Factorising algebraic expressions – Hard – Primrose Kitten

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Factorising algebraic expressions – Hard

Last updated: 06/12/2019

OCR GCSE Maths – Higher Algebra Factorising algebraic expressions – Hard

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Question 1 of 25

1. Question
Factorise 12x² – 4x
- 4x(3x – 1)
- 2x(6x – 2)
- 2x(x – 2)
- 2x(6x)
Correct

Incorrect
Question 2 of 25

2. Question
Factorise 16x² + 14x
- 2x(8x + 7)
- x(8x + 7)
- 2x(8x)
- 8x + 7
Correct

Incorrect
Question 3 of 25

3. Question
Factorise 15x² + 21x
- 3x(5x + 7)
- 3x(x + 7)
- 5x + 7
- 3x(5x)
Correct

Incorrect
Question 4 of 25

4. Question
Factorise 35x² + 49x
- 7x(5x + 7)
- 5x + 7
- x(5x + 7)
- 7x(5x)
Correct

Incorrect
Question 5 of 25

5. Question
Factorise 42x² + 42x
- 42x(x + 1)
- 6x(7x + 7)
- 7x + 7
- 6x(x + 7)
Correct

Incorrect
Question 6 of 25

6. Question
Factorise 24x² – 40x
- 8x(3x – 5)
- x(3x – 5)
- 3x – 5
- 8x(x – 5)
Correct

Incorrect
Question 7 of 25

7. Question
Factorise 14x² + 56x
- 14x(x + 4)
- 7x(2x + 8)
- 7x(x + 8)
- x(2x + 8)
Correct

Incorrect
Question 8 of 25

8. Question
Factorise 18x² + 18x
- 18x(x + 1)
- 6x(3x + 3)
- 6x(x + 3)
- x(3x + 3)
Correct

Incorrect
Question 9 of 25

9. Question
Factorise 6x² + 3xy
- 3x(2x + y)
- 3x(2x + y)
- 3x(2x + 1)
- 2x + 1y
Correct

Incorrect
Question 10 of 25

10. Question
Factorise 21x² + 21xy
- 21x(x + y)
- 3x(7x + 7y)
- 7x + 7y
- x(7x + 7y)
Correct

Incorrect
Question 11 of 25

11. Question
Factorise 4x² + 16xy
- 4x(x + 4y)
- 4x(1x + 4)
- 4x(1x + y)
- 1x + 4y
Correct

Incorrect
Question 12 of 25

12. Question
Factorise 28x² – 24x
- 4x(7x – 6)
- 7x – 6
- 4x(7x)
- 4x(x – 6)
Correct

Incorrect
Question 13 of 25

13. Question
Factorise 24x² – 18x
- 6x(4x – 3)
- 6x(x – 3)
- x(4x – 3)
- 6x(4x)
Correct

Incorrect
Question 14 of 25

14. Question
Factorise 9x² – 3x
- 3x(3x – 1)
- 3x(3x)
- x(3x – 1)
- 3x – 1
Correct

Incorrect
Question 15 of 25

15. Question
Factorise 12x² – 6x
- 6x(2x – 1)
- 3x(4x – 2)
- x(4x – 2)
- 4x – 2
Correct

Incorrect
Question 16 of 25

16. Question
Factorise 16x² + 2x
- 2x(8x + 1)
- 2x(x + 1)
- 2x(8x)
- x(8x + 1)
Correct

Incorrect
Question 17 of 25

17. Question
Factorise 8x² – 6x
- 2x(4x – 3)
- 2x(4x)
