GCSE Maths practice questions with answers
129 topic sets of GCSE Maths practice questions, each with the working shown when you open the answer. Every set adds an exam-style question and quick checks, and sits alongside the topic page.
Yumio is not affiliated with, endorsed by or connected to AQA, Pearson Edexcel or any other exam board.
Number
Grade 1 Place value
6 questions, 15 checks. Starts: What is the hundreds digit of 2 700?Grade 1 Addition & subtraction
6 questions, 15 checks. Starts: Find 70 + 19.Grade 1 Negative numbers
6 questions, 15 checks. Starts: Which is greater, −2 or −9? Give the greater...Grade 1 Rounding
6 questions, 15 checks. Starts: Round 200 to the nearest 100.Grade 1 BIDMAS
6 questions, 15 checks. Starts: Work out (6 + 4) × 2.Grade 1 Factors & multiples
6 questions, 15 checks. Starts: What is the 5th multiple of 3?Grade 1 Time
6 questions, 15 checks. Starts: What is 7 pm as a 24-hour time? Give...Grade 1 Metric conversions
6 questions, 15 checks. Starts: How many metres are in 5 km?Grade 2 Calculation problems
6 questions, 15 checks. Starts: A room is set out in 6 rows of...Grade 2 Using a calculator
6 questions, 15 checks. Starts: The keys pressed are 28 ÷ 4 × 2....Grade 2 Systematic listing
6 questions, 15 checks. Starts: A lunch deal offers 2 breads and 5 fillings....Grade 3 Error intervals
6 questions, 15 checks. Starts: A length is 8 cm to the nearest 0.1...Grade 3 Fractions
6 questions, 15 checks. Starts: Work out 2/3 × 3/4.Grade 3 Estimating
6 questions, 15 checks. Starts: Estimate 412 ÷ 78 by rounding each number to...Grade 3 Non-calculator arithmetic tricks
6 questions, 15 checks. Starts: Work out 21 × 8 by using 20 ×...Grade 4 Compound interest & depreciation
6 questions, 15 checks. Starts: An item worth £500 depreciates by 20% a year...Grade 4 Prime factors, HCF & LCM
6 questions, 15 checks. Starts: Find the HCF of 8, 12 and 20.Grade 5 Reverse percentages
6 questions, 15 checks. Starts: After a 50% decrease the price is £30. Work...Grade 5 Standard form
6 questions, 15 checks. Starts: Work out (5×103)×(2×102). Give your answer in standard form.Grade 6 Recurring decimals to fractions
6 questions, 15 checks. Starts: Convert 0.555... to a fraction in its simplest form.Grade 6 The product rule for counting
6 questions, 15 checks. Starts: Sue packs 5 shirts, 2 trousers and 2 hats....Grade 6 Repeated percentage change
6 questions, 15 checks. Starts: What is the overall multiplier for a 10% increase...Grade 7 Surds
6 questions, 15 checks. Starts: Simplify the surd √12.Grade 7 Bounds
6 questions, 15 checks. Starts: Give the lower bound of a length measured as...
6 questions, 15 checks. Starts: What is the hundreds digit of 2 700?Grade 1 Addition & subtraction
6 questions, 15 checks. Starts: Find 70 + 19.Grade 1 Negative numbers
6 questions, 15 checks. Starts: Which is greater, −2 or −9? Give the greater...Grade 1 Rounding
6 questions, 15 checks. Starts: Round 200 to the nearest 100.Grade 1 BIDMAS
6 questions, 15 checks. Starts: Work out (6 + 4) × 2.Grade 1 Factors & multiples
6 questions, 15 checks. Starts: What is the 5th multiple of 3?Grade 1 Time
6 questions, 15 checks. Starts: What is 7 pm as a 24-hour time? Give...Grade 1 Metric conversions
6 questions, 15 checks. Starts: How many metres are in 5 km?Grade 2 Calculation problems
6 questions, 15 checks. Starts: A room is set out in 6 rows of...Grade 2 Using a calculator
6 questions, 15 checks. Starts: The keys pressed are 28 ÷ 4 × 2....Grade 2 Systematic listing
6 questions, 15 checks. Starts: A lunch deal offers 2 breads and 5 fillings....Grade 3 Error intervals
6 questions, 15 checks. Starts: A length is 8 cm to the nearest 0.1...Grade 3 Fractions
6 questions, 15 checks. Starts: Work out 2/3 × 3/4.Grade 3 Estimating
6 questions, 15 checks. Starts: Estimate 412 ÷ 78 by rounding each number to...Grade 3 Non-calculator arithmetic tricks
