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

Mixed Topic Worksheet Grades 4/5: Day 005

Grades 4/5Non-calculator

  1. Question 1. Rhys wants to show -3 ≤ x < 2 on a number line. Which of the number lines, A or B, shows it? Give a reason for your answer.

    Show worked answerHide worked answer
    1. B1: B
    2. B1: closed circle at -3 and open circle at 2
    Answer: B. It has a closed circle at -3 and an open circle at 2
    Drawing Inequalities on Number Lines
    −4−2024xA−4−2024xB
    [2 marks]

  2. Question 2. A rectangle is 80 cm long and 50 cm wide.

    Work out the area of the rectangle in m².

    Show worked answerHide worked answer
    1. M1: 80 × 50 = 4000 cm²
    2. A1: 4000 ÷ 10 000 = 0.4
    Answer: 0.4 m²
    Area Conversions
    [2 marks]

  3. Question 3. Kai says that the line 2x + 3y = 12 crosses the y-axis at (0, 12).
    Is Kai correct?
    You must give a reason for your answer.

    Show worked answerHide worked answer
    1. M1: puts x = 0 to get 3y = 12
    2. A1: no, the line crosses at (0, 4)
    Answer: No. When x = 0, 3y = 12, so y = 4 and the line crosses the y-axis at (0, 4).
    Identifying the x- & y-Intercepts of a Straight Line
    [2 marks]

  4. Question 4. The diagram shows a shape. All the angles are right angles.
    Work out the length of the side marked x.

    Show worked answerHide worked answer
    1. M1: 20 - 2 - 2
    2. A1: 16
    Answer: 16 cm
    Finding Side Lengths of Compound Shapes
    20 cm12 cm2 cm7 cmx2 cmNot drawn accurately
    [2 marks]

  5. Question 5. A hall has 59 rows of chairs.
    There are 31 chairs in each row.
    Work out an estimate for the total number of chairs in the hall.

    Show worked answerHide worked answer
    1. M1: 59 rounded to 60 or 31 rounded to 30
    2. M1: 60 × 30
    3. A1: 1 800
    Answer: 1 800
    Applied Estimating
    [3 marks]
📅 Free lesson: Tue 17th NovSave your place →

Mixed Topic Worksheet Grades 4/5: Day 005

Grades 4/5Non-calculator

  1. Question 1. Rhys wants to show -3 ≤ x < 2 on a number line. Which of the number lines, A or B, shows it? Give a reason for your answer.

    [2 marks]
    −4−2024xA−4−2024xB
    Show worked answerHide worked answer
    1. B1: B
    2. B1: closed circle at -3 and open circle at 2
    Answer: B. It has a closed circle at -3 and an open circle at 2
    Drawing Inequalities on Number Lines

  2. Question 2. A rectangle is 80 cm long and 50 cm wide.

    Work out the area of the rectangle in m².

    [2 marks]
    Show worked answerHide worked answer
    1. M1: 80 × 50 = 4000 cm²
    2. A1: 4000 ÷ 10 000 = 0.4
    Answer: 0.4 m²
    Area Conversions

  3. Question 3. Kai says that the line 2x + 3y = 12 crosses the y-axis at (0, 12).
    Is Kai correct?
    You must give a reason for your answer.

    [2 marks]
    Show worked answerHide worked answer
    1. M1: puts x = 0 to get 3y = 12
    2. A1: no, the line crosses at (0, 4)
    Answer: No. When x = 0, 3y = 12, so y = 4 and the line crosses the y-axis at (0, 4).
    Identifying the x- & y-Intercepts of a Straight Line

  4. Question 4. The diagram shows a shape. All the angles are right angles.
    Work out the length of the side marked x.

    [2 marks]
    20 cm12 cm2 cm7 cmx2 cmNot drawn accurately
    Show worked answerHide worked answer
    1. M1: 20 - 2 - 2
    2. A1: 16
    Answer: 16 cm
    Finding Side Lengths of Compound Shapes

  5. Question 5. A hall has 59 rows of chairs.
    There are 31 chairs in each row.
    Work out an estimate for the total number of chairs in the hall.

    [3 marks]
    Show worked answerHide worked answer
    1. M1: 59 rounded to 60 or 31 rounded to 30
    2. M1: 60 × 30
    3. A1: 1 800
    Answer: 1 800
    Applied Estimating
📅 Free live lesson: Tuesday 17th NovemberSave your free place →

Mixed Topic Worksheet Grades 4/5: Day 005

Grades 4/5Non-calculator

  1. Question 1. Rhys wants to show -3 ≤ x < 2 on a number line. Which of the number lines, A or B, shows it? Give a reason for your answer.

    Show worked answerHide worked answer
    1. B1: B
    2. B1: closed circle at -3 and open circle at 2
    Answer: B. It has a closed circle at -3 and an open circle at 2
    Drawing Inequalities on Number Lines
    −4−2024xA−4−2024xB
    [2 marks]

  2. Question 2. A rectangle is 80 cm long and 50 cm wide.

    Work out the area of the rectangle in m².

    Show worked answerHide worked answer
    1. M1: 80 × 50 = 4000 cm²
    2. A1: 4000 ÷ 10 000 = 0.4
    Answer: 0.4 m²
    Area Conversions
    [2 marks]

  3. Question 3. Kai says that the line 2x + 3y = 12 crosses the y-axis at (0, 12).
    Is Kai correct?
    You must give a reason for your answer.

    Show worked answerHide worked answer
    1. M1: puts x = 0 to get 3y = 12
    2. A1: no, the line crosses at (0, 4)
    Answer: No. When x = 0, 3y = 12, so y = 4 and the line crosses the y-axis at (0, 4).
    Identifying the x- & y-Intercepts of a Straight Line
    [2 marks]

  4. Question 4. The diagram shows a shape. All the angles are right angles.
    Work out the length of the side marked x.

    Show worked answerHide worked answer
    1. M1: 20 - 2 - 2
    2. A1: 16
    Answer: 16 cm
    Finding Side Lengths of Compound Shapes
    20 cm12 cm2 cm7 cmx2 cmNot drawn accurately
    [2 marks]

  5. Question 5. A hall has 59 rows of chairs.
    There are 31 chairs in each row.
    Work out an estimate for the total number of chairs in the hall.

    Show worked answerHide worked answer
    1. M1: 59 rounded to 60 or 31 rounded to 30
    2. M1: 60 × 30
    3. A1: 1 800
    Answer: 1 800
    Applied Estimating
    [3 marks]