- x(4x – 3)
- 2x(x – 3)
Correct

Incorrect
Question 18 of 25

18. Question
Factorise 48x² + 24xy
- 24x(2x + y)
- 6x(8x + 4y)
- 8x + 4y
- 6x(8x + y)
Correct

Incorrect
Question 19 of 25

19. Question
Factorise 64x² – 32x
- 32x(2x – 1)
- 8x(8x – 4)
- x(8x – 4)
- 8x – 4
Correct

Incorrect
Question 20 of 25

20. Question
Factorise 48x² + 24x
- 24x(2x + 1)
- 6x(8x + 4)
- 6x(x + 4)
- x(8x + 4)
Correct

Incorrect
Question 21 of 25

21. Question
Factorise 48x² – 32x
- 16x(3x – 2)
- 8x(6x – 4)
- 8x(x – 4)
- 6x – 4
Correct

Incorrect
Question 22 of 25

22. Question
Factorise 15x² + 9x
- 3x(5x + 3)
- 3x(5x)
- x(5x + 3)
- 3x(x + 3)
Correct

Incorrect
Question 23 of 25

23. Question
Factorise 28x² – 32x
- 4x(7x – 8)
- 4x(x – 8)
- 4x(7x)
- x(7x – 8)
Correct

Incorrect
Question 24 of 25

24. Question
Factorise 28x² – 42x
- 14x(2x – 3)
- 7x(4x – 6)
- 7x(x – 6)
- x(4x – 6)
Correct

Incorrect
Question 25 of 25

25. Question
Factorise 40x² + 64xy
- 8x(5x + 8y)
- x(5x + 8y)
- 8x(x + 8y)
- 5x + 8y
Correct

Incorrect

Course Navigation

Course Home Expand All

Number Operations and Integers

27 Quizzes

Addition – Easy

Addition – Medium

Addition – Hard

Subtraction – Easy

Subtraction – Medium

Subtraction – hard

Multiplication – Easy

Multiplication – Medium

Multiplication – hard

Long division – Easy

Long division – Medium

Long division – hard

Primes – Easy

Primes – Medium

Primes – Hard

Factors – Easy

Factors – Medium

Factors – Hard

Multiples – Easy

Multiples – Medium

Multiples – Hard

Place value – Easy

Place value – Medium

Place value – Hard

BODMAS – Easy

BODMAS – Medium

BODMAS – Hard

Fractions, Decimals and Percentages

57 Quizzes

Adding fractions – Easy

Adding fractions – Medium

Adding fractions – Hard

Subtracting fractions – Easy

Subtracting fractions – Medium

Subtracting fractions – hard

Multiplying fractions – Easy

Multiplying fractions – Medium

Multiplying fractions – Hard

Dividing fractions – Easy

Dividing fractions – Medium

Dividing fractions – Hard

Simplifying ratio – Easy

Simplifying ratio – Medium

Simplifying ratio – Hard

Convert decimals to fractions – Easy

Convert fractions to decimals – Medium

Convert fractions to reoccurring decimals and reoccurring decimals to fractions – Hard