6 questions, 15 checks. Starts: Work out 21 × 8 by using 20 ×...Grade 4 Compound interest & depreciation
6 questions, 15 checks. Starts: An item worth £500 depreciates by 20% a year...Grade 4 Prime factors, HCF & LCM
6 questions, 15 checks. Starts: Find the HCF of 8, 12 and 20.Grade 5 Reverse percentages
6 questions, 15 checks. Starts: After a 50% decrease the price is £30. Work...Grade 5 Standard form
6 questions, 15 checks. Starts: Work out (5×103)×(2×102). Give your answer in standard form.Grade 6 Recurring decimals to fractions
6 questions, 15 checks. Starts: Convert 0.555... to a fraction in its simplest form.Grade 6 The product rule for counting
6 questions, 15 checks. Starts: Sue packs 5 shirts, 2 trousers and 2 hats....Grade 6 Repeated percentage change
6 questions, 15 checks. Starts: What is the overall multiplier for a 10% increase...Grade 7 Surds
6 questions, 15 checks. Starts: Simplify the surd √12.Grade 7 Bounds
6 questions, 15 checks. Starts: Give the lower bound of a length measured as...
Algebra
Grade 1 Coordinates
6 questions, 15 checks. Starts: A point is at (3, 5). It moves 2...Grade 2 Simplifying algebra
6 questions, 15 checks. Starts: Simplify 6p + 3q − 3p.Grade 2 Writing an expression
6 questions, 15 checks. Starts: Write an expression for 7 more than n.Grade 2 Function machines
6 questions, 15 checks. Starts: A function machine does × 2 then − 5....Grade 2 Sequences: rules and special sequences
7 questions, 16 checks. Starts: The first term of a sequence is 2 and...Grade 3 Substitution
6 questions, 15 checks. Starts: x = 4. Work out 2x − 1.Grade 3 Solving linear equations
6 questions, 15 checks. Starts: Solve 3x + 5 = 20.Grade 3 Drawing linear graphs
6 questions, 15 checks. Starts: The line is y = 3x − 1. What...Grade 4 Real-life & distance–time graphs
6 questions, 15 checks. Starts: A straight section of a distance-time graph covers 27...Grade 4 Inequalities
6 questions, 15 checks. Starts: Solve 3x − 2 < 7.Grade 4 Forming & solving equations
6 questions, 15 checks. Starts: Sam and Tia have 20 sweets altogether. Tia has...Grade 4 Sequences (nth term)
6 questions, 15 checks. Starts: An arithmetic sequence starts at 5 and goes up...Grade 5 Changing the subject of a formula
6 questions, 15 checks. Starts: Make x the subject of y=5x+10.Grade 5 Expanding & factorising quadratics
6 questions, 15 checks. Starts: Expand (x+6)(x+1).Grade 5 Solving quadratics by factorising
6 questions, 15 checks. Starts: Solve x2+7x+10=0.Grade 5 Drawing quadratic graphs
6 questions, 15 checks. Starts: On the curve y=x2-9, work out the value of...Grade 5 Cubic and reciprocal graphs
6 questions, 15 checks. Starts: On the curve y=x3, work out the value of...Grade 5 Simultaneous equations
6 questions, 15 checks. Starts: Solve 5x+y=12 and 2x+y=6.Grade 5 Simultaneous equations graphically
6 questions, 15 checks. Starts: Do the lines meet: y=x+1 and y=5x?Grade 5 Midpoint of a line segment
6 questions, 15 checks. Starts: Work out the coordinates of the midpoint of (2,...Grade 5 Gradient of a line
6 questions, 15 checks. Starts: Work out the gradient of the line through (0,...Grade 5 Equation of a line
6 questions, 15 checks. Starts: Write down the equation of the line with gradient...Grade 5 Exam technique: “show that” questions
6 questions, 15 checks. Starts: Expand and simplify 4(x+2)-x.Grade 6 Inequalities on graphs
6 questions, 15 checks. Starts: Is the point (2, 5) above, below or on...Grade 7 The quadratic formula
6 questions, 15 checks. Starts: x² + 6x - 2 = 0 will not...Grade 7 Harder factorising (ax² + bx + c)
6 questions, 15 checks. Starts: Factorise 3x²+10x+3.Grade 7 Harder rearranging formulae
6 questions, 15 checks. Starts: Make x the subject of y=2x-5.Grade 7 Trigonometric & exponential graphs
6 questions, 15 checks. Starts: On the sine graph, find the value at 0...Grade 7 Iteration
6 questions, 15 checks. Starts: Use x = square root of (7 - x),...Grade 7 Geometric sequences
