Year 9 Geometry Revision

Area

100

what shape is this?

Rectangle

200

What is the formula for the area of a triangle?

1/2bh

300

Calculate the area of this rectangle:

Length 5cm

Width 8cm

40cm²

400

Calculate the area of this Circle rounded to 2 decimal places.

Radius: 4cm

50.27cm²

500

Calculate the surface area of a Triangular Prism.

Triangle base = 6cm

Triangle height = 9cm

Angle side = 10.92cm

Depth = 5cm

217.8cm²

Volume

100

What is the formula for the volume of a cube?

l³

200

What is the volume for a triangular prism with a 27cm² triangle and a depth of 15cm?

405cm³

300

What is the volume of a cube with a length of 5cm?

125cm³

400

What is the volume of a triangular prism with:

Base = 15cm

Height = 20cm

Depth = 12cm

1800cm³

500

What is the volume of a cylinder with a radius of 6cm and a depth/height of 12cm? Round to two decimal places.

1357.17cm³

Pythagoras

100

What is the formula for Pythagoras' Theorem?

a² + b² = c²

200

Calculate the value of side c for a RA triangle with:

a = 4cm

b = 6cm

Round to 2 decimal places.

7.21cm

300

Calculate the value of side c for a RH triangle with: 

a = 12.6cm

b = 18.2cm

Round to two three places

22.136cm

400

Calculate the value of side b for a RH triangle with the values:

c = 15cm

a = 8cm

Round to two decimal places.

12.69cm

500

Calculate the value of side a, when c is 31cm. Both a and b side lengths are equivalent.

Round to two decimal places.

21.92cm

Trigonometric Ratios

100

What are the three phrases used to remember the trigonometric ratios?

SOH CAH TOA

200

Which function should be used when given opposite and adjacent sides?

Tangent or Tan

300

What is the trigonometric ratio for a RH triangle with the opposite side equal to 6cm and the hypotenuse equal to 10cm?

Write the complete formula.

Sin(θ) = 6/10

400

Find the length of the adjacent side for a RH triangle when the hypotenuse is equal to 18cm and theta is equal to 84^o.

Round to two decimal places.

1.88cm

500

Find the length of the hypotenuse for a RH triangle with theta equal to 41^o and the opposite side length equal to 24cm.

Round to two decimal places.

36.58cm