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

Mixed Topic Worksheet Grades 4/5: Day 008

Grades 4/5Non-calculator

  1. Question 1. 60 pupils are left-handed or right-handed.
    35 of the pupils are girls.
    17 of the pupils are left-handed.
    8 of the boys are left-handed.
    Work out the number of girls who are right-handed.

    Show worked answerHide worked answer
    1. M1: 17 - 8 = 9 girls left-handed
    2. M1: 35 - 9
    3. A1: 26
    Answer: 26
    Constructing Two-Way Tables
    Left-handedRight-handedTotalBoysGirlsTotal
    [3 marks]

  2. Question 2. The area of a rectangle is 24y⁷ cm². The length of the rectangle is 6y³ cm. Work out the width of the rectangle in terms of y.

    Show worked answerHide worked answer
    1. M1: 24 ÷ 6 = 4 or y⁷ ÷ y³
    2. A1: 4y⁴ cm
    Answer: 4y⁴ cm
    Simplifying Powers
    [2 marks]

  3. Question 3. An arithmetic sequence begins
    12 qquad 9 qquad 6 qquad 3 qquad ldots
    Tara says the nth term is 3n + 9.
    Dan says the nth term is 15 - 3n.
    Who is correct? You must show how you know.

    Show worked answerHide worked answer
    1. M1: works out Tara's 2nd term, 3 × 2 + 9 = 15, which is not the 2nd term, 9
    2. M1: works out Dan's 2nd term, 15 - 3 × 2 = 9, which matches the 2nd term
    3. A1: Dan is correct
    Answer: Dan: 15 - 3 × 2 = 9 but 3 × 2 + 9 = 15
    nth Term of Linear Sequences
    [3 marks]

  4. Question 4. P(A)=0.45 and P(Acap B)=0.15. Work out P(Acap B').

    Show worked answerHide worked answer
    1. M1: A only =0.45-0.15
    2. A1: 0.3
    Answer: 0.3
    Finding Probabilities with Venn Diagrams
    [2 marks]

  5. Question 5. Here is a table of values for y = dfrac10x
    Complete the table of values.

    Show worked answerHide worked answer
    1. M1: Divides 10 by a given x value, for example 10 ÷ (-2) or 10 ÷ 1
    2. A1: -5, 10 and 2 in the table
    x-5-2-1125y-2-5-101052
    Answer: -5, 10, 2
    Sketching Reciprocal Graphs
    x-5-2-1125y-2-105
    [2 marks]
📅 Free lesson: Tue 17th NovSave your place →

Mixed Topic Worksheet Grades 4/5: Day 008

Grades 4/5Non-calculator

  1. Question 1. 60 pupils are left-handed or right-handed.
    35 of the pupils are girls.
    17 of the pupils are left-handed.
    8 of the boys are left-handed.
    Work out the number of girls who are right-handed.

    [3 marks]
    Left-handedRight-handedTotalBoysGirlsTotal
    Show worked answerHide worked answer
    1. M1: 17 - 8 = 9 girls left-handed
    2. M1: 35 - 9
    3. A1: 26
    Answer: 26
    Constructing Two-Way Tables

  2. Question 2. The area of a rectangle is 24y⁷ cm². The length of the rectangle is 6y³ cm. Work out the width of the rectangle in terms of y.

    [2 marks]
    Show worked answerHide worked answer
    1. M1: 24 ÷ 6 = 4 or y⁷ ÷ y³
    2. A1: 4y⁴ cm
    Answer: 4y⁴ cm
    Simplifying Powers

  3. Question 3. An arithmetic sequence begins
    12 qquad 9 qquad 6 qquad 3 qquad ldots
    Tara says the nth term is 3n + 9.
    Dan says the nth term is 15 - 3n.
    Who is correct? You must show how you know.

    [3 marks]
    Show worked answerHide worked answer
    1. M1: works out Tara's 2nd term, 3 × 2 + 9 = 15, which is not the 2nd term, 9
    2. M1: works out Dan's 2nd term, 15 - 3 × 2 = 9, which matches the 2nd term
    3. A1: Dan is correct
    Answer: Dan: 15 - 3 × 2 = 9 but 3 × 2 + 9 = 15
    nth Term of Linear Sequences

  4. Question 4. P(A)=0.45 and P(Acap B)=0.15. Work out P(Acap B').

    [2 marks]
    Show worked answerHide worked answer
    1. M1: A only =0.45-0.15
    2. A1: 0.3
    Answer: 0.3
    Finding Probabilities with Venn Diagrams

  5. Question 5. Here is a table of values for y = dfrac10x
    Complete the table of values.

    [2 marks]
    x-5-2-1125y-2-105
    Show worked answerHide worked answer
    1. M1: Divides 10 by a given x value, for example 10 ÷ (-2) or 10 ÷ 1
    2. A1: -5, 10 and 2 in the table
    x-5-2-1125y-2-5-101052
    Answer: -5, 10, 2
    Sketching Reciprocal Graphs
📅 Free live lesson: Tuesday 17th NovemberSave your free place →

Mixed Topic Worksheet Grades 4/5: Day 008

Grades 4/5Non-calculator

  1. Question 1. 60 pupils are left-handed or right-handed.
    35 of the pupils are girls.
    17 of the pupils are left-handed.
    8 of the boys are left-handed.
    Work out the number of girls who are right-handed.

    Show worked answerHide worked answer
    1. M1: 17 - 8 = 9 girls left-handed
    2. M1: 35 - 9
    3. A1: 26
    Answer: 26
    Constructing Two-Way Tables
    Left-handedRight-handedTotalBoysGirlsTotal
    [3 marks]

  2. Question 2. The area of a rectangle is 24y⁷ cm². The length of the rectangle is 6y³ cm. Work out the width of the rectangle in terms of y.

    Show worked answerHide worked answer
    1. M1: 24 ÷ 6 = 4 or y⁷ ÷ y³
    2. A1: 4y⁴ cm
    Answer: 4y⁴ cm
    Simplifying Powers
    [2 marks]

  3. Question 3. An arithmetic sequence begins
    12 qquad 9 qquad 6 qquad 3 qquad ldots
    Tara says the nth term is 3n + 9.
    Dan says the nth term is 15 - 3n.
    Who is correct? You must show how you know.

    Show worked answerHide worked answer
    1. M1: works out Tara's 2nd term, 3 × 2 + 9 = 15, which is not the 2nd term, 9
    2. M1: works out Dan's 2nd term, 15 - 3 × 2 = 9, which matches the 2nd term
    3. A1: Dan is correct
    Answer: Dan: 15 - 3 × 2 = 9 but 3 × 2 + 9 = 15
    nth Term of Linear Sequences
    [3 marks]

  4. Question 4. P(A)=0.45 and P(Acap B)=0.15. Work out P(Acap B').

    Show worked answerHide worked answer
    1. M1: A only =0.45-0.15
    2. A1: 0.3
    Answer: 0.3
    Finding Probabilities with Venn Diagrams
    [2 marks]

  5. Question 5. Here is a table of values for y = dfrac10x
    Complete the table of values.

    Show worked answerHide worked answer
    1. M1: Divides 10 by a given x value, for example 10 ÷ (-2) or 10 ÷ 1
    2. A1: -5, 10 and 2 in the table
    x-5-2-1125y-2-5-101052
    Answer: -5, 10, 2
    Sketching Reciprocal Graphs
    x-5-2-1125y-2-105
    [2 marks]