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

Mixed Topic Worksheet Grades 4/5: Day 088

Grades 4/5Calculator

  1. Question 1. A bag costs £28.
    In a sale the price is reduced by 25%.

    Work out the sale price of the bag.

    Show worked answerHide worked answer
    1. M1: 28 ÷ 4 = 7 (25% of £28)
    2. M1: 28 - 7
    3. A1: £21
    Answer: £21
    Calculating Price Changes
    [3 marks]

  2. Question 2. Line mathbfP has equation y = x - 6
    Line mathbfQ has equation y = 3x - 9
    Which line crosses the x-axis at the greater value of x?
    You must show your working.

    Show worked answerHide worked answer
    1. M1: x = 6 for mathbfP and x = 3 for mathbfQ
    2. A1: line mathbfP
    Answer: Line mathbfP: it crosses at (6, 0) and mathbfQ crosses at (3, 0).
    Identifying the x- & y-Intercepts of a Straight Line
    [2 marks]

  3. Question 3. Are x⁸ ÷ x³ and x² × x³ equal? You must show your working.

    Show worked answerHide worked answer
    1. M1: x⁸ ÷ x³ = x⁵
    2. A1: x² × x³ = x⁵, so they are equal
    Answer: Yes. Both simplify to x⁵
    Simplifying Powers
    [2 marks]

  4. Question 4. The diagram shows a quarter circle with a radius of 8 cm.
    Work out the area of the quarter circle.
    Give your answer to 1 decimal place.

    Show worked answerHide worked answer
    1. M1: 1/4 × π × 8²
    2. A1: 50.3
    Answer: 50.3
    Area of a Circle Sector
    8 cm
    [2 marks]

  5. Question 5. The table shows information about the club chosen by each of 40 pupils.
    Draw an accurate pie chart for this information. Label each sector.

    Show worked answerHide worked answer
    1. M1: 360 ÷ 40 = 9
    2. A1: at least two correct angles (126° and 108° or any two)
    3. A1: all angles correct, sectors labelled, pie chart drawn to within 2°
    Chess126°Art108°Drama81°Music 45°
    Answer: Sectors: Chess 126°; Art 108°; Drama 81°; Music 45°
    Drawing Pie Charts
    ClubFrequencyChess14Art12Drama9Music5
    [3 marks]
📅 Free lesson: Tue 17th NovSave your place →

Mixed Topic Worksheet Grades 4/5: Day 088

Grades 4/5Calculator

  1. Question 1. A bag costs £28.
    In a sale the price is reduced by 25%.

    Work out the sale price of the bag.

    [3 marks]
    Show worked answerHide worked answer
    1. M1: 28 ÷ 4 = 7 (25% of £28)
    2. M1: 28 - 7
    3. A1: £21
    Answer: £21
    Calculating Price Changes

  2. Question 2. Line mathbfP has equation y = x - 6
    Line mathbfQ has equation y = 3x - 9
    Which line crosses the x-axis at the greater value of x?
    You must show your working.

    [2 marks]
    Show worked answerHide worked answer
    1. M1: x = 6 for mathbfP and x = 3 for mathbfQ
    2. A1: line mathbfP
    Answer: Line mathbfP: it crosses at (6, 0) and mathbfQ crosses at (3, 0).
    Identifying the x- & y-Intercepts of a Straight Line

  3. Question 3. Are x⁸ ÷ x³ and x² × x³ equal? You must show your working.

    [2 marks]
    Show worked answerHide worked answer
    1. M1: x⁸ ÷ x³ = x⁵
    2. A1: x² × x³ = x⁵, so they are equal
    Answer: Yes. Both simplify to x⁵
    Simplifying Powers

  4. Question 4. The diagram shows a quarter circle with a radius of 8 cm.
    Work out the area of the quarter circle.
    Give your answer to 1 decimal place.

    [2 marks]
    8 cm
    Show worked answerHide worked answer
    1. M1: 1/4 × π × 8²
    2. A1: 50.3
    Answer: 50.3
    Area of a Circle Sector

  5. Question 5. The table shows information about the club chosen by each of 40 pupils.
    Draw an accurate pie chart for this information. Label each sector.

    [3 marks]
    ClubFrequencyChess14Art12Drama9Music5
    Show worked answerHide worked answer
    1. M1: 360 ÷ 40 = 9
    2. A1: at least two correct angles (126° and 108° or any two)
    3. A1: all angles correct, sectors labelled, pie chart drawn to within 2°
    Chess126°Art108°Drama81°Music 45°
    Answer: Sectors: Chess 126°; Art 108°; Drama 81°; Music 45°
    Drawing Pie Charts
📅 Free live lesson: Tuesday 17th NovemberSave your free place →

Mixed Topic Worksheet Grades 4/5: Day 088

Grades 4/5Calculator

  1. Question 1. A bag costs £28.
    In a sale the price is reduced by 25%.

    Work out the sale price of the bag.

    Show worked answerHide worked answer
    1. M1: 28 ÷ 4 = 7 (25% of £28)
    2. M1: 28 - 7
    3. A1: £21
    Answer: £21
    Calculating Price Changes
    [3 marks]

  2. Question 2. Line mathbfP has equation y = x - 6
    Line mathbfQ has equation y = 3x - 9
    Which line crosses the x-axis at the greater value of x?
    You must show your working.

    Show worked answerHide worked answer
    1. M1: x = 6 for mathbfP and x = 3 for mathbfQ
    2. A1: line mathbfP
    Answer: Line mathbfP: it crosses at (6, 0) and mathbfQ crosses at (3, 0).
    Identifying the x- & y-Intercepts of a Straight Line
    [2 marks]

  3. Question 3. Are x⁸ ÷ x³ and x² × x³ equal? You must show your working.

    Show worked answerHide worked answer
    1. M1: x⁸ ÷ x³ = x⁵
    2. A1: x² × x³ = x⁵, so they are equal
    Answer: Yes. Both simplify to x⁵
    Simplifying Powers
    [2 marks]

  4. Question 4. The diagram shows a quarter circle with a radius of 8 cm.
    Work out the area of the quarter circle.
    Give your answer to 1 decimal place.

    Show worked answerHide worked answer
    1. M1: 1/4 × π × 8²
    2. A1: 50.3
    Answer: 50.3
    Area of a Circle Sector
    8 cm
    [2 marks]

  5. Question 5. The table shows information about the club chosen by each of 40 pupils.
    Draw an accurate pie chart for this information. Label each sector.

    Show worked answerHide worked answer
    1. M1: 360 ÷ 40 = 9
    2. A1: at least two correct angles (126° and 108° or any two)
    3. A1: all angles correct, sectors labelled, pie chart drawn to within 2°
    Chess126°Art108°Drama81°Music 45°
    Answer: Sectors: Chess 126°; Art 108°; Drama 81°; Music 45°
    Drawing Pie Charts
    ClubFrequencyChess14Art12Drama9Music5
    [3 marks]