Worksheet library · GCSE
Higher Tier GCSE Maths Worksheets, Questions and Revision
145 original Higher Tier worksheet packs - 1221 printable pages with full mark schemes. Higher-tier GCSE maths worksheet packs: grades 6 to 8, plus the higher cut of the topics that appear on both papers. View any pack in the browser or open the print-ready PDF.
See the method: Recurring Decimals to Fractions
Write 0.636363... (63 recurring) as a fraction in its simplest form.
- Let x = 0.636363...
- Multiply by 100, since two digits recur: 100x = 63.636363...
- Subtract: 100x - x = 63.636363... - 0.636363..., giving 99x = 63.
- Divide by 99: x = 63/99.
- Simplify by dividing by 9: x = 7/11.
1.14H Error Intervals: Higher Tier Practice2p + answers · 21 marks · PDF
1.15H Fractions: Higher Tier Practice2p + answers · 21 marks · PDF
1.16H Estimating: Higher Tier Practice2p + answers · 21 marks · PDF
3.1H Writing and Simplifying Ratio: Higher Tier Practice3p + answers · 30 marks · PDF
3.2H Ratio: Higher Tier Practice3p + answers · 40 marks · PDF
3.3H Proportion: Higher Tier Practice3p + answers · 26 marks · PDF
3.4H Percentages: Higher Tier Practice2p + answers · 30 marks · PDF
1.17H Percentage Change: Higher Tier Practice4p + answers · 50 marks · PDF
3.5H Exchange Rates: Higher Tier Practice4p + answers · 40 marks · PDF
3.6H Conversions and Units: Higher Tier Practice3p + answers · 38 marks · PDF
3.7H Scale Drawings: Higher Tier Practice6p + answers · 50 marks · PDF
3.8H Best Buy Questions: Higher Tier Practice4p + answers · 40 marks · PDF
3.8H-2 Best Buy Questions: Higher Tier Practice (Part 2)5p + answers · 42 marks · PDF
2.5H Substitution: Higher Tier Practice3p + answers · 40 marks · PDF
2.6H Solving Equations: Higher Tier Practice3p + answers · 33 marks · PDF
2.7H Drawing Linear Graphs: Higher Tier Practice4p + answers · 50 marks · PDF
4.6H Area and Circumference of Circles: Higher Tier Practice3p + answers · 40 marks · PDF
4.7H Transformations: Higher Tier Practice3p + answers · 35 marks · PDF
4.8H Area of Compound Shapes: Higher Tier Practice4p + answers · 44 marks · PDF
6.6H Frequency Trees: Higher Tier Practice2p + answers · 17 marks · PDF
6.7H Two Way Tables: Higher Tier Practice5p + answers · 35 marks · PDF
3.9H Compound Interest and Depreciation: Higher Tier Practice3p + answers · 40 marks · PDF
1.18H Indices: Higher Tier Practice3p + answers · 34 marks · PDF
1.19H Prime Factors, HCF and LCM: Higher Tier Practice3p + answers · 29 marks · PDF
3.10H Real Life and Distance Time Graphs: Higher Tier Practice2p + answers · 14 marks · PDF
2.8H Inequalities: Higher Tier Practice3p + answers · 40 marks · PDF
2.9H Forming and Solving Equations: Higher Tier Practice3p + answers · 40 marks · PDF
2.10H Sequences (Nth Term): Higher Tier Practice3p + answers · 24 marks · PDF
2.11H Expanding and Factorising: Higher Tier Practice3p + answers · 35 marks · PDF
4.9H Pythagoras: Higher Tier Practice3p + answers · 36 marks · PDF
4.10H Angles in Parallel Lines: Higher Tier Practice3p + answers · 18 marks · PDF
4.11H Angles in Polygons: Higher Tier Practice3p + answers · 40 marks · PDF
4.12H Surface Area: Higher Tier Practice3p + answers · 30 marks · PDF
4.13H Volume of a Prism: Higher Tier Practice3p + answers · 30 marks · PDF
4.14H Cylinders: Higher Tier Practice2p + answers · 22 marks · PDF
4.15H Loci and Construction: Higher Tier Practice3p + answers · 33 marks · PDF
4.16H Bearings: Higher Tier Practice3p + answers · 40 marks · PDF
4.17H Plans and Elevations: Higher Tier Practice5p + answers · 40 marks · PDF
6.8H Averages from Frequency Tables: Higher Tier Practice3p + answers · 40 marks · PDF
5.4H Probability: Higher Tier Practice4p + answers · 44 marks · PDF
6.9H Scatter Graphs: Higher Tier Practice7p + answers · 48 marks · PDF
3.11H Writing a Ratio as a Fraction or Linear Function: Higher Tier Practice4p + answers · 50 marks · PDF
