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

Mixed Topic Worksheet Grades 4/5: Day 040

Grades 4/5Calculator

  1. Question 1. The diagram shows a regular polygon with 15 sides.
    Work out the size of the interior angle x.

    Show worked answerHide worked answer
    1. M1: (15 - 2) × 180 (the interior angles of a polygon with n sides add up to (n - 2) × 180^°)
    2. M1: divide by 15 (the angles of a regular polygon are equal)
    3. A1: 156
    Answer: 156
    Internal Angles in a Regular Polygon
    xNot drawn accurately
    [3 marks]

  2. Question 2. 12% of the light bulbs made by a company are faulty.
    A box contains 2000 of these bulbs.
    Work out the number of faulty bulbs you expect in the box.

    Show worked answerHide worked answer
    1. M1: 0.12 × 2000
    2. A1: 240
    Answer: 240
    Expected Frequency
    [2 marks]

  3. Question 3. The tally chart shows the favourite type of music of each of some people. How many more people chose pop than chose jazz?

    Show worked answerHide worked answer
    1. M1: 19 - 8
    2. A1: 11
    Answer: 11
    Working with Tally Charts
    MusicTallyRockPopJazzClassical
    [2 marks]

  4. Question 4. A flagpole QR is 6 m tall. P is on level ground 15 m from the foot Q. Work out the angle of elevation x of R from P. Give your answer to 1 decimal place.

    Show worked answerHide worked answer
    1. M1: x = tan⁻¹(6/15)
    2. A1: 21.8
    Answer: 21.8°
    Finding Angles of Elevation & Depression
    15 m6 mxPQR
    [2 marks]

  5. Question 5. The time, T hours, for n workers to paint a hall is T = 48/n.
    (a) Describe the relationship between n and T. [1]
    (b) Work out T when n = 6. [1]

    Show worked answerHide worked answer
    1. B1: (a) as n increases T decreases, doubling n halves T (inverse proportion)
    2. B1: (b) 48 ÷ 6 = 8
    Answer: (a) Inverse proportion: more workers, less time (doubling n halves T); (b) 8 hours
    Inverse Proportion Graphs
    [2 marks]
📅 Free lesson: Tue 17th NovSave your place →

Mixed Topic Worksheet Grades 4/5: Day 040

Grades 4/5Calculator

  1. Question 1. The diagram shows a regular polygon with 15 sides.
    Work out the size of the interior angle x.

    [3 marks]
    xNot drawn accurately
    Show worked answerHide worked answer
    1. M1: (15 - 2) × 180 (the interior angles of a polygon with n sides add up to (n - 2) × 180^°)
    2. M1: divide by 15 (the angles of a regular polygon are equal)
    3. A1: 156
    Answer: 156
    Internal Angles in a Regular Polygon

  2. Question 2. 12% of the light bulbs made by a company are faulty.
    A box contains 2000 of these bulbs.
    Work out the number of faulty bulbs you expect in the box.

    [2 marks]
    Show worked answerHide worked answer
    1. M1: 0.12 × 2000
    2. A1: 240
    Answer: 240
    Expected Frequency

  3. Question 3. The tally chart shows the favourite type of music of each of some people. How many more people chose pop than chose jazz?

    [2 marks]
    MusicTallyRockPopJazzClassical
    Show worked answerHide worked answer
    1. M1: 19 - 8
    2. A1: 11
    Answer: 11
    Working with Tally Charts

  4. Question 4. A flagpole QR is 6 m tall. P is on level ground 15 m from the foot Q. Work out the angle of elevation x of R from P. Give your answer to 1 decimal place.

    [2 marks]
    15 m6 mxPQR
    Show worked answerHide worked answer
    1. M1: x = tan⁻¹(6/15)
    2. A1: 21.8
    Answer: 21.8°
    Finding Angles of Elevation & Depression

  5. Question 5. The time, T hours, for n workers to paint a hall is T = 48/n.
    (a) Describe the relationship between n and T. [1]
    (b) Work out T when n = 6. [1]

    [2 marks]
    Show worked answerHide worked answer
    1. B1: (a) as n increases T decreases, doubling n halves T (inverse proportion)
    2. B1: (b) 48 ÷ 6 = 8
    Answer: (a) Inverse proportion: more workers, less time (doubling n halves T); (b) 8 hours
    Inverse Proportion Graphs
📅 Free live lesson: Tuesday 17th NovemberSave your free place →

Mixed Topic Worksheet Grades 4/5: Day 040

Grades 4/5Calculator

  1. Question 1. The diagram shows a regular polygon with 15 sides.
    Work out the size of the interior angle x.

    Show worked answerHide worked answer
    1. M1: (15 - 2) × 180 (the interior angles of a polygon with n sides add up to (n - 2) × 180^°)
    2. M1: divide by 15 (the angles of a regular polygon are equal)
    3. A1: 156
    Answer: 156
    Internal Angles in a Regular Polygon
    xNot drawn accurately
    [3 marks]

  2. Question 2. 12% of the light bulbs made by a company are faulty.
    A box contains 2000 of these bulbs.
    Work out the number of faulty bulbs you expect in the box.

    Show worked answerHide worked answer
    1. M1: 0.12 × 2000
    2. A1: 240
    Answer: 240
    Expected Frequency
    [2 marks]

  3. Question 3. The tally chart shows the favourite type of music of each of some people. How many more people chose pop than chose jazz?

    Show worked answerHide worked answer
    1. M1: 19 - 8
    2. A1: 11
    Answer: 11
    Working with Tally Charts
    MusicTallyRockPopJazzClassical
    [2 marks]

  4. Question 4. A flagpole QR is 6 m tall. P is on level ground 15 m from the foot Q. Work out the angle of elevation x of R from P. Give your answer to 1 decimal place.

    Show worked answerHide worked answer
    1. M1: x = tan⁻¹(6/15)
    2. A1: 21.8
    Answer: 21.8°
    Finding Angles of Elevation & Depression
    15 m6 mxPQR
    [2 marks]

  5. Question 5. The time, T hours, for n workers to paint a hall is T = 48/n.
    (a) Describe the relationship between n and T. [1]
    (b) Work out T when n = 6. [1]

    Show worked answerHide worked answer
    1. B1: (a) as n increases T decreases, doubling n halves T (inverse proportion)
    2. B1: (b) 48 ÷ 6 = 8
    Answer: (a) Inverse proportion: more workers, less time (doubling n halves T); (b) 8 hours
    Inverse Proportion Graphs
    [2 marks]