Adding decimals – Easy

Adding decimals – Medium

Adding decimals – hard

Subtracting decimals – Easy

Subtracting decimals – Medium

Subtracting decimals – Hard

Multiplying decimals – Easy

Multiplying decimals – Medium

Multiplying decimals – Hard

Dividing decimals – Easy

Dividing decimals – Medium

Dividing decimals – hard

Non-calculator percentages – Easy

Non-calculator percentages – Medium

Non-calculator percentages – Hard

Calculator percentages – Easy

Calculator percentages – Medium

Calculator percentages – Hard

Compare using percentages – Easy

Compare using percentages – Medium

Compare using percentages – Hard

Reverse percentages – Easy

Reverse percentages – Medium

Reverse percentages – Hard

Whole numbers – Easy

Whole numbers – medium

Whole numbers – hard

Fractions – Easy

Fractions – Medium

Fractions – hard

Decimals – easy

Decimals – Medium

Decimals – hard

Percentages – Easy

Percentages – Medium

Percentages – Hard

Signs – Medium

Indices and Surds

24 Quizzes

Squares, cubes, powers & roots – Easy

Squares, cubes, powers & roots – Medium

Squares, cubes, powers & roots – Hard

Laws of indices – Easy

Laws of indices – Medium

Laws of indices – Hard

Convert from standard form – Easy

Convert from standard form – Medium

Convert from standard form – Hard

Convert to standard form – Easy

Convert to standard form – Medium

Convert to standard form – Hard

Pi calculations – Easy

Pi calculations – Medium

Pi calculations – Hard

Surds – Medium

Algebraic surds (rationalising Surds) – Easy

Algebraic surds (rationalising surds) – Medium

Algebraic surds (rationalising surds) – Hard

Algebraic surds (quadratic surds) – Easy

Algebraic surds (quadratic surds) – Medium

Algebraic Surds (quadratic surds) – Hard

Approximation and Estimation

12 Quizzes

Rounding to decimal places – Easy

Rounding to decimal places – Medium

Rounding to decimal places – Hard

Rounding to significant figures – Easy

Rounding to significant figures – Medium

Rounding to significant figures – Hard

Estimation – Easy

Estimation – Medium

Estimation – Hard

Bounds and accuracy – Easy

Bounds and accuracy – Medium

Bounds and accuracy – Hard

Ratio, Proportion and Rates of Change

18 Quizzes

Sharing into a ratio – Easy

Sharing into a ratio – Medium

Sharing into a ratio – Hard

Unitary ratio – Easy

Unitary ratio – Medium

Unitary ratio – Hard

Direct proportion – Easy

Direct proportion – Medium

Direct proportion – Hard

Indirect proportion – Easy

Indirect proportion – Medium

Indirect proportion – Hard

Interest – Easy

Interest – Medium

Interest – Hard

Exponential growth – Easy

Exponential growth – Hard

Exponential growth – Medium

75 Quizzes

Collecting like terms – Easy

Collecting like terms – Medium

Collecting like terms – Hard

Simplifying algebraic expressions – Easy

Simplifying algebraic expressions – Medium

Simplifying algebraic expressions – Hard

Multiplying out a number in front of a bracket – Easy

Multiplying out a number in front of brackets – Medium

Multiplying out a number in front of a bracket – Hard

Expanding double brackets – Easy

Expanding double brackets – Medium

Expanding double brackets – Hard

Factorising algebraic expressions – Easy

Factorising algebraic expressions – Medium

Factorising algebraic expressions – Hard

Solving quadratic equations – Easy

Solving quadratic equations – Medium

Solving quadratic equations – Hard

Putting numbers into algebraic expression – Easy

Putting numbers into algebraic expression – Medium

Putting numbers into algebraic expression – Hard

Rearranging an algebraic expression to change the subject – Easy

Rearranging an algebraic expression to change the subject – Medium

Rearranging an algebraic expression to change the subject – Hard

Solving equations – Easy

Solving equations – Medium

Solving equations – Hard

Simultaneous equations – Easy

Simultaneous equations – Medium

Simultaneous equations – Hard

Solving equations using graphs – Easy

Solving equations using graphs – Medium

Solving equations using graphs – Hard

Inequalities – Easy

Inequalities – Medium

Inequalities – Hard

Functions – Easy

Functions – Medium

Functions – Hard

Nth term – Easy

Nth term – Medium

Nth term – Hard

Special sequences – Easy

Special sequences – Medium

Special sequences – Hard

Algebraic proof – Easy

Algebraic proof – Medium

Algebraic proof – Hard

Expanding three brackets – Easy

Expanding three brackets – Medium

Expanding three brackets – Hard

Complete the square – Easy

Complete the square – Medium

Complete the square – Hard

Algebraic fractions – Easy

Algebraic fractions – Medium

Algebraic fractions – Hard

Sine rule – Easy

Sine rule – Medium

Sine rule – Hard

Cosine rule – Easy

Cosine rule – Medium

Cosine rule – Hard

Area of non-right angled triangles – Easy

Area of non-right angled triangles – Medium

Area of non-right angled triangles – Hard