6 questions, 15 checks. Starts: A geometric sequence starts 3, 12, 48. What is...Grade 8 Completing the square
6 questions, 15 checks. Starts: Find the minimum value of x2+2x+6.Grade 8 Quadratic simultaneous equations
6 questions, 15 checks. Starts: y=x2+4 and y=5 meet at which points?Grade 8 Transforming graphs y = f(x)
6 questions, 15 checks. Starts: How many units up does y=f(x)+4 move each point?Grade 8 The nth term of a quadratic sequence
6 questions, 15 checks. Starts: What is the second difference of 2, 8, 18,...Grade 8 Velocity–time graphs
6 questions, 15 checks. Starts: Velocity rises from 2 m/s to 8 m/s in...Grade 8 Gradient of a curve
6 questions, 15 checks. Starts: A car is 40 m from a post after...Grade 8 Equation of a circle
6 questions, 15 checks. Starts: State the centre of the circle (x - 4)2...
6 questions, 15 checks. Starts: A point is at (3, 5). It moves 2...Grade 2 Simplifying algebra
6 questions, 15 checks. Starts: Simplify 6p + 3q − 3p.Grade 2 Writing an expression
6 questions, 15 checks. Starts: Write an expression for 7 more than n.Grade 2 Function machines
6 questions, 15 checks. Starts: A function machine does × 2 then − 5....Grade 2 Sequences: rules and special sequences
7 questions, 16 checks. Starts: The first term of a sequence is 2 and...Grade 3 Substitution
6 questions, 15 checks. Starts: x = 4. Work out 2x − 1.Grade 3 Solving linear equations
6 questions, 15 checks. Starts: Solve 3x + 5 = 20.Grade 3 Drawing linear graphs
6 questions, 15 checks. Starts: The line is y = 3x − 1. What...Grade 4 Real-life & distance–time graphs
6 questions, 15 checks. Starts: A straight section of a distance-time graph covers 27...Grade 4 Inequalities
6 questions, 15 checks. Starts: Solve 3x − 2 < 7.Grade 4 Forming & solving equations
6 questions, 15 checks. Starts: Sam and Tia have 20 sweets altogether. Tia has...Grade 4 Sequences (nth term)
6 questions, 15 checks. Starts: An arithmetic sequence starts at 5 and goes up...Grade 5 Changing the subject of a formula
6 questions, 15 checks. Starts: Make x the subject of y=5x+10.Grade 5 Expanding & factorising quadratics
6 questions, 15 checks. Starts: Expand (x+6)(x+1).Grade 5 Solving quadratics by factorising
6 questions, 15 checks. Starts: Solve x2+7x+10=0.Grade 5 Drawing quadratic graphs
6 questions, 15 checks. Starts: On the curve y=x2-9, work out the value of...Grade 5 Cubic and reciprocal graphs
6 questions, 15 checks. Starts: On the curve y=x3, work out the value of...Grade 5 Simultaneous equations
6 questions, 15 checks. Starts: Solve 5x+y=12 and 2x+y=6.Grade 5 Simultaneous equations graphically
6 questions, 15 checks. Starts: Do the lines meet: y=x+1 and y=5x?Grade 5 Midpoint of a line segment
6 questions, 15 checks. Starts: Work out the coordinates of the midpoint of (2,...Grade 5 Gradient of a line
6 questions, 15 checks. Starts: Work out the gradient of the line through (0,...Grade 5 Equation of a line
6 questions, 15 checks. Starts: Write down the equation of the line with gradient...Grade 5 Exam technique: “show that” questions
6 questions, 15 checks. Starts: Expand and simplify 4(x+2)-x.Grade 6 Inequalities on graphs
6 questions, 15 checks. Starts: Is the point (2, 5) above, below or on...Grade 7 The quadratic formula
6 questions, 15 checks. Starts: x² + 6x - 2 = 0 will not...Grade 7 Harder factorising (ax² + bx + c)
6 questions, 15 checks. Starts: Factorise 3x²+10x+3.Grade 7 Harder rearranging formulae
6 questions, 15 checks. Starts: Make x the subject of y=2x-5.Grade 7 Trigonometric & exponential graphs
6 questions, 15 checks. Starts: On the sine graph, find the value at 0...Grade 7 Iteration
6 questions, 15 checks. Starts: Use x = square root of (7 - x),...Grade 7 Geometric sequences
6 questions, 15 checks. Starts: A geometric sequence starts 3, 12, 48. What is...Grade 8 Completing the square
6 questions, 15 checks. Starts: Find the minimum value of x2+2x+6.Grade 8 Quadratic simultaneous equations
