ICAS Year 7 Maths Prep

Mean

Sum ÷ count

Median

Middle value

Mode

Most frequent

Range

Largest − smallest

Convert km → m

× 1000

Convert m → km

÷ 1000

Convert hours → minutes

× 60

Percentage of number

Number × % ÷ 100

Fraction → %

Fraction × 100

% → fraction

% ÷ 100

Simplest ratio

Divide by GCD

1-step equation

Inverse operation

2-step equation

Undo ± then ×/÷

Square

Number × itself

Square root

√number

Cube

Number³

Cube root

³√number

Area rectangle

Length × width

Perimeter rectangle

2 × (L + W)

Area triangle

1/2 × base × height

Triangle perimeter

Sum of 3 sides

Area circle

π × r²

Circumference

2 × π × r

Area parallelogram

Base × height

Area trapezium

1/2 × (sum of parallel sides) × height

Reflect x-axis

(x, y) → (x, -y)

Reflect y-axis

(x, y) → (-x, y)

Rotate 90° clockwise

(x, y) → (y, -x)

Rotate 90° counterclockwise

(x, y) → (-y, x)

Translate point

(x + a, y + b)

Volume cube

Side³

Volume cuboid

L × W × H

Cylinder volume

π × r² × h

Cylinder surface area

2 × π × r² + 2 × π × r × h

Simple interest

P × r × t

Total amount

P + interest

Compound interest

P × (1 + r)^t

Scale diagram → real

Diagram × scale

Real → diagram

Actual ÷ scale

Probability

Favourable ÷ total

Speed

Distance ÷ time

Time

Distance ÷ speed

Distance

Speed × time

Velocity

Speed in a direction

Acceleration

Δv ÷ t

Sum of angles triangle

180°

Sum of angles quadrilateral

360°

Right angle

90°

Acute angle

Obtuse angle

90° & <180°