Year 7 Term 3 Revision

Area

100

Calculate the area of a parallelogram with a base of 24cm and a perpendicular height of 14cm.

336cm²

200

Calculate the area of a triangle with a base of 10cm and a perpendicular height of 6cm.

30cm²

300

Calculate the area of a parallelogram with a base of 4m, a slant height of 7m and a perpendicular height of 5cm.

20m²

400

Calculate the perpendicular height of a triangle with an area of 180m² and a base of 45m.

height = 8m

500

A triangle and rectangle have been joined together to make a composite shape. The triangle has a perpendicular height of 4.5mm and an area of 63mm². The parallelogram has a base of 20mm and a height of 14mm. Calculate the total area of the composite shape.

Total area = 343mm²

Volume

100

Calculate the volume of a prisms with a base area of 30cm² and a height of 9cm.

Volume = 270cm³

200

Calculate the volume of a rectangular prism with the dimensions 8m, 3m and 5m.

Volume = 120m³

300

A triangular prism has a base of 110mm, a perpendicular height of 4cm and an object height of 3cm. What is the volume?

Volume = 66cm³

400

A rectangular prism has a volume of 810m³ and has a base of 9m and a height of 2m. What is the object length of the prism?

Object length = 45m

500

A cube has a volume of 343m³. What is the side length of the cube?

Side length = 7 metres

Simplifying Expressions

100

Simplify 6x+5-3x

3x+5

200

Simplify 13y+4x-4y

9y+4x

300

Simplify 5+3x-5y+3-2x+7y

8+x+2y

400

Simplify 4z X 4y + 5yz X 5

41yz

500

Simplify (6z X 7y² + 23y² X 4z)/2y

67yz

Substitution

100

Evaluate 6n when n=7

Answer = 42

200

Evaluate n²-n when n = 8

Answer = 56

300

Evaluate ³√p when p=27

Answer = 3

400

If J x N if J² is 49 and J x N = 63, what is the value of N?

Answer: N=9

500

Evaluate 2a+3xy-a² when a=4, x=30 and y=2

Answer = 172

Solving Equations

100

Solve for t: 5t=65

t=13

200

Solve for a: 5a+7=22

a=3

300

Solve for m: 2(m+4)=18

m=5

400

Solve for x: 5x=4x+7

x=7

500

Solve for x: 4x+8=-9x-5+4x

-13/9 or -1.44^-