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

Mixed Topic Worksheet Grades 4/5: Day 007

Grades 4/5Non-calculator

  1. Question 1. On the grid, draw the line x = 3
    On the same grid, draw the line y = -2

    Show worked answerHide worked answer
    1. B1: a vertical line through x = 3
    2. B1: a horizontal line through y = -2
    xyx = 3y = −2−4−224−4−224
    Answer: A vertical line through (3, 0) and a horizontal line through (0, -2)
    Vertical & Horizontal Lines
    xy−4−224−4−224
    [2 marks]

  2. Question 2. Lee changes 2.4 hours to hours and minutes.

    0.4 hours = 40 minutes

    He says 2.4 hours is 2 hours 40 minutes.

    Is he correct? You must show working.

    Show worked answerHide worked answer
    1. M1: 0.4 × 60
    2. A1: 2 hours 24 minutes, so no
    Answer: No. 0.4 × 60 = 24, so 2 hours 24 minutes
    Time Conversions
    [2 marks]

  3. Question 3. A line of best fit passes through the points (10, 24) and (50, 64).

    Use the line to estimate the value of y when x = 30.

    Show worked answerHide worked answer
    1. M1: (24 + 64) ÷ 2
    2. A1: 44
    Answer: 44
    Lines of Best Fit & Predicting Values
    [2 marks]

  4. Question 4. Prove that 4(2x + 3) - 3(x + 2) = 5x + 6

    Show worked answerHide worked answer
    1. M1: 8x + 12 - 3x - 6
    2. M1: 5x + 6 from collecting the terms in x and the numbers
    3. C1: both sides are the same, so the statement is true for every value of x
    Answer: 8x + 12 - 3x - 6 = 5x + 6
    Proving Equivalence
    [3 marks]

  5. Question 5. The diagram shows a shape.
    The two sloping sides are equal in length.
    The two vertical sides are equal in length.
    The perimeter of the shape is 52 cm.
    Work out the value of x.

    Show worked answerHide worked answer
    1. M1: 14 + 8 + 8 + 2x = 52
    2. M1: 2x = 22
    3. A1: 11
    Answer: 11 cm
    Perimeter of Compound Shapes
    14 cmx8 cmxNot drawn accurately
    [3 marks]
📅 Free lesson: Tue 17th NovSave your place →

Mixed Topic Worksheet Grades 4/5: Day 007

Grades 4/5Non-calculator

  1. Question 1. On the grid, draw the line x = 3
    On the same grid, draw the line y = -2

    [2 marks]
    xy−4−224−4−224
    Show worked answerHide worked answer
    1. B1: a vertical line through x = 3
    2. B1: a horizontal line through y = -2
    xyx = 3y = −2−4−224−4−224
    Answer: A vertical line through (3, 0) and a horizontal line through (0, -2)
    Vertical & Horizontal Lines

  2. Question 2. Lee changes 2.4 hours to hours and minutes.

    0.4 hours = 40 minutes

    He says 2.4 hours is 2 hours 40 minutes.

    Is he correct? You must show working.

    [2 marks]
    Show worked answerHide worked answer
    1. M1: 0.4 × 60
    2. A1: 2 hours 24 minutes, so no
    Answer: No. 0.4 × 60 = 24, so 2 hours 24 minutes
    Time Conversions

  3. Question 3. A line of best fit passes through the points (10, 24) and (50, 64).

    Use the line to estimate the value of y when x = 30.

    [2 marks]
    Show worked answerHide worked answer
    1. M1: (24 + 64) ÷ 2
    2. A1: 44
    Answer: 44
    Lines of Best Fit & Predicting Values

  4. Question 4. Prove that 4(2x + 3) - 3(x + 2) = 5x + 6

    [3 marks]
    Show worked answerHide worked answer
    1. M1: 8x + 12 - 3x - 6
    2. M1: 5x + 6 from collecting the terms in x and the numbers
    3. C1: both sides are the same, so the statement is true for every value of x
    Answer: 8x + 12 - 3x - 6 = 5x + 6
    Proving Equivalence

  5. Question 5. The diagram shows a shape.
    The two sloping sides are equal in length.
    The two vertical sides are equal in length.
    The perimeter of the shape is 52 cm.
    Work out the value of x.

    [3 marks]
    14 cmx8 cmxNot drawn accurately
    Show worked answerHide worked answer
    1. M1: 14 + 8 + 8 + 2x = 52
    2. M1: 2x = 22
    3. A1: 11
    Answer: 11 cm
    Perimeter of Compound Shapes
📅 Free live lesson: Tuesday 17th NovemberSave your free place →

Mixed Topic Worksheet Grades 4/5: Day 007

Grades 4/5Non-calculator

  1. Question 1. On the grid, draw the line x = 3
    On the same grid, draw the line y = -2

    Show worked answerHide worked answer
    1. B1: a vertical line through x = 3
    2. B1: a horizontal line through y = -2
    xyx = 3y = −2−4−224−4−224
    Answer: A vertical line through (3, 0) and a horizontal line through (0, -2)
    Vertical & Horizontal Lines
    xy−4−224−4−224
    [2 marks]

  2. Question 2. Lee changes 2.4 hours to hours and minutes.

    0.4 hours = 40 minutes

    He says 2.4 hours is 2 hours 40 minutes.

    Is he correct? You must show working.

    Show worked answerHide worked answer
    1. M1: 0.4 × 60
    2. A1: 2 hours 24 minutes, so no
    Answer: No. 0.4 × 60 = 24, so 2 hours 24 minutes
    Time Conversions
    [2 marks]

  3. Question 3. A line of best fit passes through the points (10, 24) and (50, 64).

    Use the line to estimate the value of y when x = 30.

    Show worked answerHide worked answer
    1. M1: (24 + 64) ÷ 2
    2. A1: 44
    Answer: 44
    Lines of Best Fit & Predicting Values
    [2 marks]

  4. Question 4. Prove that 4(2x + 3) - 3(x + 2) = 5x + 6

    Show worked answerHide worked answer
    1. M1: 8x + 12 - 3x - 6
    2. M1: 5x + 6 from collecting the terms in x and the numbers
    3. C1: both sides are the same, so the statement is true for every value of x
    Answer: 8x + 12 - 3x - 6 = 5x + 6
    Proving Equivalence
    [3 marks]

  5. Question 5. The diagram shows a shape.
    The two sloping sides are equal in length.
    The two vertical sides are equal in length.
    The perimeter of the shape is 52 cm.
    Work out the value of x.

    Show worked answerHide worked answer
    1. M1: 14 + 8 + 8 + 2x = 52
    2. M1: 2x = 22
    3. A1: 11
    Answer: 11 cm
    Perimeter of Compound Shapes
    14 cmx8 cmxNot drawn accurately
    [3 marks]