Shape 2 Facts

Question 1

How do you find the area of a parallelogram?

Answer 1

Base x perpendicular height

Question 2

How do we find the area of a rectangle?

Answer 2

Length x width

Question 3

How do we find the area of a triangle?

Answer 3

Half x base x perpendicular height

Question 4

What is the formula for the area of a trapezium?

Answer 4

Half x (top + bottom) x height

Question 5

Name two 2D shapes whose area formulae include dividing by 2.

Answer 5

Triangle and Trapezium

Question 6

What’s the formula for the circumference of a circle?

Answer 6

πd or 2πr

Question 7

What’s the formula for the area of a sector?

Answer 7

πr² x angle / 360

Question 8

What’s the formula for the area of a circle?

Answer 8

πr²

Question 9

What’s the formula for the length of an arc?

Answer 9

2πr x angle / 360

Question 10

How do you find the area of a semi circle?

Answer 10

πr² ÷ 2

Question 11

If you know the length of a radius of a circle, how do you find the diameter?

Answer 11

Double the radius

Question 12

What do we call the straight line across a circle that does not go through the centre?

Answer 12

Chord

Question 13

What do we call the part of a circle between a chord and the circumference?

Answer 13

Segment

Question 14

What do we call the part of a circle between two radii and the circumference

Answer 14

Sector

Question 15

What do we call the straight line that touches a curve at a point but doesn’t cross it?

Answer 15

Tangent

Question 16

Complete the circle theorem: “The angle in a semi circle is …”

Answer 16

A right angle

Question 17

Complete the circle theorem: “The perpendicular from the centre of a circle to a chord….”

Answer 17

Bisects the chord

Question 18

Complete the circle theorem: ‘a radius meets a tangent at…’

Answer 18

A right angle

Question 19

Complete the circle theorem: ‘Opposite angles in a cyclic quadrilateral…’

Answer 19

Sum to 180 degrees

Question 20

Complete the circle theorem: ‘The angle at the centre is …”

Answer 20

Twice the angle at the circumference.

Question 21

Name the circle theorem which has a triangle and a tangent with a circle

Answer 21

Alternate segment theorem

Question 22

What’s the name for a quadrilateral which has all four vertices touching the circumference of a circle?

Answer 22

Cyclic quadrilateral

Question 23

Are bearings measured clockwise or antclockwise?

Answer 23

Clockwise

Question 24

From which compass direction are bearings measured?

Answer 24

North

Question 25

How many figures must a bearing be?

Answer 25

3

Question 26

When measuring a bearing of A from B where is the centre of the protractor placed?

Answer 26

On B

Question 27

If the bearing of A from B is 110, what is the bearing of B from 8

Answer 27

110 + 180 = 290

Question 28

Which regular shapes tessellate?

Answer 28

Squares, equilateral triangles and regular hexagons.

Question 29

What is tessellation?

Answer 29

Shapes fitting together with no gaps between them.

Question 30

When regular hexagons tessellate how many meet at a point?

Answer 30

3

Question 31

When squares tessellate how many meet at a point?

Answer 31

4

Question 32

Why don't regular pentagons tessellate?

Answer 32

No multiple of their interior angle equals 360 degrees

Question 33

If the length scale factor is k, what is the volume scale factor?

Answer 33

k³

Question 34

If the length scale factor is k, what is the area scale factor?

Answer 34

k²

Question 35

If the volume scale factor is t³, what is the area scale factor?

Answer 35

t²

Question 36

If the volume scale factor is t³, what is the length scale factor?

Answer 36

t

Question 37

If the volume scale factor is a, what is the length scale factor?

Answer 37

Cube root of a

Question 38

If the area scale factor is a, what is the length scale factor?

Answer 38

√a

Question 39

How do you find the volume of a cube with side length x?

Answer 39

x³

Question 40

How do you find the volume of a cuboid?

Answer 40

Length x width x height

Question 41

How do you find the volume of a cylinder with height h and radius r?

Answer 41

πr²h

Question 42

How do you find the volume of a prism?

Answer 42

The area of the cross section multiplied by the height

Question 43

What is the formula for the curved surface area of a cylinder with height h and radius r?

Answer 43

2πrh

Question 44

How do you find the volume of a cone with height h and radius r?

Answer 44

A third x πr²h

Question 45

How do you find the surface area of a cuboid with length a, width b and height c?

Answer 45

2(ab + ac + bc)