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

Mixed Topic Worksheet Grades 4/5: Day 066

Grades 4/5Calculator

  1. Question 1. The diagram shows a semicircle.
    Work out the perimeter of the semicircle.
    Give your answer in terms of π

    Show worked answerHide worked answer
    1. M1: π × 12 ÷ 2 + 12
    2. A1: 6π + 12
    Answer: 6π + 12 cm
    Perimeter of a Semicircle
    12 cm
    [2 marks]

  2. Question 2. A 500 g bag of rice costs £1.40.

    Work out the cost of 100 g of rice.

    Show worked answerHide worked answer
    1. M1: 1.40 ÷ 5 (there are 5 lots of 100 g in 500 g)
    2. A1: £0.28
    Answer: £0.28
    Like-for-Like Comparisons
    [2 marks]

  3. Question 3. A fair spinner has 8 equal sections numbered 1 to 8.
    The spinner is spun 160 times.
    Work out the number of times you expect it to land on a 5.

    Show worked answerHide worked answer
    1. M1: dfrac18 × 160
    2. A1: 20
    Answer: 20
    Identifying Bias
    [2 marks]

  4. Question 4. A is the point (-6, -2).
    B is the point (3, 4).
    Work out the distance between A and B.
    Round your answer to three significant figures.

    Show worked answerHide worked answer
    1. M1: (3 - (-6))² + (4 - (-2))²
    2. M1: √117 = 10.8167ldots
    3. A1: 10.8
    Answer: 10.8
    Distance Between Two Points
    xy−224AB−6−4−2240
    [3 marks]

  5. Question 5. The equation x³ + 4x = 30 has a solution between 2 and 3
    Find this solution. Give your answer correct to one decimal place.
    Show your trials.

    Show worked answerHide worked answer
    1. M1: tries a value between 2 and 3 and works out x³ + 4x
    2. M1: tries 2.6 and 2.7: 27.98 and 30.483, either side of 30
    3. M1: tries 2.65: 2.65³ + 4 × 2.65 = 29.21, which is below 30
    4. A1: 2.7
    Answer: 2.7
    Plotting a Cubic
    [4 marks]
📅 Free lesson: Tue 17th NovSave your place →

Mixed Topic Worksheet Grades 4/5: Day 066

Grades 4/5Calculator

  1. Question 1. The diagram shows a semicircle.
    Work out the perimeter of the semicircle.
    Give your answer in terms of π

    [2 marks]
    12 cm
    Show worked answerHide worked answer
    1. M1: π × 12 ÷ 2 + 12
    2. A1: 6π + 12
    Answer: 6π + 12 cm
    Perimeter of a Semicircle

  2. Question 2. A 500 g bag of rice costs £1.40.

    Work out the cost of 100 g of rice.

    [2 marks]
    Show worked answerHide worked answer
    1. M1: 1.40 ÷ 5 (there are 5 lots of 100 g in 500 g)
    2. A1: £0.28
    Answer: £0.28
    Like-for-Like Comparisons

  3. Question 3. A fair spinner has 8 equal sections numbered 1 to 8.
    The spinner is spun 160 times.
    Work out the number of times you expect it to land on a 5.

    [2 marks]
    Show worked answerHide worked answer
    1. M1: dfrac18 × 160
    2. A1: 20
    Answer: 20
    Identifying Bias

  4. Question 4. A is the point (-6, -2).
    B is the point (3, 4).
    Work out the distance between A and B.
    Round your answer to three significant figures.

    [3 marks]
    xy−224AB−6−4−2240
    Show worked answerHide worked answer
    1. M1: (3 - (-6))² + (4 - (-2))²
    2. M1: √117 = 10.8167ldots
    3. A1: 10.8
    Answer: 10.8
    Distance Between Two Points

  5. Question 5. The equation x³ + 4x = 30 has a solution between 2 and 3
    Find this solution. Give your answer correct to one decimal place.
    Show your trials.

    [4 marks]
    Show worked answerHide worked answer
    1. M1: tries a value between 2 and 3 and works out x³ + 4x
    2. M1: tries 2.6 and 2.7: 27.98 and 30.483, either side of 30
    3. M1: tries 2.65: 2.65³ + 4 × 2.65 = 29.21, which is below 30
    4. A1: 2.7
    Answer: 2.7
    Plotting a Cubic
📅 Free live lesson: Tuesday 17th NovemberSave your free place →

Mixed Topic Worksheet Grades 4/5: Day 066

Grades 4/5Calculator

  1. Question 1. The diagram shows a semicircle.
    Work out the perimeter of the semicircle.
    Give your answer in terms of π

    Show worked answerHide worked answer
    1. M1: π × 12 ÷ 2 + 12
    2. A1: 6π + 12
    Answer: 6π + 12 cm
    Perimeter of a Semicircle
    12 cm
    [2 marks]

  2. Question 2. A 500 g bag of rice costs £1.40.

    Work out the cost of 100 g of rice.

    Show worked answerHide worked answer
    1. M1: 1.40 ÷ 5 (there are 5 lots of 100 g in 500 g)
    2. A1: £0.28
    Answer: £0.28
    Like-for-Like Comparisons
    [2 marks]

  3. Question 3. A fair spinner has 8 equal sections numbered 1 to 8.
    The spinner is spun 160 times.
    Work out the number of times you expect it to land on a 5.

    Show worked answerHide worked answer
    1. M1: dfrac18 × 160
    2. A1: 20
    Answer: 20
    Identifying Bias
    [2 marks]

  4. Question 4. A is the point (-6, -2).
    B is the point (3, 4).
    Work out the distance between A and B.
    Round your answer to three significant figures.

    Show worked answerHide worked answer
    1. M1: (3 - (-6))² + (4 - (-2))²
    2. M1: √117 = 10.8167ldots
    3. A1: 10.8
    Answer: 10.8
    Distance Between Two Points
    xy−224AB−6−4−2240
    [3 marks]

  5. Question 5. The equation x³ + 4x = 30 has a solution between 2 and 3
    Find this solution. Give your answer correct to one decimal place.
    Show your trials.

    Show worked answerHide worked answer
    1. M1: tries a value between 2 and 3 and works out x³ + 4x
    2. M1: tries 2.6 and 2.7: 27.98 and 30.483, either side of 30
    3. M1: tries 2.65: 2.65³ + 4 × 2.65 = 29.21, which is below 30
    4. A1: 2.7
    Answer: 2.7
    Plotting a Cubic
    [4 marks]