CAIE IGCSE Mathematics Core C6.1 Pythagoras Theorem Topic Practice

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Covered syllabus points

C6.1.1 Know and use Pythagoras’ theorem.

Question 1

[Maximum number: 3]
Figure for Question 1 — CAIE IGCSE Mathematics Core

The diagram shows a circle, centre O, with diameter PQ. R is a point on the circumference.

Calculate the length of PQ.

P Q=

cm [3]

Question 2

[Maximum number: 3]
Figure for Question 2 — CAIE IGCSE Mathematics Core

A ladder of length 5.6 m rests against a vertical wall.
The bottom of the ladder is 1.5 m from the bottom of the wall, on horizontal ground.
Calculate the distance from the top of the ladder to the base of the wall.
m [3]

Question 3

[Maximum number: 3]



NOT TO SCALE

The diagram shows a right-angled triangle ABC.
Show that BC is 7.5 cm, correct to 2 significant figures.

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