Lesson T4.6.1
T4.6.1 Pythagoras' theorem Quiz: KS3 Maths, Unit 4
20 questions
In partnership with Revision Ninja
Lesson T4.6.1, Pythagoras' theorem: 20 multiple choice questions for the KS3 Maths (National Curriculum), Unit 4: Geometry and measures, written with Revision Ninja.
Host it live on the board and students join with a game code on their own devices, or revise alone with Free Play. The answers are revealed in the game.
The 20 questions
-
Pythagoras' theorem applies to which triangles?
- Any triangle
- Right-angled triangles
- Equilateral triangles only
- Circles only
-
What is the longest side of a right-angled triangle called?
- Opposite
- Base
- Adjacent
- Hypotenuse
-
Which formula is Pythagoras' theorem?
- a + b = c
- 2a + 2b = c
- a² + b² = c²
- a² - b² = c²
-
A right-angled triangle has legs 3 cm and 4 cm. What is the hypotenuse?
- 7 cm
- 5 cm
- 12 cm
- 25 cm
-
A right-angled triangle has legs 6 cm and 8 cm. What is the hypotenuse?
- 48 cm
- 100 cm
- 10 cm
- 14 cm
-
A right-angled triangle has hypotenuse 13 cm and one leg 5 cm. What is the other leg?
- 8 cm
- 12 cm
- 169 cm
- 18 cm
-
A 5 m ladder leans against a wall with its foot 3 m from the wall. How high up the wall does it reach?
- 2 m
- 34 m
- 4 m
- 8 m
-
Which set of lengths could be the sides of a right-angled triangle?
- 5, 12 and 13
- 3, 4 and 6
- 4, 5 and 6
- 2, 3 and 4
-
Is a triangle with side lengths 7, 24 and 25 right-angled?
- Cannot tell
- Only if scaled
- No
- Yes
-
A right-angled triangle has a leg of 9 cm and a hypotenuse of 15 cm. What is the other leg?
- 6 cm
- 24 cm
- 225 cm
- 12 cm
-
A ladder rests against a wall. It is 10 m long and its foot is 6 m from the wall. How high does it reach?
- 16 m
- 64 m
- 4 m
- 8 m
-
A square has sides of 7 cm. What is its diagonal, to 1 decimal place?
- 14 cm
- 49 cm
- 9.9 cm
- 7 cm
-
A rectangle is 9 cm by 12 cm. What is the length of its diagonal?
- 15 cm
- 108 cm
- 3 cm
- 21 cm
-
A right-angled triangle has a hypotenuse of 17 cm and a leg of 8 cm. What is the other leg?
- 9 cm
- 25 cm
- 225 cm
- 15 cm
-
An isosceles triangle has sides 5 cm, 5 cm and a base of 6 cm. What is its height?
- 3 cm
- 8 cm
- 4 cm
- 5 cm
-
Which rearrangement gives the leg b in a right-angled triangle?
- b = √(c² - a²)
- b = √(c² + a²)
- b = c² - a²
- b = c - a
-
Can Pythagoras' theorem be used on a triangle without a right angle?
- Only for scalene
- Yes
- No
- Only for isosceles
-
A rectangular floor is 6 m by 8 m. What is the length of its diagonal?
- 2 m
- 14 m
- 48 m
- 10 m
-
A kite string is 25 m long and reaches a point 24 m above the ground. How far horizontally is the kite from the child holding the string?
- 1 m
- 49 m
- 31 m
- 7 m
-
A right-angled triangle has legs 5 cm and 5 cm. What is the hypotenuse, to 2 decimal places?
- 10 cm
- 25 cm
- 7.07 cm
- 5 cm
Related quizzes
- Area of triangles, parallelograms and trapezia Quiz · T4.1.1 · 20 questions
- Circles, perimeter and composite shapes Quiz · T4.1.2 · 20 questions
- Volume of cuboids, prisms and 3-D shapes Quiz · T4.1.3 · 20 questions
- Drawing and measuring lines and angles Quiz · T4.2.1 · 20 questions
- Ruler and compass constructions Quiz · T4.2.2 · 20 questions
- Angles at a point and on a straight line Quiz · T4.3.1 · 20 questions
- Parallel lines, alternate and corresponding angles Quiz · T4.3.2 · 20 questions
- Angles in triangles and polygons Quiz · T4.3.3 · 20 questions
- Labelling triangles and congruence Quiz · T4.4.1 · 20 questions
- Properties of triangles, quadrilaterals and circles Quiz · T4.4.2 · 20 questions