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

Mixed Topic Worksheet Grades 4/5: Day 033

Grades 4/5Non-calculator
  1. Question 1. Lena writes: “5 is a multiple of 15, because 15 ÷ 5 = 3 exactly.”
    Is Lena correct? Give a reason.

    Show worked answerHide worked answer
    1. M1: lists the multiples of 15 or of 5
    2. A1: 5 is a factor of 15, so 15 is a multiple of 5
    Answer: No. 15 is a multiple of 5. The multiples of 15 are 15, 30, 45, ldots so 5 is not one of them.
    Multiples & Factors
    [2 marks]
  2. Question 2. 6 pens cost £4.50.
    Work out the cost of 10 pens.

    Show worked answerHide worked answer
    1. M1: £4.50 ÷ 6 (cost of one pen)
    2. A1: £7.50
    Answer: £7.50
    Direct Proportion Problems
    [2 marks]
  3. Question 3. The timetable shows the times of a bus journey.

    Work out the time the bus takes to travel from Manor Road to the Station. Give your answer in minutes.

    Show worked answerHide worked answer
    1. M1: 1011 − 0845 using 60 minutes in an hour
    2. A1: 86
    Answer: 86 minutes
    Time Conversions
    StopTimeLeaves Manor Road0845Arrives at Park Gate0942Arrives at Station1011Bus timetable
    [2 marks]
  4. Question 4. The graph shows the distance walked by Dee against time.
    Dee walks at a steady speed.
    Work out Dee's speed.

    Show worked answerHide worked answer
    1. M1: 10 ÷ 4
    2. A1: 2.5
    Answer: 2.5
    Gradient as a Rate of Change
    Time (hours)Distance (km)024681001234
    [2 marks]
  5. Question 5. Each term of a sequence after the first two is the sum of the two terms before it.
    The first two terms are 2 and 7.
    Write down the next four terms of the sequence.

    Show worked answerHide worked answer
    1. B1: 9 and 16
    2. B1: 25
    3. B1: 41
    Answer: 9, 16, 25, 41
    Finding Terms in a Fibonacci Sequence
    [3 marks]
📅 Free lesson: Tue 17th NovSave your place →

Mixed Topic Worksheet Grades 4/5: Day 033

Grades 4/5Non-calculator
  1. Question 1. Lena writes: “5 is a multiple of 15, because 15 ÷ 5 = 3 exactly.”
    Is Lena correct? Give a reason.

    [2 marks]
    Show worked answerHide worked answer
    1. M1: lists the multiples of 15 or of 5
    2. A1: 5 is a factor of 15, so 15 is a multiple of 5
    Answer: No. 15 is a multiple of 5. The multiples of 15 are 15, 30, 45, ldots so 5 is not one of them.
    Multiples & Factors
  2. Question 2. 6 pens cost £4.50.
    Work out the cost of 10 pens.

    [2 marks]
    Show worked answerHide worked answer
    1. M1: £4.50 ÷ 6 (cost of one pen)
    2. A1: £7.50
    Answer: £7.50
    Direct Proportion Problems
  3. Question 3. The timetable shows the times of a bus journey.

    Work out the time the bus takes to travel from Manor Road to the Station. Give your answer in minutes.

    [2 marks]
    StopTimeLeaves Manor Road0845Arrives at Park Gate0942Arrives at Station1011Bus timetable
    Show worked answerHide worked answer
    1. M1: 1011 − 0845 using 60 minutes in an hour
    2. A1: 86
    Answer: 86 minutes
    Time Conversions
  4. Question 4. The graph shows the distance walked by Dee against time.
    Dee walks at a steady speed.
    Work out Dee's speed.

    [2 marks]
    Time (hours)Distance (km)024681001234
    Show worked answerHide worked answer
    1. M1: 10 ÷ 4
    2. A1: 2.5
    Answer: 2.5
    Gradient as a Rate of Change
  5. Question 5. Each term of a sequence after the first two is the sum of the two terms before it.
    The first two terms are 2 and 7.
    Write down the next four terms of the sequence.

    [3 marks]
    Show worked answerHide worked answer
    1. B1: 9 and 16
    2. B1: 25
    3. B1: 41
    Answer: 9, 16, 25, 41
    Finding Terms in a Fibonacci Sequence
📅 Free live lesson: Tuesday 17th NovemberSave your free place →

Mixed Topic Worksheet Grades 4/5: Day 033

Grades 4/5Non-calculator
  1. Question 1. Lena writes: “5 is a multiple of 15, because 15 ÷ 5 = 3 exactly.”
    Is Lena correct? Give a reason.

    Show worked answerHide worked answer
    1. M1: lists the multiples of 15 or of 5
    2. A1: 5 is a factor of 15, so 15 is a multiple of 5
    Answer: No. 15 is a multiple of 5. The multiples of 15 are 15, 30, 45, ldots so 5 is not one of them.
    Multiples & Factors
    [2 marks]
  2. Question 2. 6 pens cost £4.50.
    Work out the cost of 10 pens.

    Show worked answerHide worked answer
    1. M1: £4.50 ÷ 6 (cost of one pen)
    2. A1: £7.50
    Answer: £7.50
    Direct Proportion Problems
    [2 marks]
  3. Question 3. The timetable shows the times of a bus journey.

    Work out the time the bus takes to travel from Manor Road to the Station. Give your answer in minutes.

    Show worked answerHide worked answer
    1. M1: 1011 − 0845 using 60 minutes in an hour
    2. A1: 86
    Answer: 86 minutes
    Time Conversions
    StopTimeLeaves Manor Road0845Arrives at Park Gate0942Arrives at Station1011Bus timetable
    [2 marks]
  4. Question 4. The graph shows the distance walked by Dee against time.
    Dee walks at a steady speed.
    Work out Dee's speed.

    Show worked answerHide worked answer
    1. M1: 10 ÷ 4
    2. A1: 2.5
    Answer: 2.5
    Gradient as a Rate of Change
    Time (hours)Distance (km)024681001234
    [2 marks]
  5. Question 5. Each term of a sequence after the first two is the sum of the two terms before it.
    The first two terms are 2 and 7.
    Write down the next four terms of the sequence.

    Show worked answerHide worked answer
    1. B1: 9 and 16
    2. B1: 25
    3. B1: 41
    Answer: 9, 16, 25, 41
    Finding Terms in a Fibonacci Sequence
    [3 marks]