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

Mixed Topic Worksheet Grades 4/5: Day 081

Grades 4/5Non-calculator

  1. Question 1. Jon converts a percentage into the fraction dfrac1120 Work out the percentage that Jon started with.

    Show worked answerHide worked answer
    1. B1: 55%
    Answer: 55%
    Writing Decimals & Percentages as Fractions
    [1 mark]

  2. Question 2. Dev rearranges 3x + y = 7 to make y the subject.
    Here is his working.
    y = 7 + 3x
    Is Dev correct?
    You must give a reason for your answer.

    Show worked answerHide worked answer
    1. M1: y = 7 - 3x shown, or a check with x = 1 giving y = 4
    2. A1: no, with 7 + 3x compared with 7 - 3x
    Answer: No. Subtracting 3x from both sides gives y = 7 - 3x, so Dev has the wrong sign on 3x.
    Rearranging to the Form y = mx + c
    [2 marks]

  3. Question 3. A spinner has four colours.
    The probabilities of red, blue and green are 0.2, 0.35 and 0.15
    The probability of yellow is square
    Write the missing number.

    Show worked answerHide worked answer
    1. M1: 0.2 + 0.35 + 0.15 = 0.7
    2. A1: 1 − 0.7 = 0.3
    Answer: 0.3
    Calculating Probabilities
    [2 marks]

  4. Question 4. The diagram shows a shape. All the angles are right angles.
    Work out the perimeter of the shape.

    Show worked answerHide worked answer
    1. M1: the inner bottom is 18 - 5 - 4 = 9 and the left side is 11
    2. M1: 18 + 11 + 4 + 6 + 9 + 6 + 5 + 11
    3. A1: 70
    Answer: 70 cm
    Perimeter of Compound Shapes
    18 cm11 cm4 cm6 cm5 cmNot drawn accurately
    [3 marks]

  5. Question 5. Solve the simultaneous equations
    2x + y = 9
    x - y = 3

    Show worked answerHide worked answer
    1. M1: Add the equations to eliminate y: 3x = 12
    2. M1: Substitute x = 4 into one equation to find y
    3. A1: x = 4 and y = 1
    Answer: x = 4, y = 1
    Solving Linear Simultaneous Equations
    [3 marks]
📅 Free lesson: Tue 17th NovSave your place →

Mixed Topic Worksheet Grades 4/5: Day 081

Grades 4/5Non-calculator

  1. Question 1. Jon converts a percentage into the fraction dfrac1120 Work out the percentage that Jon started with.

    [1 mark]
    Show worked answerHide worked answer
    1. B1: 55%
    Answer: 55%
    Writing Decimals & Percentages as Fractions

  2. Question 2. Dev rearranges 3x + y = 7 to make y the subject.
    Here is his working.
    y = 7 + 3x
    Is Dev correct?
    You must give a reason for your answer.

    [2 marks]
    Show worked answerHide worked answer
    1. M1: y = 7 - 3x shown, or a check with x = 1 giving y = 4
    2. A1: no, with 7 + 3x compared with 7 - 3x
    Answer: No. Subtracting 3x from both sides gives y = 7 - 3x, so Dev has the wrong sign on 3x.
    Rearranging to the Form y = mx + c

  3. Question 3. A spinner has four colours.
    The probabilities of red, blue and green are 0.2, 0.35 and 0.15
    The probability of yellow is square
    Write the missing number.

    [2 marks]
    Show worked answerHide worked answer
    1. M1: 0.2 + 0.35 + 0.15 = 0.7
    2. A1: 1 − 0.7 = 0.3
    Answer: 0.3
    Calculating Probabilities

  4. Question 4. The diagram shows a shape. All the angles are right angles.
    Work out the perimeter of the shape.

    [3 marks]
    18 cm11 cm4 cm6 cm5 cmNot drawn accurately
    Show worked answerHide worked answer
    1. M1: the inner bottom is 18 - 5 - 4 = 9 and the left side is 11
    2. M1: 18 + 11 + 4 + 6 + 9 + 6 + 5 + 11
    3. A1: 70
    Answer: 70 cm
    Perimeter of Compound Shapes

  5. Question 5. Solve the simultaneous equations
    2x + y = 9
    x - y = 3

    [3 marks]
    Show worked answerHide worked answer
    1. M1: Add the equations to eliminate y: 3x = 12
    2. M1: Substitute x = 4 into one equation to find y
    3. A1: x = 4 and y = 1
    Answer: x = 4, y = 1
    Solving Linear Simultaneous Equations
📅 Free live lesson: Tuesday 17th NovemberSave your free place →

Mixed Topic Worksheet Grades 4/5: Day 081

Grades 4/5Non-calculator

  1. Question 1. Jon converts a percentage into the fraction dfrac1120 Work out the percentage that Jon started with.

    Show worked answerHide worked answer
    1. B1: 55%
    Answer: 55%
    Writing Decimals & Percentages as Fractions
    [1 mark]

  2. Question 2. Dev rearranges 3x + y = 7 to make y the subject.
    Here is his working.
    y = 7 + 3x
    Is Dev correct?
    You must give a reason for your answer.

    Show worked answerHide worked answer
    1. M1: y = 7 - 3x shown, or a check with x = 1 giving y = 4
    2. A1: no, with 7 + 3x compared with 7 - 3x
    Answer: No. Subtracting 3x from both sides gives y = 7 - 3x, so Dev has the wrong sign on 3x.
    Rearranging to the Form y = mx + c
    [2 marks]

  3. Question 3. A spinner has four colours.
    The probabilities of red, blue and green are 0.2, 0.35 and 0.15
    The probability of yellow is square
    Write the missing number.

    Show worked answerHide worked answer
    1. M1: 0.2 + 0.35 + 0.15 = 0.7
    2. A1: 1 − 0.7 = 0.3
    Answer: 0.3
    Calculating Probabilities
    [2 marks]

  4. Question 4. The diagram shows a shape. All the angles are right angles.
    Work out the perimeter of the shape.

    Show worked answerHide worked answer
    1. M1: the inner bottom is 18 - 5 - 4 = 9 and the left side is 11
    2. M1: 18 + 11 + 4 + 6 + 9 + 6 + 5 + 11
    3. A1: 70
    Answer: 70 cm
    Perimeter of Compound Shapes
    18 cm11 cm4 cm6 cm5 cmNot drawn accurately
    [3 marks]

  5. Question 5. Solve the simultaneous equations
    2x + y = 9
    x - y = 3

    Show worked answerHide worked answer
    1. M1: Add the equations to eliminate y: 3x = 12
    2. M1: Substitute x = 4 into one equation to find y
    3. A1: x = 4 and y = 1
    Answer: x = 4, y = 1
    Solving Linear Simultaneous Equations
    [3 marks]