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Mixed Topic Worksheet Grades 4/5: Day 044

Grades 4/5Calculator

  1. Question 1. Expand and simplify 4(2x - 1) - 3(x - 5)

    Show worked answerHide worked answer
    1. M1: expands both brackets, 8x - 4 - 3x + 15
    2. A1: 5x + 11
    Answer: 5x + 11
    Expanding Single Brackets
    [2 marks]

  2. Question 2. Work out an estimate for 38 × 21 by rounding each number to 1 significant figure.

    Show worked answerHide worked answer
    1. M1: rounds both numbers to 1 s.f.: 40 and 20
    2. A1: 800
    Answer: 800
    Estimating Calculations
    [2 marks]

  3. Question 3. Sam and Jo each throw the same drawing pin.
    Sam: 30 throws, pin points up 12 times
    Jo: 70 throws, pin points up 33 times
    Use all of the results to work out the best estimate of the probability that the pin points up.

    Show worked answerHide worked answer
    1. M1: 12 + 33 = 45 and 30 + 70 = 100
    2. M1: 45 ÷ 100
    3. A1: 0.45
    Answer: 0.45
    Best Relative Frequency Estimates
    [3 marks]

  4. Question 4. Here is a cone. Work out the volume of the cone.
    Give your answer to 1 decimal place.

    Show worked answerHide worked answer
    1. M1: 1/3 × π × 7² × 9
    2. A1: 461.8
    Answer: 461.8
    Volume of Cones
    9 cm7 cm
    [2 marks]

  5. Question 5. Zoe says, "If I increase a price by 20% and then decrease it by 20%, I get the original price."
    True or False? Show working.

    Show worked answerHide worked answer
    1. M1: 1.2 × 0.8 = 0.96
    2. A1: False, it is 96% of the original
    Answer: False
    Percentage Multipliers
    [2 marks]
📅 Free lesson: Tue 17th NovSave your place →

Mixed Topic Worksheet Grades 4/5: Day 044

Grades 4/5Calculator

  1. Question 1. Expand and simplify 4(2x - 1) - 3(x - 5)

    [2 marks]
    Show worked answerHide worked answer
    1. M1: expands both brackets, 8x - 4 - 3x + 15
    2. A1: 5x + 11
    Answer: 5x + 11
    Expanding Single Brackets

  2. Question 2. Work out an estimate for 38 × 21 by rounding each number to 1 significant figure.

    [2 marks]
    Show worked answerHide worked answer
    1. M1: rounds both numbers to 1 s.f.: 40 and 20
    2. A1: 800
    Answer: 800
    Estimating Calculations

  3. Question 3. Sam and Jo each throw the same drawing pin.
    Sam: 30 throws, pin points up 12 times
    Jo: 70 throws, pin points up 33 times
    Use all of the results to work out the best estimate of the probability that the pin points up.

    [3 marks]
    Show worked answerHide worked answer
    1. M1: 12 + 33 = 45 and 30 + 70 = 100
    2. M1: 45 ÷ 100
    3. A1: 0.45
    Answer: 0.45
    Best Relative Frequency Estimates

  4. Question 4. Here is a cone. Work out the volume of the cone.
    Give your answer to 1 decimal place.

    [2 marks]
    9 cm7 cm
    Show worked answerHide worked answer
    1. M1: 1/3 × π × 7² × 9
    2. A1: 461.8
    Answer: 461.8
    Volume of Cones

  5. Question 5. Zoe says, "If I increase a price by 20% and then decrease it by 20%, I get the original price."
    True or False? Show working.

    [2 marks]
    Show worked answerHide worked answer
    1. M1: 1.2 × 0.8 = 0.96
    2. A1: False, it is 96% of the original
    Answer: False
    Percentage Multipliers
📅 Free live lesson: Tuesday 17th NovemberSave your free place →

Mixed Topic Worksheet Grades 4/5: Day 044

Grades 4/5Calculator

  1. Question 1. Expand and simplify 4(2x - 1) - 3(x - 5)

    Show worked answerHide worked answer
    1. M1: expands both brackets, 8x - 4 - 3x + 15
    2. A1: 5x + 11
    Answer: 5x + 11
    Expanding Single Brackets
    [2 marks]

  2. Question 2. Work out an estimate for 38 × 21 by rounding each number to 1 significant figure.

    Show worked answerHide worked answer
    1. M1: rounds both numbers to 1 s.f.: 40 and 20
    2. A1: 800
    Answer: 800
    Estimating Calculations
    [2 marks]

  3. Question 3. Sam and Jo each throw the same drawing pin.
    Sam: 30 throws, pin points up 12 times
    Jo: 70 throws, pin points up 33 times
    Use all of the results to work out the best estimate of the probability that the pin points up.

    Show worked answerHide worked answer
    1. M1: 12 + 33 = 45 and 30 + 70 = 100
    2. M1: 45 ÷ 100
    3. A1: 0.45
    Answer: 0.45
    Best Relative Frequency Estimates
    [3 marks]

  4. Question 4. Here is a cone. Work out the volume of the cone.
    Give your answer to 1 decimal place.

    Show worked answerHide worked answer
    1. M1: 1/3 × π × 7² × 9
    2. A1: 461.8
    Answer: 461.8
    Volume of Cones
    9 cm7 cm
    [2 marks]

  5. Question 5. Zoe says, "If I increase a price by 20% and then decrease it by 20%, I get the original price."
    True or False? Show working.

    Show worked answerHide worked answer
    1. M1: 1.2 × 0.8 = 0.96
    2. A1: False, it is 96% of the original
    Answer: False
    Percentage Multipliers
    [2 marks]