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

Mixed Topic Worksheet Grades 1/2/3: Day 060

Grades 1/2/3Calculator

  1. Question 1. Ravi wants the larger answer.
    He can work out 30 - 12 ÷ 3 or (30 - 12) ÷ 3
    Which calculation gives the larger answer?
    You must show your working.

    Show worked answerHide worked answer
    1. M1: 12 ÷ 3 = 4 and 30 - 4
    2. M1: 30 - 12 = 18 and 18 ÷ 3
    3. A1: 30 - 12 ÷ 3, with 26 and 6
    Answer: 30 - 12 ÷ 3 (26 is larger than 6)
    BIDMAS with Numbers
    [3 marks]

  2. Question 2. In a pictogram, each symbol stands for 4 pens. Work out how many symbols are needed to show 10 pens. Give your answer as a number.

    Show worked answerHide worked answer
    1. B1: 10 ÷ 4 = 2.5
    Answer: 2.5
    Constructing Pictograms
    [1 mark]

  3. Question 3. Sam is simplifying 5x + 3.
    Sam writes 5x + 3 = 8x.
    Describe the mistake that Sam has made.

    Show worked answerHide worked answer
    1. B1: Sam has added 5 and 3 although the 3 does not have an x, so 5x and 3 cannot be collected
    Answer: Sam has added 5 and 3 although the 3 has no x; 5x + 3 cannot be simplified further.
    Collecting Like Terms
    [1 mark]

  4. Question 4. The diagram shows a semicircle with a diameter of 10 cm.
    Work out the area of the semicircle.
    Give your answer to 1 decimal place.

    Show worked answerHide worked answer
    1. M1: 1/2 × π × 5²
    2. A1: 39.3
    Answer: 39.3 cm²
    Area of a Semicircle
    10 cm
    [2 marks]

  5. Question 5. A paint is made from red, yellow and white.

    red : yellow : white = 2 : 3 : 5

    There are 8 litres of red paint in the mixture.
    Work out the total amount of paint in the mixture.

    Show worked answerHide worked answer
    1. M1: 8 ÷ 2 = 4 litres in one part
    2. M1: 2 + 3 + 5 = 10 parts, so 10 × 4
    3. A1: 40
    Answer: 40 litres
    Scaling Up Ratios
    [3 marks]
📅 Free lesson: Tue 17th NovSave your place →

Mixed Topic Worksheet Grades 1/2/3: Day 060

Grades 1/2/3Calculator

  1. Question 1. Ravi wants the larger answer.
    He can work out 30 - 12 ÷ 3 or (30 - 12) ÷ 3
    Which calculation gives the larger answer?
    You must show your working.

    [3 marks]
    Show worked answerHide worked answer
    1. M1: 12 ÷ 3 = 4 and 30 - 4
    2. M1: 30 - 12 = 18 and 18 ÷ 3
    3. A1: 30 - 12 ÷ 3, with 26 and 6
    Answer: 30 - 12 ÷ 3 (26 is larger than 6)
    BIDMAS with Numbers

  2. Question 2. In a pictogram, each symbol stands for 4 pens. Work out how many symbols are needed to show 10 pens. Give your answer as a number.

    [1 mark]
    Show worked answerHide worked answer
    1. B1: 10 ÷ 4 = 2.5
    Answer: 2.5
    Constructing Pictograms

  3. Question 3. Sam is simplifying 5x + 3.
    Sam writes 5x + 3 = 8x.
    Describe the mistake that Sam has made.

    [1 mark]
    Show worked answerHide worked answer
    1. B1: Sam has added 5 and 3 although the 3 does not have an x, so 5x and 3 cannot be collected
    Answer: Sam has added 5 and 3 although the 3 has no x; 5x + 3 cannot be simplified further.
    Collecting Like Terms

  4. Question 4. The diagram shows a semicircle with a diameter of 10 cm.
    Work out the area of the semicircle.
    Give your answer to 1 decimal place.

    [2 marks]
    10 cm
    Show worked answerHide worked answer
    1. M1: 1/2 × π × 5²
    2. A1: 39.3
    Answer: 39.3 cm²
    Area of a Semicircle

  5. Question 5. A paint is made from red, yellow and white.

    red : yellow : white = 2 : 3 : 5

    There are 8 litres of red paint in the mixture.
    Work out the total amount of paint in the mixture.

    [3 marks]
    Show worked answerHide worked answer
    1. M1: 8 ÷ 2 = 4 litres in one part
    2. M1: 2 + 3 + 5 = 10 parts, so 10 × 4
    3. A1: 40
    Answer: 40 litres
    Scaling Up Ratios
📅 Free live lesson: Tuesday 17th NovemberSave your free place →

Mixed Topic Worksheet Grades 1/2/3: Day 060

Grades 1/2/3Calculator

  1. Question 1. Ravi wants the larger answer.
    He can work out 30 - 12 ÷ 3 or (30 - 12) ÷ 3
    Which calculation gives the larger answer?
    You must show your working.

    Show worked answerHide worked answer
    1. M1: 12 ÷ 3 = 4 and 30 - 4
    2. M1: 30 - 12 = 18 and 18 ÷ 3
    3. A1: 30 - 12 ÷ 3, with 26 and 6
    Answer: 30 - 12 ÷ 3 (26 is larger than 6)
    BIDMAS with Numbers
    [3 marks]

  2. Question 2. In a pictogram, each symbol stands for 4 pens. Work out how many symbols are needed to show 10 pens. Give your answer as a number.

    Show worked answerHide worked answer
    1. B1: 10 ÷ 4 = 2.5
    Answer: 2.5
    Constructing Pictograms
    [1 mark]

  3. Question 3. Sam is simplifying 5x + 3.
    Sam writes 5x + 3 = 8x.
    Describe the mistake that Sam has made.

    Show worked answerHide worked answer
    1. B1: Sam has added 5 and 3 although the 3 does not have an x, so 5x and 3 cannot be collected
    Answer: Sam has added 5 and 3 although the 3 has no x; 5x + 3 cannot be simplified further.
    Collecting Like Terms
    [1 mark]

  4. Question 4. The diagram shows a semicircle with a diameter of 10 cm.
    Work out the area of the semicircle.
    Give your answer to 1 decimal place.

    Show worked answerHide worked answer
    1. M1: 1/2 × π × 5²
    2. A1: 39.3
    Answer: 39.3 cm²
    Area of a Semicircle
    10 cm
    [2 marks]

  5. Question 5. A paint is made from red, yellow and white.

    red : yellow : white = 2 : 3 : 5

    There are 8 litres of red paint in the mixture.
    Work out the total amount of paint in the mixture.

    Show worked answerHide worked answer
    1. M1: 8 ÷ 2 = 4 litres in one part
    2. M1: 2 + 3 + 5 = 10 parts, so 10 × 4
    3. A1: 40
    Answer: 40 litres
    Scaling Up Ratios
    [3 marks]