6 questions, 15 checks. Starts: y=x2+4 and y=5 meet at which points?Grade 8 Transforming graphs y = f(x)
6 questions, 15 checks. Starts: How many units up does y=f(x)+4 move each point?Grade 8 The nth term of a quadratic sequence
6 questions, 15 checks. Starts: What is the second difference of 2, 8, 18,...Grade 8 Velocity–time graphs
6 questions, 15 checks. Starts: Velocity rises from 2 m/s to 8 m/s in...Grade 8 Gradient of a curve
6 questions, 15 checks. Starts: A car is 40 m from a post after...Grade 8 Equation of a circle
6 questions, 15 checks. Starts: State the centre of the circle (x - 4)2...
Statistics
Grade 1 Pictograms
6 questions, 15 checks. Starts: In a pictogram each symbol stands for 4 tickets....Grade 2 Averages
6 questions, 15 checks. Starts: Find the range of 2, 15 and 6.Grade 2 Pie charts
6 questions, 15 checks. Starts: Three slices of a pie chart have angles 110°,...Grade 2 Bar charts
6 questions, 15 checks. Starts: A bar chart shows how pupils travel to school....Grade 2 Stem and leaf
6 questions, 15 checks. Starts: The marks of some pupils are shown in a...Grade 2 Frequency polygons
6 questions, 15 checks. Starts: A class runs from 30 to 34 and has...Grade 3 Frequency trees
6 questions, 15 checks. Starts: 24 people said yes. 10 of them were under...Grade 3 Two-way tables
6 questions, 15 checks. Starts: In one row of a two-way table, 6 people...Grade 3 Line graphs and time series
6 questions, 16 checks. Starts: Monthly rainfall (mm) is January 60, February 75, March...Grade 4 Averages from frequency tables
6 questions, 15 checks. Starts: The frequency table shows the number of siblings of...Grade 4 Scatter graphs
6 questions, 15 checks. Starts: A line of best fit passes through (30, 25)...Grade 4 Sampling & bias
6 questions, 15 checks. Starts: In a fair random sample of 40 students, 18...Grade 6 Cumulative frequency
6 questions, 15 checks. Starts: The total frequency is 30. The curve reads 22...Grade 6 Box plots
6 questions, 15 checks. Starts: Ordered data: 3, 6, 8, 11, 13, 16, 19....Grade 6 Capture recapture
6 questions, 15 checks. Starts: 50 were tagged. A later sample of 40 contains...Grade 7 Histograms
6 questions, 15 checks. Starts: A histogram bar has frequency density 3 and class...
6 questions, 15 checks. Starts: In a pictogram each symbol stands for 4 tickets....Grade 2 Averages
6 questions, 15 checks. Starts: Find the range of 2, 15 and 6.Grade 2 Pie charts
6 questions, 15 checks. Starts: Three slices of a pie chart have angles 110°,...Grade 2 Bar charts
6 questions, 15 checks. Starts: A bar chart shows how pupils travel to school....Grade 2 Stem and leaf
6 questions, 15 checks. Starts: The marks of some pupils are shown in a...Grade 2 Frequency polygons
6 questions, 15 checks. Starts: A class runs from 30 to 34 and has...Grade 3 Frequency trees
6 questions, 15 checks. Starts: 24 people said yes. 10 of them were under...Grade 3 Two-way tables
6 questions, 15 checks. Starts: In one row of a two-way table, 6 people...Grade 3 Line graphs and time series
6 questions, 16 checks. Starts: Monthly rainfall (mm) is January 60, February 75, March...Grade 4 Averages from frequency tables
6 questions, 15 checks. Starts: The frequency table shows the number of siblings of...Grade 4 Scatter graphs
6 questions, 15 checks. Starts: A line of best fit passes through (30, 25)...Grade 4 Sampling & bias
6 questions, 15 checks. Starts: In a fair random sample of 40 students, 18...Grade 6 Cumulative frequency
6 questions, 15 checks. Starts: The total frequency is 30. The curve reads 22...Grade 6 Box plots
6 questions, 15 checks. Starts: Ordered data: 3, 6, 8, 11, 13, 16, 19....Grade 6 Capture recapture
6 questions, 15 checks. Starts: 50 were tagged. A later sample of 40 contains...Grade 7 Histograms
6 questions, 15 checks. Starts: A histogram bar has frequency density 3 and class...
