Lesson Worksheet: Angles Eleven Plus

In this worksheet, we will practice solving various angle problems by using properties of lines, polygons, and circles.

Q1:

These four angles fit together to make a full turn.

Look at this angle.

How many of these 45 angles fit together to make a full turn?

  • A6
  • B2
  • C4
  • D8
  • E12

Q2:

These three angles fit together to make a straight line.

Look at this angle.

How many angles of 36 fit together to make a straight line?

  • A6
  • B4
  • C3
  • D7
  • E5

Q3:

Look at the two regular pentagons.

If pentagon 2 was rotated about point 𝐴 until point 𝐶 was at point 𝐵, how much was it rotated?

  • A48
  • B54
  • C24
  • D72
  • E36

Q4:

Put the angles 𝐴, 𝐵, and 𝐶 in order from largest to smallest.

  • A𝐵𝐶𝐴
  • B𝐴𝐶𝐵
  • C𝐶𝐵𝐴
  • D𝐵𝐴𝐶
  • E𝐴𝐵𝐶

Q5:

What is the size of angle 𝑋?

  • A142
  • B63
  • C79
  • D90
  • E38

Q6:

What do the angles inside this shape add up to?

  • A1800
  • B1260
  • C720
  • D450
  • E900

Q7:

Which of the following is true of angle 𝑥?

  • AAngle 𝑥 is less than 90.
  • BAngle 𝑥 is between 90 and 180.
  • CAngle 𝑥 is a right angle.
  • DAngle 𝑥 is 180.
  • EAngle 𝑥 is greater than 180.

Q8:

Look at this angle.

Select the true statement.

  • A𝑎 is a right angle.
  • B𝑎 is equal to 180.
  • C𝑎 is less than 90.
  • D𝑎 is more than 180.
  • E𝑎 is between 90 and 180.

Q9:

Which angle is approximately equal to 120?

  • A𝐶
  • B𝐵
  • C𝐷
  • D𝐴
  • E𝐸

Q10:

Which of the following is true of angle 𝑥?

  • AAngle 𝑥 is greater than 180.
  • BAngle 𝑥 is less than 90.
  • CAngle 𝑥 is 180.
  • DAngle 𝑥 is between 90 and 180.
  • EAngle 𝑥 is a right angle.

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