Pythagorean Practice Test Challenge

Alex and Sam start from the same point. Alex walks 400 meters west. Sam walks x meters south, until they are 600 m apart from each other. How far does Sam walk?

• 200 m

• 447 m

• 721 m

• 1000 m

A television’s size is the measurement from the upper left hand corner of the television to the bottom right hand corner. Find the size of this television.

• 75 inches

• 150 inches

• 39.7 inches

• 55.1 inches

The pole of a sailing boat is supported by a rope from the top of the pole to an anchor point on the deck. The pole is 4 m long and the rope is 4.5 m long. Calculate the distance from the base of the pole to the anchor point of the rope on the deck.

• 2.06 m

• 6.02 m

• 8.5 m

• 0.5 m

Work out the length of the diagonal of a square with 8 cm sides.

• 11.3 cm

• 16 cm

• 8 cm

• 12 cm

Here is a cm square grid. Calculate the distance between the points A and B.

• 9 cm

• 5.20 cm

• 3 cm

• 6.71 cm

Which is a right angled triangle?

• A

• B

• C

• D

PQRS is made from two right angled triangles. Work out the length of QR.

• 18.0 m

• 6 m

• 15.9 m

• 21.3 m

Here is a pattern made from right angled triangles. Work out the length x.

• 8.60 cm

• 16.6 cm

• 11.1 cm

• 8.66 cm