Geometry & measures
Grade 2 Angles
6 questions, 15 checks. Starts: Angles around a point are 80°, 110° and the...Grade 2 Area & perimeter
6 questions, 15 checks. Starts: A triangle has base 10 cm and height 6...Grade 3 Conversions & units
6 questions, 15 checks. Starts: How many centimetres are in 7 metres?Grade 3 Scale drawings
6 questions, 15 checks. Starts: A plan uses the scale 1:50. A wall is...Grade 3 Area and circumference of circles
6 questions, 15 checks. Starts: A circle has diameter 8. Its area is a...Grade 3 Transformations
6 questions, 15 checks. Starts: The point (3, 7) is reflected in the x-axis....Grade 3 Area of compound shapes
6 questions, 15 checks. Starts: A rectangle is 10 cm by 6 cm. A...Grade 4 Pythagoras
6 questions, 15 checks. Starts: Find the distance between the coordinates (1, 2) and...Grade 4 Angles in parallel lines
6 questions, 15 checks. Starts: Two parallel lines are cut by a transversal. Angle...Grade 4 Angles in polygons
6 questions, 15 checks. Starts: A regular polygon has 9 sides. Work out the...Grade 4 Surface area
6 questions, 15 checks. Starts: A triangular prism has a right-angled triangle for its...Grade 4 Volume of a prism
6 questions, 15 checks. Starts: A prism has a cross-section of area 10 cm²...Grade 4 Cylinders
6 questions, 15 checks. Starts: A cylinder has diameter 14 cm and height 6...Grade 4 Loci and constructions
6 questions, 15 checks. Starts: A point P is always 14 cm from a...Grade 4 Bearings
6 questions, 15 checks. Starts: From north, a bearing of 090 points which compass...Grade 4 Plans & elevations
6 questions, 15 checks. Starts: A cuboid is 10 cm wide (across the front),...Grade 5 Spheres & cones
6 questions, 15 checks. Starts: Work out the volume of a sphere of radius...Grade 5 Sectors and arcs
6 questions, 15 checks. Starts: Work out the area of a sector with angle...Grade 5 Similar shapes: lengths
6 questions, 15 checks. Starts: A shape is enlarged by length scale factor 5....Grade 5 SOHCAHTOA (trigonometry)
6 questions, 15 checks. Starts: Opposite 8 and hypotenuse 17. Find the sine of...Grade 5 Exact trig values
6 questions, 15 checks. Starts: What is the exact value of sin 60?Grade 5 Vectors
6 questions, 15 checks. Starts: Add the vectors (0, 2) and (5, 1).Grade 6 Similar shapes: area & volume
6 questions, 15 checks. Starts: Length scale factor 6. What is the area scale...Grade 6 Enlarging with negative scale factors
6 questions, 15 checks. Starts: Enlarge the point (2, 1) with scale factor -3...Grade 6 Circle theorems
6 questions, 15 checks. Starts: Angle at the centre is 70 degrees. Find the...Grade 7 Area of any triangle
6 questions, 15 checks. Starts: Find the area of a parallelogram with sides 6...Grade 7 The sine rule
6 questions, 15 checks. Starts: In triangle ABC, side a is 8 cm, side...Grade 7 The cosine rule
6 questions, 15 checks. Starts: Use the cosine rule with included angle 60 degrees,...Grade 7 Congruent triangles
6 questions, 15 checks. Starts: A triangle has two angles and the included side....Grade 7 Combined transformations
6 questions, 15 checks. Starts: The point (1, 6) is translated by (2, -3)...Grade 7 3D Pythagoras & trigonometry
6 questions, 15 checks. Starts: A cuboid has base 6 by 8 and height...Grade 8 Circle theorem proofs
7 questions, 15 checks. Starts: Centre angle 80 degrees. Give the edge angle on...Grade 8 Equation of a tangent
6 questions, 15 checks. Starts: The radius to (5, 12) has which gradient?Grade 8 Vector proof questions
6 questions, 15 checks. Starts: Vector p = (1, 2) and q = (4,...
