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

Mixed Topic Worksheet Grades 4/5: Day 017

Grades 4/5Non-calculator

  1. Question 1. Hana converts a fraction with denominator 25 into the decimal 0.12 Work out the numerator of the fraction.

    Show worked answerHide worked answer
    1. B1: 3
    Answer: 3
    Writing Fractions as Decimals & Percentages
    [1 mark]

  2. Question 2. Kai needs a green counter.
    Box A contains 15 counters. 6 of the counters are green.
    Box B contains 24 counters. 9 of the counters are green.
    One counter is taken at random from one box.
    Which box gives Kai the greater probability of getting a green counter?
    You must show your working.

    Show worked answerHide worked answer
    1. M1: dfrac615 for box A
    2. M1: dfrac924 for box B and a common form, such as 0.4 and 0.375
    3. A1: Box A with a correct comparison, 0.4 > 0.375
    Answer: Box A, because 6/15 = 0.4 is greater than 9/24 = 0.375
    Calculating Probabilities
    [3 marks]

  3. Question 3. The pressure on a surface is 35 N/m².
    The area of the surface is 8 m².

    Work out the force acting on the surface.

    Show worked answerHide worked answer
    1. M1: 35 × 8
    2. A1: 280
    Answer: 280 N
    Pressure, Force & Area Calculations
    [2 marks]

  4. Question 4. A sector of a circle has a radius of 6 cm.
    The area of the sector is 10π cm².
    Work out the angle of the sector.

    Show worked answerHide worked answer
    1. M1: x/360 × π × 6² = 10π
    2. A1: 100
    Answer: 100
    Area of a Circle Sector
    [2 marks]

  5. Question 5. Write 53² - 47² as a product of two factors and use your answer to work out its value.

    Show worked answerHide worked answer
    1. M1: (53 - 47)(53 + 47)
    2. M1: 53 - 47 = 6 and 53 + 47 = 100
    3. A1: 600
    Answer: 600
    Difference of Two Squares
    [3 marks]
📅 Free lesson: Tue 17th NovSave your place →

Mixed Topic Worksheet Grades 4/5: Day 017

Grades 4/5Non-calculator

  1. Question 1. Hana converts a fraction with denominator 25 into the decimal 0.12 Work out the numerator of the fraction.

    [1 mark]
    Show worked answerHide worked answer
    1. B1: 3
    Answer: 3
    Writing Fractions as Decimals & Percentages

  2. Question 2. Kai needs a green counter.
    Box A contains 15 counters. 6 of the counters are green.
    Box B contains 24 counters. 9 of the counters are green.
    One counter is taken at random from one box.
    Which box gives Kai the greater probability of getting a green counter?
    You must show your working.

    [3 marks]
    Show worked answerHide worked answer
    1. M1: dfrac615 for box A
    2. M1: dfrac924 for box B and a common form, such as 0.4 and 0.375
    3. A1: Box A with a correct comparison, 0.4 > 0.375
    Answer: Box A, because 6/15 = 0.4 is greater than 9/24 = 0.375
    Calculating Probabilities

  3. Question 3. The pressure on a surface is 35 N/m².
    The area of the surface is 8 m².

    Work out the force acting on the surface.

    [2 marks]
    Show worked answerHide worked answer
    1. M1: 35 × 8
    2. A1: 280
    Answer: 280 N
    Pressure, Force & Area Calculations

  4. Question 4. A sector of a circle has a radius of 6 cm.
    The area of the sector is 10π cm².
    Work out the angle of the sector.

    [2 marks]
    Show worked answerHide worked answer
    1. M1: x/360 × π × 6² = 10π
    2. A1: 100
    Answer: 100
    Area of a Circle Sector

  5. Question 5. Write 53² - 47² as a product of two factors and use your answer to work out its value.

    [3 marks]
    Show worked answerHide worked answer
    1. M1: (53 - 47)(53 + 47)
    2. M1: 53 - 47 = 6 and 53 + 47 = 100
    3. A1: 600
    Answer: 600
    Difference of Two Squares
📅 Free live lesson: Tuesday 17th NovemberSave your free place →

Mixed Topic Worksheet Grades 4/5: Day 017

Grades 4/5Non-calculator

  1. Question 1. Hana converts a fraction with denominator 25 into the decimal 0.12 Work out the numerator of the fraction.

    Show worked answerHide worked answer
    1. B1: 3
    Answer: 3
    Writing Fractions as Decimals & Percentages
    [1 mark]

  2. Question 2. Kai needs a green counter.
    Box A contains 15 counters. 6 of the counters are green.
    Box B contains 24 counters. 9 of the counters are green.
    One counter is taken at random from one box.
    Which box gives Kai the greater probability of getting a green counter?
    You must show your working.

    Show worked answerHide worked answer
    1. M1: dfrac615 for box A
    2. M1: dfrac924 for box B and a common form, such as 0.4 and 0.375
    3. A1: Box A with a correct comparison, 0.4 > 0.375
    Answer: Box A, because 6/15 = 0.4 is greater than 9/24 = 0.375
    Calculating Probabilities
    [3 marks]

  3. Question 3. The pressure on a surface is 35 N/m².
    The area of the surface is 8 m².

    Work out the force acting on the surface.

    Show worked answerHide worked answer
    1. M1: 35 × 8
    2. A1: 280
    Answer: 280 N
    Pressure, Force & Area Calculations
    [2 marks]

  4. Question 4. A sector of a circle has a radius of 6 cm.
    The area of the sector is 10π cm².
    Work out the angle of the sector.

    Show worked answerHide worked answer
    1. M1: x/360 × π × 6² = 10π
    2. A1: 100
    Answer: 100
    Area of a Circle Sector
    [2 marks]

  5. Question 5. Write 53² - 47² as a product of two factors and use your answer to work out its value.

    Show worked answerHide worked answer
    1. M1: (53 - 47)(53 + 47)
    2. M1: 53 - 47 = 6 and 53 + 47 = 100
    3. A1: 600
    Answer: 600
    Difference of Two Squares
    [3 marks]