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

Mixed Topic Worksheet Grades 1/2/3: Day 066

Grades 1/2/3Non-calculator
  1. Question 1. Write down the number of lines of symmetry of a square.

    Show worked answerHide worked answer
    1. B1: 4 lines of symmetry (two through midpoints of opposite sides, two diagonals)
    Answer: 4
    Lines of Symmetry
    [1 mark]
  2. Question 2. A bag contains 9 red counters and 4 blue counters.
    One counter is taken at random.
    Work out the probability that the counter is red.

    Show worked answerHide worked answer
    1. B1: dfrac913 from 9 red out of 13 counters in total
    Answer: dfrac913
    Fundamentals of Probability
    [1 mark]
  3. Question 3. Use the lattice method to work out 58 × 36

    Show worked answerHide worked answer
    1. M1: a 2 by 2 lattice with 15, 24, 30 and 48 in the cells
    2. M1: the diagonals added, with the carries
    3. A1: 2088
    Answer: 2088
    Lattice Method for Multiplication
    [3 marks]
  4. Question 4. Ann says that dfrac95 is less than 1.85 Is Ann correct? You must show your working.

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    1. M1: 9 ÷ 5 = 1.8
    2. A1: 1.8 < 1.85 so Ann is correct
    Answer: Yes, dfrac95 = 1.8 and 1.8 < 1.85
    Converting Improper Fractions to Decimals
    [2 marks]
  5. Question 5. Ravi wants to find out the favourite sport of the pupils in his school.
    He asks the 30 pupils in the school football team.
    Give two reasons why his sample is biased.

    Show worked answerHide worked answer
    1. B1: e.g. football team players are more likely to choose football
    2. B1: e.g. the team may be from only some year groups, or be all boys or all girls
    Answer: e.g. team players are likely to choose football; not every year group or gender is included
    Identifying Biased Samples
    [2 marks]
📅 Free lesson: Tue 17th NovSave your place →

Mixed Topic Worksheet Grades 1/2/3: Day 066

Grades 1/2/3Non-calculator
  1. Question 1. Write down the number of lines of symmetry of a square.

    [1 mark]
    Show worked answerHide worked answer
    1. B1: 4 lines of symmetry (two through midpoints of opposite sides, two diagonals)
    Answer: 4
    Lines of Symmetry
  2. Question 2. A bag contains 9 red counters and 4 blue counters.
    One counter is taken at random.
    Work out the probability that the counter is red.

    [1 mark]
    Show worked answerHide worked answer
    1. B1: dfrac913 from 9 red out of 13 counters in total
    Answer: dfrac913
    Fundamentals of Probability
  3. Question 3. Use the lattice method to work out 58 × 36

    [3 marks]
    Show worked answerHide worked answer
    1. M1: a 2 by 2 lattice with 15, 24, 30 and 48 in the cells
    2. M1: the diagonals added, with the carries
    3. A1: 2088
    Answer: 2088
    Lattice Method for Multiplication
  4. Question 4. Ann says that dfrac95 is less than 1.85 Is Ann correct? You must show your working.

    [2 marks]
    Show worked answerHide worked answer
    1. M1: 9 ÷ 5 = 1.8
    2. A1: 1.8 < 1.85 so Ann is correct
    Answer: Yes, dfrac95 = 1.8 and 1.8 < 1.85
    Converting Improper Fractions to Decimals
  5. Question 5. Ravi wants to find out the favourite sport of the pupils in his school.
    He asks the 30 pupils in the school football team.
    Give two reasons why his sample is biased.

    [2 marks]
    Show worked answerHide worked answer
    1. B1: e.g. football team players are more likely to choose football
    2. B1: e.g. the team may be from only some year groups, or be all boys or all girls
    Answer: e.g. team players are likely to choose football; not every year group or gender is included
    Identifying Biased Samples
📅 Free live lesson: Tuesday 17th NovemberSave your free place →

Mixed Topic Worksheet Grades 1/2/3: Day 066

Grades 1/2/3Non-calculator
  1. Question 1. Write down the number of lines of symmetry of a square.

    Show worked answerHide worked answer
    1. B1: 4 lines of symmetry (two through midpoints of opposite sides, two diagonals)
    Answer: 4
    Lines of Symmetry
    [1 mark]
  2. Question 2. A bag contains 9 red counters and 4 blue counters.
    One counter is taken at random.
    Work out the probability that the counter is red.

    Show worked answerHide worked answer
    1. B1: dfrac913 from 9 red out of 13 counters in total
    Answer: dfrac913
    Fundamentals of Probability
    [1 mark]
  3. Question 3. Use the lattice method to work out 58 × 36

    Show worked answerHide worked answer
    1. M1: a 2 by 2 lattice with 15, 24, 30 and 48 in the cells
    2. M1: the diagonals added, with the carries
    3. A1: 2088
    Answer: 2088
    Lattice Method for Multiplication
    [3 marks]
  4. Question 4. Ann says that dfrac95 is less than 1.85 Is Ann correct? You must show your working.

    Show worked answerHide worked answer
    1. M1: 9 ÷ 5 = 1.8
    2. A1: 1.8 < 1.85 so Ann is correct
    Answer: Yes, dfrac95 = 1.8 and 1.8 < 1.85
    Converting Improper Fractions to Decimals
    [2 marks]
  5. Question 5. Ravi wants to find out the favourite sport of the pupils in his school.
    He asks the 30 pupils in the school football team.
    Give two reasons why his sample is biased.

    Show worked answerHide worked answer
    1. B1: e.g. football team players are more likely to choose football
    2. B1: e.g. the team may be from only some year groups, or be all boys or all girls
    Answer: e.g. team players are likely to choose football; not every year group or gender is included
    Identifying Biased Samples
    [2 marks]