3.12H Direct and Inverse Proportion: Higher Tier Practice5p + answers · 40 marks · PDF
1.20H Reverse Percentages: Higher Tier Practice3p + answers · 25 marks · PDF
1.21H Standard Form: Higher Tier Practice3p + answers · 27 marks · PDF
3.13H Speed and Density: Higher Tier Practice4p + answers · 40 marks · PDF
2.12H Changing the Subject of a Formula: Higher Tier Practice3p + answers · 26 marks · PDF
2.13H Expanding and Factorising Quadratics: Higher Tier Practice3p + answers · 36 marks · PDF
2.14H Solving Quadratics: Higher Tier Practice3p + answers · 38 marks · PDF
2.15H Drawing Quadratic Graphs: Higher Tier Practice3p + answers · 28 marks · PDF
2.16H Drawing Other Graphs: Cubic/Reciprocal: Higher Tier Practice3p + answers · 30 marks · PDF
2.17H Simultaneous Equations: Higher Tier Practice3p + answers · 40 marks · PDF
2.18H Solving Simultaneous Equations Graphically: Higher Tier Practice3p + answers · 30 marks · PDF
2.19H Gradient of a Line: Higher Tier Practice4p + answers · 40 marks · PDF
2.20H Equation of a Line: Higher Tier Practice3p + answers · 28 marks · PDF
4.18H Spheres and Cones: Higher Tier Practice2p + answers · 21 marks · PDF
4.19H Sector Areas and Arc Lengths: Higher Tier Practice2p + answers · 24 marks · PDF
4.20H Similar Shapes (Lengths): Higher Tier Practice2p + answers · 17 marks · PDF
4.21H SOHCAHTOA (Trigonometry): Higher Tier Practice4p + answers · 40 marks · PDF
4.22H Exact trig values: Higher Tier Practice4p + answers · 40 marks · PDF
4.23H Vectors: Higher Tier Practice4p + answers · 40 marks · PDF
5.5H Probability Trees: Higher Tier Practice3p + answers · 18 marks · PDF
5.6H Venn Diagrams: Higher Tier Practice4p + answers · 40 marks · PDF
1.22 Recurring Decimals to Fractions5p + answers · 61 marks · PDF
1.22d Recurring Decimals to Fractions: Fluency and Exam Drill6p + answers · 69 marks · PDF
1.23 Fractional and Negative Indices6p + answers · 54 marks · PDF
1.23d Fractional and Negative Indices: Fluency and Exam Drill7p + answers · 78 marks · PDF
1.24 The Product Rule for Counting7p + answers · 71 marks · PDF
1.24d The Product Rule for Counting: Fluency and Exam Drill6p + answers · 60 marks · PDF
3.14 Repeated Percentage Change8p + answers · 87 marks · PDF
3.14d Repeated Percentage Change: Fluency and Exam Drill6p + answers · 66 marks · PDF
2.21 Expanding Triple Brackets6p + answers · 65 marks · PDF
2.21d Expanding Triple Brackets: Fluency and Exam Drill6p + answers · 78 marks · PDF
2.22 Parallel and Perpendicular Lines9p + answers · 76 marks · PDF
2.22d Parallel and Perpendicular Lines: Fluency and Exam Drill5p + answers · 65 marks · PDF
2.23 Inequalities on Graphs12p + answers · 57 marks · PDF
2.23d Inequalities on Graphs: Fluency and Exam Drill3p + answers · 21 marks · PDF
4.24 Similar Shapes (Area and Volume)11p + answers · 75 marks · PDF
4.24d Similar Shapes (Area and Volume): Fluency and Exam Drill6p + answers · 59 marks · PDF
4.25 Enlarging with Negative Scale Factors10p + answers · 57 marks · PDF
4.25d Enlarging with Negative Scale Factors: Fluency and Exam Drill7p + answers · 70 marks · PDF
4.26 Circle Theorems17p + answers · 68 marks · PDF
4.26d Circle Theorems: Fluency and Exam Drill20p + answers · 76 marks · PDF
6.10 Cumulative Frequency16p + answers · 62 marks · PDF
6.10d Cumulative Frequency and Box Plots: Fluency and Exam Drill15p + answers · 71 marks · PDF
6.11 Box Plots13p + answers · 68 marks · PDF
6.11d Box Plots: Fluency and Exam Drill11p + answers · 70 marks · PDF
6.12 Capture Recapture6p + answers · 53 marks · PDF
6.12d Capture Recapture: Fluency and Exam Drill3p + answers · 32 marks · PDF
1.25 Surds6p + answers · 68 marks · PDF
1.25d Surds: Fluency and Exam Drill5p + answers · 51 marks · PDF
1.26 Bounds8p + answers · 57 marks · PDF
1.26d Bounds: Fluency and Exam Drill6p + answers · 57 marks · PDF