6 questions, 15 checks. Starts: Angles around a point are 80°, 110° and the...Grade 2 Area & perimeter
6 questions, 15 checks. Starts: A triangle has base 10 cm and height 6...Grade 3 Conversions & units
6 questions, 15 checks. Starts: How many centimetres are in 7 metres?Grade 3 Scale drawings
6 questions, 15 checks. Starts: A plan uses the scale 1:50. A wall is...Grade 3 Area and circumference of circles
6 questions, 15 checks. Starts: A circle has diameter 8. Its area is a...Grade 3 Transformations
6 questions, 15 checks. Starts: The point (3, 7) is reflected in the x-axis....Grade 3 Area of compound shapes
6 questions, 15 checks. Starts: A rectangle is 10 cm by 6 cm. A...Grade 4 Pythagoras
6 questions, 15 checks. Starts: Find the distance between the coordinates (1, 2) and...Grade 4 Angles in parallel lines
6 questions, 15 checks. Starts: Two parallel lines are cut by a transversal. Angle...Grade 4 Angles in polygons
6 questions, 15 checks. Starts: A regular polygon has 9 sides. Work out the...Grade 4 Surface area
6 questions, 15 checks. Starts: A triangular prism has a right-angled triangle for its...Grade 4 Volume of a prism
6 questions, 15 checks. Starts: A prism has a cross-section of area 10 cm²...Grade 4 Cylinders
6 questions, 15 checks. Starts: A cylinder has diameter 14 cm and height 6...Grade 4 Loci and constructions
6 questions, 15 checks. Starts: A point P is always 14 cm from a...Grade 4 Bearings
6 questions, 15 checks. Starts: From north, a bearing of 090 points which compass...Grade 4 Plans & elevations
6 questions, 15 checks. Starts: A cuboid is 10 cm wide (across the front),...Grade 5 Spheres & cones
6 questions, 15 checks. Starts: Work out the volume of a sphere of radius...Grade 5 Sectors and arcs
6 questions, 15 checks. Starts: Work out the area of a sector with angle...Grade 5 Similar shapes: lengths
6 questions, 15 checks. Starts: A shape is enlarged by length scale factor 5....Grade 5 SOHCAHTOA (trigonometry)
6 questions, 15 checks. Starts: Opposite 8 and hypotenuse 17. Find the sine of...Grade 5 Exact trig values
6 questions, 15 checks. Starts: What is the exact value of sin 60?Grade 5 Vectors
6 questions, 15 checks. Starts: Add the vectors (0, 2) and (5, 1).Grade 6 Similar shapes: area & volume
6 questions, 15 checks. Starts: Length scale factor 6. What is the area scale...Grade 6 Enlarging with negative scale factors
6 questions, 15 checks. Starts: Enlarge the point (2, 1) with scale factor -3...Grade 6 Circle theorems
6 questions, 15 checks. Starts: Angle at the centre is 70 degrees. Find the...Grade 7 Area of any triangle
6 questions, 15 checks. Starts: Find the area of a parallelogram with sides 6...Grade 7 The sine rule
6 questions, 15 checks. Starts: In triangle ABC, side a is 8 cm, side...Grade 7 The cosine rule
6 questions, 15 checks. Starts: Use the cosine rule with included angle 60 degrees,...Grade 7 Congruent triangles
6 questions, 15 checks. Starts: A triangle has two angles and the included side....Grade 7 Combined transformations
6 questions, 15 checks. Starts: The point (1, 6) is translated by (2, -3)...Grade 7 3D Pythagoras & trigonometry
6 questions, 15 checks. Starts: A cuboid has base 6 by 8 and height...Grade 8 Circle theorem proofs
7 questions, 15 checks. Starts: Centre angle 80 degrees. Give the edge angle on...Grade 8 Equation of a tangent
6 questions, 15 checks. Starts: The radius to (5, 12) has which gradient?Grade 8 Vector proof questions
6 questions, 15 checks. Starts: Vector p = (1, 2) and q = (4,...
