📅 Free live lesson: Tuesday 17th NovemberSave your free place →

Mixed Topic Worksheet Grades 6/7: Day 037

Grades 6/7Non-calculator

  1. Question 1. The diagram shows a shape. All the angles are right angles.
    Work out the area of the shape.

    Show worked answerHide worked answer
    1. M1: 19 × 6 and 7 × 11
    2. M1: 114 + 77
    3. A1: 191
    Answer: 191 cm²
    Area of Compound Shapes
    7 cm11 cm19 cm6 cmNot drawn accurately
    [3 marks]

  2. Question 2. Set P has median 40 and interquartile range 12. Set Q has median 46 and interquartile range 20. Write down which set has the higher typical value and which has the more consistent values.

    Show worked answerHide worked answer
    1. B1: Q has the higher median
    2. B1: P has the smaller interquartile range, so is more consistent
    Answer: Q has the higher typical value; P is more consistent.
    Comparing Data Using Box Plots
    [2 marks]

  3. Question 3. The rectangle has area (x²+7x+12) cm².
    Work out an expression, in terms of x, for the length p cm.

    Show worked answerHide worked answer
    1. M1: p=dfracx²+7x+12x+3
    2. M1: x²+7x+12=(x+3)(x+4)
    3. A1: x+4
    Answer: x+4
    Simplifying Algebraic Fractions
    p cm(x + 3) cmABCDNot drawn accurately
    [3 marks]

  4. Question 4. Work out 3√5 × 4√5

    Show worked answerHide worked answer
    1. M1: (3 × 4) × (√5 × √5) = 12 × 5
    2. A1: 60
    Answer: 60
    Six Laws of Surds
    [2 marks]

  5. Question 5. The graph of y = x² - 2x - 15 crosses the x-axis at (-3, 0) and (5, 0).
    Work out the coordinates of the turning point of the graph.

    Show worked answerHide worked answer
    1. M1: the turning point is halfway between the roots, x = (-3 + 5) / 2
    2. M1: y = 1² - 2 × 1 - 15
    3. A1: (1, -16)
    Answer: (1, -16)
    Turning Points of Quadratics
    [3 marks]
📅 Free lesson: Tue 17th NovSave your place →

Mixed Topic Worksheet Grades 6/7: Day 037

Grades 6/7Non-calculator

  1. Question 1. The diagram shows a shape. All the angles are right angles.
    Work out the area of the shape.

    [3 marks]
    7 cm11 cm19 cm6 cmNot drawn accurately
    Show worked answerHide worked answer
    1. M1: 19 × 6 and 7 × 11
    2. M1: 114 + 77
    3. A1: 191
    Answer: 191 cm²
    Area of Compound Shapes

  2. Question 2. Set P has median 40 and interquartile range 12. Set Q has median 46 and interquartile range 20. Write down which set has the higher typical value and which has the more consistent values.

    [2 marks]
    Show worked answerHide worked answer
    1. B1: Q has the higher median
    2. B1: P has the smaller interquartile range, so is more consistent
    Answer: Q has the higher typical value; P is more consistent.
    Comparing Data Using Box Plots

  3. Question 3. The rectangle has area (x²+7x+12) cm².
    Work out an expression, in terms of x, for the length p cm.

    [3 marks]
    p cm(x + 3) cmABCDNot drawn accurately
    Show worked answerHide worked answer
    1. M1: p=dfracx²+7x+12x+3
    2. M1: x²+7x+12=(x+3)(x+4)
    3. A1: x+4
    Answer: x+4
    Simplifying Algebraic Fractions

  4. Question 4. Work out 3√5 × 4√5

    [2 marks]
    Show worked answerHide worked answer
    1. M1: (3 × 4) × (√5 × √5) = 12 × 5
    2. A1: 60
    Answer: 60
    Six Laws of Surds

  5. Question 5. The graph of y = x² - 2x - 15 crosses the x-axis at (-3, 0) and (5, 0).
    Work out the coordinates of the turning point of the graph.

    [3 marks]
    Show worked answerHide worked answer
    1. M1: the turning point is halfway between the roots, x = (-3 + 5) / 2
    2. M1: y = 1² - 2 × 1 - 15
    3. A1: (1, -16)
    Answer: (1, -16)
    Turning Points of Quadratics
📅 Free live lesson: Tuesday 17th NovemberSave your free place →

Mixed Topic Worksheet Grades 6/7: Day 037

Grades 6/7Non-calculator

  1. Question 1. The diagram shows a shape. All the angles are right angles.
    Work out the area of the shape.

    Show worked answerHide worked answer
    1. M1: 19 × 6 and 7 × 11
    2. M1: 114 + 77
    3. A1: 191
    Answer: 191 cm²
    Area of Compound Shapes
    7 cm11 cm19 cm6 cmNot drawn accurately
    [3 marks]

  2. Question 2. Set P has median 40 and interquartile range 12. Set Q has median 46 and interquartile range 20. Write down which set has the higher typical value and which has the more consistent values.

    Show worked answerHide worked answer
    1. B1: Q has the higher median
    2. B1: P has the smaller interquartile range, so is more consistent
    Answer: Q has the higher typical value; P is more consistent.
    Comparing Data Using Box Plots
    [2 marks]

  3. Question 3. The rectangle has area (x²+7x+12) cm².
    Work out an expression, in terms of x, for the length p cm.

    Show worked answerHide worked answer
    1. M1: p=dfracx²+7x+12x+3
    2. M1: x²+7x+12=(x+3)(x+4)
    3. A1: x+4
    Answer: x+4
    Simplifying Algebraic Fractions
    p cm(x + 3) cmABCDNot drawn accurately
    [3 marks]

  4. Question 4. Work out 3√5 × 4√5

    Show worked answerHide worked answer
    1. M1: (3 × 4) × (√5 × √5) = 12 × 5
    2. A1: 60
    Answer: 60
    Six Laws of Surds
    [2 marks]

  5. Question 5. The graph of y = x² - 2x - 15 crosses the x-axis at (-3, 0) and (5, 0).
    Work out the coordinates of the turning point of the graph.

    Show worked answerHide worked answer
    1. M1: the turning point is halfway between the roots, x = (-3 + 5) / 2
    2. M1: y = 1² - 2 × 1 - 15
    3. A1: (1, -16)
    Answer: (1, -16)
    Turning Points of Quadratics
    [3 marks]