectangle 10 cmWidth of rectangle 3
cmHeight of logo 15 cmSide of
isosceles triangle13 cm
13 cm
13 cm
15 cm
3 cm
10cm
Need perpendicular height of triangle
To find the area of the logo
Area of rectangle area of triangle
0.5 x 10 x 12
3 x 10
30 60 90 cm²
To find perimeter of the logo
13 13 3 10 3 42 cm
7
Triangles like this
13 cm
12 cm
5cm
Are used to make a star.
What is the area of the star?
Area 0.5 x 12 x 5 x 4 120 cm²
What is its perimeter?
Perimeter 13 7 13 7 13 7 13 7 80cm
Framework supplement page 18
8
The length of a rectangle is 4cm more than its
width. Its area is 96cm². What is its perimeter?
Trial and error
Find a pair of factors of 96 which have a
difference of 4.
w 4
Using algebra
w
w ( w 4 ) 96
The dimensions of the rectangle are 12 cm by 8
cm The perimeter of the rectangle is 40cm.
Framework supplement page 18
9
The diagram shows a shaded square inside a larger
square. Calculate the area of the shaded square.
3cm
14 cm
All the corner triangles are congruent.
3 cm
The area of the large square is?
14cm 3 cm
The area of each small triangle is?
The area of the small square is large sq 4 x
triangles
196 cm² - 4 x 16.5 130 cm²
Framework supplement page 235
10
Coffee M9.3

• A box for coffee is in the shape of a hexagonal
  prism.

One end of the box is shown below.Each of the
six triangles in the hexagon has the same
dimensions.
(a) Calculate the total area of the hexagon.
(b) The box is 10 cm long. After packing,the
coffee fills 80 of the box. How many
grams of coffee are in the box? (The mass of
1 cm3 of coffee is 0.5 grams.) (c) A 227 g
packet of the same coffee costs 2.19. How much
per 100 g of coffee is this?