Maths practice
Year 9 maths
Pick a skill to practise. Questions are new every time. 10 free questions a day.
Year 9 lessons and printables → · Year 9 reading →
A. Integer exponents
- A.1 Evaluate powers with positive basesprint
- A.2 Evaluate powers with negative basesprint
- A.3 Zero exponentsprint
- A.4 Negative exponentsprint
- A.5 Negative bases with negative exponentsprint
- A.6 Evaluate powers with any integer exponentprint
- A.7 Product rule for exponents: find the exponentprint
- A.8 Quotient rule for exponents: find the exponentprint
- A.9 Power of a power: find the exponentprint
- A.10 Exponent laws: product, quotient and powerprint
- A.11 Exponent laws with negative exponentsprint
- A.12 Evaluate a product of powers with the same baseprint
- A.13 Evaluate a quotient of powers with the same baseprint
- A.14 Evaluate a power of a powerprint
- A.15 Evaluate powers with a negative exponent in a productprint
- A.16 Write repeated multiplication as a powerprint
- A.17 Powers of fractionsprint
- A.18 Powers of fractions with negative exponentsprint
B. Scientific notation
- B.1 Convert scientific notation to standard form: large numbersprint
- B.2 Convert scientific notation to standard form: small numbersprint
- B.3 Convert standard form to scientific notation: large numbersprint
- B.4 Convert standard form to scientific notation: small numbersprint
- B.5 Scientific notation in real-world measurementsprint
- B.6 Multiply numbers in scientific notationprint
- B.7 Multiply decimals in scientific notationprint
- B.8 Divide numbers in scientific notationprint
- B.9 Divide in scientific notation with negative exponentsprint
- B.10 How many times larger? Compare numbers in scientific notationprint
- B.11 Order numbers in scientific notationprint
- B.12 Order numbers in scientific notation with negative exponentsprint
- B.13 Add numbers in scientific notationprint
- B.14 Subtract numbers in scientific notationprint
- B.15 Compare numbers in scientific notationprint
C. Square roots and cube roots
- C.1 Square roots of perfect squaresprint
- C.2 Cube roots of perfect cubesprint
- C.3 Square roots of fractionsprint
- C.4 Square roots of decimalsprint
- C.5 Add, subtract and multiply square roots of perfect squaresprint
- C.6 Solve equations with squaresprint
- C.7 Solve equations with squares: both solutionsprint
- C.8 Solve equations with cubesprint
- C.9 Solve equations with squares and fractionsprint
- C.10 Side length of a square from its areaprint
- C.11 Edge length of a cube from its volumeprint
- C.12 Side of a square or edge of a cubeprint
- C.13 Simplify square rootsprint
- C.14 Simplify square roots with a coefficientprint
- C.15 Between which two whole numbers is the cube root?print
- C.16 Round cube roots to the nearest whole numberprint
- C.17 Fence around two square gardensprint
D. Rational and irrational numbers
- D.1 Rational or irrational: square rootsprint
- D.2 Rational or irrational: fractions, decimals and rootsprint
- D.3 Write repeating decimals as fractionsprint
- D.4 Between which two whole numbers is the square root?print
- D.5 Round square roots to the nearest whole numberprint
- D.6 Round square roots to the nearest tenthprint
- D.7 Compare a square root with a decimalprint
- D.8 Order irrational numbers and decimalsprint
E. Slope
- E.1 Slope from rise and runprint
- E.2 Slope from two points: positive whole-number slopesprint
- E.3 Slope from two points with negative slopesprint
- E.4 Slope from two points: fractionsprint
- E.5 Slopes of horizontal and vertical linesprint
- E.6 Slope from a table: positive slopesprint
- E.7 Slope from a table with negative slopesprint
- E.8 Slope from a table: fractionsprint
- E.9 Slope of a line from y = mx + bprint
- E.10 Slope of a line from y = mx + b: fractionsprint
- E.11 Slope from the standard form of a lineprint
- E.12 Compare unit rates: who is faster?print
F. Intercepts and equations of lines
- F.1 y-intercept of a line from y = mx + bprint
- F.2 y-intercept of a line with fraction slopeprint
- F.3 Slope and y-intercept togetherprint
- F.4 Slope and y-intercept with fraction slopesprint
- F.5 x-intercept of a line from y = mx + bprint
- F.6 y-intercept from the standard form of a lineprint
- F.7 x-intercept from the standard form of a lineprint
- F.8 Write the equation of a line from the slope and y-interceptprint
- F.9 Write the equation of a line from the slope and a pointprint
- F.10 Write the equation of a line from two pointsprint
G. Functions
- G.1 Is it a function? Ordered pairsprint
- G.2 Evaluate a linear functionprint
- G.3 Evaluate a quadratic functionprint
- G.4 Find the input for a given outputprint
- G.5 Linear or nonlinear? Tablesprint
- G.6 Compare the rates of change of two functionsprint
- G.7 Are two lines parallel?print
- G.8 Domain of a relationprint
- G.9 Range of a relationprint
- G.10 Compare initial values of two functionsprint
- G.11 Linear or nonlinear equationsprint
H. Rate of change and initial value
I. Equations in one variable
J. Systems of equations
- J.1 Is an ordered pair a solution of the system?print
- J.2 How many solutions does the system have?print
- J.3 How many solutions? Systems in standard formprint
- J.4 Solve a system by substitution: both equations in slope-intercept formprint
- J.5 Solve a system by substitution: one equation solved for yprint
- J.6 Solve a system by elimination: opposite coefficientsprint
- J.7 Solve a system by elimination: multiply one equationprint
