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Math 8

Cambridge Lower Secondary Maths Stage 8

Grade 7 · 16 units · 61 sections · 1,027 questions

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Unit 1: Integers →

  1. 1.1Factors, multiples and primese.g. Write 60 as a product of prime factors. · 48 questionsPractice
  2. 1.2Multiplying and dividing integerse.g. (−3) × (−4) = ? · 42 questionsPractice
  3. 1.3Square roots and cube rootse.g. √49 = ? · 39 questionsPractice
  4. 1.4Indicese.g. 3² × 3⁴ = ? · 45 questionsPractice

Unit 2: Expressions, formulae and equations →

  1. 2.1Constructing expressionse.g. Write 'add 5 to x'. · 15 questionsPractice
  2. 2.2Using expressions and formulaee.g. If a = 3 and b = −2, what is 2a + b²? · 15 questionsPractice
  3. 2.3Expanding bracketse.g. Expand 3(x + 4). · 15 questionsPractice
  4. 2.4Factorisinge.g. Factorise 6x + 9. · 15 questionsPractice
  5. 2.5Constructing and solving equationse.g. Solve 3x + 5 = 20. · 15 questionsPractice
  6. 2.6Inequalitiese.g. Solve 2x + 3 < 11. · 15 questionsPractice

Unit 3: Place value and rounding →

  1. 3.1Multiplying and dividing by 0.1 and 0.01e.g. 45 × 0.1 = ? · 15 questionsPractice
  2. 3.2Roundinge.g. Round 3482 to 2 significant figures. · 15 questionsPractice

Unit 4: Decimals →

  1. 4.1Ordering decimalse.g. Order from smallest: 0.45, 0.405, 0.5 · 15 questionsPractice
  2. 4.2Multiplying decimalse.g. 2.4 × 0.35 = ? · 15 questionsPractice
  3. 4.3Dividing by decimalse.g. 4.8 ÷ 0.6 = ? · 15 questionsPractice
  4. 4.4Making decimal calculations easiere.g. 4.99 × 3 = ? · 15 questionsPractice

Unit 5: Angles and constructions →

  1. 5.1Parallel linese.g. Corresponding angles on parallel lines are … · 15 questionsPractice
  2. 5.2The exterior angle of a trianglee.g. Interior angles are 50° and 60°. What is the exterior … · 15 questionsPractice
  3. 5.3Constructionse.g. A perpendicular bisector cuts a line … · 15 questionsPractice

Unit 6: Collecting data →

  1. 6.1Data collectione.g. Data you collect yourself is … · 15 questionsPractice
  2. 6.2Samplinge.g. The whole group you want information about is the … · 15 questionsPractice

Unit 7: Fractions →

  1. 7.1Fractions and recurring decimalse.g. ⅓ as a decimal is … · 15 questionsPractice
  2. 7.2Ordering fractionse.g. Order from smallest: ⅗, ⅔, 7/10 · 15 questionsPractice
  3. 7.3Subtracting mixed numberse.g. 5¾ − 2⅓ = ? · 15 questionsPractice
  4. 7.4Multiplying an integer by a mixed numbere.g. 4 × 2⅓ = ? · 15 questionsPractice
  5. 7.5Dividing an integer by a fractione.g. 6 ÷ ⅓ = ? · 15 questionsPractice
  6. 7.6Making fraction calculations easiere.g. ⅘ × 15/16 = ? · 15 questionsPractice

Unit 8: Shapes and symmetry →

  1. 8.1Quadrilaterals and polygonse.g. What is the sum of the interior angles of a hexagon? · 15 questionsPractice
  2. 8.2The circumference of a circlee.g. A circle has diameter 10 cm. Circumference (π ≈ 3.14)? · 15 questionsPractice
  3. 8.33D shapese.g. The view of a 3D shape from above is called the … · 15 questionsPractice

