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

Mixed Topic Worksheet Grades 4/5: Day 072

Grades 4/5Calculator

  1. Question 1. Change 7250 grams to kilograms.

    Show worked answerHide worked answer
    1. M1: 7250 ÷ 1000
    2. A1: 7.25
    Answer: 7.25 kg
    Standard Unit Conversions
    [2 marks]

  2. Question 2. Work out 4dfrac14 - 1dfrac23
    Give your answer as a mixed number in its simplest form.

    Show worked answerHide worked answer
    1. M1: 4dfrac14=4dfrac312=3dfrac1512 and 1dfrac23=1dfrac812
    2. A1: 2dfrac712
    Answer: 2dfrac712
    Subtracting Mixed Numbers
    [2 marks]

  3. Question 3. Tiles are used to make a pattern.
    The first three patterns are shown.
    Mei says that one of the patterns uses exactly 75 tiles.
    Is Mei correct? You must give a reason for your answer.

    Show worked answerHide worked answer
    1. M1: 2 more tiles each time (6 - 4), so the rule is 2n + 2
    2. M1: 2n + 2 = 75, so n = 73 ÷ 2 = 36.5
    3. A1: No, because n is not a whole number
    Answer: No: 2n + 2 = 75 gives n = 36.5, which is not a whole number
    Position-to-Term Rules Using Patterns
    Pattern 1Pattern 2Pattern 3
    [3 marks]

  4. Question 4. The pie chart shows the favourite hot drink of some people.
    [pie chart]
    15 of the people chose tea.
    Work out the total number of people.

    Show worked answerHide worked answer
    1. M1: 360 ÷ 60 × 15
    2. A1: 90
    Answer: 90
    Interpreting Pie Charts
    Tea60°Coffee120°Juice90°Milk90°
    [2 marks]

  5. Question 5. A bucket is a cylinder with no top.
    The radius of the bucket is 14 cm and the height is 25 cm.
    Metal is used for the base and the curved surface.
    Work out the area of metal used.
    Give your answer to 1 decimal place.

    Show worked answerHide worked answer
    1. M1: π × 14² (the base) and 2 × π × 14 × 25 (the curved surface)
    2. M1: 615.75... + 2199.11...
    3. A1: 2814.9
    Answer: 2814.9 cm²
    Surface Area of Cylinders
    25 cm14 cm
    [3 marks]
📅 Free lesson: Tue 17th NovSave your place →

Mixed Topic Worksheet Grades 4/5: Day 072

Grades 4/5Calculator

  1. Question 1. Change 7250 grams to kilograms.

    [2 marks]
    Show worked answerHide worked answer
    1. M1: 7250 ÷ 1000
    2. A1: 7.25
    Answer: 7.25 kg
    Standard Unit Conversions

  2. Question 2. Work out 4dfrac14 - 1dfrac23
    Give your answer as a mixed number in its simplest form.

    [2 marks]
    Show worked answerHide worked answer
    1. M1: 4dfrac14=4dfrac312=3dfrac1512 and 1dfrac23=1dfrac812
    2. A1: 2dfrac712
    Answer: 2dfrac712
    Subtracting Mixed Numbers

  3. Question 3. Tiles are used to make a pattern.
    The first three patterns are shown.
    Mei says that one of the patterns uses exactly 75 tiles.
    Is Mei correct? You must give a reason for your answer.

    [3 marks]
    Pattern 1Pattern 2Pattern 3
    Show worked answerHide worked answer
    1. M1: 2 more tiles each time (6 - 4), so the rule is 2n + 2
    2. M1: 2n + 2 = 75, so n = 73 ÷ 2 = 36.5
    3. A1: No, because n is not a whole number
    Answer: No: 2n + 2 = 75 gives n = 36.5, which is not a whole number
    Position-to-Term Rules Using Patterns

  4. Question 4. The pie chart shows the favourite hot drink of some people.
    [pie chart]
    15 of the people chose tea.
    Work out the total number of people.

    [2 marks]
    Tea60°Coffee120°Juice90°Milk90°
    Show worked answerHide worked answer
    1. M1: 360 ÷ 60 × 15
    2. A1: 90
    Answer: 90
    Interpreting Pie Charts

  5. Question 5. A bucket is a cylinder with no top.
    The radius of the bucket is 14 cm and the height is 25 cm.
    Metal is used for the base and the curved surface.
    Work out the area of metal used.
    Give your answer to 1 decimal place.

    [3 marks]
    25 cm14 cm
    Show worked answerHide worked answer
    1. M1: π × 14² (the base) and 2 × π × 14 × 25 (the curved surface)
    2. M1: 615.75... + 2199.11...
    3. A1: 2814.9
    Answer: 2814.9 cm²
    Surface Area of Cylinders
📅 Free live lesson: Tuesday 17th NovemberSave your free place →

Mixed Topic Worksheet Grades 4/5: Day 072

Grades 4/5Calculator

  1. Question 1. Change 7250 grams to kilograms.

    Show worked answerHide worked answer
    1. M1: 7250 ÷ 1000
    2. A1: 7.25
    Answer: 7.25 kg
    Standard Unit Conversions
    [2 marks]

  2. Question 2. Work out 4dfrac14 - 1dfrac23
    Give your answer as a mixed number in its simplest form.

    Show worked answerHide worked answer
    1. M1: 4dfrac14=4dfrac312=3dfrac1512 and 1dfrac23=1dfrac812
    2. A1: 2dfrac712
    Answer: 2dfrac712
    Subtracting Mixed Numbers
    [2 marks]

  3. Question 3. Tiles are used to make a pattern.
    The first three patterns are shown.
    Mei says that one of the patterns uses exactly 75 tiles.
    Is Mei correct? You must give a reason for your answer.

    Show worked answerHide worked answer
    1. M1: 2 more tiles each time (6 - 4), so the rule is 2n + 2
    2. M1: 2n + 2 = 75, so n = 73 ÷ 2 = 36.5
    3. A1: No, because n is not a whole number
    Answer: No: 2n + 2 = 75 gives n = 36.5, which is not a whole number
    Position-to-Term Rules Using Patterns
    Pattern 1Pattern 2Pattern 3
    [3 marks]

  4. Question 4. The pie chart shows the favourite hot drink of some people.
    [pie chart]
    15 of the people chose tea.
    Work out the total number of people.

    Show worked answerHide worked answer
    1. M1: 360 ÷ 60 × 15
    2. A1: 90
    Answer: 90
    Interpreting Pie Charts
    Tea60°Coffee120°Juice90°Milk90°
    [2 marks]

  5. Question 5. A bucket is a cylinder with no top.
    The radius of the bucket is 14 cm and the height is 25 cm.
    Metal is used for the base and the curved surface.
    Work out the area of metal used.
    Give your answer to 1 decimal place.

    Show worked answerHide worked answer
    1. M1: π × 14² (the base) and 2 × π × 14 × 25 (the curved surface)
    2. M1: 615.75... + 2199.11...
    3. A1: 2814.9
    Answer: 2814.9 cm²
    Surface Area of Cylinders
    25 cm14 cm
    [3 marks]