3.15 Direct and Inverse Proportion Depth8p + answers · 80 marks · PDF
3.15d Direct and Inverse Proportion: Fluency and Exam Drill9p + answers · 86 marks · PDF
2.24 Quadratic Formula7p + answers · 71 marks · PDF
2.24d Quadratic Formula: Fluency and Exam Drill6p + answers · 74 marks · PDF
2.25 Factorising Harder Quadratics6p + answers · 69 marks · PDF
2.25d Factorising Harder Quadratics: Fluency and Exam Drill5p + answers · 62 marks · PDF
2.26 Algebraic Fractions5p + answers · 65 marks · PDF
2.26d Algebraic Fractions: Fluency and Exam Drill6p + answers · 70 marks · PDF
2.27 Rearranging Harder Formulae8p + answers · 65 marks · PDF
2.27d Rearranging Harder Formulae: Fluency and Exam Drill3p + answers · 40 marks · PDF
2.28 Trigonometric and Exponential Graphs13p + answers · 76 marks · PDF
2.28d Trigonometric and Exponential Graphs: Fluency and Exam Drill4p + answers · 38 marks · PDF
2.29 Inverse and Composite Functions6p + answers · 72 marks · PDF
2.29d Inverse and Composite Functions: Fluency and Exam Drill4p + answers · 36 marks · PDF
2.30 Iteration6p + answers · 62 marks · PDF
2.30d Iteration: Fluency and Exam Drill3p + answers · 30 marks · PDF
4.27 Finding the Area of Any Triangle15p + answers · 68 marks · PDF
4.27d Finding the Area of Any Triangle: Fluency and Exam Drill4p + answers · 48 marks · PDF
4.28 The Sine Rule17p + answers · 81 marks · PDF
4.28d The Sine Rule: Fluency and Exam Drill8p + answers · 72 marks · PDF
4.29 The Cosine Rule17p + answers · 74 marks · PDF
4.29d The Cosine Rule: Fluency and Exam Drill8p + answers · 71 marks · PDF
4.30 Congruent Triangles16p + answers · 81 marks · PDF
4.30d Congruent Triangles: Fluency and Exam Drill4p + answers · 36 marks · PDF
4.31 3D Pythagoras and Trigonometry19p + answers · 88 marks · PDF
4.31d 3D Pythagoras and Trigonometry: Fluency and Exam Drill4p + answers · 41 marks · PDF
6.13 Histograms14p + answers · 63 marks · PDF
6.13d Histograms: Fluency and Exam Drill4p + answers · 30 marks · PDF
5.7 Conditional Probability14p + answers · 87 marks · PDF
5.7d Conditional Probability: Fluency and Exam Drill3p + answers · 21 marks · PDF
2.31 Quadratic Simultaneous Equations7p + answers · 95 marks · PDF
2.31d Quadratic Simultaneous Equations: Fluency and Exam Drill4p + answers · 39 marks · PDF
2.32 Transforming Graphs y=f(x)10p + answers · 87 marks · PDF
2.32d Transforming Graphs y=f(x): Fluency and Exam Drill3p + answers · 25 marks · PDF
2.33 Proof9p + answers · 70 marks · PDF
2.33d Proof: Fluency and Exam Drill3p + answers · 30 marks · PDF
2.34 Completing the Square9p + answers · 85 marks · PDF
2.34d Completing the Square: Fluency and Exam Drill6p + answers · 74 marks · PDF
2.35 The Nth Term of a Quadratic Sequence7p + answers · 90 marks · PDF
2.35d The Nth Term of a Quadratic Sequence: Fluency and Exam Drill4p + answers · 37 marks · PDF
2.36 Quadratic Inequalities6p + answers · 80 marks · PDF
2.36d Quadratic Inequalities: Fluency and Exam Drill4p + answers · 45 marks · PDF
3.16 Velocity Time Graphs14p + answers · 75 marks · PDF
3.16d Velocity Time Graphs: Fluency and Exam Drill4p + answers · 32 marks · PDF
4.32 Proof of the Circle Theorems20p + answers · 97 marks · PDF
4.32d Proof of the Circle Theorems: Fluency and Exam Drill2p + answers · 18 marks · PDF
4.33 Perpendicular Lines and the equation of a tangent11p + answers · 96 marks · PDF
4.33d Perpendicular Lines and the equation of a tangent: Fluency and Exam Drill4p + answers · 40 marks · PDF
4.34 Vectors Proof Questions17p + answers · 88 marks · PDF
4.34d Vectors Proof Questions: Fluency and Exam Drill3p + answers · 29 marks · PDF
5.8 Probability Equation Questions8p + answers · 78 marks · PDF
5.8d Probability Equation Questions: Fluency and Exam Drill4p + answers · 40 marks · PDF
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