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

Mixed Topic Worksheet Grades 1/2/3: Day 079

Grades 1/2/3Non-calculator

  1. Question 1. A recipe needs at least 0.75 kg of butter.
    Shop X sells a pack of butter with mass 0.705 kg.
    Shop Y sells a pack of butter with mass 0.78 kg.
    Which pack has enough butter for the recipe?
    Give a reason for your answer.

    Show worked answerHide worked answer
    1. B1: Shop Y
    2. B1: a reason: 0.78 > 0.75 and 0.705 < 0.75
    Answer: The pack from Shop Y, because 0.78 is greater than 0.75 and 0.705 is less than 0.75
    Ordering Decimals
    [2 marks]

  2. Question 2. The sides of a triangle are (2a + 3) cm, (a + 5) cm and (4a - 1) cm.
    Write a simplified expression, in cm, for the perimeter of the triangle.

    Show worked answerHide worked answer
    1. M1: adds the three sides and collects the terms in a and the numbers
    2. A1: 7a + 7 with 3 + 5 - 1 = 7
    Answer: 7a + 7
    Collecting Like Terms
    [2 marks]

  3. Question 3. A shape has rotational symmetry of order 10.
    Work out the smallest angle the shape can be turned through about its centre to fit onto itself.

    Show worked answerHide worked answer
    1. M1: 360 ÷ 10
    2. A1: 36^°
    Answer: 36^°
    Rotational Symmetry
    [2 marks]

  4. Question 4. Write down the mode of each list.
    A: 8 quad 3 quad 5 quad 8 quad 2 quad 9 quad 8
    B: 4 quad 6 quad 2 quad 6 quad 9 quad 1 quad 6
    C: 7 quad 1 quad 7 quad 3 quad 1 quad 7 quad 5

    Show worked answerHide worked answer
    1. B1: A: 8
    2. B1: B: 6
    3. B1: C: 7
    Answer: A: 8, B: 6, C: 7
    Mode from a List
    [3 marks]

  5. Question 5. 80 people were asked if they own a bike. The two-way table shows some of the results.
    Work out the number of men who do not own a bike.

    Show worked answerHide worked answer
    1. M1: 80 - 45 (men in total = 35)
    2. M1: 35 - 18
    3. A1: 17
    Answer: 17
    Fundamentals of Two-Way Tables
    BikeNo bikeTotalMen18Women2545Total80
    [3 marks]
📅 Free lesson: Tue 17th NovSave your place →

Mixed Topic Worksheet Grades 1/2/3: Day 079

Grades 1/2/3Non-calculator

  1. Question 1. A recipe needs at least 0.75 kg of butter.
    Shop X sells a pack of butter with mass 0.705 kg.
    Shop Y sells a pack of butter with mass 0.78 kg.
    Which pack has enough butter for the recipe?
    Give a reason for your answer.

    [2 marks]
    Show worked answerHide worked answer
    1. B1: Shop Y
    2. B1: a reason: 0.78 > 0.75 and 0.705 < 0.75
    Answer: The pack from Shop Y, because 0.78 is greater than 0.75 and 0.705 is less than 0.75
    Ordering Decimals

  2. Question 2. The sides of a triangle are (2a + 3) cm, (a + 5) cm and (4a - 1) cm.
    Write a simplified expression, in cm, for the perimeter of the triangle.

    [2 marks]
    Show worked answerHide worked answer
    1. M1: adds the three sides and collects the terms in a and the numbers
    2. A1: 7a + 7 with 3 + 5 - 1 = 7
    Answer: 7a + 7
    Collecting Like Terms

  3. Question 3. A shape has rotational symmetry of order 10.
    Work out the smallest angle the shape can be turned through about its centre to fit onto itself.

    [2 marks]
    Show worked answerHide worked answer
    1. M1: 360 ÷ 10
    2. A1: 36^°
    Answer: 36^°
    Rotational Symmetry

  4. Question 4. Write down the mode of each list.
    A: 8 quad 3 quad 5 quad 8 quad 2 quad 9 quad 8
    B: 4 quad 6 quad 2 quad 6 quad 9 quad 1 quad 6
    C: 7 quad 1 quad 7 quad 3 quad 1 quad 7 quad 5

    [3 marks]
    Show worked answerHide worked answer
    1. B1: A: 8
    2. B1: B: 6
    3. B1: C: 7
    Answer: A: 8, B: 6, C: 7
    Mode from a List

  5. Question 5. 80 people were asked if they own a bike. The two-way table shows some of the results.
    Work out the number of men who do not own a bike.

    [3 marks]
    BikeNo bikeTotalMen18Women2545Total80
    Show worked answerHide worked answer
    1. M1: 80 - 45 (men in total = 35)
    2. M1: 35 - 18
    3. A1: 17
    Answer: 17
    Fundamentals of Two-Way Tables
📅 Free live lesson: Tuesday 17th NovemberSave your free place →

Mixed Topic Worksheet Grades 1/2/3: Day 079

Grades 1/2/3Non-calculator

  1. Question 1. A recipe needs at least 0.75 kg of butter.
    Shop X sells a pack of butter with mass 0.705 kg.
    Shop Y sells a pack of butter with mass 0.78 kg.
    Which pack has enough butter for the recipe?
    Give a reason for your answer.

    Show worked answerHide worked answer
    1. B1: Shop Y
    2. B1: a reason: 0.78 > 0.75 and 0.705 < 0.75
    Answer: The pack from Shop Y, because 0.78 is greater than 0.75 and 0.705 is less than 0.75
    Ordering Decimals
    [2 marks]

  2. Question 2. The sides of a triangle are (2a + 3) cm, (a + 5) cm and (4a - 1) cm.
    Write a simplified expression, in cm, for the perimeter of the triangle.

    Show worked answerHide worked answer
    1. M1: adds the three sides and collects the terms in a and the numbers
    2. A1: 7a + 7 with 3 + 5 - 1 = 7
    Answer: 7a + 7
    Collecting Like Terms
    [2 marks]

  3. Question 3. A shape has rotational symmetry of order 10.
    Work out the smallest angle the shape can be turned through about its centre to fit onto itself.

    Show worked answerHide worked answer
    1. M1: 360 ÷ 10
    2. A1: 36^°
    Answer: 36^°
    Rotational Symmetry
    [2 marks]

  4. Question 4. Write down the mode of each list.
    A: 8 quad 3 quad 5 quad 8 quad 2 quad 9 quad 8
    B: 4 quad 6 quad 2 quad 6 quad 9 quad 1 quad 6
    C: 7 quad 1 quad 7 quad 3 quad 1 quad 7 quad 5

    Show worked answerHide worked answer
    1. B1: A: 8
    2. B1: B: 6
    3. B1: C: 7
    Answer: A: 8, B: 6, C: 7
    Mode from a List
    [3 marks]

  5. Question 5. 80 people were asked if they own a bike. The two-way table shows some of the results.
    Work out the number of men who do not own a bike.

    Show worked answerHide worked answer
    1. M1: 80 - 45 (men in total = 35)
    2. M1: 35 - 18
    3. A1: 17
    Answer: 17
    Fundamentals of Two-Way Tables
    BikeNo bikeTotalMen18Women2545Total80
    [3 marks]