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

Mixed Topic Worksheet Grades 4/5: Day 052

Grades 4/5Non-calculator

  1. Question 1. A runner records her times, in seconds, for five races.
    12.4 12.1 12.9 12.6 12.0
    Work out her mean time.

    Show worked answerHide worked answer
    1. M1: 12.4 + 12.1 + 12.9 + 12.6 + 12.0 = 62.0
    2. M1: 62.0 / 5
    3. A1: 12.4
    Answer: 12.4 seconds
    Mean from a List
    [3 marks]

  2. Question 2. A coin is flipped 80 times.
    The relative frequency of heads is 0.35.
    Work out the number of heads.

    Show worked answerHide worked answer
    1. M1: 0.35 × 80
    2. A1: 28
    Answer: 28
    Calculating Relative Frequency
    [2 marks]

  3. Question 3. Use ruler and compasses to construct the perpendicular from Q to the line CD.
    You must show all your construction lines.

    Show worked answerHide worked answer
    1. M1: an arc centred on Q cutting CD twice, then two equal arcs from these points crossing above CD
    2. A1: a line from Q through the crossing point, meeting CD at right angles
    CDQ
    Answer: The perpendicular from Q to CD, with construction arcs
    Drawing a Perpendicular Line from a Point
    CDQ
    [2 marks]

  4. Question 4. 5% of a number is 18

    Work out the number.

    Show worked answerHide worked answer
    1. M1: 18 ÷ 5 × 100
    2. A1: 360
    Answer: 360
    Reverse Percentages
    [2 marks]

  5. Question 5. Sam sells a game for £72.
    He makes a profit of 20% on the price he paid.

    Work out the price Sam paid for the game.

    Show worked answerHide worked answer
    1. M1: 72 ÷ 120 × 100 (the selling price is 120% of the price paid)
    2. A1: £60
    Answer: £60
    Profit & Loss
    [2 marks]
📅 Free lesson: Tue 17th NovSave your place →

Mixed Topic Worksheet Grades 4/5: Day 052

Grades 4/5Non-calculator

  1. Question 1. A runner records her times, in seconds, for five races.
    12.4 12.1 12.9 12.6 12.0
    Work out her mean time.

    [3 marks]
    Show worked answerHide worked answer
    1. M1: 12.4 + 12.1 + 12.9 + 12.6 + 12.0 = 62.0
    2. M1: 62.0 / 5
    3. A1: 12.4
    Answer: 12.4 seconds
    Mean from a List

  2. Question 2. A coin is flipped 80 times.
    The relative frequency of heads is 0.35.
    Work out the number of heads.

    [2 marks]
    Show worked answerHide worked answer
    1. M1: 0.35 × 80
    2. A1: 28
    Answer: 28
    Calculating Relative Frequency

  3. Question 3. Use ruler and compasses to construct the perpendicular from Q to the line CD.
    You must show all your construction lines.

    [2 marks]
    CDQ
    Show worked answerHide worked answer
    1. M1: an arc centred on Q cutting CD twice, then two equal arcs from these points crossing above CD
    2. A1: a line from Q through the crossing point, meeting CD at right angles
    CDQ
    Answer: The perpendicular from Q to CD, with construction arcs
    Drawing a Perpendicular Line from a Point

  4. Question 4. 5% of a number is 18

    Work out the number.

    [2 marks]
    Show worked answerHide worked answer
    1. M1: 18 ÷ 5 × 100
    2. A1: 360
    Answer: 360
    Reverse Percentages

  5. Question 5. Sam sells a game for £72.
    He makes a profit of 20% on the price he paid.

    Work out the price Sam paid for the game.

    [2 marks]
    Show worked answerHide worked answer
    1. M1: 72 ÷ 120 × 100 (the selling price is 120% of the price paid)
    2. A1: £60
    Answer: £60
    Profit & Loss
📅 Free live lesson: Tuesday 17th NovemberSave your free place →

Mixed Topic Worksheet Grades 4/5: Day 052

Grades 4/5Non-calculator

  1. Question 1. A runner records her times, in seconds, for five races.
    12.4 12.1 12.9 12.6 12.0
    Work out her mean time.

    Show worked answerHide worked answer
    1. M1: 12.4 + 12.1 + 12.9 + 12.6 + 12.0 = 62.0
    2. M1: 62.0 / 5
    3. A1: 12.4
    Answer: 12.4 seconds
    Mean from a List
    [3 marks]

  2. Question 2. A coin is flipped 80 times.
    The relative frequency of heads is 0.35.
    Work out the number of heads.

    Show worked answerHide worked answer
    1. M1: 0.35 × 80
    2. A1: 28
    Answer: 28
    Calculating Relative Frequency
    [2 marks]

  3. Question 3. Use ruler and compasses to construct the perpendicular from Q to the line CD.
    You must show all your construction lines.

    Show worked answerHide worked answer
    1. M1: an arc centred on Q cutting CD twice, then two equal arcs from these points crossing above CD
    2. A1: a line from Q through the crossing point, meeting CD at right angles
    CDQ
    Answer: The perpendicular from Q to CD, with construction arcs
    Drawing a Perpendicular Line from a Point
    CDQ
    [2 marks]

  4. Question 4. 5% of a number is 18

    Work out the number.

    Show worked answerHide worked answer
    1. M1: 18 ÷ 5 × 100
    2. A1: 360
    Answer: 360
    Reverse Percentages
    [2 marks]

  5. Question 5. Sam sells a game for £72.
    He makes a profit of 20% on the price he paid.

    Work out the price Sam paid for the game.

    Show worked answerHide worked answer
    1. M1: 72 ÷ 120 × 100 (the selling price is 120% of the price paid)
    2. A1: £60
    Answer: £60
    Profit & Loss
    [2 marks]