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

Mixed Topic Worksheet Grades 4/5: Day 089

Grades 4/5Non-calculator

  1. Question 1. Ali invests some money in an account that pays 5% simple interest per year.
    After 2 years the interest is £84.
    Work out how much money Ali invested.

    Show worked answerHide worked answer
    1. M1: 84 ÷ 2 = 42
    2. M1: 42 ÷ 5 × 100
    3. A1: 840
    Answer: £840
    Simple Interest
    [3 marks]

  2. Question 2. Work out 200% of £35.

    Show worked answerHide worked answer
    1. M1: 200% = 2 × 35
    2. A1: £70
    Answer: £70
    Percentages Greater than 100
    [2 marks]

  3. Question 3. A scatter graph shows height against age for children aged 5 to 12.
    Ali uses the line of best fit to predict the height of a 40 year old.
    True or False: his prediction is reliable? Give a reason.

    Show worked answerHide worked answer
    1. B1: False
    2. B1: age 40 is far outside the data range 5 to 12
    Answer: False; it is extrapolation far outside the range of the data
    Danger of Extrapolation
    [2 marks]

  4. Question 4. A straight line passes through (a, 11) and (3, 5).
    The gradient of the line is 2.
    Work out the value of a.

    Show worked answerHide worked answer
    1. M1: dfrac11 - 5a - 3 = 2
    2. M1: a - 3 = 3
    3. A1: a = 6
    Answer: 6
    Equations of a Straight Line Using Two Points
    [3 marks]

  5. Question 5. The diagram shows a shape made from a rectangle and a triangle.
    The area of the shape is 144 cm².
    Work out the value of x.

    Show worked answerHide worked answer
    1. M1: triangle area = 144 - 12 × 9 = 36
    2. M1: tfrac12 × 12 × x = 36
    3. A1: 6
    Answer: 6 cm
    Area of Compound Shapes
    12 cm9 cmxNot drawn accurately
    [3 marks]
📅 Free lesson: Tue 17th NovSave your place →

Mixed Topic Worksheet Grades 4/5: Day 089

Grades 4/5Non-calculator

  1. Question 1. Ali invests some money in an account that pays 5% simple interest per year.
    After 2 years the interest is £84.
    Work out how much money Ali invested.

    [3 marks]
    Show worked answerHide worked answer
    1. M1: 84 ÷ 2 = 42
    2. M1: 42 ÷ 5 × 100
    3. A1: 840
    Answer: £840
    Simple Interest

  2. Question 2. Work out 200% of £35.

    [2 marks]
    Show worked answerHide worked answer
    1. M1: 200% = 2 × 35
    2. A1: £70
    Answer: £70
    Percentages Greater than 100

  3. Question 3. A scatter graph shows height against age for children aged 5 to 12.
    Ali uses the line of best fit to predict the height of a 40 year old.
    True or False: his prediction is reliable? Give a reason.

    [2 marks]
    Show worked answerHide worked answer
    1. B1: False
    2. B1: age 40 is far outside the data range 5 to 12
    Answer: False; it is extrapolation far outside the range of the data
    Danger of Extrapolation

  4. Question 4. A straight line passes through (a, 11) and (3, 5).
    The gradient of the line is 2.
    Work out the value of a.

    [3 marks]
    Show worked answerHide worked answer
    1. M1: dfrac11 - 5a - 3 = 2
    2. M1: a - 3 = 3
    3. A1: a = 6
    Answer: 6
    Equations of a Straight Line Using Two Points

  5. Question 5. The diagram shows a shape made from a rectangle and a triangle.
    The area of the shape is 144 cm².
    Work out the value of x.

    [3 marks]
    12 cm9 cmxNot drawn accurately
    Show worked answerHide worked answer
    1. M1: triangle area = 144 - 12 × 9 = 36
    2. M1: tfrac12 × 12 × x = 36
    3. A1: 6
    Answer: 6 cm
    Area of Compound Shapes
📅 Free live lesson: Tuesday 17th NovemberSave your free place →

Mixed Topic Worksheet Grades 4/5: Day 089

Grades 4/5Non-calculator

  1. Question 1. Ali invests some money in an account that pays 5% simple interest per year.
    After 2 years the interest is £84.
    Work out how much money Ali invested.

    Show worked answerHide worked answer
    1. M1: 84 ÷ 2 = 42
    2. M1: 42 ÷ 5 × 100
    3. A1: 840
    Answer: £840
    Simple Interest
    [3 marks]

  2. Question 2. Work out 200% of £35.

    Show worked answerHide worked answer
    1. M1: 200% = 2 × 35
    2. A1: £70
    Answer: £70
    Percentages Greater than 100
    [2 marks]

  3. Question 3. A scatter graph shows height against age for children aged 5 to 12.
    Ali uses the line of best fit to predict the height of a 40 year old.
    True or False: his prediction is reliable? Give a reason.

    Show worked answerHide worked answer
    1. B1: False
    2. B1: age 40 is far outside the data range 5 to 12
    Answer: False; it is extrapolation far outside the range of the data
    Danger of Extrapolation
    [2 marks]

  4. Question 4. A straight line passes through (a, 11) and (3, 5).
    The gradient of the line is 2.
    Work out the value of a.

    Show worked answerHide worked answer
    1. M1: dfrac11 - 5a - 3 = 2
    2. M1: a - 3 = 3
    3. A1: a = 6
    Answer: 6
    Equations of a Straight Line Using Two Points
    [3 marks]

  5. Question 5. The diagram shows a shape made from a rectangle and a triangle.
    The area of the shape is 144 cm².
    Work out the value of x.

    Show worked answerHide worked answer
    1. M1: triangle area = 144 - 12 × 9 = 36
    2. M1: tfrac12 × 12 × x = 36
    3. A1: 6
    Answer: 6 cm
    Area of Compound Shapes
    12 cm9 cmxNot drawn accurately
    [3 marks]