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

Mixed Topic Worksheet Grades 4/5: Day 018

Grades 4/5Non-calculator

  1. Question 1. People under 30 and people aged 30 or over chose tea or coffee.
    Work out the number of people under 30 who chose coffee.

    Show worked answerHide worked answer
    1. M1: 33 - 14
    2. A1: 19
    Answer: 19
    Fundamentals of Two-Way Tables
    TeaCoffeeTotalUnder 30143330 or over201737Total343670
    [2 marks]

  2. Question 2. A tank is a cuboid 50 cm long, 40 cm wide and 30 cm high.

    Work out the volume of the tank in litres.

    Show worked answerHide worked answer
    1. M1: 50 × 40 × 30 = 60 000 cm³
    2. A1: 60 000 ÷ 1000 = 60
    Answer: 60 litres
    Volume Conversions
    [2 marks]

  3. Question 3. A rectangle is 5 cm by 3 cm.
    It is enlarged by scale factor 4.
    Work out the perimeter of the enlarged rectangle.

    Show worked answerHide worked answer
    1. M1: enlarged sides 5 × 4 = 20 and 3 × 4 = 12
    2. A1: 2 × (20 + 12) = 64 cm
    Answer: 64 cm
    Enlargements with Positive Integer Scale Factors
    [2 marks]

  4. Question 4. Here is the graph of y = dfrac4x
    (a) Use the graph to write down the value of y when x = -2 [1]
    (b) Use the graph to write down the value of x when y = 1 [1]

    Show worked answerHide worked answer
    1. (a) B1: -2
    2. (b) B1: 4
    Answer: (a) -2; (b) 4
    Sketching Reciprocal Graphs
    xy−6−4−2246−6−4−2246
    [2 marks]

  5. Question 5. A straight line has gradient -1.5.
    The line passes through the point (4, -2).
    Work out the equation of the line.
    Give your answer in the form y = mx + c

    Show worked answerHide worked answer
    1. M1: -2 = -1.5 × 4 + c
    2. M1: c = -2 + 6
    3. A1: y = -1.5x + 4
    Answer: y = -1.5x + 4
    Equations of a Straight Line with a Point & a Gradient
    [3 marks]
📅 Free lesson: Tue 17th NovSave your place →

Mixed Topic Worksheet Grades 4/5: Day 018

Grades 4/5Non-calculator

  1. Question 1. People under 30 and people aged 30 or over chose tea or coffee.
    Work out the number of people under 30 who chose coffee.

    [2 marks]
    TeaCoffeeTotalUnder 30143330 or over201737Total343670
    Show worked answerHide worked answer
    1. M1: 33 - 14
    2. A1: 19
    Answer: 19
    Fundamentals of Two-Way Tables

  2. Question 2. A tank is a cuboid 50 cm long, 40 cm wide and 30 cm high.

    Work out the volume of the tank in litres.

    [2 marks]
    Show worked answerHide worked answer
    1. M1: 50 × 40 × 30 = 60 000 cm³
    2. A1: 60 000 ÷ 1000 = 60
    Answer: 60 litres
    Volume Conversions

  3. Question 3. A rectangle is 5 cm by 3 cm.
    It is enlarged by scale factor 4.
    Work out the perimeter of the enlarged rectangle.

    [2 marks]
    Show worked answerHide worked answer
    1. M1: enlarged sides 5 × 4 = 20 and 3 × 4 = 12
    2. A1: 2 × (20 + 12) = 64 cm
    Answer: 64 cm
    Enlargements with Positive Integer Scale Factors

  4. Question 4. Here is the graph of y = dfrac4x
    (a) Use the graph to write down the value of y when x = -2 [1]
    (b) Use the graph to write down the value of x when y = 1 [1]

    [2 marks]
    xy−6−4−2246−6−4−2246
    Show worked answerHide worked answer
    1. (a) B1: -2
    2. (b) B1: 4
    Answer: (a) -2; (b) 4
    Sketching Reciprocal Graphs

  5. Question 5. A straight line has gradient -1.5.
    The line passes through the point (4, -2).
    Work out the equation of the line.
    Give your answer in the form y = mx + c

    [3 marks]
    Show worked answerHide worked answer
    1. M1: -2 = -1.5 × 4 + c
    2. M1: c = -2 + 6
    3. A1: y = -1.5x + 4
    Answer: y = -1.5x + 4
    Equations of a Straight Line with a Point & a Gradient
📅 Free live lesson: Tuesday 17th NovemberSave your free place →

Mixed Topic Worksheet Grades 4/5: Day 018

Grades 4/5Non-calculator

  1. Question 1. People under 30 and people aged 30 or over chose tea or coffee.
    Work out the number of people under 30 who chose coffee.

    Show worked answerHide worked answer
    1. M1: 33 - 14
    2. A1: 19
    Answer: 19
    Fundamentals of Two-Way Tables
    TeaCoffeeTotalUnder 30143330 or over201737Total343670
    [2 marks]

  2. Question 2. A tank is a cuboid 50 cm long, 40 cm wide and 30 cm high.

    Work out the volume of the tank in litres.

    Show worked answerHide worked answer
    1. M1: 50 × 40 × 30 = 60 000 cm³
    2. A1: 60 000 ÷ 1000 = 60
    Answer: 60 litres
    Volume Conversions
    [2 marks]

  3. Question 3. A rectangle is 5 cm by 3 cm.
    It is enlarged by scale factor 4.
    Work out the perimeter of the enlarged rectangle.

    Show worked answerHide worked answer
    1. M1: enlarged sides 5 × 4 = 20 and 3 × 4 = 12
    2. A1: 2 × (20 + 12) = 64 cm
    Answer: 64 cm
    Enlargements with Positive Integer Scale Factors
    [2 marks]

  4. Question 4. Here is the graph of y = dfrac4x
    (a) Use the graph to write down the value of y when x = -2 [1]
    (b) Use the graph to write down the value of x when y = 1 [1]

    Show worked answerHide worked answer
    1. (a) B1: -2
    2. (b) B1: 4
    Answer: (a) -2; (b) 4
    Sketching Reciprocal Graphs
    xy−6−4−2246−6−4−2246
    [2 marks]

  5. Question 5. A straight line has gradient -1.5.
    The line passes through the point (4, -2).
    Work out the equation of the line.
    Give your answer in the form y = mx + c

    Show worked answerHide worked answer
    1. M1: -2 = -1.5 × 4 + c
    2. M1: c = -2 + 6
    3. A1: y = -1.5x + 4
    Answer: y = -1.5x + 4
    Equations of a Straight Line with a Point & a Gradient
    [3 marks]