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Mixed Topic Worksheet Grades 4/5: Day 059

Grades 4/5Non-calculator

  1. Question 1. A straight line crosses the lines AB and CD.
    Two of the angles formed are in the same position at the two crossing points.
    The two angles are 83^° and 85^°.
    Is AB parallel to CD?
    Explain your answer.

    Show worked answerHide worked answer
    1. B1: No
    2. B1: corresponding angles would be equal if the lines were parallel
    Answer: No, corresponding angles would be equal if the lines were parallel
    Corresponding Angles
    [2 marks]

  2. Question 2. M(4, -1) is the midpoint of PQ.
    P is the point (7, 2).
    Work out the coordinates of Q.

    Show worked answerHide worked answer
    1. M1: 2 × 4 - 7 or 2 × (-1) - 2
    2. A1: (1, -4)
    Answer: (1, -4)
    Midpoint of Two Points
    [2 marks]

  3. Question 3. Two shops sell the same jacket for the same price. Shop A takes 2/5 off the price and Shop B takes 3/8 off the price. Which shop takes the larger fraction off the price? Give a reason for your answer.

    Show worked answerHide worked answer
    1. M1: Write each fraction with denominator 40: 16/40 and 15/40
    2. A1: Shop A with a reason
    Answer: Shop A; 16/40 is greater than 15/40.
    Ordering Fractions
    [2 marks]

  4. Question 4. £1 = 1.30 US dollars

    Ana changes some pounds to US dollars.
    She gets 520 US dollars.

    Work out how many pounds Ana changed.

    Show worked answerHide worked answer
    1. M1: 520 ÷ 1.30
    2. A1: 400
    Answer: £400
    Currency Conversions
    [2 marks]

  5. Question 5. 40 students: 20 study French, 15 study Spanish, 8 study both.
    Ali says 5 study neither language. Bea says 13 study neither.
    Who is correct? You must show your working.

    Show worked answerHide worked answer
    1. M1: 20 + 15 - 8 = 27
    2. M1: 40 - 27
    3. C1: 13 study neither, so Bea is correct
    Answer: Bea is correct: 13 students study neither
    Constructing Venn Diagrams
    [3 marks]
📅 Free lesson: Tue 17th NovSave your place →

Mixed Topic Worksheet Grades 4/5: Day 059

Grades 4/5Non-calculator

  1. Question 1. A straight line crosses the lines AB and CD.
    Two of the angles formed are in the same position at the two crossing points.
    The two angles are 83^° and 85^°.
    Is AB parallel to CD?
    Explain your answer.

    [2 marks]
    Show worked answerHide worked answer
    1. B1: No
    2. B1: corresponding angles would be equal if the lines were parallel
    Answer: No, corresponding angles would be equal if the lines were parallel
    Corresponding Angles

  2. Question 2. M(4, -1) is the midpoint of PQ.
    P is the point (7, 2).
    Work out the coordinates of Q.

    [2 marks]
    Show worked answerHide worked answer
    1. M1: 2 × 4 - 7 or 2 × (-1) - 2
    2. A1: (1, -4)
    Answer: (1, -4)
    Midpoint of Two Points

  3. Question 3. Two shops sell the same jacket for the same price. Shop A takes 2/5 off the price and Shop B takes 3/8 off the price. Which shop takes the larger fraction off the price? Give a reason for your answer.

    [2 marks]
    Show worked answerHide worked answer
    1. M1: Write each fraction with denominator 40: 16/40 and 15/40
    2. A1: Shop A with a reason
    Answer: Shop A; 16/40 is greater than 15/40.
    Ordering Fractions

  4. Question 4. £1 = 1.30 US dollars

    Ana changes some pounds to US dollars.
    She gets 520 US dollars.

    Work out how many pounds Ana changed.

    [2 marks]
    Show worked answerHide worked answer
    1. M1: 520 ÷ 1.30
    2. A1: 400
    Answer: £400
    Currency Conversions

  5. Question 5. 40 students: 20 study French, 15 study Spanish, 8 study both.
    Ali says 5 study neither language. Bea says 13 study neither.
    Who is correct? You must show your working.

    [3 marks]
    Show worked answerHide worked answer
    1. M1: 20 + 15 - 8 = 27
    2. M1: 40 - 27
    3. C1: 13 study neither, so Bea is correct
    Answer: Bea is correct: 13 students study neither
    Constructing Venn Diagrams
📅 Free live lesson: Tuesday 17th NovemberSave your free place →

Mixed Topic Worksheet Grades 4/5: Day 059

Grades 4/5Non-calculator

  1. Question 1. A straight line crosses the lines AB and CD.
    Two of the angles formed are in the same position at the two crossing points.
    The two angles are 83^° and 85^°.
    Is AB parallel to CD?
    Explain your answer.

    Show worked answerHide worked answer
    1. B1: No
    2. B1: corresponding angles would be equal if the lines were parallel
    Answer: No, corresponding angles would be equal if the lines were parallel
    Corresponding Angles
    [2 marks]

  2. Question 2. M(4, -1) is the midpoint of PQ.
    P is the point (7, 2).
    Work out the coordinates of Q.

    Show worked answerHide worked answer
    1. M1: 2 × 4 - 7 or 2 × (-1) - 2
    2. A1: (1, -4)
    Answer: (1, -4)
    Midpoint of Two Points
    [2 marks]

  3. Question 3. Two shops sell the same jacket for the same price. Shop A takes 2/5 off the price and Shop B takes 3/8 off the price. Which shop takes the larger fraction off the price? Give a reason for your answer.

    Show worked answerHide worked answer
    1. M1: Write each fraction with denominator 40: 16/40 and 15/40
    2. A1: Shop A with a reason
    Answer: Shop A; 16/40 is greater than 15/40.
    Ordering Fractions
    [2 marks]

  4. Question 4. £1 = 1.30 US dollars

    Ana changes some pounds to US dollars.
    She gets 520 US dollars.

    Work out how many pounds Ana changed.

    Show worked answerHide worked answer
    1. M1: 520 ÷ 1.30
    2. A1: 400
    Answer: £400
    Currency Conversions
    [2 marks]

  5. Question 5. 40 students: 20 study French, 15 study Spanish, 8 study both.
    Ali says 5 study neither language. Bea says 13 study neither.
    Who is correct? You must show your working.

    Show worked answerHide worked answer
    1. M1: 20 + 15 - 8 = 27
    2. M1: 40 - 27
    3. C1: 13 study neither, so Bea is correct
    Answer: Bea is correct: 13 students study neither
    Constructing Venn Diagrams
    [3 marks]