Maths TEST C REVISION Yr 9

Simplify √50

5√2

Simplify √72

6√2

Simplify √18 + √8

5√2

Multiply √3 × √12

6

Rationalise 1/√5

√5/5

Simplify √45

3√5

Add √20 + √5

3√5

Simplify (√7)²

7

Expand √2 × √8

4

Simplify √98

7√2

Evaluate 2³

8

Evaluate 5⁰

1

Evaluate 4⁻¹

1/4

Simplify 2³ × 2⁴

2⁷

Simplify 3⁶ ÷ 3²

3⁴

Simplify (5²)³

5⁶

Convert 16^(1/2)

4

Convert 27^(1/3)

3

Simplify 9^(-1/2)

1/3

Simplify (2³ × 2²) ÷ 2⁴

2

Convert 0.333…

1/3

Convert 0.666…

2/3

Convert 0.2727…

3/11

Convert 0.1818…

2/11

Convert 0.999…

1

Expand (x + 3)(x + 4)

x² + 7x + 12

Expand (x − 5)(x + 2)

x² − 3x − 10

Expand (2x + 3)(x + 4)

2x² + 11x + 12

Expand (3x − 2)(x − 5)

3x² − 17x + 10

Expand (x + 6)²

x² + 12x + 36

Factorise x² + 5x + 6

(x + 2)(x + 3)

Factorise x² − x − 6

(x − 3)(x + 2)

Factorise 2x² + 7x + 3

(2x + 1)(x + 3)

Factorise x² − 9

(x − 3)(x + 3)

Factorise 3x² − 12

3(x² − 4)

Rearrange y = 2x + 5 for x

(y − 5)/2

Rearrange A = lw for w

A/l

Rearrange v = u + at for t

(v − u)/a

Rearrange y = 3x − 7 for x

(y + 7)/3

Rearrange P = 2l + 2w for l

(P − 2w)/2

Expand (x + 1)(x − 1)

x² − 1

Factorise x² + 2x − 15

(x + 5)(x − 3)

Expand (2x − 1)²

4x² − 4x + 1

Factorise 4x² − 25

(2x − 5)(2x + 5)

Expand (x + 2)(x + 5)

x² + 7x + 10

Factorise x² − 4x + 4

(x − 2)²

Expand (3x + 2)(2x − 1)

6x² + x − 2

Rearrange F = ma for m

F/a

Factorise 5x² + 10x

5x(x + 2)

Expand (x − 3)²

x² − 6x + 9

Translation vector (3, 2)

right 3, up 2

Reflection in y-axis

x becomes −x

Reflection in x-axis

y becomes −y

Rotation 90° clockwise

(x, y) → (y, −x)

Rotation 180°

(x, y) → (−x, −y)

Enlargement scale factor 2

doubles size

Scale factor ½

halves size

Negative scale factor

shape flips

Scale factor −1

reflection through centre

Centre of enlargement

fixed point

Congruent triangles

same size and shape

SSS

side, side, side

SAS

side, angle, side

ASA

angle, side, angle

RHS

right angle, hypotenuse, side

Similar shapes

same shape, different size

Scale factor

new ÷ original

Area scale factor

k²

Length scale factor

k

Triangle angle sum

180°

Interior angles of quadrilateral

360°

Vertical line equation

x = constant

Horizontal line equation

y = constant

Midpoint formula

average of coordinates

Parallel lines

same gradient

Gradient formula

change in y ÷ change in x

Equation form

y = mx + c

m

gradient

c

y-intercept

Gradient of horizontal line

0

Gradient of vertical line

undefined

Positive gradient

line rises

Negative gradient

line falls

y-intercept

where x = 0

Plot y = 2x + 1

straight line

Quadratic graph

parabola

Cubic graph

S-shaped curve

Solve x + 3 > 5

x > 2

Solve 2x ≤ 8

x ≤ 4

Solve −x > 3

x < −3

Inequality sign flips

when multiplying by negative

Number line open circle

not included

Closed circle

included

Shade above line

y >

Shade below line

y <

Solid line

includes boundary

Dashed line

does not include boundary

Real-life graph

represents real situation

Distance-time graph slope

speed

Flat distance-time graph

stationary