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

Mixed Topic Worksheet Grades 4/5: Day 004

Grades 4/5Calculator

  1. Question 1. Here are the heights, in metres, of 5 trees.
    1.52 1.68 1.47 1.75 1.59
    Work out the range of the heights.

    Show worked answerHide worked answer
    1. M1: 1.75 - 1.47
    2. A1: 0.28 m
    Answer: 0.28 m
    Range from a List
    [2 marks]

  2. Question 2. dfracn12 + dfrac14 = dfrac712
    Work out the value of n.

    Show worked answerHide worked answer
    1. M1: dfrac14 = dfrac312
    2. A1: 4
    Answer: 4
    Common Denominators
    [2 marks]

  3. Question 3. Here is a line AB.
    Use ruler and compasses to construct the perpendicular bisector of AB.
    You must show all your construction lines.

    Show worked answerHide worked answer
    1. M1: arcs of equal radius (more than half of AB) from A and from B, crossing above and below the line
    2. A1: a straight line through both crossings, cutting AB at right angles at its midpoint
    AB
    Answer: The perpendicular bisector of AB, with construction arcs
    Drawing Perpendicular Bisectors
    AB
    [2 marks]

  4. Question 4. The nth term of a sequence is 4n - 3.
    One term of the sequence is 97.
    Work out the position of this term in the sequence.

    Show worked answerHide worked answer
    1. M1: 4n-3=97, so 4n=100
    2. A1: n=25
    Answer: 25th term
    Deciding If a Term Is in a Sequence
    [2 marks]

  5. Question 5. Car A is worth £12 000.
    Its value falls by 15% each year.
    Car B is worth £11 000.
    Its value falls by 10% each year.
    Which car is worth more after 3 years?
    You must show your working.

    Show worked answerHide worked answer
    1. M1: 100 - 15 = 85% and 100 - 10 = 90%
    2. M1: 12000 × 0.85 × 0.85 × 0.85 = 7369.50
    3. M1: 11000 × 0.9 × 0.9 × 0.9 = 8019
    4. C1: Car B is worth £649.50 more
    Answer: Car B: £8,019 is more than £7,369.50
    Compound Decay
    [4 marks]
📅 Free lesson: Tue 17th NovSave your place →

Mixed Topic Worksheet Grades 4/5: Day 004

Grades 4/5Calculator

  1. Question 1. Here are the heights, in metres, of 5 trees.
    1.52 1.68 1.47 1.75 1.59
    Work out the range of the heights.

    [2 marks]
    Show worked answerHide worked answer
    1. M1: 1.75 - 1.47
    2. A1: 0.28 m
    Answer: 0.28 m
    Range from a List

  2. Question 2. dfracn12 + dfrac14 = dfrac712
    Work out the value of n.

    [2 marks]
    Show worked answerHide worked answer
    1. M1: dfrac14 = dfrac312
    2. A1: 4
    Answer: 4
    Common Denominators

  3. Question 3. Here is a line AB.
    Use ruler and compasses to construct the perpendicular bisector of AB.
    You must show all your construction lines.

    [2 marks]
    AB
    Show worked answerHide worked answer
    1. M1: arcs of equal radius (more than half of AB) from A and from B, crossing above and below the line
    2. A1: a straight line through both crossings, cutting AB at right angles at its midpoint
    AB
    Answer: The perpendicular bisector of AB, with construction arcs
    Drawing Perpendicular Bisectors

  4. Question 4. The nth term of a sequence is 4n - 3.
    One term of the sequence is 97.
    Work out the position of this term in the sequence.

    [2 marks]
    Show worked answerHide worked answer
    1. M1: 4n-3=97, so 4n=100
    2. A1: n=25
    Answer: 25th term
    Deciding If a Term Is in a Sequence

  5. Question 5. Car A is worth £12 000.
    Its value falls by 15% each year.
    Car B is worth £11 000.
    Its value falls by 10% each year.
    Which car is worth more after 3 years?
    You must show your working.

    [4 marks]
    Show worked answerHide worked answer
    1. M1: 100 - 15 = 85% and 100 - 10 = 90%
    2. M1: 12000 × 0.85 × 0.85 × 0.85 = 7369.50
    3. M1: 11000 × 0.9 × 0.9 × 0.9 = 8019
    4. C1: Car B is worth £649.50 more
    Answer: Car B: £8,019 is more than £7,369.50
    Compound Decay
📅 Free live lesson: Tuesday 17th NovemberSave your free place →

Mixed Topic Worksheet Grades 4/5: Day 004

Grades 4/5Calculator

  1. Question 1. Here are the heights, in metres, of 5 trees.
    1.52 1.68 1.47 1.75 1.59
    Work out the range of the heights.

    Show worked answerHide worked answer
    1. M1: 1.75 - 1.47
    2. A1: 0.28 m
    Answer: 0.28 m
    Range from a List
    [2 marks]

  2. Question 2. dfracn12 + dfrac14 = dfrac712
    Work out the value of n.

    Show worked answerHide worked answer
    1. M1: dfrac14 = dfrac312
    2. A1: 4
    Answer: 4
    Common Denominators
    [2 marks]

  3. Question 3. Here is a line AB.
    Use ruler and compasses to construct the perpendicular bisector of AB.
    You must show all your construction lines.

    Show worked answerHide worked answer
    1. M1: arcs of equal radius (more than half of AB) from A and from B, crossing above and below the line
    2. A1: a straight line through both crossings, cutting AB at right angles at its midpoint
    AB
    Answer: The perpendicular bisector of AB, with construction arcs
    Drawing Perpendicular Bisectors
    AB
    [2 marks]

  4. Question 4. The nth term of a sequence is 4n - 3.
    One term of the sequence is 97.
    Work out the position of this term in the sequence.

    Show worked answerHide worked answer
    1. M1: 4n-3=97, so 4n=100
    2. A1: n=25
    Answer: 25th term
    Deciding If a Term Is in a Sequence
    [2 marks]

  5. Question 5. Car A is worth £12 000.
    Its value falls by 15% each year.
    Car B is worth £11 000.
    Its value falls by 10% each year.
    Which car is worth more after 3 years?
    You must show your working.

    Show worked answerHide worked answer
    1. M1: 100 - 15 = 85% and 100 - 10 = 90%
    2. M1: 12000 × 0.85 × 0.85 × 0.85 = 7369.50
    3. M1: 11000 × 0.9 × 0.9 × 0.9 = 8019
    4. C1: Car B is worth £649.50 more
    Answer: Car B: £8,019 is more than £7,369.50
    Compound Decay
    [4 marks]