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Mixed Topic Worksheet Grades 4/5: Day 022

Grades 4/5Calculator

  1. Question 1. Hana asks 500 people at a rugby ground whether they like rugby.
    Hana says, "My sample is large so it cannot be biased."
    Is Hana correct?
    Give a reason for your answer.

    Show worked answerHide worked answer
    1. B1: No
    2. C1: the people at a rugby ground are more likely to like rugby, however many are asked
    Answer: No, a large sample can still be biased
    Identifying Biased Samples
    [2 marks]

  2. Question 2. Work out the coordinates of the midpoint of the line segment joining P(-6, 2) and Q(4, 8).

    Show worked answerHide worked answer
    1. M1: (-6 + 4) ÷ 2 or (2 + 8) ÷ 2
    2. A1: (-1, 5)
    Answer: (-1, 5)
    Midpoint of Two Points
    [2 marks]

  3. Question 3. Ben is working out 0⁵. Ben's working: 0⁵ = 0 + 5 = 5. Work out the correct value of 0⁵ and describe what Ben did.

    Show worked answerHide worked answer
    1. M1: 0 × 0 × 0 × 0 × 0
    2. A1: 0 with a description of Ben's error
    Answer: 0. Ben added 5 to 0 instead of multiplying five 0s together
    Powers of Zero & One
    [2 marks]

  4. Question 4. xi=x : x is an integer, 10 ≤ x ≤ 30 and A=x : x is a square number. Work out n(A').

    Show worked answerHide worked answer
    1. M1: n(xi)=21 and A=16, 25
    2. A1: 21-2=19
    Answer: 19
    Fundamentals of Set Notation
    [2 marks]

  5. Question 5. The diagram shows a shape made from a rectangle and a semicircle.
    The diameter of the semicircle is equal to the width of the rectangle.
    Work out the area of the shape.
    Give your answer to 1 decimal place.

    Show worked answerHide worked answer
    1. M1: semicircle area = tfrac12 × π × 4²
    2. M1: 14 × 8 + semicircle area
    3. A1: 137.1
    Answer: 137.1 cm²
    Area of Compound Shapes
    14 cm8 cmNot drawn accurately
    [3 marks]
📅 Free lesson: Tue 17th NovSave your place →

Mixed Topic Worksheet Grades 4/5: Day 022

Grades 4/5Calculator

  1. Question 1. Hana asks 500 people at a rugby ground whether they like rugby.
    Hana says, "My sample is large so it cannot be biased."
    Is Hana correct?
    Give a reason for your answer.

    [2 marks]
    Show worked answerHide worked answer
    1. B1: No
    2. C1: the people at a rugby ground are more likely to like rugby, however many are asked
    Answer: No, a large sample can still be biased
    Identifying Biased Samples

  2. Question 2. Work out the coordinates of the midpoint of the line segment joining P(-6, 2) and Q(4, 8).

    [2 marks]
    Show worked answerHide worked answer
    1. M1: (-6 + 4) ÷ 2 or (2 + 8) ÷ 2
    2. A1: (-1, 5)
    Answer: (-1, 5)
    Midpoint of Two Points

  3. Question 3. Ben is working out 0⁵. Ben's working: 0⁵ = 0 + 5 = 5. Work out the correct value of 0⁵ and describe what Ben did.

    [2 marks]
    Show worked answerHide worked answer
    1. M1: 0 × 0 × 0 × 0 × 0
    2. A1: 0 with a description of Ben's error
    Answer: 0. Ben added 5 to 0 instead of multiplying five 0s together
    Powers of Zero & One

  4. Question 4. xi=x : x is an integer, 10 ≤ x ≤ 30 and A=x : x is a square number. Work out n(A').

    [2 marks]
    Show worked answerHide worked answer
    1. M1: n(xi)=21 and A=16, 25
    2. A1: 21-2=19
    Answer: 19
    Fundamentals of Set Notation

  5. Question 5. The diagram shows a shape made from a rectangle and a semicircle.
    The diameter of the semicircle is equal to the width of the rectangle.
    Work out the area of the shape.
    Give your answer to 1 decimal place.

    [3 marks]
    14 cm8 cmNot drawn accurately
    Show worked answerHide worked answer
    1. M1: semicircle area = tfrac12 × π × 4²
    2. M1: 14 × 8 + semicircle area
    3. A1: 137.1
    Answer: 137.1 cm²
    Area of Compound Shapes
📅 Free live lesson: Tuesday 17th NovemberSave your free place →

Mixed Topic Worksheet Grades 4/5: Day 022

Grades 4/5Calculator

  1. Question 1. Hana asks 500 people at a rugby ground whether they like rugby.
    Hana says, "My sample is large so it cannot be biased."
    Is Hana correct?
    Give a reason for your answer.

    Show worked answerHide worked answer
    1. B1: No
    2. C1: the people at a rugby ground are more likely to like rugby, however many are asked
    Answer: No, a large sample can still be biased
    Identifying Biased Samples
    [2 marks]

  2. Question 2. Work out the coordinates of the midpoint of the line segment joining P(-6, 2) and Q(4, 8).

    Show worked answerHide worked answer
    1. M1: (-6 + 4) ÷ 2 or (2 + 8) ÷ 2
    2. A1: (-1, 5)
    Answer: (-1, 5)
    Midpoint of Two Points
    [2 marks]

  3. Question 3. Ben is working out 0⁵. Ben's working: 0⁵ = 0 + 5 = 5. Work out the correct value of 0⁵ and describe what Ben did.

    Show worked answerHide worked answer
    1. M1: 0 × 0 × 0 × 0 × 0
    2. A1: 0 with a description of Ben's error
    Answer: 0. Ben added 5 to 0 instead of multiplying five 0s together
    Powers of Zero & One
    [2 marks]

  4. Question 4. xi=x : x is an integer, 10 ≤ x ≤ 30 and A=x : x is a square number. Work out n(A').

    Show worked answerHide worked answer
    1. M1: n(xi)=21 and A=16, 25
    2. A1: 21-2=19
    Answer: 19
    Fundamentals of Set Notation
    [2 marks]

  5. Question 5. The diagram shows a shape made from a rectangle and a semicircle.
    The diameter of the semicircle is equal to the width of the rectangle.
    Work out the area of the shape.
    Give your answer to 1 decimal place.

    Show worked answerHide worked answer
    1. M1: semicircle area = tfrac12 × π × 4²
    2. M1: 14 × 8 + semicircle area
    3. A1: 137.1
    Answer: 137.1 cm²
    Area of Compound Shapes
    14 cm8 cmNot drawn accurately
    [3 marks]