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

Mixed Topic Worksheet Grades 1/2/3: Day 023

Grades 1/2/3Non-calculator
  1. Question 1. The diagram shows four lines that meet at O.
    Work out the size of angle AOD.

    Show worked answerHide worked answer
    1. M1: angle AOD = angle AOB + angle BOC + angle COD = 35 + 28 + 42
    2. A1: 105^°
    Answer: 105^°
    Angle Notation
    35°28°42°OABCD
    [2 marks]
  2. Question 2. The diagram shows a straight line.
    Work out the size of angle x.

    Show worked answerHide worked answer
    1. M1: 180 - 75 - 40 (angles on a straight line add up to 180^°)
    2. A1: 65^°
    Answer: 65^°
    Angles on a Straight Line
    x75°40°
    [2 marks]
  3. Question 3. A triangle has two equal angles of 67^°. Work out the size of the third angle of the triangle.

    Show worked answerHide worked answer
    1. M1: 180 - 67 - 67 (the angles in a triangle add up to 180^°)
    2. A1: 46
    Answer: 46°
    Triangle Angle & Side Facts
    [2 marks]
  4. Question 4. Two buses leave a bus station at the same time.
    One bus leaves every 10 minutes.
    The other bus leaves every 25 minutes.
    Work out how many minutes later the two buses next leave the bus station at the same time.

    Show worked answerHide worked answer
    1. M1: multiples of 10 and of 25, or the LCM of 10 and 25
    2. A1: 50
    Answer: 50
    Finding the Lowest Common Multiple
    [2 marks]
  5. Question 5. Mia thinks of a number.
    She adds 6, then divides by 3.
    Her answer is 8.
    What number did Mia start with?

    Show worked answerHide worked answer
    1. M1: 8 x 3 = 24
    2. A1: 24 - 6 = 18
    Answer: 18
    Fundamentals of Solving Equations
    [2 marks]
📅 Free lesson: Tue 17th NovSave your place →

Mixed Topic Worksheet Grades 1/2/3: Day 023

Grades 1/2/3Non-calculator
  1. Question 1. The diagram shows four lines that meet at O.
    Work out the size of angle AOD.

    [2 marks]
    35°28°42°OABCD
    Show worked answerHide worked answer
    1. M1: angle AOD = angle AOB + angle BOC + angle COD = 35 + 28 + 42
    2. A1: 105^°
    Answer: 105^°
    Angle Notation
  2. Question 2. The diagram shows a straight line.
    Work out the size of angle x.

    [2 marks]
    x75°40°
    Show worked answerHide worked answer
    1. M1: 180 - 75 - 40 (angles on a straight line add up to 180^°)
    2. A1: 65^°
    Answer: 65^°
    Angles on a Straight Line
  3. Question 3. A triangle has two equal angles of 67^°. Work out the size of the third angle of the triangle.

    [2 marks]
    Show worked answerHide worked answer
    1. M1: 180 - 67 - 67 (the angles in a triangle add up to 180^°)
    2. A1: 46
    Answer: 46°
    Triangle Angle & Side Facts
  4. Question 4. Two buses leave a bus station at the same time.
    One bus leaves every 10 minutes.
    The other bus leaves every 25 minutes.
    Work out how many minutes later the two buses next leave the bus station at the same time.

    [2 marks]
    Show worked answerHide worked answer
    1. M1: multiples of 10 and of 25, or the LCM of 10 and 25
    2. A1: 50
    Answer: 50
    Finding the Lowest Common Multiple
  5. Question 5. Mia thinks of a number.
    She adds 6, then divides by 3.
    Her answer is 8.
    What number did Mia start with?

    [2 marks]
    Show worked answerHide worked answer
    1. M1: 8 x 3 = 24
    2. A1: 24 - 6 = 18
    Answer: 18
    Fundamentals of Solving Equations
📅 Free live lesson: Tuesday 17th NovemberSave your free place →

Mixed Topic Worksheet Grades 1/2/3: Day 023

Grades 1/2/3Non-calculator
  1. Question 1. The diagram shows four lines that meet at O.
    Work out the size of angle AOD.

    Show worked answerHide worked answer
    1. M1: angle AOD = angle AOB + angle BOC + angle COD = 35 + 28 + 42
    2. A1: 105^°
    Answer: 105^°
    Angle Notation
    35°28°42°OABCD
    [2 marks]
  2. Question 2. The diagram shows a straight line.
    Work out the size of angle x.

    Show worked answerHide worked answer
    1. M1: 180 - 75 - 40 (angles on a straight line add up to 180^°)
    2. A1: 65^°
    Answer: 65^°
    Angles on a Straight Line
    x75°40°
    [2 marks]
  3. Question 3. A triangle has two equal angles of 67^°. Work out the size of the third angle of the triangle.

    Show worked answerHide worked answer
    1. M1: 180 - 67 - 67 (the angles in a triangle add up to 180^°)
    2. A1: 46
    Answer: 46°
    Triangle Angle & Side Facts
    [2 marks]
  4. Question 4. Two buses leave a bus station at the same time.
    One bus leaves every 10 minutes.
    The other bus leaves every 25 minutes.
    Work out how many minutes later the two buses next leave the bus station at the same time.

    Show worked answerHide worked answer
    1. M1: multiples of 10 and of 25, or the LCM of 10 and 25
    2. A1: 50
    Answer: 50
    Finding the Lowest Common Multiple
    [2 marks]
  5. Question 5. Mia thinks of a number.
    She adds 6, then divides by 3.
    Her answer is 8.
    What number did Mia start with?

    Show worked answerHide worked answer
    1. M1: 8 x 3 = 24
    2. A1: 24 - 6 = 18
    Answer: 18
    Fundamentals of Solving Equations
    [2 marks]