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

Mixed Topic Worksheet Grades 6/7: Day 011

Grades 6/7Non-calculator

  1. Question 1. A fair coin is flipped 3 times.
    Work out the probability that the coin lands on heads all 3 times.

    Show worked answerHide worked answer
    1. M1: dfrac12 × dfrac12 × dfrac12
    2. A1: dfrac18
    Answer: dfrac18
    Independence
    [2 marks]

  2. Question 2. The heights, in cm, of 9 plants are 12, 13, 13, 15, 16, 17, 18, 19, 20. Work out the interquartile range.

    Show worked answerHide worked answer
    1. M1: lower quartile is the median of 12, 13, 13, 15; upper quartile is the median of 17, 18, 19, 20
    2. A1: 5.5
    Answer: 5.5 cm
    Benefits of IQR & Range
    [2 marks]

  3. Question 3. Simplify fully dfracx²-49x²+3x-28

    Show worked answerHide worked answer
    1. M1: (x-7)(x+7)
    2. M1: (x+7)(x-4)
    3. A1: dfracx-7x-4
    Answer: dfracx-7x-4
    Simplifying Algebraic Fractions
    [3 marks]

  4. Question 4. The graphs of y = x² + 2x - 3 and y = -x - 3 are drawn on the grid.
    Use the graphs to solve the simultaneous equations
    y = x² + 2x - 3
    y = -x - 3

    Show worked answerHide worked answer
    1. M1: the graphs cross at (0, -3) and (-3, 0)
    2. A1: x = 0, y = -3 and x = -3, y = 0
    Answer: x = 0, y = -3 and x = -3, y = 0
    Solving Quadratic Simultaneous Equations Graphically
    xy−55y = x² + 2x − 3y = −x − 3−4−220
    [2 marks]

  5. Question 5. A cube has a volume of 512 cm³.
    Work out the total surface area of the cube.

    Show worked answerHide worked answer
    1. M1: edge = 512¹/³ = 8 cm
    2. M1: one face = 64 cm², 6 × 64
    3. A1: 384 cm²
    Answer: 384 cm²
    Fractional Powers
    [3 marks]
📅 Free lesson: Tue 17th NovSave your place →

Mixed Topic Worksheet Grades 6/7: Day 011

Grades 6/7Non-calculator

  1. Question 1. A fair coin is flipped 3 times.
    Work out the probability that the coin lands on heads all 3 times.

    [2 marks]
    Show worked answerHide worked answer
    1. M1: dfrac12 × dfrac12 × dfrac12
    2. A1: dfrac18
    Answer: dfrac18
    Independence

  2. Question 2. The heights, in cm, of 9 plants are 12, 13, 13, 15, 16, 17, 18, 19, 20. Work out the interquartile range.

    [2 marks]
    Show worked answerHide worked answer
    1. M1: lower quartile is the median of 12, 13, 13, 15; upper quartile is the median of 17, 18, 19, 20
    2. A1: 5.5
    Answer: 5.5 cm
    Benefits of IQR & Range

  3. Question 3. Simplify fully dfracx²-49x²+3x-28

    [3 marks]
    Show worked answerHide worked answer
    1. M1: (x-7)(x+7)
    2. M1: (x+7)(x-4)
    3. A1: dfracx-7x-4
    Answer: dfracx-7x-4
    Simplifying Algebraic Fractions

  4. Question 4. The graphs of y = x² + 2x - 3 and y = -x - 3 are drawn on the grid.
    Use the graphs to solve the simultaneous equations
    y = x² + 2x - 3
    y = -x - 3

    [2 marks]
    xy−55y = x² + 2x − 3y = −x − 3−4−220
    Show worked answerHide worked answer
    1. M1: the graphs cross at (0, -3) and (-3, 0)
    2. A1: x = 0, y = -3 and x = -3, y = 0
    Answer: x = 0, y = -3 and x = -3, y = 0
    Solving Quadratic Simultaneous Equations Graphically

  5. Question 5. A cube has a volume of 512 cm³.
    Work out the total surface area of the cube.

    [3 marks]
    Show worked answerHide worked answer
    1. M1: edge = 512¹/³ = 8 cm
    2. M1: one face = 64 cm², 6 × 64
    3. A1: 384 cm²
    Answer: 384 cm²
    Fractional Powers
📅 Free live lesson: Tuesday 17th NovemberSave your free place →

Mixed Topic Worksheet Grades 6/7: Day 011

Grades 6/7Non-calculator

  1. Question 1. A fair coin is flipped 3 times.
    Work out the probability that the coin lands on heads all 3 times.

    Show worked answerHide worked answer
    1. M1: dfrac12 × dfrac12 × dfrac12
    2. A1: dfrac18
    Answer: dfrac18
    Independence
    [2 marks]

  2. Question 2. The heights, in cm, of 9 plants are 12, 13, 13, 15, 16, 17, 18, 19, 20. Work out the interquartile range.

    Show worked answerHide worked answer
    1. M1: lower quartile is the median of 12, 13, 13, 15; upper quartile is the median of 17, 18, 19, 20
    2. A1: 5.5
    Answer: 5.5 cm
    Benefits of IQR & Range
    [2 marks]

  3. Question 3. Simplify fully dfracx²-49x²+3x-28

    Show worked answerHide worked answer
    1. M1: (x-7)(x+7)
    2. M1: (x+7)(x-4)
    3. A1: dfracx-7x-4
    Answer: dfracx-7x-4
    Simplifying Algebraic Fractions
    [3 marks]

  4. Question 4. The graphs of y = x² + 2x - 3 and y = -x - 3 are drawn on the grid.
    Use the graphs to solve the simultaneous equations
    y = x² + 2x - 3
    y = -x - 3

    Show worked answerHide worked answer
    1. M1: the graphs cross at (0, -3) and (-3, 0)
    2. A1: x = 0, y = -3 and x = -3, y = 0
    Answer: x = 0, y = -3 and x = -3, y = 0
    Solving Quadratic Simultaneous Equations Graphically
    xy−55y = x² + 2x − 3y = −x − 3−4−220
    [2 marks]

  5. Question 5. A cube has a volume of 512 cm³.
    Work out the total surface area of the cube.

    Show worked answerHide worked answer
    1. M1: edge = 512¹/³ = 8 cm
    2. M1: one face = 64 cm², 6 × 64
    3. A1: 384 cm²
    Answer: 384 cm²
    Fractional Powers
    [3 marks]