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

Mixed Topic Worksheet Grades 1/2/3: Day 051

Grades 1/2/3Non-calculator
  1. Question 1. A prism has 5 faces altogether.
    Two of the faces are the identical ends of the prism.
    Work out the number of sides of each end.

    Show worked answerHide worked answer
    1. M1: 5 - 2 = 3 rectangular faces, one for each side of an end
    2. A1: 3
    Answer: 3
    Faces, Edges & Vertices
    [2 marks]
  2. Question 2. The diagram shows triangle XYZ. Write down the name of the angle at vertex Z using three letters.

    Show worked answerHide worked answer
    1. B1: angle XZY (or YZX)
    Answer: XZY
    Triangle Angle & Side Naming Conventions
    XYZ
    [1 mark]
  3. Question 3. Ravi truncates 3.708 to 2 decimal places.
    He writes 3.71.
    Ravi is wrong.
    Write down the correct answer.

    Show worked answerHide worked answer
    1. M1: remove the digit 8
    2. A1: 3.70
    Answer: 3.70
    Truncating Decimals
    [2 marks]
  4. Question 4. The graph is a conversion graph between pounds (£) and euros (€).
    (a) Convert £40 into euros. [1]
    (b) Convert €30 into pounds. [1]

    Show worked answerHide worked answer
    1. (a) B1: Read up from 40 on the pounds axis to the line and across to the euros axis: 48
    2. (b) B1: Read across from 30 on the euros axis to the line and down to the pounds axis: 25
    Answer: (a) 48; (b) 25
    Conversion Graphs
    Pounds (£)Euros (€)020406001020304050
    [2 marks]
  5. Question 5. ABCDE is a regular pentagon.
    The diagonal AC is drawn.
    Work out the size of angle x.

    Show worked answerHide worked answer
    1. M1: (5 - 2) × 180 ÷ 5 = 108 (the interior angles of a polygon with n sides add up to (n - 2) × 180^°)
    2. M1: (180 - 108) ÷ 2 (triangle ABC is isosceles because AB = BC)
    3. A1: 36
    Answer: 36
    Internal Angles in a Regular Polygon
    xABCDENot drawn accurately
    [3 marks]
📅 Free lesson: Tue 17th NovSave your place →

Mixed Topic Worksheet Grades 1/2/3: Day 051

Grades 1/2/3Non-calculator
  1. Question 1. A prism has 5 faces altogether.
    Two of the faces are the identical ends of the prism.
    Work out the number of sides of each end.

    [2 marks]
    Show worked answerHide worked answer
    1. M1: 5 - 2 = 3 rectangular faces, one for each side of an end
    2. A1: 3
    Answer: 3
    Faces, Edges & Vertices
  2. Question 2. The diagram shows triangle XYZ. Write down the name of the angle at vertex Z using three letters.

    [1 mark]
    XYZ
    Show worked answerHide worked answer
    1. B1: angle XZY (or YZX)
    Answer: XZY
    Triangle Angle & Side Naming Conventions
  3. Question 3. Ravi truncates 3.708 to 2 decimal places.
    He writes 3.71.
    Ravi is wrong.
    Write down the correct answer.

    [2 marks]
    Show worked answerHide worked answer
    1. M1: remove the digit 8
    2. A1: 3.70
    Answer: 3.70
    Truncating Decimals
  4. Question 4. The graph is a conversion graph between pounds (£) and euros (€).
    (a) Convert £40 into euros. [1]
    (b) Convert €30 into pounds. [1]

    [2 marks]
    Pounds (£)Euros (€)020406001020304050
    Show worked answerHide worked answer
    1. (a) B1: Read up from 40 on the pounds axis to the line and across to the euros axis: 48
    2. (b) B1: Read across from 30 on the euros axis to the line and down to the pounds axis: 25
    Answer: (a) 48; (b) 25
    Conversion Graphs
  5. Question 5. ABCDE is a regular pentagon.
    The diagonal AC is drawn.
    Work out the size of angle x.

    [3 marks]
    xABCDENot drawn accurately
    Show worked answerHide worked answer
    1. M1: (5 - 2) × 180 ÷ 5 = 108 (the interior angles of a polygon with n sides add up to (n - 2) × 180^°)
    2. M1: (180 - 108) ÷ 2 (triangle ABC is isosceles because AB = BC)
    3. A1: 36
    Answer: 36
    Internal Angles in a Regular Polygon
📅 Free live lesson: Tuesday 17th NovemberSave your free place →

Mixed Topic Worksheet Grades 1/2/3: Day 051

Grades 1/2/3Non-calculator
  1. Question 1. A prism has 5 faces altogether.
    Two of the faces are the identical ends of the prism.
    Work out the number of sides of each end.

    Show worked answerHide worked answer
    1. M1: 5 - 2 = 3 rectangular faces, one for each side of an end
    2. A1: 3
    Answer: 3
    Faces, Edges & Vertices
    [2 marks]
  2. Question 2. The diagram shows triangle XYZ. Write down the name of the angle at vertex Z using three letters.

    Show worked answerHide worked answer
    1. B1: angle XZY (or YZX)
    Answer: XZY
    Triangle Angle & Side Naming Conventions
    XYZ
    [1 mark]
  3. Question 3. Ravi truncates 3.708 to 2 decimal places.
    He writes 3.71.
    Ravi is wrong.
    Write down the correct answer.

    Show worked answerHide worked answer
    1. M1: remove the digit 8
    2. A1: 3.70
    Answer: 3.70
    Truncating Decimals
    [2 marks]
  4. Question 4. The graph is a conversion graph between pounds (£) and euros (€).
    (a) Convert £40 into euros. [1]
    (b) Convert €30 into pounds. [1]

    Show worked answerHide worked answer
    1. (a) B1: Read up from 40 on the pounds axis to the line and across to the euros axis: 48
    2. (b) B1: Read across from 30 on the euros axis to the line and down to the pounds axis: 25
    Answer: (a) 48; (b) 25
    Conversion Graphs
    Pounds (£)Euros (€)020406001020304050
    [2 marks]
  5. Question 5. ABCDE is a regular pentagon.
    The diagonal AC is drawn.
    Work out the size of angle x.

    Show worked answerHide worked answer
    1. M1: (5 - 2) × 180 ÷ 5 = 108 (the interior angles of a polygon with n sides add up to (n - 2) × 180^°)
    2. M1: (180 - 108) ÷ 2 (triangle ABC is isosceles because AB = BC)
    3. A1: 36
    Answer: 36
    Internal Angles in a Regular Polygon
    xABCDENot drawn accurately
    [3 marks]