Unit 9: Sequences and functions →

  1. 9.1Generating sequencese.g. Start 3, rule '× 2 then − 1'. What are the next three terms? · 15 questionsPractice
  2. 9.2Finding rules for sequencese.g. nth term of 5, 8, 11, 14? · 15 questionsPractice
  3. 9.3Using the nth terme.g. nth term 4n + 1. What is the 20th term? · 15 questionsPractice
  4. 9.4Representing simple functionse.g. Function x → 3x − 4. Output for input 5? · 15 questionsPractice

Unit 10: Percentages →

  1. 10.1Percentage increases and decreasese.g. Increase $80 by 15%. · 15 questionsPractice
  2. 10.2Using a multipliere.g. Multiplier for an increase of 15%? · 15 questionsPractice

Unit 11: Graphs →

  1. 11.1Functionse.g. y = 2x − 1. Find y when x = 3. · 15 questionsPractice
  2. 11.2Plotting graphse.g. How many points should you plot to check a straight line? · 15 questionsPractice
  3. 11.3Gradient and intercepte.g. Gradient of y = 3x − 2? · 15 questionsPractice
  4. 11.4Interpreting graphse.g. On a distance–time graph, a horizontal line means … · 14 questionsPractice

Unit 12: Ratio and proportion →

  1. 12.1Simplifying ratiose.g. Simplify 24 : 36. · 15 questionsPractice
  2. 12.2Sharing in a ratioe.g. Share $120 in the ratio 3 : 5. Larger share? · 15 questionsPractice
  3. 12.3Ratio and direct proportione.g. 5 m of cable costs $12. How much for 8 m? · 15 questionsPractice

Unit 13: Probability →

  1. 13.1Calculating probabilitiese.g. A bag has 3 red, 5 blue, 2 green. P(blue)? · 15 questionsPractice
  2. 13.2Experimental and theoretical probabilitiese.g. A coin lands heads 46 times in 100 tosses. Relative … · 15 questionsPractice

Unit 14: Position and transformation →

  1. 14.1Bearingse.g. What is the bearing of east? · 15 questionsPractice
  2. 14.2The midpoint of a line segmente.g. Midpoint of (2, 3) and (8, 7)? · 15 questionsPractice
  3. 14.3Translating 2D shapese.g. Translate (1, 4) by vector (3, −2). Image? · 15 questionsPractice
  4. 14.4Reflecting shapese.g. Reflect (3, 1) in the line x = 5. · 15 questionsPractice
  5. 14.5Rotating shapese.g. Rotate (2, 5) 180° about the origin. · 15 questionsPractice
  6. 14.6Enlarging shapese.g. A 2 cm side is enlarged by scale factor 3. New length? · 15 questionsPractice

Unit 15: Distance, area and volume →

  1. 15.1Converting between miles and kilometrese.g. 25 miles ≈ ? km · 15 questionsPractice
  2. 15.2The area of a parallelogram and trapeziume.g. Parallelogram base 8 cm, height 5 cm. Area? · 15 questionsPractice
  3. 15.3Calculating the volume of triangular prismse.g. Triangle base 4 cm, height 3 cm, prism length 10 cm. Volume? · 15 questionsPractice
  4. 15.4Calculating the surface area of triangular prisms, pyramids and cylinderse.g. Square-based pyramid: base 6 cm, each triangle has … · 15 questionsPractice

Unit 16: Interpreting and discussing results →

  1. 16.1Interpreting and drawing frequency diagramse.g. Midpoint of the class 10 ≤ t < 20? · 15 questionsPractice
  2. 16.2Time series graphse.g. Time series graphs have … on the horizontal axis. · 15 questionsPractice
  3. 16.3Stem-and-leaf diagramse.g. Key 3 | 4 means 34. What does 5 | 2 mean? · 14 questionsPractice
  4. 16.4Pie chartse.g. 30 people; 10 choose tea. Angle for tea? · 15 questionsPractice
  5. 16.5Representing datae.g. Best diagram for heights of 100 students? · 15 questionsPractice
  6. 16.6Using statisticse.g. Team A: mean 15, range 4. Team B: mean 15, range 12. … · 15 questionsPractice