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

Mixed Topic Worksheet Grades 4/5: Day 041

Grades 4/5Non-calculator

  1. Question 1. A ferry travels for 45 minutes at an average speed of 64 km/h.
    The ferry then travels for 15 minutes at an average speed of 52 km/h.

    Work out the total distance travelled.

    Show worked answerHide worked answer
    1. M1: 64 × 45 ÷ 60 = 48
    2. M1: 52 × 15 ÷ 60 = 13
    3. M1: 48 + 13
    4. A1: 61
    Answer: 61 kilometres
    Speed, Distance & Time Calculations
    [4 marks]

  2. Question 2. The diagram shows a trapezium with two right angles.
    Work out the perimeter of the trapezium.

    Show worked answerHide worked answer
    1. M1: 10 + 5 + 7 + 4
    2. A1: 26
    Answer: 26 cm
    Perimeter of Trapeziums
    10 cm5 cm7 cm4 cmNot drawn accurately
    [2 marks]

  3. Question 3. A rectangle has area 7dfrac12 cm².
    Its length is 3dfrac34 cm.
    Work out the width of the rectangle.

    Show worked answerHide worked answer
    1. M1: 7dfrac12=dfrac7×2+12 and 3dfrac34=dfrac3×4+34
    2. M1: dfrac152 ÷ dfrac154 = dfrac152 × dfrac415
    3. A1: 2
    Answer: 2
    Multiplying Mixed Numbers
    [3 marks]

  4. Question 4. The diagram shows the graph of y = x² + 2x - 3
    Write down the positive root of x² + 2x - 3 = 0

    Show worked answerHide worked answer
    1. M1: the graph crosses the x-axis at x = -3 and x = 1
    2. A1: 1
    Answer: 1
    Identifying the Roots of a Quadratic from a Graph
    xy−4−224−4−3−2−112
    [2 marks]

  5. Question 5. In a class of 30 students, 14 have a dog and 9 have a cat.
    5 students have both a dog and a cat.
    Draw a Venn diagram to show this information.
    Write the number of students in each region of your diagram.

    Show worked answerHide worked answer
    1. B1: 5 in the overlap
    2. M1: 14 - 5 = 9 in the dog only region and 9 - 5 = 4 in the cat only region
    3. A1: 30 - (9 + 5 + 4) = 12 outside both circles
    ξDogCat95412
    Answer: Both: 5. Dog only: 9. Cat only: 4. Neither: 12
    Constructing Venn Diagrams
    [3 marks]
📅 Free lesson: Tue 17th NovSave your place →

Mixed Topic Worksheet Grades 4/5: Day 041

Grades 4/5Non-calculator

  1. Question 1. A ferry travels for 45 minutes at an average speed of 64 km/h.
    The ferry then travels for 15 minutes at an average speed of 52 km/h.

    Work out the total distance travelled.

    [4 marks]
    Show worked answerHide worked answer
    1. M1: 64 × 45 ÷ 60 = 48
    2. M1: 52 × 15 ÷ 60 = 13
    3. M1: 48 + 13
    4. A1: 61
    Answer: 61 kilometres
    Speed, Distance & Time Calculations

  2. Question 2. The diagram shows a trapezium with two right angles.
    Work out the perimeter of the trapezium.

    [2 marks]
    10 cm5 cm7 cm4 cmNot drawn accurately
    Show worked answerHide worked answer
    1. M1: 10 + 5 + 7 + 4
    2. A1: 26
    Answer: 26 cm
    Perimeter of Trapeziums

  3. Question 3. A rectangle has area 7dfrac12 cm².
    Its length is 3dfrac34 cm.
    Work out the width of the rectangle.

    [3 marks]
    Show worked answerHide worked answer
    1. M1: 7dfrac12=dfrac7×2+12 and 3dfrac34=dfrac3×4+34
    2. M1: dfrac152 ÷ dfrac154 = dfrac152 × dfrac415
    3. A1: 2
    Answer: 2
    Multiplying Mixed Numbers

  4. Question 4. The diagram shows the graph of y = x² + 2x - 3
    Write down the positive root of x² + 2x - 3 = 0

    [2 marks]
    xy−4−224−4−3−2−112
    Show worked answerHide worked answer
    1. M1: the graph crosses the x-axis at x = -3 and x = 1
    2. A1: 1
    Answer: 1
    Identifying the Roots of a Quadratic from a Graph

  5. Question 5. In a class of 30 students, 14 have a dog and 9 have a cat.
    5 students have both a dog and a cat.
    Draw a Venn diagram to show this information.
    Write the number of students in each region of your diagram.

    [3 marks]
    Show worked answerHide worked answer
    1. B1: 5 in the overlap
    2. M1: 14 - 5 = 9 in the dog only region and 9 - 5 = 4 in the cat only region
    3. A1: 30 - (9 + 5 + 4) = 12 outside both circles
    ξDogCat95412
    Answer: Both: 5. Dog only: 9. Cat only: 4. Neither: 12
    Constructing Venn Diagrams
📅 Free live lesson: Tuesday 17th NovemberSave your free place →

Mixed Topic Worksheet Grades 4/5: Day 041

Grades 4/5Non-calculator

  1. Question 1. A ferry travels for 45 minutes at an average speed of 64 km/h.
    The ferry then travels for 15 minutes at an average speed of 52 km/h.

    Work out the total distance travelled.

    Show worked answerHide worked answer
    1. M1: 64 × 45 ÷ 60 = 48
    2. M1: 52 × 15 ÷ 60 = 13
    3. M1: 48 + 13
    4. A1: 61
    Answer: 61 kilometres
    Speed, Distance & Time Calculations
    [4 marks]

  2. Question 2. The diagram shows a trapezium with two right angles.
    Work out the perimeter of the trapezium.

    Show worked answerHide worked answer
    1. M1: 10 + 5 + 7 + 4
    2. A1: 26
    Answer: 26 cm
    Perimeter of Trapeziums
    10 cm5 cm7 cm4 cmNot drawn accurately
    [2 marks]

  3. Question 3. A rectangle has area 7dfrac12 cm².
    Its length is 3dfrac34 cm.
    Work out the width of the rectangle.

    Show worked answerHide worked answer
    1. M1: 7dfrac12=dfrac7×2+12 and 3dfrac34=dfrac3×4+34
    2. M1: dfrac152 ÷ dfrac154 = dfrac152 × dfrac415
    3. A1: 2
    Answer: 2
    Multiplying Mixed Numbers
    [3 marks]

  4. Question 4. The diagram shows the graph of y = x² + 2x - 3
    Write down the positive root of x² + 2x - 3 = 0

    Show worked answerHide worked answer
    1. M1: the graph crosses the x-axis at x = -3 and x = 1
    2. A1: 1
    Answer: 1
    Identifying the Roots of a Quadratic from a Graph
    xy−4−224−4−3−2−112
    [2 marks]

  5. Question 5. In a class of 30 students, 14 have a dog and 9 have a cat.
    5 students have both a dog and a cat.
    Draw a Venn diagram to show this information.
    Write the number of students in each region of your diagram.

    Show worked answerHide worked answer
    1. B1: 5 in the overlap
    2. M1: 14 - 5 = 9 in the dog only region and 9 - 5 = 4 in the cat only region
    3. A1: 30 - (9 + 5 + 4) = 12 outside both circles
    ξDogCat95412
    Answer: Both: 5. Dog only: 9. Cat only: 4. Neither: 12
    Constructing Venn Diagrams
    [3 marks]