Shape and Space

Question 1

Formula for the circumference of a circle

Answer 1

πd

where d is the diameter of the circle

Question 2

Formula for the area of a circle

Answer 2

πr²

where r is the radius of the circle

Question 3

What does it mean for two shapes to be congruent?

Answer 3

They are exactly the same.

Question 4

What does Pythagoras’ Theorem say?

Answer 4

a² + b² = c²

for a right-angled triangle

Question 5

How many centimetres are in one metre?

Answer 5

100

Question 6

Answer 6

order 3

Question 7

Answer 7

tesselation

Question 8

Answer 8

Triangular based prism

Question 9

Formula for the area of the trapezium

Answer 9

1/2 (a + b) x perpendicular height

Question 10

Formula for the area of a triangle

Answer 10

1/2 x base x perpendicular height

Question 11

Formula for the area of a parallelogram

Answer 11

base x perpendicular height

Question 12

Formula for the volume of a prism

Answer 12

cross-sectional area x length

Question 13

Describe what the surface area of a 3D shape is

Answer 13

The area of all the faces added together

Question 14

To prove two triangles are congruent, use one of …

Answer 14

SSS, SAS, ASA, RHS

Question 15

Answer 15

Perpendicular bisector

Question 16

Answer 16

Angle bisector

Question 17

The view from front or side of a 3D shape is called

Answer 17

Elevation

Question 18

What is the bird’s eye view of a shape called

Answer 18

Plan view

Question 19

Answer 19

Net of a square-based pyramid

Question 20

Name the four types of transformation

Answer 20

Translation, rotation, reflection and enlargement

Question 21

For an enlargement you need to state:

Answer 21

1. Centre of enlargement
2. Scale Factor

Question 22

For a rotation you need to state:

Answer 22

1. Centre of rotation
2. Angle of rotation
3. Direction of rotation (clockwise or anticlockwise)

Question 23

For a reflection you need to state:

Answer 23

Line of reflection

Question 24

For a translation you need to state:

Answer 24

Vector of translation

Question 25

What are the “triangles” for the trigonometry formulae?

Answer 25

Question 26

Change 2m³ into cm³

Answer 26

2 x 100³ = 2 x 1000000

= 2000000cm³

Question 27

Change 5cm² into mm²

Answer 27

5 x 10² = 5 x 100

= 500mm²

Question 28

Change 3m² into cm²

Answer 28

3 x 100² = 3 x 10000

= 30000cm²

Question 29

How many ml are in 1 litre?

Answer 29

1000

Question 30

How many grams are there in 1 kilogram?

Answer 30

1000

Question 31

How many centimetres are there in 1 metre?

Answer 31

100

Question 32

How many metres are there in 1 kilometre?

Answer 32

1000

Question 33

How many millimetres are there in 1 centimetre?

Answer 33

10

Question 34

What is the cosine rule?

Answer 34

Question 35

What is the sine rule?

Answer 35