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SHHS Maths - Higher > Shape and Space > Flashcards

Flashcards in Shape and Space Deck (35)
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1
Q

Formula for the circumference of a circle

A

πd

where d is the diameter of the circle

2
Q

Formula for the area of a circle

A

πr2

where r is the radius of the circle

3
Q

What does it mean for two shapes to be congruent?

A

They are exactly the same.

4
Q

What does Pythagoras’ Theorem say?

A

a2 + b2 = c2

for a right-angled triangle

5
Q

How many centimetres are in one metre?

A

100

6
Q
A

order 3

7
Q
A

tesselation

8
Q
A

Triangular based prism

9
Q

Formula for the area of the trapezium

A

1/2 (a + b) x perpendicular height

10
Q

Formula for the area of a triangle

A

1/2 x base x perpendicular height

11
Q

Formula for the area of a parallelogram

A

base x perpendicular height

12
Q

Formula for the volume of a prism

A

cross-sectional area x length

13
Q

Describe what the surface area of a 3D shape is

A

The area of all the faces added together

14
Q

To prove two triangles are congruent, use one of …

A

SSS, SAS, ASA, RHS

15
Q
A

Perpendicular bisector

16
Q
A

Angle bisector

17
Q

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

A

Elevation

18
Q

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

A

Plan view

19
Q
A

Net of a square-based pyramid

20
Q

Name the four types of transformation

A

Translation, rotation, reflection and enlargement

21
Q

For an enlargement you need to state:

A
  1. Centre of enlargement
  2. Scale Factor
22
Q

For a rotation you need to state:

A
  1. Centre of rotation
  2. Angle of rotation
  3. Direction of rotation (clockwise or anticlockwise)
23
Q

For a reflection you need to state:

A

Line of reflection

24
Q

For a translation you need to state:

A

Vector of translation

25
Q

What are the “triangles” for the trigonometry formulae?

A
26
Q

Change 2m3 into cm3

A

2 x 1003 = 2 x 1000000

= 2000000cm3

27
Q

Change 5cm2 into mm2

A

5 x 102 = 5 x 100

= 500mm2

28
Q

Change 3m2 into cm2

A

3 x 1002 = 3 x 10000

= 30000cm2

29
Q

How many ml are in 1 litre?

A

1000

30
Q

How many grams are there in 1 kilogram?

A

1000

31
Q

How many centimetres are there in 1 metre?

A

100

32
Q

How many metres are there in 1 kilometre?

A

1000

33
Q

How many millimetres are there in 1 centimetre?

A

10

34
Q

What is the cosine rule?

A
35
Q

What is the sine rule?

A