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

Mixed Topic Worksheet Grades 4/5: Day 093

Grades 4/5Non-calculator

  1. Question 1. Tariq buys 7 birthday cards.
    Each one costs £2.65
    Tariq pays with a £20 note.

    Work out how much change Tariq gets.

    Show worked answerHide worked answer
    1. M1: 7 × 2.65 = 18.55
    2. M1: 20 - 18.55
    3. A1: £1.45
    Answer: £1.45
    Multiplying Decimals
    [3 marks]

  2. Question 2. Dan and Eve share some money in the ratio 3 : 4
    Dan receives £24

    Work out the total amount of money Dan and Eve share.

    Show worked answerHide worked answer
    1. M1: 24 ÷ 3 = 8 in one part
    2. A1: £56
    Answer: £56
    Proportional Division
    [2 marks]

  3. Question 3. A fair coin is thrown and a fair spinner labelled 1, 2 and 3 is spun.
    List all the possible outcomes.

    Show worked answerHide worked answer
    1. B1: at least 3 correct outcomes
    2. B1: all 6: H1, H2, H3, T1, T2, T3
    Answer: H1, H2, H3, T1, T2, T3
    Sample Space Diagrams
    [2 marks]

  4. Question 4. Jen says that the solutions of x²-5x+6=0 are x=-2 and x=-3.
    Show that Jen is wrong.

    Show worked answerHide worked answer
    1. M1: substitutes x=-2 into x²-5x+6
    2. A1: 4+10+6=20, which is not 0
    Answer: When x=-2: (-2)²-5(-2)+6=20, not 0 (the solutions are x=2 and x=3)
    Solving Quadratics by Factorising (a = 1)
    [2 marks]

  5. Question 5. The cost, pounds C, of buying n tickets is given by C = 5n + k.
    The cost of 6 tickets is pounds 41.
    Work out the value of k.

    Show worked answerHide worked answer
    1. M1: 41 = 5 × 6 + k
    2. M1: 41 - 30
    3. A1: k = 11
    Answer: 11
    Finding Equations of Linear Real-Life Graphs
    [3 marks]
📅 Free lesson: Tue 17th NovSave your place →

Mixed Topic Worksheet Grades 4/5: Day 093

Grades 4/5Non-calculator

  1. Question 1. Tariq buys 7 birthday cards.
    Each one costs £2.65
    Tariq pays with a £20 note.

    Work out how much change Tariq gets.

    [3 marks]
    Show worked answerHide worked answer
    1. M1: 7 × 2.65 = 18.55
    2. M1: 20 - 18.55
    3. A1: £1.45
    Answer: £1.45
    Multiplying Decimals

  2. Question 2. Dan and Eve share some money in the ratio 3 : 4
    Dan receives £24

    Work out the total amount of money Dan and Eve share.

    [2 marks]
    Show worked answerHide worked answer
    1. M1: 24 ÷ 3 = 8 in one part
    2. A1: £56
    Answer: £56
    Proportional Division

  3. Question 3. A fair coin is thrown and a fair spinner labelled 1, 2 and 3 is spun.
    List all the possible outcomes.

    [2 marks]
    Show worked answerHide worked answer
    1. B1: at least 3 correct outcomes
    2. B1: all 6: H1, H2, H3, T1, T2, T3
    Answer: H1, H2, H3, T1, T2, T3
    Sample Space Diagrams

  4. Question 4. Jen says that the solutions of x²-5x+6=0 are x=-2 and x=-3.
    Show that Jen is wrong.

    [2 marks]
    Show worked answerHide worked answer
    1. M1: substitutes x=-2 into x²-5x+6
    2. A1: 4+10+6=20, which is not 0
    Answer: When x=-2: (-2)²-5(-2)+6=20, not 0 (the solutions are x=2 and x=3)
    Solving Quadratics by Factorising (a = 1)

  5. Question 5. The cost, pounds C, of buying n tickets is given by C = 5n + k.
    The cost of 6 tickets is pounds 41.
    Work out the value of k.

    [3 marks]
    Show worked answerHide worked answer
    1. M1: 41 = 5 × 6 + k
    2. M1: 41 - 30
    3. A1: k = 11
    Answer: 11
    Finding Equations of Linear Real-Life Graphs
📅 Free live lesson: Tuesday 17th NovemberSave your free place →

Mixed Topic Worksheet Grades 4/5: Day 093

Grades 4/5Non-calculator

  1. Question 1. Tariq buys 7 birthday cards.
    Each one costs £2.65
    Tariq pays with a £20 note.

    Work out how much change Tariq gets.

    Show worked answerHide worked answer
    1. M1: 7 × 2.65 = 18.55
    2. M1: 20 - 18.55
    3. A1: £1.45
    Answer: £1.45
    Multiplying Decimals
    [3 marks]

  2. Question 2. Dan and Eve share some money in the ratio 3 : 4
    Dan receives £24

    Work out the total amount of money Dan and Eve share.

    Show worked answerHide worked answer
    1. M1: 24 ÷ 3 = 8 in one part
    2. A1: £56
    Answer: £56
    Proportional Division
    [2 marks]

  3. Question 3. A fair coin is thrown and a fair spinner labelled 1, 2 and 3 is spun.
    List all the possible outcomes.

    Show worked answerHide worked answer
    1. B1: at least 3 correct outcomes
    2. B1: all 6: H1, H2, H3, T1, T2, T3
    Answer: H1, H2, H3, T1, T2, T3
    Sample Space Diagrams
    [2 marks]

  4. Question 4. Jen says that the solutions of x²-5x+6=0 are x=-2 and x=-3.
    Show that Jen is wrong.

    Show worked answerHide worked answer
    1. M1: substitutes x=-2 into x²-5x+6
    2. A1: 4+10+6=20, which is not 0
    Answer: When x=-2: (-2)²-5(-2)+6=20, not 0 (the solutions are x=2 and x=3)
    Solving Quadratics by Factorising (a = 1)
    [2 marks]

  5. Question 5. The cost, pounds C, of buying n tickets is given by C = 5n + k.
    The cost of 6 tickets is pounds 41.
    Work out the value of k.

    Show worked answerHide worked answer
    1. M1: 41 = 5 × 6 + k
    2. M1: 41 - 30
    3. A1: k = 11
    Answer: 11
    Finding Equations of Linear Real-Life Graphs
    [3 marks]