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

Mixed Topic Worksheet Grades 4/5: Day 013

Grades 4/5Non-calculator
  1. Question 1. Shape A is drawn on the grid.
    Reflect shape A in the y-axis.
    Label the image B.

    Show worked answerHide worked answer
    1. B2: image B drawn with vertices (−2, 1), (−5, 1), (−2, 4) (one mark for two correct vertices or the right shape on the wrong side of the line)
    xy24AB−6−4−22460
    Answer: Image B has vertices (−2, 1), (−5, 1), (−2, 4)
    Reflections
    xy24A−6−4−22460
    [2 marks]
  2. Question 2. Work out dfrac811 - dfrac311

    Show worked answerHide worked answer
    1. M1: 8 - 3 = 5
    2. A1: dfrac511
    Answer: dfrac511
    Subtracting Fractions
    [2 marks]
  3. Question 3. Which set of side lengths forms a right-angled triangle?
    A: 6, 7, 9 cm B: 8, 15, 17 cm C: 9, 10, 14 cm D: 5, 11, 12 cm

    Show worked answerHide worked answer
    1. M1: tests 8² + 15² = 64 + 225 = 289 = 17²
    2. A1: B
    Answer: B
    Using Pythagoras to Find a Hypotenuse
    [2 marks]
  4. Question 4. The diagram shows the graph of y = x² - 2x - 3
    Write down the equation of the line of symmetry of the graph.

    Show worked answerHide worked answer
    1. M1: the graph crosses the x-axis at x = -1 and x = 3, or the turning point is at x = 1
    2. A1: x = 1
    Answer: x = 1
    General Shape of a Quadratic
    xy−4−224−2−11234
    [2 marks]
  5. Question 5. The probability that a bus is late is 0.2
    The probability that a train is late is 0.1
    The two events are independent.
    Work out the probability that the bus and the train are both late.

    Show worked answerHide worked answer
    1. M1: 0.2 × 0.1
    2. A1: 0.02
    Answer: 0.02
    And/Or Rules
    [2 marks]
📅 Free lesson: Tue 17th NovSave your place →

Mixed Topic Worksheet Grades 4/5: Day 013

Grades 4/5Non-calculator
  1. Question 1. Shape A is drawn on the grid.
    Reflect shape A in the y-axis.
    Label the image B.

    [2 marks]
    xy24A−6−4−22460
    Show worked answerHide worked answer
    1. B2: image B drawn with vertices (−2, 1), (−5, 1), (−2, 4) (one mark for two correct vertices or the right shape on the wrong side of the line)
    xy24AB−6−4−22460
    Answer: Image B has vertices (−2, 1), (−5, 1), (−2, 4)
    Reflections
  2. Question 2. Work out dfrac811 - dfrac311

    [2 marks]
    Show worked answerHide worked answer
    1. M1: 8 - 3 = 5
    2. A1: dfrac511
    Answer: dfrac511
    Subtracting Fractions
  3. Question 3. Which set of side lengths forms a right-angled triangle?
    A: 6, 7, 9 cm B: 8, 15, 17 cm C: 9, 10, 14 cm D: 5, 11, 12 cm

    [2 marks]
    Show worked answerHide worked answer
    1. M1: tests 8² + 15² = 64 + 225 = 289 = 17²
    2. A1: B
    Answer: B
    Using Pythagoras to Find a Hypotenuse
  4. Question 4. The diagram shows the graph of y = x² - 2x - 3
    Write down the equation of the line of symmetry of the graph.

    [2 marks]
    xy−4−224−2−11234
    Show worked answerHide worked answer
    1. M1: the graph crosses the x-axis at x = -1 and x = 3, or the turning point is at x = 1
    2. A1: x = 1
    Answer: x = 1
    General Shape of a Quadratic
  5. Question 5. The probability that a bus is late is 0.2
    The probability that a train is late is 0.1
    The two events are independent.
    Work out the probability that the bus and the train are both late.

    [2 marks]
    Show worked answerHide worked answer
    1. M1: 0.2 × 0.1
    2. A1: 0.02
    Answer: 0.02
    And/Or Rules
📅 Free live lesson: Tuesday 17th NovemberSave your free place →

Mixed Topic Worksheet Grades 4/5: Day 013

Grades 4/5Non-calculator
  1. Question 1. Shape A is drawn on the grid.
    Reflect shape A in the y-axis.
    Label the image B.

    Show worked answerHide worked answer
    1. B2: image B drawn with vertices (−2, 1), (−5, 1), (−2, 4) (one mark for two correct vertices or the right shape on the wrong side of the line)
    xy24AB−6−4−22460
    Answer: Image B has vertices (−2, 1), (−5, 1), (−2, 4)
    Reflections
    xy24A−6−4−22460
    [2 marks]
  2. Question 2. Work out dfrac811 - dfrac311

    Show worked answerHide worked answer
    1. M1: 8 - 3 = 5
    2. A1: dfrac511
    Answer: dfrac511
    Subtracting Fractions
    [2 marks]
  3. Question 3. Which set of side lengths forms a right-angled triangle?
    A: 6, 7, 9 cm B: 8, 15, 17 cm C: 9, 10, 14 cm D: 5, 11, 12 cm

    Show worked answerHide worked answer
    1. M1: tests 8² + 15² = 64 + 225 = 289 = 17²
    2. A1: B
    Answer: B
    Using Pythagoras to Find a Hypotenuse
    [2 marks]
  4. Question 4. The diagram shows the graph of y = x² - 2x - 3
    Write down the equation of the line of symmetry of the graph.

    Show worked answerHide worked answer
    1. M1: the graph crosses the x-axis at x = -1 and x = 3, or the turning point is at x = 1
    2. A1: x = 1
    Answer: x = 1
    General Shape of a Quadratic
    xy−4−224−2−11234
    [2 marks]
  5. Question 5. The probability that a bus is late is 0.2
    The probability that a train is late is 0.1
    The two events are independent.
    Work out the probability that the bus and the train are both late.

    Show worked answerHide worked answer
    1. M1: 0.2 × 0.1
    2. A1: 0.02
    Answer: 0.02
    And/Or Rules
    [2 marks]