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

Mixed Topic Worksheet Grades 4/5: Day 043

Grades 4/5Non-calculator

  1. Question 1. A circle has a diameter of 38 m.
    Work out the radius of the circle.

    Show worked answerHide worked answer
    1. M1: 38 ÷ 2
    2. A1: 19
    Answer: 19
    Key Circle Terms
    38 m
    [2 marks]

  2. Question 2. Work out 1dfrac15 + 2dfrac25
    Give your answer as a mixed number in its simplest form.

    Show worked answerHide worked answer
    1. M1: 1 + 2 = 3 and dfrac15+dfrac25=dfrac35
    2. A1: 3dfrac35
    Answer: 3dfrac35
    Adding Mixed Numbers
    [2 marks]

  3. Question 3. Line mathbfP passes through (0, 1) and (4, 9).
    Line mathbfQ passes through (1, 3) and (3, 8).
    Which line has the greater gradient?
    You must show your working.

    Show worked answerHide worked answer
    1. M1: (9 - 1) ÷ 4 = 2 and (8 - 3) ÷ 2 = 2.5
    2. A1: line mathbfQ
    Answer: Line mathbfQ: its gradient is 2.5 and the gradient of mathbfP is 2.
    Calculating the Gradient of a Line
    [2 marks]

  4. Question 4. xi=1, 2, 3, ldots, 40 and A=cube numbers. A number is chosen at random from xi. Dev says that P(A)=dfrac110. Is Dev correct? Give a reason.

    Show worked answerHide worked answer
    1. M1: A=1, 8, 27, so n(A)=3
    2. A1: No, P(A)=dfrac340
    Answer: No, P(A)=dfrac340
    Finding Probabilities of Sets
    [2 marks]

  5. Question 5. Ana invests £4 000 in an account.
    The account pays 2.5% compound interest per year.
    Work out the interest earned in the first 2 years.

    Show worked answerHide worked answer
    1. M1: 100 + 2.5 = 102.5%
    2. M1: 4000 × 1.025 × 1.025 = 4202.50
    3. A1: 202.50
    Answer: £202.50
    Compound Interest
    [3 marks]
📅 Free lesson: Tue 17th NovSave your place →

Mixed Topic Worksheet Grades 4/5: Day 043

Grades 4/5Non-calculator

  1. Question 1. A circle has a diameter of 38 m.
    Work out the radius of the circle.

    [2 marks]
    38 m
    Show worked answerHide worked answer
    1. M1: 38 ÷ 2
    2. A1: 19
    Answer: 19
    Key Circle Terms

  2. Question 2. Work out 1dfrac15 + 2dfrac25
    Give your answer as a mixed number in its simplest form.

    [2 marks]
    Show worked answerHide worked answer
    1. M1: 1 + 2 = 3 and dfrac15+dfrac25=dfrac35
    2. A1: 3dfrac35
    Answer: 3dfrac35
    Adding Mixed Numbers

  3. Question 3. Line mathbfP passes through (0, 1) and (4, 9).
    Line mathbfQ passes through (1, 3) and (3, 8).
    Which line has the greater gradient?
    You must show your working.

    [2 marks]
    Show worked answerHide worked answer
    1. M1: (9 - 1) ÷ 4 = 2 and (8 - 3) ÷ 2 = 2.5
    2. A1: line mathbfQ
    Answer: Line mathbfQ: its gradient is 2.5 and the gradient of mathbfP is 2.
    Calculating the Gradient of a Line

  4. Question 4. xi=1, 2, 3, ldots, 40 and A=cube numbers. A number is chosen at random from xi. Dev says that P(A)=dfrac110. Is Dev correct? Give a reason.

    [2 marks]
    Show worked answerHide worked answer
    1. M1: A=1, 8, 27, so n(A)=3
    2. A1: No, P(A)=dfrac340
    Answer: No, P(A)=dfrac340
    Finding Probabilities of Sets

  5. Question 5. Ana invests £4 000 in an account.
    The account pays 2.5% compound interest per year.
    Work out the interest earned in the first 2 years.

    [3 marks]
    Show worked answerHide worked answer
    1. M1: 100 + 2.5 = 102.5%
    2. M1: 4000 × 1.025 × 1.025 = 4202.50
    3. A1: 202.50
    Answer: £202.50
    Compound Interest
📅 Free live lesson: Tuesday 17th NovemberSave your free place →

Mixed Topic Worksheet Grades 4/5: Day 043

Grades 4/5Non-calculator

  1. Question 1. A circle has a diameter of 38 m.
    Work out the radius of the circle.

    Show worked answerHide worked answer
    1. M1: 38 ÷ 2
    2. A1: 19
    Answer: 19
    Key Circle Terms
    38 m
    [2 marks]

  2. Question 2. Work out 1dfrac15 + 2dfrac25
    Give your answer as a mixed number in its simplest form.

    Show worked answerHide worked answer
    1. M1: 1 + 2 = 3 and dfrac15+dfrac25=dfrac35
    2. A1: 3dfrac35
    Answer: 3dfrac35
    Adding Mixed Numbers
    [2 marks]

  3. Question 3. Line mathbfP passes through (0, 1) and (4, 9).
    Line mathbfQ passes through (1, 3) and (3, 8).
    Which line has the greater gradient?
    You must show your working.

    Show worked answerHide worked answer
    1. M1: (9 - 1) ÷ 4 = 2 and (8 - 3) ÷ 2 = 2.5
    2. A1: line mathbfQ
    Answer: Line mathbfQ: its gradient is 2.5 and the gradient of mathbfP is 2.
    Calculating the Gradient of a Line
    [2 marks]

  4. Question 4. xi=1, 2, 3, ldots, 40 and A=cube numbers. A number is chosen at random from xi. Dev says that P(A)=dfrac110. Is Dev correct? Give a reason.

    Show worked answerHide worked answer
    1. M1: A=1, 8, 27, so n(A)=3
    2. A1: No, P(A)=dfrac340
    Answer: No, P(A)=dfrac340
    Finding Probabilities of Sets
    [2 marks]

  5. Question 5. Ana invests £4 000 in an account.
    The account pays 2.5% compound interest per year.
    Work out the interest earned in the first 2 years.

    Show worked answerHide worked answer
    1. M1: 100 + 2.5 = 102.5%
    2. M1: 4000 × 1.025 × 1.025 = 4202.50
    3. A1: 202.50
    Answer: £202.50
    Compound Interest
    [3 marks]