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

Mixed Topic Worksheet Grades 4/5: Day 094

Grades 4/5Calculator

  1. Question 1. Fifty cards are numbered 1 to 50.
    The cards are fair, face down and identical.
    One card is taken at random.
    Work out the probability that the number on the card is a square number.

    Show worked answerHide worked answer
    1. M1: dfrac750 as 1, 4, 9, 16, 25, 36 and 49 are the square numbers
    2. A1: dfrac750 in the simplest form
    Answer: dfrac750
    Fair Objects
    [2 marks]

  2. Question 2. Zara says that the line y = 2x + 5 is steeper than the line y = 3x + 1.
    Is Zara correct?
    You must give a reason for your answer.

    Show worked answerHide worked answer
    1. M1: the gradients 2 and 3 identified
    2. A1: no, because 3 > 2
    Answer: No. The gradient of y = 3x + 1 is 3, which is greater than the gradient 2 of y = 2x + 5, so y = 3x + 1 is steeper.
    Sketching Straight Lines Using y = mx + c
    [2 marks]

  3. Question 3. Work out the missing fraction.
    dfrac78 - square = dfrac14
    Give your answer as a fraction in its simplest form.

    Show worked answerHide worked answer
    1. M1: square = dfrac78-dfrac28
    2. M1: 7 - 2 = 5
    3. A1: dfrac58
    Answer: dfrac58
    Subtracting Fractions
    [3 marks]

  4. Question 4. Change a speed of 54 kilometres per hour to metres per second.

    Show worked answerHide worked answer
    1. M1: 54 × 1000 ÷ 3600
    2. A1: 15
    Answer: 15 m/s
    Converting Compound Measures
    [2 marks]

  5. Question 5. The volume of the cone is 210 cm³. Work out the height, h cm, of the cone.
    Give your answer to 1 decimal place.

    Show worked answerHide worked answer
    1. M1: 1/3 × π × 4² × h = 210
    2. M1: h = 3 × 210 ÷ (π × 4²)
    3. A1: 12.5
    Answer: 12.5
    Volume of Cones
    h cm4 cm
    [3 marks]
📅 Free lesson: Tue 17th NovSave your place →

Mixed Topic Worksheet Grades 4/5: Day 094

Grades 4/5Calculator

  1. Question 1. Fifty cards are numbered 1 to 50.
    The cards are fair, face down and identical.
    One card is taken at random.
    Work out the probability that the number on the card is a square number.

    [2 marks]
    Show worked answerHide worked answer
    1. M1: dfrac750 as 1, 4, 9, 16, 25, 36 and 49 are the square numbers
    2. A1: dfrac750 in the simplest form
    Answer: dfrac750
    Fair Objects

  2. Question 2. Zara says that the line y = 2x + 5 is steeper than the line y = 3x + 1.
    Is Zara correct?
    You must give a reason for your answer.

    [2 marks]
    Show worked answerHide worked answer
    1. M1: the gradients 2 and 3 identified
    2. A1: no, because 3 > 2
    Answer: No. The gradient of y = 3x + 1 is 3, which is greater than the gradient 2 of y = 2x + 5, so y = 3x + 1 is steeper.
    Sketching Straight Lines Using y = mx + c

  3. Question 3. Work out the missing fraction.
    dfrac78 - square = dfrac14
    Give your answer as a fraction in its simplest form.

    [3 marks]
    Show worked answerHide worked answer
    1. M1: square = dfrac78-dfrac28
    2. M1: 7 - 2 = 5
    3. A1: dfrac58
    Answer: dfrac58
    Subtracting Fractions

  4. Question 4. Change a speed of 54 kilometres per hour to metres per second.

    [2 marks]
    Show worked answerHide worked answer
    1. M1: 54 × 1000 ÷ 3600
    2. A1: 15
    Answer: 15 m/s
    Converting Compound Measures

  5. Question 5. The volume of the cone is 210 cm³. Work out the height, h cm, of the cone.
    Give your answer to 1 decimal place.

    [3 marks]
    h cm4 cm
    Show worked answerHide worked answer
    1. M1: 1/3 × π × 4² × h = 210
    2. M1: h = 3 × 210 ÷ (π × 4²)
    3. A1: 12.5
    Answer: 12.5
    Volume of Cones
📅 Free live lesson: Tuesday 17th NovemberSave your free place →

Mixed Topic Worksheet Grades 4/5: Day 094

Grades 4/5Calculator

  1. Question 1. Fifty cards are numbered 1 to 50.
    The cards are fair, face down and identical.
    One card is taken at random.
    Work out the probability that the number on the card is a square number.

    Show worked answerHide worked answer
    1. M1: dfrac750 as 1, 4, 9, 16, 25, 36 and 49 are the square numbers
    2. A1: dfrac750 in the simplest form
    Answer: dfrac750
    Fair Objects
    [2 marks]

  2. Question 2. Zara says that the line y = 2x + 5 is steeper than the line y = 3x + 1.
    Is Zara correct?
    You must give a reason for your answer.

    Show worked answerHide worked answer
    1. M1: the gradients 2 and 3 identified
    2. A1: no, because 3 > 2
    Answer: No. The gradient of y = 3x + 1 is 3, which is greater than the gradient 2 of y = 2x + 5, so y = 3x + 1 is steeper.
    Sketching Straight Lines Using y = mx + c
    [2 marks]

  3. Question 3. Work out the missing fraction.
    dfrac78 - square = dfrac14
    Give your answer as a fraction in its simplest form.

    Show worked answerHide worked answer
    1. M1: square = dfrac78-dfrac28
    2. M1: 7 - 2 = 5
    3. A1: dfrac58
    Answer: dfrac58
    Subtracting Fractions
    [3 marks]

  4. Question 4. Change a speed of 54 kilometres per hour to metres per second.

    Show worked answerHide worked answer
    1. M1: 54 × 1000 ÷ 3600
    2. A1: 15
    Answer: 15 m/s
    Converting Compound Measures
    [2 marks]

  5. Question 5. The volume of the cone is 210 cm³. Work out the height, h cm, of the cone.
    Give your answer to 1 decimal place.

    Show worked answerHide worked answer
    1. M1: 1/3 × π × 4² × h = 210
    2. M1: h = 3 × 210 ÷ (π × 4²)
    3. A1: 12.5
    Answer: 12.5
    Volume of Cones
    h cm4 cm
    [3 marks]