Year 8 Maths Basics

Cards · 75

Calculate: -7 + 12

5

Calculate: -4 - 9

-13

Calculate: -6 × -8

48

Calculate: 36 ÷ -4

-9

Formula: Area of a rectangle (length l, width w)

Area = l × w

Formula: Perimeter of a rectangle (length l, width w)

Perimeter = 2l + 2w

Formula: Area of a triangle (base b, height h)

Area = (1/2) × b × h

Formula: Area of a parallelogram (base b, height h)

Area = b × h

Formula: Area of a trapezium (parallel sides a, b; height h)

Area = ((a + b) / 2) × h

Formula: Circumference of a circle with radius r

Circumference = 2πr (or πd)

Formula: Area of a circle with radius r

Area = πr²

Calculate the area of a circle with radius 7 cm (use π = 22/7)

154 cm²

Calculate the perimeter of a rectangle with length 8 cm and width 5 cm

26 cm

Simplify the fraction: 18/24

3/4

Calculate: 2/5 + 1/3

11/15

Calculate: 3/4 - 1/6

7/12

Calculate: 2/3 × 9/10

3/5

Calculate: 4/5 ÷ 2/3

6/5 (or 1 1/5)

Convert to percentage: 3/8

37.5%

Convert to a simplified fraction: 45%

9/20

Calculate 15% of 80

12

Increase 60 by 20%

72

Decrease 50 by 10%

45

Simplify the ratio: 12 : 20

3 : 5

Divide £60 in the ratio 2 : 3

£24 and £36

Solve for x: 3x + 5 = 20

x = 5

Solve for x: 4x - 7 = 17

x = 6

Solve for x: 2(x + 3) = 16

x = 5

Solve for x: 5x - 3 = 2x + 9

x = 4

Expand: 3(2x - 5)

6x - 15

Expand: -4(x - 3)

-4x + 12

Factorise completely: 6x + 9

3(2x + 3)

Factorise completely: 8x² - 12x

4x(2x - 3)

Simplify: 4a + 5b - 2a + 3b

2a + 8b

Simplify: x³ × x⁴

x⁷

Simplify: y⁸ ÷ y²

y⁶

Simplify: (m³)²

m⁶

Evaluate: 5⁰

1

Evaluate: 2⁻³

1/8 (or 0.125)

State the sum of interior angles in a triangle

180°

State the sum of interior angles in a quadrilateral

360°

Formula: Sum of interior angles of an n-sided polygon

Sum = (n - 2) × 180°

Calculate the interior angle sum of a pentagon (5 sides)

540°

State the size of each interior angle in a regular hexagon

120°

State the sum of exterior angles of any convex polygon

360°

What is the relationship between alternate angles on parallel lines?

They are equal

What is the relationship between corresponding angles on parallel lines?

They are equal

What is the sum of co-interior (consecutive) angles on parallel lines?

180°

State Pythagoras' Theorem for right-angled triangles

a² + b² = c² (where c is the hypotenuse)

Find the hypotenuse c if legs are a = 3 and b = 4

c = 5

Find leg a if hypotenuse c = 10 and leg b = 6

a = 8

Formula: Volume of a rectangular prism (box)

Volume = length × width × height

Formula: Volume of any prism with base area A and height h

Volume = A × h

Calculate the volume of a cube with side length 4 cm

64 cm³

Formula: Surface area of a cube with side length s

Surface Area = 6s²

Formula: Speed (given distance d and time t)

Speed = Distance ÷ Time

Calculate speed: 150 km travelled in 3 hours

50 km/h

Formula: Density (given mass m and volume v)

Density = Mass ÷ Volume

Find the median of: 3, 5, 7, 9, 11

7

Find the median of: 4, 6, 8, 12

7

Find the mean of: 4, 7, 10, 15

9

Find the mode of: 2, 4, 4, 7, 8, 9

4

Formula: Range of a data set

Range = Maximum value - Minimum value

Find the range of: 12, 5, 23, 17, 8

18

Formula: Probability of an event occurring

P(E) = (Number of favourable outcomes) ÷ (Total possible outcomes)

Calculate the probability of rolling an even number on a standard die

1/2 (or 3/6)

State the sum of probabilities of all mutually exclusive outcomes

1

Convert 2.5 metres to centimetres

250 cm

Convert 3.5 kilograms to grams

3500 g

Convert 450 millilitres to litres

0.45 L

Evaluate: √144

12

Evaluate: ∛27

3

State the first four prime numbers

2, 3, 5, 7

Find the highest common factor (HCF) of 24 and 36

12

Find the lowest common multiple (LCM) of 6 and 8

24