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Mixed Topic Worksheet Grades 4/5: Day 010

Grades 4/5Calculator

  1. Question 1. Work out 3.6 + 2.7

    Show worked answerHide worked answer
    1. B1: 6.3
    Answer: 6.3
    Adding Decimals
    [1 mark]

  2. Question 2. 40 students are each in Year 10 or Year 11.
    Ali draws a frequency tree.
    He writes 40 at the start.
    He writes 25 on the Year 10 branch.
    He writes 20 on the Year 11 branch.
    Is Ali's tree correct?
    Give a reason for your answer.

    Show worked answerHide worked answer
    1. M1: 25 + 20 = 45
    2. A1: No, 45 is not 40
    Answer: No, 25 + 20 = 45 but there are 40 students
    Constructing Frequency Trees
    [2 marks]

  3. Question 3. Three friends share a bill of (6x + 21) pounds equally.
    Work out an expression for how much each friend pays, in pounds.

    Show worked answerHide worked answer
    1. M1: 6x ÷ 3 = 2x or 21 ÷ 3 = 7
    2. A1: 2x + 7
    Answer: 2x + 7
    Factorising Single Brackets
    [2 marks]

  4. Question 4. Dan works out the distance between P(0, 1) and Q(5, 13).
    His working is
    5 + 12 = 17
    Dan says the distance between P and Q is 17.
    Is Dan correct? You must give a reason for your answer.

    Show worked answerHide worked answer
    1. M1: √5² + 12²
    2. A1: 13, so Dan is not correct
    Answer: No. The distance is √5² + 12² = 13
    Finding the Distance Between Two Points
    [2 marks]

  5. Question 5. Here is a cylinder. Work out the volume of the cylinder.
    Give your answer to 3 significant figures.

    Show worked answerHide worked answer
    1. M1: 12 ÷ 2 = 6
    2. M1: π × 6² × 15
    3. A1: 1700
    Answer: 1700
    Volume of Cylinders
    15 cm12 cm
    [3 marks]
📅 Free lesson: Tue 17th NovSave your place →

Mixed Topic Worksheet Grades 4/5: Day 010

Grades 4/5Calculator

  1. Question 1. Work out 3.6 + 2.7

    [1 mark]
    Show worked answerHide worked answer
    1. B1: 6.3
    Answer: 6.3
    Adding Decimals

  2. Question 2. 40 students are each in Year 10 or Year 11.
    Ali draws a frequency tree.
    He writes 40 at the start.
    He writes 25 on the Year 10 branch.
    He writes 20 on the Year 11 branch.
    Is Ali's tree correct?
    Give a reason for your answer.

    [2 marks]
    Show worked answerHide worked answer
    1. M1: 25 + 20 = 45
    2. A1: No, 45 is not 40
    Answer: No, 25 + 20 = 45 but there are 40 students
    Constructing Frequency Trees

  3. Question 3. Three friends share a bill of (6x + 21) pounds equally.
    Work out an expression for how much each friend pays, in pounds.

    [2 marks]
    Show worked answerHide worked answer
    1. M1: 6x ÷ 3 = 2x or 21 ÷ 3 = 7
    2. A1: 2x + 7
    Answer: 2x + 7
    Factorising Single Brackets

  4. Question 4. Dan works out the distance between P(0, 1) and Q(5, 13).
    His working is
    5 + 12 = 17
    Dan says the distance between P and Q is 17.
    Is Dan correct? You must give a reason for your answer.

    [2 marks]
    Show worked answerHide worked answer
    1. M1: √5² + 12²
    2. A1: 13, so Dan is not correct
    Answer: No. The distance is √5² + 12² = 13
    Finding the Distance Between Two Points

  5. Question 5. Here is a cylinder. Work out the volume of the cylinder.
    Give your answer to 3 significant figures.

    [3 marks]
    15 cm12 cm
    Show worked answerHide worked answer
    1. M1: 12 ÷ 2 = 6
    2. M1: π × 6² × 15
    3. A1: 1700
    Answer: 1700
    Volume of Cylinders
📅 Free live lesson: Tuesday 17th NovemberSave your free place →

Mixed Topic Worksheet Grades 4/5: Day 010

Grades 4/5Calculator

  1. Question 1. Work out 3.6 + 2.7

    Show worked answerHide worked answer
    1. B1: 6.3
    Answer: 6.3
    Adding Decimals
    [1 mark]

  2. Question 2. 40 students are each in Year 10 or Year 11.
    Ali draws a frequency tree.
    He writes 40 at the start.
    He writes 25 on the Year 10 branch.
    He writes 20 on the Year 11 branch.
    Is Ali's tree correct?
    Give a reason for your answer.

    Show worked answerHide worked answer
    1. M1: 25 + 20 = 45
    2. A1: No, 45 is not 40
    Answer: No, 25 + 20 = 45 but there are 40 students
    Constructing Frequency Trees
    [2 marks]

  3. Question 3. Three friends share a bill of (6x + 21) pounds equally.
    Work out an expression for how much each friend pays, in pounds.

    Show worked answerHide worked answer
    1. M1: 6x ÷ 3 = 2x or 21 ÷ 3 = 7
    2. A1: 2x + 7
    Answer: 2x + 7
    Factorising Single Brackets
    [2 marks]

  4. Question 4. Dan works out the distance between P(0, 1) and Q(5, 13).
    His working is
    5 + 12 = 17
    Dan says the distance between P and Q is 17.
    Is Dan correct? You must give a reason for your answer.

    Show worked answerHide worked answer
    1. M1: √5² + 12²
    2. A1: 13, so Dan is not correct
    Answer: No. The distance is √5² + 12² = 13
    Finding the Distance Between Two Points
    [2 marks]

  5. Question 5. Here is a cylinder. Work out the volume of the cylinder.
    Give your answer to 3 significant figures.

    Show worked answerHide worked answer
    1. M1: 12 ÷ 2 = 6
    2. M1: π × 6² × 15
    3. A1: 1700
    Answer: 1700
    Volume of Cylinders
    15 cm12 cm
    [3 marks]