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

Mixed Topic Worksheet Grades 4/5: Day 082

Grades 4/5Calculator

  1. Question 1. The two-way table shows the subject chosen by some pupils.
    (a) Write down the number of Year 10 pupils who chose Art. [1]
    (b) Work out the total number of pupils. [1]

    Show worked answerHide worked answer
    1. (a) B1: 14
    2. (b) B1: 18 + 27 + 14 + 21 = 80
    Answer: (a) 14; (b) 80
    Fundamentals of Two-Way Tables
    ArtMusicYear 91827Year 101421
    [2 marks]

  2. Question 2. A force of 450 N acts on an area of 3 m².

    Work out the pressure.

    Show worked answerHide worked answer
    1. M1: 450 ÷ 3
    2. A1: 150
    Answer: 150 N/m²
    Pressure, Force & Area Calculations
    [2 marks]

  3. Question 3. The cost, C pounds, of hiring a canoe for h hours is given by
    C = 8 + 3(h - 1)
    Work out the cost of hiring a canoe for 6 hours.

    Show worked answerHide worked answer
    1. M1: 6 - 1 = 5
    2. M1: 3 × 5 = 15
    3. A1: pounds 23
    Answer: £23
    BIDMAS with Algebra
    [3 marks]

  4. Question 4. Here is a cylinder. Work out the volume of the cylinder.
    Give your answer to 1 decimal place.

    Show worked answerHide worked answer
    1. M1: π × 5² × 12
    2. A1: 942.5
    Answer: 942.5
    Volume of Cylinders
    12 cm5 cm
    [2 marks]

  5. Question 5. Here are some axes.
    Sketch the graph of y = dfrac6x

    Show worked answerHide worked answer
    1. M1: Smooth branch through (2, 3) and (3, 2) in the first quadrant, not touching an axis
    2. A1: Other branch through (-2, -3) and (-3, -2) in the third quadrant, not touching an axis
    xy−6−4−2246−6−4−2246
    Answer: Two smooth branches in the first and third quadrants
    Sketching Reciprocal Graphs
    xy−6−4−2246−6−4−2246
    [2 marks]
📅 Free lesson: Tue 17th NovSave your place →

Mixed Topic Worksheet Grades 4/5: Day 082

Grades 4/5Calculator

  1. Question 1. The two-way table shows the subject chosen by some pupils.
    (a) Write down the number of Year 10 pupils who chose Art. [1]
    (b) Work out the total number of pupils. [1]

    [2 marks]
    ArtMusicYear 91827Year 101421
    Show worked answerHide worked answer
    1. (a) B1: 14
    2. (b) B1: 18 + 27 + 14 + 21 = 80
    Answer: (a) 14; (b) 80
    Fundamentals of Two-Way Tables

  2. Question 2. A force of 450 N acts on an area of 3 m².

    Work out the pressure.

    [2 marks]
    Show worked answerHide worked answer
    1. M1: 450 ÷ 3
    2. A1: 150
    Answer: 150 N/m²
    Pressure, Force & Area Calculations

  3. Question 3. The cost, C pounds, of hiring a canoe for h hours is given by
    C = 8 + 3(h - 1)
    Work out the cost of hiring a canoe for 6 hours.

    [3 marks]
    Show worked answerHide worked answer
    1. M1: 6 - 1 = 5
    2. M1: 3 × 5 = 15
    3. A1: pounds 23
    Answer: £23
    BIDMAS with Algebra

  4. Question 4. Here is a cylinder. Work out the volume of the cylinder.
    Give your answer to 1 decimal place.

    [2 marks]
    12 cm5 cm
    Show worked answerHide worked answer
    1. M1: π × 5² × 12
    2. A1: 942.5
    Answer: 942.5
    Volume of Cylinders

  5. Question 5. Here are some axes.
    Sketch the graph of y = dfrac6x

    [2 marks]
    xy−6−4−2246−6−4−2246
    Show worked answerHide worked answer
    1. M1: Smooth branch through (2, 3) and (3, 2) in the first quadrant, not touching an axis
    2. A1: Other branch through (-2, -3) and (-3, -2) in the third quadrant, not touching an axis
    xy−6−4−2246−6−4−2246
    Answer: Two smooth branches in the first and third quadrants
    Sketching Reciprocal Graphs
📅 Free live lesson: Tuesday 17th NovemberSave your free place →

Mixed Topic Worksheet Grades 4/5: Day 082

Grades 4/5Calculator

  1. Question 1. The two-way table shows the subject chosen by some pupils.
    (a) Write down the number of Year 10 pupils who chose Art. [1]
    (b) Work out the total number of pupils. [1]

    Show worked answerHide worked answer
    1. (a) B1: 14
    2. (b) B1: 18 + 27 + 14 + 21 = 80
    Answer: (a) 14; (b) 80
    Fundamentals of Two-Way Tables
    ArtMusicYear 91827Year 101421
    [2 marks]

  2. Question 2. A force of 450 N acts on an area of 3 m².

    Work out the pressure.

    Show worked answerHide worked answer
    1. M1: 450 ÷ 3
    2. A1: 150
    Answer: 150 N/m²
    Pressure, Force & Area Calculations
    [2 marks]

  3. Question 3. The cost, C pounds, of hiring a canoe for h hours is given by
    C = 8 + 3(h - 1)
    Work out the cost of hiring a canoe for 6 hours.

    Show worked answerHide worked answer
    1. M1: 6 - 1 = 5
    2. M1: 3 × 5 = 15
    3. A1: pounds 23
    Answer: £23
    BIDMAS with Algebra
    [3 marks]

  4. Question 4. Here is a cylinder. Work out the volume of the cylinder.
    Give your answer to 1 decimal place.

    Show worked answerHide worked answer
    1. M1: π × 5² × 12
    2. A1: 942.5
    Answer: 942.5
    Volume of Cylinders
    12 cm5 cm
    [2 marks]

  5. Question 5. Here are some axes.
    Sketch the graph of y = dfrac6x

    Show worked answerHide worked answer
    1. M1: Smooth branch through (2, 3) and (3, 2) in the first quadrant, not touching an axis
    2. A1: Other branch through (-2, -3) and (-3, -2) in the third quadrant, not touching an axis
    xy−6−4−2246−6−4−2246
    Answer: Two smooth branches in the first and third quadrants
    Sketching Reciprocal Graphs
    xy−6−4−2246−6−4−2246
    [2 marks]