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

Mixed Topic Worksheet Grades 6/7: Day 095

Grades 6/7Non-calculator

  1. Question 1. A shop sells a piece of cheese. Its mass is 250 g, rounded down to the nearest 10 g.
    Sam says the cheese could have a mass of 259 g.
    Is Sam correct?
    Give a reason for your answer.

    Show worked answerHide worked answer
    1. M1: 250 and 250 + 10
    2. C1: Yes, 259 is less than 260
    Answer: Yes: the mass is 250 ≤ m < 260, and 259 is inside this interval.
    Bounds & Error Intervals for Truncated Decimals
    [2 marks]

  2. Question 2. A reflection has mirror line y = 6.
    The point (-4, c) is an invariant point of this reflection.
    Work out the value of c.

    Show worked answerHide worked answer
    1. B1: 6
    Answer: 6
    Invariant Points
    [1 mark]

  3. Question 3. A café's daily takings over 60 days have range £480 but interquartile range £60.
    What does this tell you about the daily takings? [2]

    Show worked answerHide worked answer
    1. B1: the middle half of the days' takings are within £60 of each other, so most days are similar
    2. B1: the large range is caused by one or two extreme days
    Answer: Most days' takings are similar (middle 50% within £60); the range is large because of an extreme day
    Benefits of IQR & Range
    [2 marks]

  4. Question 4. The difference between the squares of two consecutive positive even numbers is 100.
    The squares are subtracted larger minus smaller.
    Use algebra to work out the two numbers.

    Show worked answerHide worked answer
    1. M1: (2n + 2)² - (2n)² = 8n + 4
    2. M1: 8n + 4 = 100
    3. A1: n = 12 so the numbers are 24 and 26
    Answer: 24 and 26
    Proof with Even Numbers
    [3 marks]

  5. Question 5. By completing the square, find the coordinates of the turning point of y = x² - 8x + 3

    Show worked answerHide worked answer
    1. M1: (x - 4)²
    2. M1: (x - 4)² - 16 + 3
    3. A1: (x - 4)² - 13
    4. A1: (4, -13)
    Answer: (4, -13)
    Turning Points of Quadratics
    [4 marks]
📅 Free lesson: Tue 17th NovSave your place →

Mixed Topic Worksheet Grades 6/7: Day 095

Grades 6/7Non-calculator

  1. Question 1. A shop sells a piece of cheese. Its mass is 250 g, rounded down to the nearest 10 g.
    Sam says the cheese could have a mass of 259 g.
    Is Sam correct?
    Give a reason for your answer.

    [2 marks]
    Show worked answerHide worked answer
    1. M1: 250 and 250 + 10
    2. C1: Yes, 259 is less than 260
    Answer: Yes: the mass is 250 ≤ m < 260, and 259 is inside this interval.
    Bounds & Error Intervals for Truncated Decimals

  2. Question 2. A reflection has mirror line y = 6.
    The point (-4, c) is an invariant point of this reflection.
    Work out the value of c.

    [1 mark]
    Show worked answerHide worked answer
    1. B1: 6
    Answer: 6
    Invariant Points

  3. Question 3. A café's daily takings over 60 days have range £480 but interquartile range £60.
    What does this tell you about the daily takings? [2]

    [2 marks]
    Show worked answerHide worked answer
    1. B1: the middle half of the days' takings are within £60 of each other, so most days are similar
    2. B1: the large range is caused by one or two extreme days
    Answer: Most days' takings are similar (middle 50% within £60); the range is large because of an extreme day
    Benefits of IQR & Range

  4. Question 4. The difference between the squares of two consecutive positive even numbers is 100.
    The squares are subtracted larger minus smaller.
    Use algebra to work out the two numbers.

    [3 marks]
    Show worked answerHide worked answer
    1. M1: (2n + 2)² - (2n)² = 8n + 4
    2. M1: 8n + 4 = 100
    3. A1: n = 12 so the numbers are 24 and 26
    Answer: 24 and 26
    Proof with Even Numbers

  5. Question 5. By completing the square, find the coordinates of the turning point of y = x² - 8x + 3

    [4 marks]
    Show worked answerHide worked answer
    1. M1: (x - 4)²
    2. M1: (x - 4)² - 16 + 3
    3. A1: (x - 4)² - 13
    4. A1: (4, -13)
    Answer: (4, -13)
    Turning Points of Quadratics
📅 Free live lesson: Tuesday 17th NovemberSave your free place →

Mixed Topic Worksheet Grades 6/7: Day 095

Grades 6/7Non-calculator

  1. Question 1. A shop sells a piece of cheese. Its mass is 250 g, rounded down to the nearest 10 g.
    Sam says the cheese could have a mass of 259 g.
    Is Sam correct?
    Give a reason for your answer.

    Show worked answerHide worked answer
    1. M1: 250 and 250 + 10
    2. C1: Yes, 259 is less than 260
    Answer: Yes: the mass is 250 ≤ m < 260, and 259 is inside this interval.
    Bounds & Error Intervals for Truncated Decimals
    [2 marks]

  2. Question 2. A reflection has mirror line y = 6.
    The point (-4, c) is an invariant point of this reflection.
    Work out the value of c.

    Show worked answerHide worked answer
    1. B1: 6
    Answer: 6
    Invariant Points
    [1 mark]

  3. Question 3. A café's daily takings over 60 days have range £480 but interquartile range £60.
    What does this tell you about the daily takings? [2]

    Show worked answerHide worked answer
    1. B1: the middle half of the days' takings are within £60 of each other, so most days are similar
    2. B1: the large range is caused by one or two extreme days
    Answer: Most days' takings are similar (middle 50% within £60); the range is large because of an extreme day
    Benefits of IQR & Range
    [2 marks]

  4. Question 4. The difference between the squares of two consecutive positive even numbers is 100.
    The squares are subtracted larger minus smaller.
    Use algebra to work out the two numbers.

    Show worked answerHide worked answer
    1. M1: (2n + 2)² - (2n)² = 8n + 4
    2. M1: 8n + 4 = 100
    3. A1: n = 12 so the numbers are 24 and 26
    Answer: 24 and 26
    Proof with Even Numbers
    [3 marks]

  5. Question 5. By completing the square, find the coordinates of the turning point of y = x² - 8x + 3

    Show worked answerHide worked answer
    1. M1: (x - 4)²
    2. M1: (x - 4)² - 16 + 3
    3. A1: (x - 4)² - 13
    4. A1: (4, -13)
    Answer: (4, -13)
    Turning Points of Quadratics
    [4 marks]