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

Mixed Topic Worksheet Grades 6/7: Day 090

Grades 6/7Calculator

  1. Question 1. The increase in the value of Zoe's shares is £56
    This is 8% of the value of the shares before the increase.

    Work out the value of the shares before the increase.

    Show worked answerHide worked answer
    1. M1: 1% = 56 ÷ 8 = 7
    2. M1: 7 × 100
    3. A1: £700
    Answer: £700
    Reverse Percentages
    [3 marks]

  2. Question 2. The times, in seconds, of 10 runners are 11, 12, 12, 13, 14, 15, 15, 16, 17, 55. Work out the interquartile range.

    Show worked answerHide worked answer
    1. M1: lower quartile 12, upper quartile 16
    2. A1: 4
    Answer: 4 seconds
    Benefits of IQR & Range
    [2 marks]

  3. Question 3. The diagram shows a sail in the shape of a triangle. Sail cloth costs £18.50 per square metre. Work out the cost of the sail cloth needed to make the sail. Give your answer to the nearest pound.

    Show worked answerHide worked answer
    1. M1: 1/2 × 4.2 × 3.6 × sin 71^°
    2. M1: area × 18.50
    3. A1: 132
    Answer: £132
    Area of Triangles Using ½ab sin C
    4.2 m3.6 m71°PQRNot drawn accurately
    [3 marks]

  4. Question 4. f(x) = dfracx4 + 5
    Find f⁻¹(x)

    Show worked answerHide worked answer
    1. M1: y - 5 = dfracx4
    2. A1: f⁻¹(x) = 4(x - 5)
    Answer: 4(x - 5)
    Inverse Functions
    [2 marks]

  5. Question 5. A sail is triangle PQR with area 12.8 m², PQ = 5.2 m and angle QPR = 38^°
    Work out the length of PR.
    Give your answer to 1 decimal place.

    Show worked answerHide worked answer
    1. M1: 12.8 = 1/2 × 5.2 × PR × sin 38^°
    2. M1: PR = 25.6/5.2 sin 38^°
    3. A1: 8.0
    Answer: 8.0 m
    Calculating Side Lengths Using ½ab sin C
    [3 marks]
📅 Free lesson: Tue 17th NovSave your place →

Mixed Topic Worksheet Grades 6/7: Day 090

Grades 6/7Calculator

  1. Question 1. The increase in the value of Zoe's shares is £56
    This is 8% of the value of the shares before the increase.

    Work out the value of the shares before the increase.

    [3 marks]
    Show worked answerHide worked answer
    1. M1: 1% = 56 ÷ 8 = 7
    2. M1: 7 × 100
    3. A1: £700
    Answer: £700
    Reverse Percentages

  2. Question 2. The times, in seconds, of 10 runners are 11, 12, 12, 13, 14, 15, 15, 16, 17, 55. Work out the interquartile range.

    [2 marks]
    Show worked answerHide worked answer
    1. M1: lower quartile 12, upper quartile 16
    2. A1: 4
    Answer: 4 seconds
    Benefits of IQR & Range

  3. Question 3. The diagram shows a sail in the shape of a triangle. Sail cloth costs £18.50 per square metre. Work out the cost of the sail cloth needed to make the sail. Give your answer to the nearest pound.

    [3 marks]
    4.2 m3.6 m71°PQRNot drawn accurately
    Show worked answerHide worked answer
    1. M1: 1/2 × 4.2 × 3.6 × sin 71^°
    2. M1: area × 18.50
    3. A1: 132
    Answer: £132
    Area of Triangles Using ½ab sin C

  4. Question 4. f(x) = dfracx4 + 5
    Find f⁻¹(x)

    [2 marks]
    Show worked answerHide worked answer
    1. M1: y - 5 = dfracx4
    2. A1: f⁻¹(x) = 4(x - 5)
    Answer: 4(x - 5)
    Inverse Functions

  5. Question 5. A sail is triangle PQR with area 12.8 m², PQ = 5.2 m and angle QPR = 38^°
    Work out the length of PR.
    Give your answer to 1 decimal place.

    [3 marks]
    Show worked answerHide worked answer
    1. M1: 12.8 = 1/2 × 5.2 × PR × sin 38^°
    2. M1: PR = 25.6/5.2 sin 38^°
    3. A1: 8.0
    Answer: 8.0 m
    Calculating Side Lengths Using ½ab sin C
📅 Free live lesson: Tuesday 17th NovemberSave your free place →

Mixed Topic Worksheet Grades 6/7: Day 090

Grades 6/7Calculator

  1. Question 1. The increase in the value of Zoe's shares is £56
    This is 8% of the value of the shares before the increase.

    Work out the value of the shares before the increase.

    Show worked answerHide worked answer
    1. M1: 1% = 56 ÷ 8 = 7
    2. M1: 7 × 100
    3. A1: £700
    Answer: £700
    Reverse Percentages
    [3 marks]

  2. Question 2. The times, in seconds, of 10 runners are 11, 12, 12, 13, 14, 15, 15, 16, 17, 55. Work out the interquartile range.

    Show worked answerHide worked answer
    1. M1: lower quartile 12, upper quartile 16
    2. A1: 4
    Answer: 4 seconds
    Benefits of IQR & Range
    [2 marks]

  3. Question 3. The diagram shows a sail in the shape of a triangle. Sail cloth costs £18.50 per square metre. Work out the cost of the sail cloth needed to make the sail. Give your answer to the nearest pound.

    Show worked answerHide worked answer
    1. M1: 1/2 × 4.2 × 3.6 × sin 71^°
    2. M1: area × 18.50
    3. A1: 132
    Answer: £132
    Area of Triangles Using ½ab sin C
    4.2 m3.6 m71°PQRNot drawn accurately
    [3 marks]

  4. Question 4. f(x) = dfracx4 + 5
    Find f⁻¹(x)

    Show worked answerHide worked answer
    1. M1: y - 5 = dfracx4
    2. A1: f⁻¹(x) = 4(x - 5)
    Answer: 4(x - 5)
    Inverse Functions
    [2 marks]

  5. Question 5. A sail is triangle PQR with area 12.8 m², PQ = 5.2 m and angle QPR = 38^°
    Work out the length of PR.
    Give your answer to 1 decimal place.

    Show worked answerHide worked answer
    1. M1: 12.8 = 1/2 × 5.2 × PR × sin 38^°
    2. M1: PR = 25.6/5.2 sin 38^°
    3. A1: 8.0
    Answer: 8.0 m
    Calculating Side Lengths Using ½ab sin C
    [3 marks]