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

Mixed Topic Worksheet Grades 4/5: Day 067

Grades 4/5Non-calculator

  1. Question 1. Work out the highest common factor (HCF) of 15 and 20

    Show worked answerHide worked answer
    1. M1: factors of 15 (1, 3, 5, 15) and of 20 (1, 2, 4, 5, 10, 20)
    2. A1: 5
    Answer: 5
    Finding the Highest Common Factor
    [2 marks]

  2. Question 2. The probability that a train is late is 0.15 on any day. Whether it is late is independent from day to day. Work out the probability that it is late on exactly one of two days.

    Show worked answerHide worked answer
    1. M1: 0.15×0.85 for each order
    2. A1: 2×0.1275=0.255
    Answer: 0.255
    Constructing Tree Diagrams
    [2 marks]

  3. Question 3. In triangle ABC, BD is the bisector of angle ABC and D is on AC.
    Angle ABC = 74^°
    Angle BDC = 83^°
    Work out the size of angle BCD.

    Show worked answerHide worked answer
    1. M1: 74 ÷ 2 = 37 for angle DBC
    2. M1: 180 - 37 - 83
    3. A1: 60
    Answer: 60
    Drawing Angle Bisectors
    [3 marks]

  4. Question 4. Write down the decimal multiplier for an increase of 15%.

    Show worked answerHide worked answer
    1. M1: 100% + 15% = 115%
    2. A1: 115 ÷ 100 = 1.15
    Answer: 1.15
    Percentage Multipliers
    [2 marks]

  5. Question 5. Which value of x solves 4x + 3 = 2x + 11?
    A: 2 B: 4 C: 7 D: 14

    Show worked answerHide worked answer
    1. M1: 2x = 8
    2. A1: B
    Answer: B
    Solving Harder Equations
    [2 marks]
📅 Free lesson: Tue 17th NovSave your place →

Mixed Topic Worksheet Grades 4/5: Day 067

Grades 4/5Non-calculator

  1. Question 1. Work out the highest common factor (HCF) of 15 and 20

    [2 marks]
    Show worked answerHide worked answer
    1. M1: factors of 15 (1, 3, 5, 15) and of 20 (1, 2, 4, 5, 10, 20)
    2. A1: 5
    Answer: 5
    Finding the Highest Common Factor

  2. Question 2. The probability that a train is late is 0.15 on any day. Whether it is late is independent from day to day. Work out the probability that it is late on exactly one of two days.

    [2 marks]
    Show worked answerHide worked answer
    1. M1: 0.15×0.85 for each order
    2. A1: 2×0.1275=0.255
    Answer: 0.255
    Constructing Tree Diagrams

  3. Question 3. In triangle ABC, BD is the bisector of angle ABC and D is on AC.
    Angle ABC = 74^°
    Angle BDC = 83^°
    Work out the size of angle BCD.

    [3 marks]
    Show worked answerHide worked answer
    1. M1: 74 ÷ 2 = 37 for angle DBC
    2. M1: 180 - 37 - 83
    3. A1: 60
    Answer: 60
    Drawing Angle Bisectors

  4. Question 4. Write down the decimal multiplier for an increase of 15%.

    [2 marks]
    Show worked answerHide worked answer
    1. M1: 100% + 15% = 115%
    2. A1: 115 ÷ 100 = 1.15
    Answer: 1.15
    Percentage Multipliers

  5. Question 5. Which value of x solves 4x + 3 = 2x + 11?
    A: 2 B: 4 C: 7 D: 14

    [2 marks]
    Show worked answerHide worked answer
    1. M1: 2x = 8
    2. A1: B
    Answer: B
    Solving Harder Equations
📅 Free live lesson: Tuesday 17th NovemberSave your free place →

Mixed Topic Worksheet Grades 4/5: Day 067

Grades 4/5Non-calculator

  1. Question 1. Work out the highest common factor (HCF) of 15 and 20

    Show worked answerHide worked answer
    1. M1: factors of 15 (1, 3, 5, 15) and of 20 (1, 2, 4, 5, 10, 20)
    2. A1: 5
    Answer: 5
    Finding the Highest Common Factor
    [2 marks]

  2. Question 2. The probability that a train is late is 0.15 on any day. Whether it is late is independent from day to day. Work out the probability that it is late on exactly one of two days.

    Show worked answerHide worked answer
    1. M1: 0.15×0.85 for each order
    2. A1: 2×0.1275=0.255
    Answer: 0.255
    Constructing Tree Diagrams
    [2 marks]

  3. Question 3. In triangle ABC, BD is the bisector of angle ABC and D is on AC.
    Angle ABC = 74^°
    Angle BDC = 83^°
    Work out the size of angle BCD.

    Show worked answerHide worked answer
    1. M1: 74 ÷ 2 = 37 for angle DBC
    2. M1: 180 - 37 - 83
    3. A1: 60
    Answer: 60
    Drawing Angle Bisectors
    [3 marks]

  4. Question 4. Write down the decimal multiplier for an increase of 15%.

    Show worked answerHide worked answer
    1. M1: 100% + 15% = 115%
    2. A1: 115 ÷ 100 = 1.15
    Answer: 1.15
    Percentage Multipliers
    [2 marks]

  5. Question 5. Which value of x solves 4x + 3 = 2x + 11?
    A: 2 B: 4 C: 7 D: 14

    Show worked answerHide worked answer
    1. M1: 2x = 8
    2. A1: B
    Answer: B
    Solving Harder Equations
    [2 marks]