- J.8 Solve a system of equations in standard formprint
- J.9 Systems word problems: sum and differenceprint
- J.10 Systems word problems: wheels on bicycles and tricyclesprint
- J.11 Systems word problems: one number is a multiple of anotherprint
- J.12 Find x in a system by setting the expressions equalprint
- J.13 Find y in a system by setting the expressions equalprint
- J.14 When do two plans cost the same?print
K. Transformations
- K.1 Translate a pointprint
- K.2 Reflect a point in the x-axis or y-axisprint
- K.3 Reflect a point in an axis or the line y = xprint
- K.4 Rotate a point 180 degrees about the originprint
- K.5 Rotate a point 90 degrees about the originprint
- K.6 Rotate a point 90 or 180 degrees about the originprint
- K.7 Dilate a point by a whole-number scale factorprint
- K.8 Dilate a point by a fractional scale factorprint
- K.9 Find the scale factor of a dilationprint
- K.10 Translate then reflect or rotate a pointprint
- K.11 Identify a translation or a reflectionprint
- K.12 Identify a transformation: translation, reflection, rotation or dilationprint
- K.13 Congruent, similar or neither: compare side lengthsprint
- K.14 Translate a triangle: find the image of a vertexprint
- K.15 Reflect a triangle in an axis: find the image of a vertexprint
- K.16 Reflect a triangle in an axis or the line y = xprint
- K.17 Describe a translation from two pointsprint
- K.18 Which axis was the point reflected in?print
- K.19 Which rotation about the origin?print
- K.20 Lengths after a dilationprint
- K.21 Areas after a dilationprint
- K.22 Find a missing side of similar trianglesprint
L. Angles and polygons
- L.1 Corresponding angles and parallel linesprint
- L.2 Alternate interior angles and parallel linesprint
- L.3 Alternate exterior angles and parallel linesprint
- L.4 Vertical angles at a transversalprint
- L.5 Co-interior angles and parallel linesprint
- L.6 Angles formed by parallel lines and a transversalprint
- L.7 Solve for x: equal angles at a transversalprint
- L.8 Solve for x: co-interior anglesprint
- L.9 Sum of the interior angles of a polygonprint
- L.10 Missing angle in a quadrilateralprint
- L.11 Missing angle in a pentagonprint
- L.12 Missing angle in a hexagonprint
- L.13 Interior angle of a regular polygonprint
- L.14 Interior angle of a regular polygon: round to the nearest tenthprint
- L.15 Exterior angle of a regular polygonprint
- L.16 Number of sides of a regular polygon from its angleprint
- L.17 Are two triangles similar? Compare anglesprint
- L.18 Solve for x: the angles of a triangleprint
- L.19 Solve for x: angles on a straight lineprint
- L.20 Number of diagonals of a polygonprint
- L.21 Number of sides from the sum of the interior anglesprint
- L.22 Missing exterior angle of a polygonprint
M. Pythagorean theorem
- M.1 Find the hypotenuse of a right triangleprint
- M.2 Find a leg of a right triangleprint
- M.3 Find a missing side of a right triangleprint
- M.4 Find the hypotenuse: round to the nearest tenthprint
- M.5 Find a leg: round to the nearest tenthprint
- M.6 Find a missing side: round to the nearest tenthprint
- M.7 Is it a right triangle? Converse of the Pythagorean theoremprint
- M.8 Is it a right triangle? Sides that are closeprint
- M.9 Distance between two pointsprint
- M.10 Distance between two points: round to the nearest tenthprint
- M.11 Pythagorean theorem word problems: laddersprint
- M.12 Pythagorean theorem word problems: diagonals of rectanglesprint
- M.13 Diagonals of rectangles: round to the nearest tenthprint
- M.14 Perimetre of a right triangle from its legsprint
- M.15 Area of a right triangle from the hypotenuse and a legprint
- M.16 Is the triangle acute, right or obtuse?print
- M.17 Is it a Pythagorean triple?print
- M.18 Diagonal of a boxprint
- M.19 Hypotenuse of an isosceles right triangleprint
- M.20 How far from the start? East then northprint
N. Volume of cylinders, cones and spheres
- N.1 Volume of a cylinderprint
- N.2 Volume of a cylinder in terms of πprint
- N.3 Volume of a cylinder from its diametreprint
- N.4 Volume of a cylindrical tankprint
- N.5 Volume of a coneprint
- N.6 Volume of a cone in terms of πprint
- N.7 Volume of a sphereprint
- N.8 Volume of a hemisphereprint
- N.9 Find the height of a cylinder from its volumeprint
- N.10 Find the height of a cylinder or cone from its volumeprint
- N.11 Find the radius of a cylinder from its volumeprint
- N.12 Volume of a silo: a cylinder with a cone on topprint
- N.13 Capacity of a cylinder in millilitresprint
- N.14 Surface area of a cylinderprint
- N.15 Volume of a cone from the matching cylinderprint
O. Bivariate data
- O.1 Describe the association in a scatter plot from dataprint
- O.2 Use a line of best fit to predictprint
- O.3 Use a line of best fit with a decimal slopeprint
- O.4 What the slope of a line of best fit meansprint
- O.5 What the intercept of a line of best fit meansprint
- O.6 Find x for a predicted y on a line of best fitprint
- O.7 Relative frequency in a two-way table: students who play a sportprint
- O.8 Relative frequency in a two-way table: students in the bandprint
- O.9 Relative frequency in a two-way table: all studentsprint
- O.10 Spot the outlier in a scatter plotprint
- O.11 Percent of students from a two-way tableprint
- O.12 Slope of a line of best fit from two pointsprint
P. Equations of lines
Practise on paper too
Each skill comes from a printable math pack with an answer key.