Inequalities graphically – Easy

Inequalities graphically – Medium

Inequalities graphically – Hard

Functions 2 (inverse functions) – Easy

Functions 2 (inverse functions) – Medium

Functions 2 (inverse functions) – Hard

Quadratic sequences – Easy

Quadratic sequences – Medium

Quadratic sequences – Hard

Graphs of Equations and Functions

33 Quizzes

Co-ordinates – Easy

Co-ordinates – Medium

Co-ordinates – Hard

Graphic functions – Easy

Graphic functions – Medium

Graphic functions – Hard

Quadratic graphs – Easy

Quadratic graphs – Medium

Quadratic graphs – Hard

y = mx + c #1 (Linear graphs 1) – Easy

y = mx + c #1 (Linear graphs 1) – Medium

y = mx + c #1 (Linear graphs 1) – Hard

y = mx + c #2 (Linear graphs 2) – Easy

y = mx + c #2 (Linear graphs 2) – Medium

y = mx + c #2 (Linear graphs 2) – Hard

Parallel and perpendicular lines on graphs – Easy

Parallel and perpendicular lines on graphs – Medium

Parallel and perpendicular lines on graphs – Hard

Distance time graphs – Easy

Distance time graphs – Medium

Distance time graphs – Hard

Graphs for trigonometry – Easy

Graphs for trigonometry – Medium

Graphs for trigonometry – Hard

Equation of a circle – Easy

Equation of a circle – Medium

Equation of a circle – Hard

Functions 3 (transform functions) – Easy

Functions 3 (transform functions) – Medium

Functions 3 (transform functions) – Hard

Velocity time graphs – Easy

Velocity time graphs – Medium

Velocity time graphs – Hard

21 Quizzes

Compass and ruler – Easy

Compass and ruler – Medium

Compass and ruler – Hard

Basic angles – Easy

Basic angles – Medium

Basic angles – Hard

Angles in triangles – Easy

Angles in triangles – Medium

Angles in triangles – Hard

Angles on parallel lines – Easy

Angles on parallel lines – Medium

Angles on parallel lines – Hard

Interior and exterior angles of polygons – Easy

Interior and exterior angles of polygons – Medium

Interior and exterior angles of polygons – Hard

2D and 3D shapes – Easy

2D and 3D shapes – Medium

2D and 3D shapes – Hard

Circle theorems – Easy

Circle theorems – Medium

Circle theorems – Hard

Congruence and Similarity

12 Quizzes

Translating shapes – Easy

Translating shapes – Medium

Translating shapes – Hard

Congruence – Easy

Congruence – Medium

Congruence – Hard

Scale factors – Easy

Scale factors – Medium

Scale factors – Hard

Vectors – Easy

Vectors – Medium

Vectors – Hard

39 Quizzes

Standard units – Easy

Standard units – Medium

Standard units – Hard

Bearings – Easy

Bearings – Medium

Bearings – Hard

Perimeter – Easy

Perimeter – Medium

Perimeter – Hard

Area and circumference in circles – Easy

Area and circumference of circles – Medium

Area and circumference of circles – Hard

Arcs and sectors – Easy

Arcs and sectors – Medium

Arcs and sectors – Hard

Area of right angled triangles – Easy

Area of right angled triangles – Medium

Area of right angled triangles – Hard

Areas of squares and rectangles – Easy

Areas of squares and rectangles – Medium

Areas of squares and rectangles – Hard

Area of quadrilaterals – Easy

Area of quadrilaterals – Medium

Area of quadrilaterals – Hard

Volumes and surface area – Easy

Volumes and surface area – Medium

Volumes and surface area – Hard

Volumes of cubes and cuboids – Easy

Volumes of cubes and cuboids – Medium

Volumes of cubes and cuboids – Hard

Pythagoras – Easy

Pythagoras – Medium

Pythagoras – Hard

Trigonometry angles – Easy

Trigonometry angles – Medium

Trigonometry angles – Hard

Trigonometry sides – Easy

Trigonometry sides – Medium

Trigonometry sides – Hard

18 Quizzes

Probability tables – Easy

Probability tables – Medium

Probability tables – Hard

Sample spaces – Easy

Sample spaces – Medium

Sample spaces – Hard

Systematic listing – Easy

Systematic listing – Medium

Systematic listing – Hard

Venn diagrams – Easy

Venn diagrams – Medium

Venn diagrams – Hard

Tree diagrams – Easy

Tree diagrams – Medium

Tree diagrams – Hard

Probability of events – Easy

Probability of events – Medium

Probability of events – Hard

33 Quizzes

Population distribution – Easy

Population distribution – Medium

Population distribution – Hard

Frequency tables – Easy

Frequency tables – Medium

Frequency tables – Hard

Bar charts – Easy

Bar charts – Medium

Bar charts – Hard

Pie charts – Easy

Pie charts – Medium

Pie charts – Hard

Pictograms – Easy

Pictograms – Medium

Pictograms – Hard

Line charts – Easy

Line charts – Medium

Line charts – Hard

Compare data using graphs – Easy

Compare data using graphs – Medium

Compare data using graphs – Hard

Averages – Easy

Averages – Medium

Averages – Hard

Scatter graphs – Easy

Scatter graphs – Medium

Scatter graphs – Hard

Histograms – Easy

Histograms – Medium

Histograms – Hard

Box plots – Easy

Box plots – Medium

Box plots – Hard

Return to OCR GCSE Maths – Higher

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