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

Mixed Topic Worksheet Grades 4/5: Day 083

Grades 4/5Non-calculator

  1. Question 1. n is an integer. 2 < n ≤ 6. Work out the sum of all the possible values of n.

    Show worked answerHide worked answer
    1. M1: the possible values are 3, 4, 5, 6
    2. A1: 3 + 4 + 5 + 6 = 18
    Answer: 18
    Fundamentals of Inequalities
    [2 marks]

  2. Question 2. Use ruler and compasses to construct the perpendicular from P to the line AB.
    You must show all your construction lines.

    Show worked answerHide worked answer
    1. M1: an arc centred on P cutting AB twice, then two equal arcs from these points crossing on the other side of AB
    2. A1: a line from P through the crossing point, meeting AB at right angles
    ABP
    Answer: The perpendicular from P to AB, with construction arcs
    Drawing a Perpendicular Line from a Point
    ABP
    [2 marks]

  3. Question 3. Work out an estimate for 4.8 + 6.1 by rounding each number to the nearest whole number.

    Show worked answerHide worked answer
    1. M1: rounds each number to the nearest whole number: 5 and 6
    2. A1: 11
    Answer: 11
    Estimating Calculations
    [2 marks]

  4. Question 4. xi=1, 2, 3, ldots, 10, A=x : x>6 and B=x : x is an even number. List the members of A cap B.

    Show worked answerHide worked answer
    1. M1: A=7, 8, 9, 10 and B=2, 4, 6, 8, 10
    2. A1: 8, 10
    Answer: 8, 10
    Fundamentals of Set Notation
    [2 marks]

  5. Question 5. A straight line has equation y = 3x + c.
    The line passes through the point (0, 5) and the point (k, 14).
    Work out the value of k.

    Show worked answerHide worked answer
    1. M1: c = 5
    2. M1: 14 = 3k + 5
    3. A1: k = 3
    Answer: 3
    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 083

Grades 4/5Non-calculator

  1. Question 1. n is an integer. 2 < n ≤ 6. Work out the sum of all the possible values of n.

    [2 marks]
    Show worked answerHide worked answer
    1. M1: the possible values are 3, 4, 5, 6
    2. A1: 3 + 4 + 5 + 6 = 18
    Answer: 18
    Fundamentals of Inequalities

  2. Question 2. Use ruler and compasses to construct the perpendicular from P to the line AB.
    You must show all your construction lines.

    [2 marks]
    ABP
    Show worked answerHide worked answer
    1. M1: an arc centred on P cutting AB twice, then two equal arcs from these points crossing on the other side of AB
    2. A1: a line from P through the crossing point, meeting AB at right angles
    ABP
    Answer: The perpendicular from P to AB, with construction arcs
    Drawing a Perpendicular Line from a Point

  3. Question 3. Work out an estimate for 4.8 + 6.1 by rounding each number to the nearest whole number.

    [2 marks]
    Show worked answerHide worked answer
    1. M1: rounds each number to the nearest whole number: 5 and 6
    2. A1: 11
    Answer: 11
    Estimating Calculations

  4. Question 4. xi=1, 2, 3, ldots, 10, A=x : x>6 and B=x : x is an even number. List the members of A cap B.

    [2 marks]
    Show worked answerHide worked answer
    1. M1: A=7, 8, 9, 10 and B=2, 4, 6, 8, 10
    2. A1: 8, 10
    Answer: 8, 10
    Fundamentals of Set Notation

  5. Question 5. A straight line has equation y = 3x + c.
    The line passes through the point (0, 5) and the point (k, 14).
    Work out the value of k.

    [3 marks]
    Show worked answerHide worked answer
    1. M1: c = 5
    2. M1: 14 = 3k + 5
    3. A1: k = 3
    Answer: 3
    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 083

Grades 4/5Non-calculator

  1. Question 1. n is an integer. 2 < n ≤ 6. Work out the sum of all the possible values of n.

    Show worked answerHide worked answer
    1. M1: the possible values are 3, 4, 5, 6
    2. A1: 3 + 4 + 5 + 6 = 18
    Answer: 18
    Fundamentals of Inequalities
    [2 marks]

  2. Question 2. Use ruler and compasses to construct the perpendicular from P to the line AB.
    You must show all your construction lines.

    Show worked answerHide worked answer
    1. M1: an arc centred on P cutting AB twice, then two equal arcs from these points crossing on the other side of AB
    2. A1: a line from P through the crossing point, meeting AB at right angles
    ABP
    Answer: The perpendicular from P to AB, with construction arcs
    Drawing a Perpendicular Line from a Point
    ABP
    [2 marks]

  3. Question 3. Work out an estimate for 4.8 + 6.1 by rounding each number to the nearest whole number.

    Show worked answerHide worked answer
    1. M1: rounds each number to the nearest whole number: 5 and 6
    2. A1: 11
    Answer: 11
    Estimating Calculations
    [2 marks]

  4. Question 4. xi=1, 2, 3, ldots, 10, A=x : x>6 and B=x : x is an even number. List the members of A cap B.

    Show worked answerHide worked answer
    1. M1: A=7, 8, 9, 10 and B=2, 4, 6, 8, 10
    2. A1: 8, 10
    Answer: 8, 10
    Fundamentals of Set Notation
    [2 marks]

  5. Question 5. A straight line has equation y = 3x + c.
    The line passes through the point (0, 5) and the point (k, 14).
    Work out the value of k.

    Show worked answerHide worked answer
    1. M1: c = 5
    2. M1: 14 = 3k + 5
    3. A1: k = 3
    Answer: 3
    Equations of a Straight Line with a Point & a Gradient
    [3 marks]