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Mixed Topic Worksheet Grades 4/5: Day 084

Grades 4/5Calculator

  1. Question 1. Pat says the number line shows x > 2. Is Pat correct? Give a reason for your answer.

    Show worked answerHide worked answer
    1. B1: No
    2. B1: closed circle means 2 is included, so x ≥ 2
    Answer: No. The circle at 2 is closed, so 2 is included and the inequality is x ≥ 2
    Drawing Inequalities on Number Lines
    −20246x
    [2 marks]

  2. Question 2. Work out 2dfrac14 + 3dfrac12
    Give your answer as a mixed number in its simplest form.

    Show worked answerHide worked answer
    1. M1: 2 + 3 = 5 and dfrac14=dfrac14, dfrac12=dfrac24
    2. A1: 5dfrac34
    Answer: 5dfrac34
    Adding Mixed Numbers
    [2 marks]

  3. Question 3. A coin is flipped 40 times. It lands on heads 18 times.
    Work out the relative frequency of heads.

    Show worked answerHide worked answer
    1. M1: 18 ÷ 40
    2. A1: 0.45
    Answer: 0.45
    Calculating Relative Frequency
    [2 marks]

  4. Question 4. £3 000 is invested for 2 years at 3% compound interest per year.
    Work out the value of the investment at the end of 2 years.

    Show worked answerHide worked answer
    1. M1: 3 000 × 1.03²
    2. A1: £3 182.70
    Answer: £3 182.70
    Compound Interest
    [2 marks]

  5. Question 5. Here is a pyramid with a square base. The height marked is the perpendicular height. Work out the volume of the pyramid.
    Give your answer to 2 decimal places.

    Show worked answerHide worked answer
    1. M1: 2.4 × 2.4
    2. M1: 1/3 × 5.76 × 3.5
    3. A1: 6.72
    Answer: 6.72
    Volume of Pyramids
    2.4 m2.4 m3.5 m
    [3 marks]
📅 Free lesson: Tue 17th NovSave your place →

Mixed Topic Worksheet Grades 4/5: Day 084

Grades 4/5Calculator

  1. Question 1. Pat says the number line shows x > 2. Is Pat correct? Give a reason for your answer.

    [2 marks]
    −20246x
    Show worked answerHide worked answer
    1. B1: No
    2. B1: closed circle means 2 is included, so x ≥ 2
    Answer: No. The circle at 2 is closed, so 2 is included and the inequality is x ≥ 2
    Drawing Inequalities on Number Lines

  2. Question 2. Work out 2dfrac14 + 3dfrac12
    Give your answer as a mixed number in its simplest form.

    [2 marks]
    Show worked answerHide worked answer
    1. M1: 2 + 3 = 5 and dfrac14=dfrac14, dfrac12=dfrac24
    2. A1: 5dfrac34
    Answer: 5dfrac34
    Adding Mixed Numbers

  3. Question 3. A coin is flipped 40 times. It lands on heads 18 times.
    Work out the relative frequency of heads.

    [2 marks]
    Show worked answerHide worked answer
    1. M1: 18 ÷ 40
    2. A1: 0.45
    Answer: 0.45
    Calculating Relative Frequency

  4. Question 4. £3 000 is invested for 2 years at 3% compound interest per year.
    Work out the value of the investment at the end of 2 years.

    [2 marks]
    Show worked answerHide worked answer
    1. M1: 3 000 × 1.03²
    2. A1: £3 182.70
    Answer: £3 182.70
    Compound Interest

  5. Question 5. Here is a pyramid with a square base. The height marked is the perpendicular height. Work out the volume of the pyramid.
    Give your answer to 2 decimal places.

    [3 marks]
    2.4 m2.4 m3.5 m
    Show worked answerHide worked answer
    1. M1: 2.4 × 2.4
    2. M1: 1/3 × 5.76 × 3.5
    3. A1: 6.72
    Answer: 6.72
    Volume of Pyramids
📅 Free live lesson: Tuesday 17th NovemberSave your free place →

Mixed Topic Worksheet Grades 4/5: Day 084

Grades 4/5Calculator

  1. Question 1. Pat says the number line shows x > 2. Is Pat correct? Give a reason for your answer.

    Show worked answerHide worked answer
    1. B1: No
    2. B1: closed circle means 2 is included, so x ≥ 2
    Answer: No. The circle at 2 is closed, so 2 is included and the inequality is x ≥ 2
    Drawing Inequalities on Number Lines
    −20246x
    [2 marks]

  2. Question 2. Work out 2dfrac14 + 3dfrac12
    Give your answer as a mixed number in its simplest form.

    Show worked answerHide worked answer
    1. M1: 2 + 3 = 5 and dfrac14=dfrac14, dfrac12=dfrac24
    2. A1: 5dfrac34
    Answer: 5dfrac34
    Adding Mixed Numbers
    [2 marks]

  3. Question 3. A coin is flipped 40 times. It lands on heads 18 times.
    Work out the relative frequency of heads.

    Show worked answerHide worked answer
    1. M1: 18 ÷ 40
    2. A1: 0.45
    Answer: 0.45
    Calculating Relative Frequency
    [2 marks]

  4. Question 4. £3 000 is invested for 2 years at 3% compound interest per year.
    Work out the value of the investment at the end of 2 years.

    Show worked answerHide worked answer
    1. M1: 3 000 × 1.03²
    2. A1: £3 182.70
    Answer: £3 182.70
    Compound Interest
    [2 marks]

  5. Question 5. Here is a pyramid with a square base. The height marked is the perpendicular height. Work out the volume of the pyramid.
    Give your answer to 2 decimal places.

    Show worked answerHide worked answer
    1. M1: 2.4 × 2.4
    2. M1: 1/3 × 5.76 × 3.5
    3. A1: 6.72
    Answer: 6.72
    Volume of Pyramids
    2.4 m2.4 m3.5 m
    [3 marks]