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

Mixed Topic Worksheet Grades 4/5: Day 037

Grades 4/5Non-calculator

  1. Question 1. A fair 10-sided dice has faces numbered 1 to 10.
    The dice is rolled once.
    Work out the probability of getting a prime number.

    Show worked answerHide worked answer
    1. M1: dfrac410 as 2, 3, 5 and 7 are the prime numbers
    2. A1: dfrac25
    Answer: dfrac25
    Fair Objects
    [2 marks]

  2. Question 2. The line mathbfL is shown on the grid.
    Work out the equation of mathbfL.

    Show worked answerHide worked answer
    1. M1: the gradient 2 from two points, or the intercept -2 read from the graph
    2. A1: y = 2x - 2
    Answer: y = 2x - 2
    Sketching Straight Lines Using y = mx + c
    xy−4−2246L−11234
    [2 marks]

  3. Question 3. Use a ruler and compasses to construct an equilateral triangle with sides of length 7.5 cm.
    Show all your construction lines.

    Show worked answerHide worked answer
    1. M1: line of length 7.5 cm drawn, then two arcs of radius 7.5 cm from its ends crossing at C
    2. A1: both sides each 7.5 cm, with every angle 60 degrees, to within 2 mm
    ABC
    Answer: An equilateral triangle with each side 7.5 cm.
    Drawing a 60° Angle
    [2 marks]

  4. Question 4. Work out 2.5 × 10³ + 4.1 × 10²
    Give your answer as an ordinary number.

    Show worked answerHide worked answer
    1. M1: Writes both numbers as ordinary numbers: 2.5 × 10³ and 4.1 × 10²
    2. A1: 2910
    Answer: 2910
    Adding & Subtracting in Standard Form
    [2 marks]

  5. Question 5. Here is triangle ABC.
    Work out the size of angle BAC.

    Show worked answerHide worked answer
    1. M1: sin A = dfrac8√316 = dfrac√32
    2. A1: 60
    Answer: 60
    SOH, CAH, TOA with Exact Trig Values
    8√3 cm16 cmABC
    [2 marks]
📅 Free lesson: Tue 17th NovSave your place →

Mixed Topic Worksheet Grades 4/5: Day 037

Grades 4/5Non-calculator

  1. Question 1. A fair 10-sided dice has faces numbered 1 to 10.
    The dice is rolled once.
    Work out the probability of getting a prime number.

    [2 marks]
    Show worked answerHide worked answer
    1. M1: dfrac410 as 2, 3, 5 and 7 are the prime numbers
    2. A1: dfrac25
    Answer: dfrac25
    Fair Objects

  2. Question 2. The line mathbfL is shown on the grid.
    Work out the equation of mathbfL.

    [2 marks]
    xy−4−2246L−11234
    Show worked answerHide worked answer
    1. M1: the gradient 2 from two points, or the intercept -2 read from the graph
    2. A1: y = 2x - 2
    Answer: y = 2x - 2
    Sketching Straight Lines Using y = mx + c

  3. Question 3. Use a ruler and compasses to construct an equilateral triangle with sides of length 7.5 cm.
    Show all your construction lines.

    [2 marks]
    Show worked answerHide worked answer
    1. M1: line of length 7.5 cm drawn, then two arcs of radius 7.5 cm from its ends crossing at C
    2. A1: both sides each 7.5 cm, with every angle 60 degrees, to within 2 mm
    ABC
    Answer: An equilateral triangle with each side 7.5 cm.
    Drawing a 60° Angle

  4. Question 4. Work out 2.5 × 10³ + 4.1 × 10²
    Give your answer as an ordinary number.

    [2 marks]
    Show worked answerHide worked answer
    1. M1: Writes both numbers as ordinary numbers: 2.5 × 10³ and 4.1 × 10²
    2. A1: 2910
    Answer: 2910
    Adding & Subtracting in Standard Form

  5. Question 5. Here is triangle ABC.
    Work out the size of angle BAC.

    [2 marks]
    8√3 cm16 cmABC
    Show worked answerHide worked answer
    1. M1: sin A = dfrac8√316 = dfrac√32
    2. A1: 60
    Answer: 60
    SOH, CAH, TOA with Exact Trig Values
📅 Free live lesson: Tuesday 17th NovemberSave your free place →

Mixed Topic Worksheet Grades 4/5: Day 037

Grades 4/5Non-calculator

  1. Question 1. A fair 10-sided dice has faces numbered 1 to 10.
    The dice is rolled once.
    Work out the probability of getting a prime number.

    Show worked answerHide worked answer
    1. M1: dfrac410 as 2, 3, 5 and 7 are the prime numbers
    2. A1: dfrac25
    Answer: dfrac25
    Fair Objects
    [2 marks]

  2. Question 2. The line mathbfL is shown on the grid.
    Work out the equation of mathbfL.

    Show worked answerHide worked answer
    1. M1: the gradient 2 from two points, or the intercept -2 read from the graph
    2. A1: y = 2x - 2
    Answer: y = 2x - 2
    Sketching Straight Lines Using y = mx + c
    xy−4−2246L−11234
    [2 marks]

  3. Question 3. Use a ruler and compasses to construct an equilateral triangle with sides of length 7.5 cm.
    Show all your construction lines.

    Show worked answerHide worked answer
    1. M1: line of length 7.5 cm drawn, then two arcs of radius 7.5 cm from its ends crossing at C
    2. A1: both sides each 7.5 cm, with every angle 60 degrees, to within 2 mm
    ABC
    Answer: An equilateral triangle with each side 7.5 cm.
    Drawing a 60° Angle
    [2 marks]

  4. Question 4. Work out 2.5 × 10³ + 4.1 × 10²
    Give your answer as an ordinary number.

    Show worked answerHide worked answer
    1. M1: Writes both numbers as ordinary numbers: 2.5 × 10³ and 4.1 × 10²
    2. A1: 2910
    Answer: 2910
    Adding & Subtracting in Standard Form
    [2 marks]

  5. Question 5. Here is triangle ABC.
    Work out the size of angle BAC.

    Show worked answerHide worked answer
    1. M1: sin A = dfrac8√316 = dfrac√32
    2. A1: 60
    Answer: 60
    SOH, CAH, TOA with Exact Trig Values
    8√3 cm16 cmABC
    [2 marks]