Lesson G6
G6 Geometric reasoning, simple proofs and Pythagoras' theorem Quiz: AQA Maths, Unit 4
20 questions
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Lesson G6, Geometric reasoning, simple proofs and Pythagoras' theorem: 20 multiple choice questions for the AQA GCSE Maths (8300), Unit 4: Geometry and measures, written with Revision Ninja.
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The 20 questions
-
A right-angled triangle has legs of 6 cm and 8 cm. What is the hypotenuse?
- 48 cm
- 14 cm
- 100 cm
- 10 cm
-
In a right-angled triangle, which side is always the longest?
- Hypotenuse
- Opposite
- Adjacent
- Base
-
A right-angled triangle has a hypotenuse of 13 cm and one leg of 5 cm. What is the other leg?
- 169
- 18
- 12
- 8
-
In Pythagoras' theorem, a² + b² = c², what does the letter c represent?
- Shortest side
- Right angle
- Perimeter
- Hypotenuse
-
Which type of triangle has side lengths of 5 cm, 12 cm and 13 cm?
- Right-angled
- Acute-angled
- Obtuse-angled
- Equilateral
-
A right-angled triangle has legs of 3 cm and 4 cm. What is its hypotenuse?
- 5 cm
- 25 cm
- 7 cm
- 12 cm
-
What is always true about the base angles of an isosceles triangle?
- They are obtuse
- They are equal
- They total 90°
- They total 60°
-
Which angle property is used in the standard proof that triangle angles sum to 180°?
- Corresponding angles
- Opposite angles
- Alternate angles
- Interior angles
-
A quadrilateral is split into two triangles by a diagonal. What does this show about its angle sum?
- 360 degrees
- 540 degrees
- 720 degrees
- 180 degrees
-
A rectangle measures 9 cm by 12 cm. What is its diagonal?
- 21 cm
- 15 cm
- 108 cm
- 10.5 cm
-
A right-angled triangle has a hypotenuse of 10 cm and one leg of 6 cm. What is the other leg?
- 8 cm
- 4 cm
- 16 cm
- 64 cm
-
A square has sides of 4 cm. What is its diagonal, in exact form?
- 16 cm
- 2√2 cm
- 8 cm
- 4√2 cm
-
A 10 m ladder reaches 8 m up a wall. How far is its foot from the wall?
- 2 m
- 12 m
- 6 m
- 18 m
-
What type of triangle is formed by side lengths 8 cm, 15 cm and 17 cm?
- Equilateral
- Acute-angled
- Obtuse-angled
- Right-angled
-
What type of triangle has three interior angles of 60° each?
- Equilateral
- Right-angled
- Scalene
- Isosceles
-
An exterior angle of a triangle equals the sum of which interior angles?
- Two adjacent interior
- All three interior
- Two opposite interior
- One opposite interior
-
A rectangle has a diagonal of 25 cm and one side of 7 cm. What is the other side?
- 18 cm
- 24 cm
- 576 cm
- 32 cm
-
A right-angled isosceles triangle has legs of length x. What is its hypotenuse?
- x√2
- x/√2
- x²√2
- 2x
-
What type of triangle has side lengths 9 cm, 12 cm and 14 cm?
- Right-angled
- Acute-angled
- Equilateral
- Obtuse-angled
-
An isosceles triangle has a base of 10 cm and equal sides of 13 cm. What is its height?
- 23 cm
- 12 cm
- 8 cm
- 11.5 cm
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