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

Mixed Topic Worksheet Grades 4/5: Day 025

Grades 4/5Non-calculator

  1. Question 1. Write down the three-figure bearing of the direction
    (a) due West [1]
    (b) South-East [1]

    Show worked answerHide worked answer
    1. (a) B1: 270^°
    2. (b) B1: 135^°
    Answer: (a) 270^°; (b) 135^°
    Measuring Bearings
    [2 marks]

  2. Question 2. Work out 2dfrac34 + 1dfrac23
    Give your answer as a mixed number in its simplest form.

    Show worked answerHide worked answer
    1. M1: 2 + 1 = 3 and dfrac34=dfrac912, dfrac23=dfrac812
    2. A1: 4dfrac512
    Answer: 4dfrac512
    Adding Mixed Numbers
    [2 marks]

  3. Question 3. A club has 240 members.
    140 of the members are adults and the rest are juniors.
    35 of the adults play chess.
    45 of the juniors play chess.
    A member is chosen at random.
    Work out the probability that this member is a junior who does not play chess.
    You may use a frequency tree to help you.

    Show worked answerHide worked answer
    1. M1: juniors = 240 - 140 = 100
    2. M1 M1: 100 - 45 = 55 juniors do not play chess, out of 240
    3. A1: 55/240 = 11/48
    Answer: 11/48
    Finding Probabilities with Frequency Trees
    [4 marks]

  4. Question 4. Tanks A and B have straight vertical sides and are filled at the same constant rate After 10 minutes the depth of A is 15 cm and the depth of B is 20 cm Which tank has the larger base area? Give a reason

    Show worked answerHide worked answer
    1. B1: A
    2. B1: the same volume gives the smaller depth in the tank with the larger base
    Answer: A, because the same volume gives a smaller depth
    Matching Shapes to Graphs
    [2 marks]

  5. Question 5. Solve x² + 2x - 15 = 0 [3]

    Show worked answerHide worked answer
    1. M1: (x+5)(x-3) = 0
    2. A1: x = -5
    3. A1: x = 3
    Answer: x = -5 or x = 3
    Solving Quadratics by Factorising (a = 1)
    [3 marks]
📅 Free lesson: Tue 17th NovSave your place →

Mixed Topic Worksheet Grades 4/5: Day 025

Grades 4/5Non-calculator

  1. Question 1. Write down the three-figure bearing of the direction
    (a) due West [1]
    (b) South-East [1]

    [2 marks]
    Show worked answerHide worked answer
    1. (a) B1: 270^°
    2. (b) B1: 135^°
    Answer: (a) 270^°; (b) 135^°
    Measuring Bearings

  2. Question 2. Work out 2dfrac34 + 1dfrac23
    Give your answer as a mixed number in its simplest form.

    [2 marks]
    Show worked answerHide worked answer
    1. M1: 2 + 1 = 3 and dfrac34=dfrac912, dfrac23=dfrac812
    2. A1: 4dfrac512
    Answer: 4dfrac512
    Adding Mixed Numbers

  3. Question 3. A club has 240 members.
    140 of the members are adults and the rest are juniors.
    35 of the adults play chess.
    45 of the juniors play chess.
    A member is chosen at random.
    Work out the probability that this member is a junior who does not play chess.
    You may use a frequency tree to help you.

    [4 marks]
    Show worked answerHide worked answer
    1. M1: juniors = 240 - 140 = 100
    2. M1 M1: 100 - 45 = 55 juniors do not play chess, out of 240
    3. A1: 55/240 = 11/48
    Answer: 11/48
    Finding Probabilities with Frequency Trees

  4. Question 4. Tanks A and B have straight vertical sides and are filled at the same constant rate After 10 minutes the depth of A is 15 cm and the depth of B is 20 cm Which tank has the larger base area? Give a reason

    [2 marks]
    Show worked answerHide worked answer
    1. B1: A
    2. B1: the same volume gives the smaller depth in the tank with the larger base
    Answer: A, because the same volume gives a smaller depth
    Matching Shapes to Graphs

  5. Question 5. Solve x² + 2x - 15 = 0 [3]

    [3 marks]
    Show worked answerHide worked answer
    1. M1: (x+5)(x-3) = 0
    2. A1: x = -5
    3. A1: x = 3
    Answer: x = -5 or x = 3
    Solving Quadratics by Factorising (a = 1)
📅 Free live lesson: Tuesday 17th NovemberSave your free place →

Mixed Topic Worksheet Grades 4/5: Day 025

Grades 4/5Non-calculator

  1. Question 1. Write down the three-figure bearing of the direction
    (a) due West [1]
    (b) South-East [1]

    Show worked answerHide worked answer
    1. (a) B1: 270^°
    2. (b) B1: 135^°
    Answer: (a) 270^°; (b) 135^°
    Measuring Bearings
    [2 marks]

  2. Question 2. Work out 2dfrac34 + 1dfrac23
    Give your answer as a mixed number in its simplest form.

    Show worked answerHide worked answer
    1. M1: 2 + 1 = 3 and dfrac34=dfrac912, dfrac23=dfrac812
    2. A1: 4dfrac512
    Answer: 4dfrac512
    Adding Mixed Numbers
    [2 marks]

  3. Question 3. A club has 240 members.
    140 of the members are adults and the rest are juniors.
    35 of the adults play chess.
    45 of the juniors play chess.
    A member is chosen at random.
    Work out the probability that this member is a junior who does not play chess.
    You may use a frequency tree to help you.

    Show worked answerHide worked answer
    1. M1: juniors = 240 - 140 = 100
    2. M1 M1: 100 - 45 = 55 juniors do not play chess, out of 240
    3. A1: 55/240 = 11/48
    Answer: 11/48
    Finding Probabilities with Frequency Trees
    [4 marks]

  4. Question 4. Tanks A and B have straight vertical sides and are filled at the same constant rate After 10 minutes the depth of A is 15 cm and the depth of B is 20 cm Which tank has the larger base area? Give a reason

    Show worked answerHide worked answer
    1. B1: A
    2. B1: the same volume gives the smaller depth in the tank with the larger base
    Answer: A, because the same volume gives a smaller depth
    Matching Shapes to Graphs
    [2 marks]

  5. Question 5. Solve x² + 2x - 15 = 0 [3]

    Show worked answerHide worked answer
    1. M1: (x+5)(x-3) = 0
    2. A1: x = -5
    3. A1: x = 3
    Answer: x = -5 or x = 3
    Solving Quadratics by Factorising (a = 1)
    [3 marks]