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

Mixed Topic Worksheet Grades 4/5: Day 049

Grades 4/5Non-calculator

  1. Question 1. The diagram shows a trapezium on a centimetre grid.
    Work out the area of the trapezium.

    Show worked answerHide worked answer
    1. M1: parallel sides = 6 cm and 3 cm, height = 4 cm
    2. M1: 1/2 × (6 + 3) × 4
    3. A1: 18
    Answer: 18 cm²
    Area of Trapeziums
    [3 marks]

  2. Question 2. Rosa and Ken share the prize money from a quiz in the ratio 3 : 7

    Ken receives £24 more than Rosa.

    Work out how much money Ken receives.

    Show worked answerHide worked answer
    1. M1: 24 ÷ (7 - 3) = 6
    2. A1: £42
    Answer: £42
    Using Ratio Differences
    [2 marks]

  3. Question 3. The width of a hair is 0.00007 metres.
    Write the width of the hair in millimetres, in standard form.

    Show worked answerHide worked answer
    1. M1: Multiplies by 1000 to change metres to millimetres
    2. A1: 7 × 10⁻² mm
    Answer: 7 × 10⁻² mm
    Standard Form Conversions
    [2 marks]

  4. Question 4. mathbfp = beginpmatrix5-2endpmatrix
    mathbfp + mathbfq = beginpmatrix83endpmatrix
    Work out mathbfq.

    Show worked answerHide worked answer
    1. M1: mathbfq = beginpmatrix83endpmatrix - beginpmatrix5-2endpmatrix
    2. A1: beginpmatrix35endpmatrix
    Answer: beginpmatrix35endpmatrix
    Column Vectors & Vector Arithmetic
    [2 marks]

  5. Question 5. The line y = mx + 4 is parallel to the line 3y = 12x + 1
    The point (k, 16) is on the line y = mx + 4
    Work out the value of k.

    Show worked answerHide worked answer
    1. M1: 3y = 12x + 1 has gradient 4, so m = 4
    2. M1: 16 = 4k + 4
    3. A1: k = 3
    Answer: k = 3
    Properties of Parallel Lines
    [3 marks]
📅 Free lesson: Tue 17th NovSave your place →

Mixed Topic Worksheet Grades 4/5: Day 049

Grades 4/5Non-calculator

  1. Question 1. The diagram shows a trapezium on a centimetre grid.
    Work out the area of the trapezium.

    [3 marks]
    Show worked answerHide worked answer
    1. M1: parallel sides = 6 cm and 3 cm, height = 4 cm
    2. M1: 1/2 × (6 + 3) × 4
    3. A1: 18
    Answer: 18 cm²
    Area of Trapeziums

  2. Question 2. Rosa and Ken share the prize money from a quiz in the ratio 3 : 7

    Ken receives £24 more than Rosa.

    Work out how much money Ken receives.

    [2 marks]
    Show worked answerHide worked answer
    1. M1: 24 ÷ (7 - 3) = 6
    2. A1: £42
    Answer: £42
    Using Ratio Differences

  3. Question 3. The width of a hair is 0.00007 metres.
    Write the width of the hair in millimetres, in standard form.

    [2 marks]
    Show worked answerHide worked answer
    1. M1: Multiplies by 1000 to change metres to millimetres
    2. A1: 7 × 10⁻² mm
    Answer: 7 × 10⁻² mm
    Standard Form Conversions

  4. Question 4. mathbfp = beginpmatrix5-2endpmatrix
    mathbfp + mathbfq = beginpmatrix83endpmatrix
    Work out mathbfq.

    [2 marks]
    Show worked answerHide worked answer
    1. M1: mathbfq = beginpmatrix83endpmatrix - beginpmatrix5-2endpmatrix
    2. A1: beginpmatrix35endpmatrix
    Answer: beginpmatrix35endpmatrix
    Column Vectors & Vector Arithmetic

  5. Question 5. The line y = mx + 4 is parallel to the line 3y = 12x + 1
    The point (k, 16) is on the line y = mx + 4
    Work out the value of k.

    [3 marks]
    Show worked answerHide worked answer
    1. M1: 3y = 12x + 1 has gradient 4, so m = 4
    2. M1: 16 = 4k + 4
    3. A1: k = 3
    Answer: k = 3
    Properties of Parallel Lines
📅 Free live lesson: Tuesday 17th NovemberSave your free place →

Mixed Topic Worksheet Grades 4/5: Day 049

Grades 4/5Non-calculator

  1. Question 1. The diagram shows a trapezium on a centimetre grid.
    Work out the area of the trapezium.

    Show worked answerHide worked answer
    1. M1: parallel sides = 6 cm and 3 cm, height = 4 cm
    2. M1: 1/2 × (6 + 3) × 4
    3. A1: 18
    Answer: 18 cm²
    Area of Trapeziums
    [3 marks]

  2. Question 2. Rosa and Ken share the prize money from a quiz in the ratio 3 : 7

    Ken receives £24 more than Rosa.

    Work out how much money Ken receives.

    Show worked answerHide worked answer
    1. M1: 24 ÷ (7 - 3) = 6
    2. A1: £42
    Answer: £42
    Using Ratio Differences
    [2 marks]

  3. Question 3. The width of a hair is 0.00007 metres.
    Write the width of the hair in millimetres, in standard form.

    Show worked answerHide worked answer
    1. M1: Multiplies by 1000 to change metres to millimetres
    2. A1: 7 × 10⁻² mm
    Answer: 7 × 10⁻² mm
    Standard Form Conversions
    [2 marks]

  4. Question 4. mathbfp = beginpmatrix5-2endpmatrix
    mathbfp + mathbfq = beginpmatrix83endpmatrix
    Work out mathbfq.

    Show worked answerHide worked answer
    1. M1: mathbfq = beginpmatrix83endpmatrix - beginpmatrix5-2endpmatrix
    2. A1: beginpmatrix35endpmatrix
    Answer: beginpmatrix35endpmatrix
    Column Vectors & Vector Arithmetic
    [2 marks]

  5. Question 5. The line y = mx + 4 is parallel to the line 3y = 12x + 1
    The point (k, 16) is on the line y = mx + 4
    Work out the value of k.

    Show worked answerHide worked answer
    1. M1: 3y = 12x + 1 has gradient 4, so m = 4
    2. M1: 16 = 4k + 4
    3. A1: k = 3
    Answer: k = 3
    Properties of Parallel Lines
    [3 marks]