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Math 9

Cambridge Lower Secondary Maths Stage 9

Grade 8 · 15 units · 56 sections · 1,871 questions

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Unit 1: Number and calculation →

  1. 1.1Irrational numberse.g. Is ∛125 an integer or a surd? · 35 questionsPractice
  2. 1.2Standard forme.g. Write 0.000 0505 in standard form · 43 questionsPractice
  3. 1.3Indicese.g. Write 1/64 as a power of 4 · 53 questionsPractice

Unit 2: Expressions and formulae →

  1. 2.1Substituting into expressionse.g. Find cd² + ab when a = 2, b = −3, c = 4, d = −5 · 53 questionsPractice
  2. 2.2Constructing expressionse.g. Divide n by 4, then subtract 5 · 66 questionsPractice
  3. 2.3Expressions and indicese.g. Simplify 15c⁶ ÷ 5c³ · 59 questionsPractice
  4. 2.4Expanding the product of two linear expressionse.g. Expand (2x + 1)(3x + 2) · 41 questionsPractice
  5. 2.5Simplifying algebraic fractionse.g. Simplify 2y/3 − 4y/9 · 62 questionsPractice
  6. 2.6Deriving and using formulaee.g. Make n the subject of p = 3n − 8 · 52 questionsPractice

Unit 3: Decimals, percentages and rounding →

  1. 3.1Multiplying and dividing by powers of 10e.g. 2.8 × 10⁻² and 34 ÷ 10⁻² · 57 questionsPractice
  2. 3.2Multiplying and dividing decimalse.g. 0.08 ÷ 0.004 · 83 questionsPractice
  3. 3.3Understanding compound percentagese.g. $800 increased by 25%, then decreased by 40% · 39 questionsPractice
  4. 3.4Understanding upper and lower boundse.g. Rounded to the nearest 10 it is 90: 85 ≤ x < 95 · 40 questionsPractice

Unit 4: Equations and inequalities →

  1. 4.1Constructing and solving equationse.g. Solve 3(y + 5) = 2(20 − y) · 51 questionsPractice
  2. 4.2Simultaneous equationse.g. y = 2x − 1 and y = x + 5 · 30 questionsPractice
  3. 4.3Inequalitiese.g. Read the solution set from a number line · 50 questionsPractice

Unit 5: Angles →

  1. 5.1Calculating anglese.g. Which could be the angles of a quadrilateral? · 13 questionsPractice
  2. 5.2Interior angles of polygonse.g. Could the interior angles of a polygon add up to 800°? · 22 questionsPractice
  3. 5.3Exterior angles of polygonse.g. Could the exterior angle of a regular polygon be 50°? · 18 questionsPractice
  4. 5.4Constructionse.g. Inscribe a regular hexagon in a circle · 9 questionsPractice
  5. 5.5Pythagoras' theoreme.g. The diagonal of a 5.5 cm by 8.5 cm rectangle · 16 questionsPractice

Unit 6: Statistical investigations →

  1. 6.1Data collection and samplinge.g. Which is the best way to choose a sample? · 12 questionsPractice
  2. 6.2Biase.g. A representative sample of 60 when 55% are female · 17 questionsPractice

Unit 7: Shapes and measurements →

  1. 7.1Circumference and area of a circlee.g. Perimeter of a semicircle of diameter 12 cm · 38 questionsPractice
  2. 7.2Areas of compound shapese.g. Area of an L-shape · 40 questionsPractice
  3. 7.3Large and small unitse.g. How many kilowatts in 1 megawatt? · 30 questionsPractice

Unit 8: Fractions →

  1. 8.1Fractions and recurring decimalse.g. Is 48 minutes, as a fraction of an hour, terminating? · 34 questionsPractice
  2. 8.2Fractions and the correct order of operationse.g. 3 + 2/3 × 4/5 · 25 questionsPractice
  3. 8.3Multiplying fractionse.g. 3/4 × 20 by cancelling common factors · 55 questionsPractice
  4. 8.4Dividing fractionse.g. 12 ÷ 2/3 = 12 × 3/2 · 47 questionsPractice
  5. 8.5Making calculations easiere.g. 3.5 × 1.5 × 12 · 28 questionsPractice

Unit 9: Sequences and functions →

  1. 9.1Generating sequencese.g. First term 8, rule 'subtract 3, then multiply by 2' · 46 questionsPractice
  2. 9.2Using the nth terme.g. The 10th term of n² + 5n + 3 · 45 questionsPractice
  3. 9.3Representing functionse.g. x → square → × 4 → y · 29 questionsPractice

Unit 10: Graphs →

  1. 10.1Functionse.g. x 2 kg weights and y 4 kg weights weigh 22 kg · 22 questionsPractice
  2. 10.2Plotting graphse.g. Where does 3x + 2y = 18 cross the axes? · 25 questionsPractice
  3. 10.3Gradient and intercepte.g. Gradient of 3x + 5y = 10 · 26 questionsPractice
  4. 10.4Interpreting graphse.g. Equation of a conversion graph · 36 questionsPractice

Unit 11: Ratio and proportion →

  1. 11.1Using ratiose.g. Share in the ratio 1 : 2 : 3 · 27 questionsPractice
  2. 11.2Direct and inverse proportione.g. 6 hours at 80 km/h; how long at 120 km/h? · 34 questionsPractice

Unit 12: Probability →

  1. 12.1Mutually exclusive eventse.g. P(neither silver nor black) · 28 questionsPractice
  2. 12.2Independent eventse.g. A sock is taken and not replaced · 23 questionsPractice
  3. 12.3Combined eventse.g. P(both pass) · 24 questionsPractice
  4. 12.4Chance experimentse.g. Relative frequency of 2 heads · 18 questionsPractice

Unit 13: Position and transformation →

  1. 13.1Bearings and scale drawingse.g. Scale 1 cm to 8 km: how far is 4.5 cm? · 21 questionsPractice
  2. 13.2Points on a line segmente.g. The point 3/5 of the way along OG · 28 questionsPractice
  3. 13.3Transformationse.g. Reflect in x = 3, then translate by (2, −1) · 38 questionsPractice
  4. 13.4Enlarging shapese.g. Describe the enlargement · 19 questionsPractice

Unit 14: Volume, surface area and symmetry →

  1. 14.1Calculating the volume of prismse.g. Volume of a cylinder · 33 questionsPractice
  2. 14.2Calculating the surface area of triangular prisms, pyramids and cylinderse.g. Surface area of a square-based pyramid · 18 questionsPractice
  3. 14.3Symmetry in three-dimensional shapese.g. Planes of symmetry of a hexagonal pyramid · 12 questionsPractice

Unit 15: Interpreting and discussing results →

  1. 15.1Interpreting and drawing frequency polygonse.g. Plot each point at the midpoint of its class · 22 questionsPractice
  2. 15.2Scatter graphse.g. Use the line of best fit · 20 questionsPractice
  3. 15.3Back-to-back stem-and-leaf diagramse.g. Compare June and August · 21 questionsPractice
  4. 15.4Calculating statistics for grouped datae.g. Modal class and an estimate of the mean · 23 questionsPractice
  5. 15.5Representing datae.g. Which diagram shows this best? · 15 questionsPractice