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

Mixed Topic Worksheet Grades 4/5: Day 014

Grades 4/5Calculator

  1. Question 1. Here are eight numbers.
    17 4 23 11 8 19 6 14
    Work out the median.

    Show worked answerHide worked answer
    1. M1: orders the numbers: 4, 6, 8, 11, 14, 17, 19, 23
    2. M1: the middle two are 11 and 14, so (11 + 14) ÷ 2
    3. A1: 12.5
    Answer: 12.5
    Median from a List
    [3 marks]

  2. Question 2. Work out 3 × 1dfrac12
    Give your answer as a mixed number in its simplest form.

    Show worked answerHide worked answer
    1. M1: 3 × 1 = 3 and 3 × dfrac12=dfrac32
    2. A1: 4dfrac12
    Answer: 4dfrac12
    Multiplying Mixed Numbers
    [2 marks]

  3. Question 3. Jess spins a spinner 10 times and gets red 4 times. Mo spins the same spinner 500 times and gets red 210 times.
    Jess says, "My estimate of the probability of red is just as reliable as Mo's."
    Is Jess right?
    Give a reason for your answer.

    Show worked answerHide worked answer
    1. B1: No
    2. B1: reason that Mo has many more spins (more trials)
    Answer: No. Mo's estimate is more reliable because it is based on many more spins.
    Best Relative Frequency Estimates
    [2 marks]

  4. Question 4. Rectangle A and rectangle B are similar.
    Work out the scale factor of the enlargement that maps rectangle A onto rectangle B.

    Show worked answerHide worked answer
    1. M1: 10 ÷ 4
    2. A1: 2.5
    Answer: 2.5
    Calculating Scale Factor
    4 cm3 cm10 cm7.5 cmABNot drawn accurately
    [2 marks]

  5. Question 5. Work out 9.5 × tan 36^°
    Give your answer to 1 decimal place.

    Show worked answerHide worked answer
    1. M1: 9.5 × tan 36°
    2. A1: 6.9
    Answer: 6.9
    Fundamentals of SOH, CAH, TOA
    [2 marks]
📅 Free lesson: Tue 17th NovSave your place →

Mixed Topic Worksheet Grades 4/5: Day 014

Grades 4/5Calculator

  1. Question 1. Here are eight numbers.
    17 4 23 11 8 19 6 14
    Work out the median.

    [3 marks]
    Show worked answerHide worked answer
    1. M1: orders the numbers: 4, 6, 8, 11, 14, 17, 19, 23
    2. M1: the middle two are 11 and 14, so (11 + 14) ÷ 2
    3. A1: 12.5
    Answer: 12.5
    Median from a List

  2. Question 2. Work out 3 × 1dfrac12
    Give your answer as a mixed number in its simplest form.

    [2 marks]
    Show worked answerHide worked answer
    1. M1: 3 × 1 = 3 and 3 × dfrac12=dfrac32
    2. A1: 4dfrac12
    Answer: 4dfrac12
    Multiplying Mixed Numbers

  3. Question 3. Jess spins a spinner 10 times and gets red 4 times. Mo spins the same spinner 500 times and gets red 210 times.
    Jess says, "My estimate of the probability of red is just as reliable as Mo's."
    Is Jess right?
    Give a reason for your answer.

    [2 marks]
    Show worked answerHide worked answer
    1. B1: No
    2. B1: reason that Mo has many more spins (more trials)
    Answer: No. Mo's estimate is more reliable because it is based on many more spins.
    Best Relative Frequency Estimates

  4. Question 4. Rectangle A and rectangle B are similar.
    Work out the scale factor of the enlargement that maps rectangle A onto rectangle B.

    [2 marks]
    4 cm3 cm10 cm7.5 cmABNot drawn accurately
    Show worked answerHide worked answer
    1. M1: 10 ÷ 4
    2. A1: 2.5
    Answer: 2.5
    Calculating Scale Factor

  5. Question 5. Work out 9.5 × tan 36^°
    Give your answer to 1 decimal place.

    [2 marks]
    Show worked answerHide worked answer
    1. M1: 9.5 × tan 36°
    2. A1: 6.9
    Answer: 6.9
    Fundamentals of SOH, CAH, TOA
📅 Free live lesson: Tuesday 17th NovemberSave your free place →

Mixed Topic Worksheet Grades 4/5: Day 014

Grades 4/5Calculator

  1. Question 1. Here are eight numbers.
    17 4 23 11 8 19 6 14
    Work out the median.

    Show worked answerHide worked answer
    1. M1: orders the numbers: 4, 6, 8, 11, 14, 17, 19, 23
    2. M1: the middle two are 11 and 14, so (11 + 14) ÷ 2
    3. A1: 12.5
    Answer: 12.5
    Median from a List
    [3 marks]

  2. Question 2. Work out 3 × 1dfrac12
    Give your answer as a mixed number in its simplest form.

    Show worked answerHide worked answer
    1. M1: 3 × 1 = 3 and 3 × dfrac12=dfrac32
    2. A1: 4dfrac12
    Answer: 4dfrac12
    Multiplying Mixed Numbers
    [2 marks]

  3. Question 3. Jess spins a spinner 10 times and gets red 4 times. Mo spins the same spinner 500 times and gets red 210 times.
    Jess says, "My estimate of the probability of red is just as reliable as Mo's."
    Is Jess right?
    Give a reason for your answer.

    Show worked answerHide worked answer
    1. B1: No
    2. B1: reason that Mo has many more spins (more trials)
    Answer: No. Mo's estimate is more reliable because it is based on many more spins.
    Best Relative Frequency Estimates
    [2 marks]

  4. Question 4. Rectangle A and rectangle B are similar.
    Work out the scale factor of the enlargement that maps rectangle A onto rectangle B.

    Show worked answerHide worked answer
    1. M1: 10 ÷ 4
    2. A1: 2.5
    Answer: 2.5
    Calculating Scale Factor
    4 cm3 cm10 cm7.5 cmABNot drawn accurately
    [2 marks]

  5. Question 5. Work out 9.5 × tan 36^°
    Give your answer to 1 decimal place.

    Show worked answerHide worked answer
    1. M1: 9.5 × tan 36°
    2. A1: 6.9
    Answer: 6.9
    Fundamentals of SOH, CAH, TOA
    [2 marks]