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

Mixed Topic Worksheet Grades 4/5: Day 048

Grades 4/5Calculator

  1. Question 1. The plan of a room is a rectangle.
    The scale of the plan is 1 cm to 0.5 m.
    Work out the real area of the room.

    Show worked answerHide worked answer
    1. M1: 8 × 0.5 = 4 and 5 × 0.5 = 2.5
    2. M1: 4 × 2.5
    3. A1: 10
    Answer: 10 m²
    Scale Drawings
    8 cm5 cmNot drawn accurately
    [3 marks]

  2. Question 2. Expand and simplify (m - 6)(m - 2)

    Show worked answerHide worked answer
    1. M1: m × m = m², m × (-2) = -2m, -6 × m = -6m, -6 × (-2) = 12
    2. A1: m² - 8m + 12
    Answer: m² - 8m + 12
    Expanding Double Brackets
    [2 marks]

  3. Question 3. A line of best fit for used cars is V = 9000 - 800a, where V is the value in pounds and a is the age in years.
    Show that this line should not be used for a car aged 12 years.

    Show worked answerHide worked answer
    1. M1: 9000 - 800 × 12
    2. A1: -600, a negative value, which is impossible
    Answer: V = 9000 - 9600 = -600, but a car cannot have a negative value
    Danger of Extrapolation
    [2 marks]

  4. Question 4. Work out the value of x.
    Give your answer to 1 decimal place.

    Show worked answerHide worked answer
    1. M1: x = 12 × sin 35°
    2. A1: 6.9
    Answer: 6.9 cm
    Finding Side Lengths Using SOH, CAH, TOA
    x12 cm35°ABC
    [2 marks]

  5. Question 5. A is the point (-1, 2).
    B is the point (k, 6), where k is positive.
    The distance AB is 5.
    Work out the value of k.

    Show worked answerHide worked answer
    1. M1: (k + 1)² + 4² = 5², so k + 1 = 3
    2. A1: 2
    Answer: 2
    Finding the Distance Between Two Points
    [2 marks]
📅 Free lesson: Tue 17th NovSave your place →

Mixed Topic Worksheet Grades 4/5: Day 048

Grades 4/5Calculator

  1. Question 1. The plan of a room is a rectangle.
    The scale of the plan is 1 cm to 0.5 m.
    Work out the real area of the room.

    [3 marks]
    8 cm5 cmNot drawn accurately
    Show worked answerHide worked answer
    1. M1: 8 × 0.5 = 4 and 5 × 0.5 = 2.5
    2. M1: 4 × 2.5
    3. A1: 10
    Answer: 10 m²
    Scale Drawings

  2. Question 2. Expand and simplify (m - 6)(m - 2)

    [2 marks]
    Show worked answerHide worked answer
    1. M1: m × m = m², m × (-2) = -2m, -6 × m = -6m, -6 × (-2) = 12
    2. A1: m² - 8m + 12
    Answer: m² - 8m + 12
    Expanding Double Brackets

  3. Question 3. A line of best fit for used cars is V = 9000 - 800a, where V is the value in pounds and a is the age in years.
    Show that this line should not be used for a car aged 12 years.

    [2 marks]
    Show worked answerHide worked answer
    1. M1: 9000 - 800 × 12
    2. A1: -600, a negative value, which is impossible
    Answer: V = 9000 - 9600 = -600, but a car cannot have a negative value
    Danger of Extrapolation

  4. Question 4. Work out the value of x.
    Give your answer to 1 decimal place.

    [2 marks]
    x12 cm35°ABC
    Show worked answerHide worked answer
    1. M1: x = 12 × sin 35°
    2. A1: 6.9
    Answer: 6.9 cm
    Finding Side Lengths Using SOH, CAH, TOA

  5. Question 5. A is the point (-1, 2).
    B is the point (k, 6), where k is positive.
    The distance AB is 5.
    Work out the value of k.

    [2 marks]
    Show worked answerHide worked answer
    1. M1: (k + 1)² + 4² = 5², so k + 1 = 3
    2. A1: 2
    Answer: 2
    Finding the Distance Between Two Points
📅 Free live lesson: Tuesday 17th NovemberSave your free place →

Mixed Topic Worksheet Grades 4/5: Day 048

Grades 4/5Calculator

  1. Question 1. The plan of a room is a rectangle.
    The scale of the plan is 1 cm to 0.5 m.
    Work out the real area of the room.

    Show worked answerHide worked answer
    1. M1: 8 × 0.5 = 4 and 5 × 0.5 = 2.5
    2. M1: 4 × 2.5
    3. A1: 10
    Answer: 10 m²
    Scale Drawings
    8 cm5 cmNot drawn accurately
    [3 marks]

  2. Question 2. Expand and simplify (m - 6)(m - 2)

    Show worked answerHide worked answer
    1. M1: m × m = m², m × (-2) = -2m, -6 × m = -6m, -6 × (-2) = 12
    2. A1: m² - 8m + 12
    Answer: m² - 8m + 12
    Expanding Double Brackets
    [2 marks]

  3. Question 3. A line of best fit for used cars is V = 9000 - 800a, where V is the value in pounds and a is the age in years.
    Show that this line should not be used for a car aged 12 years.

    Show worked answerHide worked answer
    1. M1: 9000 - 800 × 12
    2. A1: -600, a negative value, which is impossible
    Answer: V = 9000 - 9600 = -600, but a car cannot have a negative value
    Danger of Extrapolation
    [2 marks]

  4. Question 4. Work out the value of x.
    Give your answer to 1 decimal place.

    Show worked answerHide worked answer
    1. M1: x = 12 × sin 35°
    2. A1: 6.9
    Answer: 6.9 cm
    Finding Side Lengths Using SOH, CAH, TOA
    x12 cm35°ABC
    [2 marks]

  5. Question 5. A is the point (-1, 2).
    B is the point (k, 6), where k is positive.
    The distance AB is 5.
    Work out the value of k.

    Show worked answerHide worked answer
    1. M1: (k + 1)² + 4² = 5², so k + 1 = 3
    2. A1: 2
    Answer: 2
    Finding the Distance Between Two Points
    [2 marks]