Probability
Grade 2 Probability
6 questions, 15 checks. Starts: The probability that a bus is late is 3/8....Grade 4 Combined events
6 questions, 15 checks. Starts: P(A) = 2/10. What is P(not A)? Give a...Grade 4 Relative frequency
6 questions, 16 checks. Starts: A counter is picked 25 times and is red...Grade 5 Probability trees
6 questions, 15 checks. Starts: A tree-diagram path has branches 3/4 and 2/5. What...Grade 5 Venn diagrams
6 questions, 15 checks. Starts: Only A = 4, both = 4, only B...Grade 5 Sets and set notation
6 questions, 16 checks. Starts: A = 3, 6, 9, 12. Work out n(A).Grade 7 Conditional probability
6 questions, 15 checks. Starts: Two counters are drawn without replacement. 7 red and...Grade 8 Probability equation questions
6 questions, 15 checks. Starts: A bag has n counters, 6 of them red....
6 questions, 15 checks. Starts: The probability that a bus is late is 3/8....Grade 4 Combined events
6 questions, 15 checks. Starts: P(A) = 2/10. What is P(not A)? Give a...Grade 4 Relative frequency
6 questions, 16 checks. Starts: A counter is picked 25 times and is red...Grade 5 Probability trees
6 questions, 15 checks. Starts: A tree-diagram path has branches 3/4 and 2/5. What...Grade 5 Venn diagrams
6 questions, 15 checks. Starts: Only A = 4, both = 4, only B...Grade 5 Sets and set notation
6 questions, 16 checks. Starts: A = 3, 6, 9, 12. Work out n(A).Grade 7 Conditional probability
6 questions, 15 checks. Starts: Two counters are drawn without replacement. 7 red and...Grade 8 Probability equation questions
6 questions, 15 checks. Starts: A bag has n counters, 6 of them red....
Ratio, proportion & rates of change
Grade 3 Writing & simplifying ratio
6 questions, 15 checks. Starts: Write the ratio 15:18 in its simplest form.Grade 3 Ratio
6 questions, 15 checks. Starts: The ratio is 2:3. What fraction of the whole...Grade 3 Proportion
6 questions, 15 checks. Starts: 6 decorators take 4 days. How many days do...Grade 3 Exchange rates
6 questions, 15 checks. Starts: £1 buys 3 dollars. How many pounds do you...Grade 3 Best buy questions
6 questions, 15 checks. Starts: One shop charges £10 for 5 pens. Another charges...Grade 5 Ratio as a fraction or linear function
6 questions, 15 checks. Starts: y = 5x + 4. When x = 1,...Grade 5 Direct & inverse proportion
6 questions, 15 checks. Starts: 2 workers take 10 hours to finish a job....Grade 5 Speed, density and pressure
6 questions, 15 checks. Starts: A cyclist travels 100 km in 4 hours. Work...Grade 6 Problem-solving with ratio & algebra
6 questions, 15 checks. Starts: 5 pens and 5 pencils cost £30. A pen...Grade 7 Direct & inverse proportion (algebraic)
6 questions, 15 checks. Starts: y is proportional to the square of x. y...
6 questions, 15 checks. Starts: Write the ratio 15:18 in its simplest form.Grade 3 Ratio
6 questions, 15 checks. Starts: The ratio is 2:3. What fraction of the whole...Grade 3 Proportion
6 questions, 15 checks. Starts: 6 decorators take 4 days. How many days do...Grade 3 Exchange rates
6 questions, 15 checks. Starts: £1 buys 3 dollars. How many pounds do you...Grade 3 Best buy questions
6 questions, 15 checks. Starts: One shop charges £10 for 5 pens. Another charges...Grade 5 Ratio as a fraction or linear function
6 questions, 15 checks. Starts: y = 5x + 4. When x = 1,...Grade 5 Direct & inverse proportion
6 questions, 15 checks. Starts: 2 workers take 10 hours to finish a job....Grade 5 Speed, density and pressure
6 questions, 15 checks. Starts: A cyclist travels 100 km in 4 hours. Work...Grade 6 Problem-solving with ratio & algebra
6 questions, 15 checks. Starts: 5 pens and 5 pencils cost £30. A pen...Grade 7 Direct & inverse proportion (algebraic)
6 questions, 15 checks. Starts: y is proportional to the square of x. y...
Need the method first? See GCSE Maths worked examples and methods. Sitting a whole paper? Try the practice papers.