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

Mixed Topic Worksheet Grades 6/7: Day 025

Grades 6/7Non-calculator

  1. Question 1. The two parallelograms are similar.
    Work out the scale factor of the enlargement that maps the small parallelogram onto the large parallelogram.

    Show worked answerHide worked answer
    1. M1: 7 ÷ 4
    2. A1: 1.75
    Answer: 1.75
    Calculating Scale Factor
    4 cm7 cmNot drawn accurately
    [2 marks]

  2. Question 2. The table shows information about the masses, in kg, of 36 parcels.
    Complete the cumulative frequency table.

    Show worked answerHide worked answer
    1. M1: 4 + 10 for the second class, then 14 + 13 for the third
    2. A1: 14 and 27 correct
    3. A1: 34 and 36 correct
    Answer: 4, 14, 27, 34, 36
    Filling in Cumulative Frequency Tables
    Mass (m kg)FrequencyMass (m kg)Cumulative frequency10 < m ≤ 204m ≤ 2020 < m ≤ 3010m ≤ 3030 < m ≤ 4013m ≤ 4040 < m ≤ 507m ≤ 5050 < m ≤ 602m ≤ 60
    [3 marks]

  3. Question 3. f(x) = 5x - 3
    Nia is asked to find the value of x when f(x) = 22
    Nia's working is f(22) = 5 × 22 - 3 = 107
    Nia says x = 107
    Is Nia correct?
    You must show your working.

    Show worked answerHide worked answer
    1. M1: 5x - 3 = 22
    2. A1: x = 5
    3. C1: Nia is not correct: she worked out f(22) instead of solving f(x) = 22
    Answer: No, Nia is not correct; x = 5
    Fundamentals of Functions
    [3 marks]

  4. Question 4. Rationalise the denominator of dfrac1√3

    Show worked answerHide worked answer
    1. M1: dfrac1√3 × dfrac√3√3
    2. A1: dfrac√33
    Answer: dfrac√33
    Rationalising Denominators of the Form √a
    [2 marks]

  5. Question 5. When x = 2, y = 18.
    When x = 3, y = 8.
    When x = 6, y = 2.
    Jo says that y is inversely proportional to the square of x.
    Is Jo correct?
    You must show your working.

    Show worked answerHide worked answer
    1. M1: 2² × 18 = 72 and 3² × 8 = 72
    2. M1: 6² × 2 = 72
    3. A1: Yes, x² × y is 72 each time
    Answer: Yes
    Algebraic Inverse Proportion
    [3 marks]
📅 Free lesson: Tue 17th NovSave your place →

Mixed Topic Worksheet Grades 6/7: Day 025

Grades 6/7Non-calculator

  1. Question 1. The two parallelograms are similar.
    Work out the scale factor of the enlargement that maps the small parallelogram onto the large parallelogram.

    [2 marks]
    4 cm7 cmNot drawn accurately
    Show worked answerHide worked answer
    1. M1: 7 ÷ 4
    2. A1: 1.75
    Answer: 1.75
    Calculating Scale Factor

  2. Question 2. The table shows information about the masses, in kg, of 36 parcels.
    Complete the cumulative frequency table.

    [3 marks]
    Mass (m kg)FrequencyMass (m kg)Cumulative frequency10 < m ≤ 204m ≤ 2020 < m ≤ 3010m ≤ 3030 < m ≤ 4013m ≤ 4040 < m ≤ 507m ≤ 5050 < m ≤ 602m ≤ 60
    Show worked answerHide worked answer
    1. M1: 4 + 10 for the second class, then 14 + 13 for the third
    2. A1: 14 and 27 correct
    3. A1: 34 and 36 correct
    Answer: 4, 14, 27, 34, 36
    Filling in Cumulative Frequency Tables

  3. Question 3. f(x) = 5x - 3
    Nia is asked to find the value of x when f(x) = 22
    Nia's working is f(22) = 5 × 22 - 3 = 107
    Nia says x = 107
    Is Nia correct?
    You must show your working.

    [3 marks]
    Show worked answerHide worked answer
    1. M1: 5x - 3 = 22
    2. A1: x = 5
    3. C1: Nia is not correct: she worked out f(22) instead of solving f(x) = 22
    Answer: No, Nia is not correct; x = 5
    Fundamentals of Functions

  4. Question 4. Rationalise the denominator of dfrac1√3

    [2 marks]
    Show worked answerHide worked answer
    1. M1: dfrac1√3 × dfrac√3√3
    2. A1: dfrac√33
    Answer: dfrac√33
    Rationalising Denominators of the Form √a

  5. Question 5. When x = 2, y = 18.
    When x = 3, y = 8.
    When x = 6, y = 2.
    Jo says that y is inversely proportional to the square of x.
    Is Jo correct?
    You must show your working.

    [3 marks]
    Show worked answerHide worked answer
    1. M1: 2² × 18 = 72 and 3² × 8 = 72
    2. M1: 6² × 2 = 72
    3. A1: Yes, x² × y is 72 each time
    Answer: Yes
    Algebraic Inverse Proportion
📅 Free live lesson: Tuesday 17th NovemberSave your free place →

Mixed Topic Worksheet Grades 6/7: Day 025

Grades 6/7Non-calculator

  1. Question 1. The two parallelograms are similar.
    Work out the scale factor of the enlargement that maps the small parallelogram onto the large parallelogram.

    Show worked answerHide worked answer
    1. M1: 7 ÷ 4
    2. A1: 1.75
    Answer: 1.75
    Calculating Scale Factor
    4 cm7 cmNot drawn accurately
    [2 marks]

  2. Question 2. The table shows information about the masses, in kg, of 36 parcels.
    Complete the cumulative frequency table.

    Show worked answerHide worked answer
    1. M1: 4 + 10 for the second class, then 14 + 13 for the third
    2. A1: 14 and 27 correct
    3. A1: 34 and 36 correct
    Answer: 4, 14, 27, 34, 36
    Filling in Cumulative Frequency Tables
    Mass (m kg)FrequencyMass (m kg)Cumulative frequency10 < m ≤ 204m ≤ 2020 < m ≤ 3010m ≤ 3030 < m ≤ 4013m ≤ 4040 < m ≤ 507m ≤ 5050 < m ≤ 602m ≤ 60
    [3 marks]

  3. Question 3. f(x) = 5x - 3
    Nia is asked to find the value of x when f(x) = 22
    Nia's working is f(22) = 5 × 22 - 3 = 107
    Nia says x = 107
    Is Nia correct?
    You must show your working.

    Show worked answerHide worked answer
    1. M1: 5x - 3 = 22
    2. A1: x = 5
    3. C1: Nia is not correct: she worked out f(22) instead of solving f(x) = 22
    Answer: No, Nia is not correct; x = 5
    Fundamentals of Functions
    [3 marks]

  4. Question 4. Rationalise the denominator of dfrac1√3

    Show worked answerHide worked answer
    1. M1: dfrac1√3 × dfrac√3√3
    2. A1: dfrac√33
    Answer: dfrac√33
    Rationalising Denominators of the Form √a
    [2 marks]

  5. Question 5. When x = 2, y = 18.
    When x = 3, y = 8.
    When x = 6, y = 2.
    Jo says that y is inversely proportional to the square of x.
    Is Jo correct?
    You must show your working.

    Show worked answerHide worked answer
    1. M1: 2² × 18 = 72 and 3² × 8 = 72
    2. M1: 6² × 2 = 72
    3. A1: Yes, x² × y is 72 each time
    Answer: Yes
    Algebraic Inverse Proportion
    [3 marks]