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

Mixed Topic Worksheet Grades 4/5: Day 023

Grades 4/5Non-calculator

  1. Question 1. b is an integer. The integers n that satisfy -3 ≤ n < b are -3, -2, -1 and 0. Write down the value of b.

    Show worked answerHide worked answer
    1. M1: the largest value is 0 and n < b includes 0
    2. A1: b = 1
    Answer: 1
    Fundamentals of Inequalities
    [2 marks]

  2. Question 2. Pens cost £0.45 each.
    Jo spends £3.60 on pens.

    Work out the number of pens she buys.

    Show worked answerHide worked answer
    1. M1: 3.60 ÷ 0.45
    2. A1: 8
    Answer: 8
    Like-for-Like Comparisons
    [2 marks]

  3. Question 3. Here is a line PQ.
    Draw the locus of all the points that are 1.5 cm from the line PQ.

    Show worked answerHide worked answer
    1. M1: two lines parallel to PQ, one on each side, 1.5 cm from it
    2. A1: a semicircle of radius 1.5 cm at each end, centres P and Q, joining the lines
    PQ
    Answer: Two lines the length of PQ, 1.5 cm either side of it, joined by a semicircle of radius 1.5 cm at each end
    Drawing a Locus of All Points
    PQ
    [2 marks]

  4. Question 4. The graph shows a cycle ride that includes a rest.
    Work out the average speed for the whole ride, including the rest.

    Show worked answerHide worked answer
    1. M1: 60 ÷ 4
    2. A1: 15
    Answer: 15 km/h
    Calculating Average Speed Using Distance-Time Graphs
    Time (hours)Distance (km)020406001234
    [2 marks]

  5. Question 5. Last year, 1300 people visited a garden. This number is correct to the nearest 100.
    This year, 1520 people visited. This number is correct to the nearest 10.
    Both numbers are whole numbers.
    Work out the least possible increase in the number of visitors.

    Show worked answerHide worked answer
    1. M1: 1520 - 5 and 1300 + 50, taking the whole number below
    2. M1: 1515 - 1349
    3. A1: 166
    Answer: 166
    Bounds Requiring Integer Values
    [3 marks]
📅 Free lesson: Tue 17th NovSave your place →

Mixed Topic Worksheet Grades 4/5: Day 023

Grades 4/5Non-calculator

  1. Question 1. b is an integer. The integers n that satisfy -3 ≤ n < b are -3, -2, -1 and 0. Write down the value of b.

    [2 marks]
    Show worked answerHide worked answer
    1. M1: the largest value is 0 and n < b includes 0
    2. A1: b = 1
    Answer: 1
    Fundamentals of Inequalities

  2. Question 2. Pens cost £0.45 each.
    Jo spends £3.60 on pens.

    Work out the number of pens she buys.

    [2 marks]
    Show worked answerHide worked answer
    1. M1: 3.60 ÷ 0.45
    2. A1: 8
    Answer: 8
    Like-for-Like Comparisons

  3. Question 3. Here is a line PQ.
    Draw the locus of all the points that are 1.5 cm from the line PQ.

    [2 marks]
    PQ
    Show worked answerHide worked answer
    1. M1: two lines parallel to PQ, one on each side, 1.5 cm from it
    2. A1: a semicircle of radius 1.5 cm at each end, centres P and Q, joining the lines
    PQ
    Answer: Two lines the length of PQ, 1.5 cm either side of it, joined by a semicircle of radius 1.5 cm at each end
    Drawing a Locus of All Points

  4. Question 4. The graph shows a cycle ride that includes a rest.
    Work out the average speed for the whole ride, including the rest.

    [2 marks]
    Time (hours)Distance (km)020406001234
    Show worked answerHide worked answer
    1. M1: 60 ÷ 4
    2. A1: 15
    Answer: 15 km/h
    Calculating Average Speed Using Distance-Time Graphs

  5. Question 5. Last year, 1300 people visited a garden. This number is correct to the nearest 100.
    This year, 1520 people visited. This number is correct to the nearest 10.
    Both numbers are whole numbers.
    Work out the least possible increase in the number of visitors.

    [3 marks]
    Show worked answerHide worked answer
    1. M1: 1520 - 5 and 1300 + 50, taking the whole number below
    2. M1: 1515 - 1349
    3. A1: 166
    Answer: 166
    Bounds Requiring Integer Values
📅 Free live lesson: Tuesday 17th NovemberSave your free place →

Mixed Topic Worksheet Grades 4/5: Day 023

Grades 4/5Non-calculator

  1. Question 1. b is an integer. The integers n that satisfy -3 ≤ n < b are -3, -2, -1 and 0. Write down the value of b.

    Show worked answerHide worked answer
    1. M1: the largest value is 0 and n < b includes 0
    2. A1: b = 1
    Answer: 1
    Fundamentals of Inequalities
    [2 marks]

  2. Question 2. Pens cost £0.45 each.
    Jo spends £3.60 on pens.

    Work out the number of pens she buys.

    Show worked answerHide worked answer
    1. M1: 3.60 ÷ 0.45
    2. A1: 8
    Answer: 8
    Like-for-Like Comparisons
    [2 marks]

  3. Question 3. Here is a line PQ.
    Draw the locus of all the points that are 1.5 cm from the line PQ.

    Show worked answerHide worked answer
    1. M1: two lines parallel to PQ, one on each side, 1.5 cm from it
    2. A1: a semicircle of radius 1.5 cm at each end, centres P and Q, joining the lines
    PQ
    Answer: Two lines the length of PQ, 1.5 cm either side of it, joined by a semicircle of radius 1.5 cm at each end
    Drawing a Locus of All Points
    PQ
    [2 marks]

  4. Question 4. The graph shows a cycle ride that includes a rest.
    Work out the average speed for the whole ride, including the rest.

    Show worked answerHide worked answer
    1. M1: 60 ÷ 4
    2. A1: 15
    Answer: 15 km/h
    Calculating Average Speed Using Distance-Time Graphs
    Time (hours)Distance (km)020406001234
    [2 marks]

  5. Question 5. Last year, 1300 people visited a garden. This number is correct to the nearest 100.
    This year, 1520 people visited. This number is correct to the nearest 10.
    Both numbers are whole numbers.
    Work out the least possible increase in the number of visitors.

    Show worked answerHide worked answer
    1. M1: 1520 - 5 and 1300 + 50, taking the whole number below
    2. M1: 1515 - 1349
    3. A1: 166
    Answer: 166
    Bounds Requiring Integer Values
    [3 marks]