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Mixed Topic Worksheet Grades 4/5: Day 079

Grades 4/5Non-calculator

  1. Question 1. The value of 5m + 2 is 27.
    Work out the value of m.

    Show worked answerHide worked answer
    1. M1: forms 5m = 27 - 2
    2. A1: m = 5
    Answer: 5
    Substitution
    [2 marks]

  2. Question 2. A spinner is spun 150 times.
    The number of times you expect it to land on blue is 45.
    Work out the probability that the spinner lands on blue.

    Show worked answerHide worked answer
    1. M1: 45 ÷ 150
    2. A1: 0.3
    Answer: 0.3
    Expected Frequency
    [2 marks]

  3. Question 3. Here is a line PQ.
    Use ruler and compasses to construct an equilateral triangle PQR.
    You must show all your construction lines.

    Show worked answerHide worked answer
    1. M1: an arc of radius PQ centred on P
    2. M1: an arc of radius PQ centred on Q, crossing the first arc at R
    3. A1: R joined to P and to Q, both sides equal to PQ, to within 2 mm
    PQR
    Answer: An equilateral triangle PQR on the line PQ, construction arcs shown
    Drawing a 60° Angle
    PQ
    [3 marks]

  4. Question 4. The diagram shows the graph of y = x² - 4x
    Write down the roots of x² - 4x = 0

    Show worked answerHide worked answer
    1. M1: the graph crosses the x-axis at (0, 0) and (4, 0)
    2. A1: x = 0 and x = 4
    Answer: x = 0 and x = 4
    Identifying the Roots of a Quadratic from a Graph
    xy−4−224−112345
    [2 marks]

  5. Question 5. A ramp is 12 m long.
    It rises at an angle of 30^° to the horizontal.
    Work out the vertical height of the top of the ramp above the ground.

    Show worked answerHide worked answer
    1. M1: 12 × sin 30^°
    2. A1: 6
    Answer: 6
    Applied Exact Trig Values Questions
    [2 marks]
📅 Free lesson: Tue 17th NovSave your place →

Mixed Topic Worksheet Grades 4/5: Day 079

Grades 4/5Non-calculator

  1. Question 1. The value of 5m + 2 is 27.
    Work out the value of m.

    [2 marks]
    Show worked answerHide worked answer
    1. M1: forms 5m = 27 - 2
    2. A1: m = 5
    Answer: 5
    Substitution

  2. Question 2. A spinner is spun 150 times.
    The number of times you expect it to land on blue is 45.
    Work out the probability that the spinner lands on blue.

    [2 marks]
    Show worked answerHide worked answer
    1. M1: 45 ÷ 150
    2. A1: 0.3
    Answer: 0.3
    Expected Frequency

  3. Question 3. Here is a line PQ.
    Use ruler and compasses to construct an equilateral triangle PQR.
    You must show all your construction lines.

    [3 marks]
    PQ
    Show worked answerHide worked answer
    1. M1: an arc of radius PQ centred on P
    2. M1: an arc of radius PQ centred on Q, crossing the first arc at R
    3. A1: R joined to P and to Q, both sides equal to PQ, to within 2 mm
    PQR
    Answer: An equilateral triangle PQR on the line PQ, construction arcs shown
    Drawing a 60° Angle

  4. Question 4. The diagram shows the graph of y = x² - 4x
    Write down the roots of x² - 4x = 0

    [2 marks]
    xy−4−224−112345
    Show worked answerHide worked answer
    1. M1: the graph crosses the x-axis at (0, 0) and (4, 0)
    2. A1: x = 0 and x = 4
    Answer: x = 0 and x = 4
    Identifying the Roots of a Quadratic from a Graph

  5. Question 5. A ramp is 12 m long.
    It rises at an angle of 30^° to the horizontal.
    Work out the vertical height of the top of the ramp above the ground.

    [2 marks]
    Show worked answerHide worked answer
    1. M1: 12 × sin 30^°
    2. A1: 6
    Answer: 6
    Applied Exact Trig Values Questions
📅 Free live lesson: Tuesday 17th NovemberSave your free place →

Mixed Topic Worksheet Grades 4/5: Day 079

Grades 4/5Non-calculator

  1. Question 1. The value of 5m + 2 is 27.
    Work out the value of m.

    Show worked answerHide worked answer
    1. M1: forms 5m = 27 - 2
    2. A1: m = 5
    Answer: 5
    Substitution
    [2 marks]

  2. Question 2. A spinner is spun 150 times.
    The number of times you expect it to land on blue is 45.
    Work out the probability that the spinner lands on blue.

    Show worked answerHide worked answer
    1. M1: 45 ÷ 150
    2. A1: 0.3
    Answer: 0.3
    Expected Frequency
    [2 marks]

  3. Question 3. Here is a line PQ.
    Use ruler and compasses to construct an equilateral triangle PQR.
    You must show all your construction lines.

    Show worked answerHide worked answer
    1. M1: an arc of radius PQ centred on P
    2. M1: an arc of radius PQ centred on Q, crossing the first arc at R
    3. A1: R joined to P and to Q, both sides equal to PQ, to within 2 mm
    PQR
    Answer: An equilateral triangle PQR on the line PQ, construction arcs shown
    Drawing a 60° Angle
    PQ
    [3 marks]

  4. Question 4. The diagram shows the graph of y = x² - 4x
    Write down the roots of x² - 4x = 0

    Show worked answerHide worked answer
    1. M1: the graph crosses the x-axis at (0, 0) and (4, 0)
    2. A1: x = 0 and x = 4
    Answer: x = 0 and x = 4
    Identifying the Roots of a Quadratic from a Graph
    xy−4−224−112345
    [2 marks]

  5. Question 5. A ramp is 12 m long.
    It rises at an angle of 30^° to the horizontal.
    Work out the vertical height of the top of the ramp above the ground.

    Show worked answerHide worked answer
    1. M1: 12 × sin 30^°
    2. A1: 6
    Answer: 6
    Applied Exact Trig Values Questions
    [2 marks]