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P5 Maths: Measuring and Estimating Angles (Paper 3 (challenge))
Tutor Prep Guide · Protractor readings, right, straight and full angles, complementary and supplementary angles, angles on a line and about a point, vertically opposite angles and estimating angles
P5 Maths: Measuring and Estimating Angles (Paper 3 (challenge))
Paper 3 (challenge): ten angle questions on protractor readings, right, straight and full angles, complementary and supplementary angles, with answers and one-line notes.
Direct answers Level: P5 maths; format: protractor readings, right, straight and full angles, complementary and supplementary angles, angles on a line and about a point, and estimating angles.
01 Paper details (check answers afterwards)
| Item | Detail |
|---|---|
| Questions | 10 |
| Suggested time | 20 |
| Difficulty mix | Foundation 3 · Intermediate 3 · Challenge 3 · Error redo 1 |
| Chapter | Chapter: P5 Maths: Measuring and Estimating Angles |
| Level | P5 |
02 Questions (10 items)
- FoundationAn angle and an angle of 17 degrees make a right angle. How many degrees is that angle?
- FoundationFour angles on a straight line are 30 degrees, x, 2x and 30 degrees in order. Find the angle 2x.
- FoundationFive equal angles meet at a point. How many degrees is each angle?
- IntermediateTwo angles adding up to 180 degrees are in the ratio 2 to 3. How many degrees is the larger angle?
- IntermediateThe hour hand turns 30 degrees each hour. What is the angle between the hands at four o clock exactly?
- IntermediateHow many degrees does the minute hand turn each minute?
- ChallengeAngle A and angle B add up to 90 degrees, and angle A is four times angle B. How many degrees is angle A?
- ChallengeThree angles on a straight line are x, 2x and 3x. How many degrees is the largest angle?
- ChallengeAt seven o clock exactly, what is the smaller angle between the two hands?
- Error redoA student used 180 degrees as the total for angles about a point. What is the correct total?
03 Answers and one-line notes
| # | Answer | One-line note |
|---|---|---|
| 1 | 73 degrees | 90 minus 17 is 73. |
| 2 | 80 degrees | 30 plus 30 is 60, leaving 120 for 3x, so x is 40 and 2x is 80 degrees. |
| 3 | 72 degrees | 360 divided by 5 is 72. |
| 4 | 108 degrees | Split 180 into five parts of 36 degrees each and take three parts, which gives 108 degrees. |
| 5 | 120 degrees | At four o clock the hour hand points at 4 and the minute hand at 12, four spaces apart, and 4 times 30 is 120 degrees. |
| 6 | 6 degrees | It makes one full turn of 360 degrees in 60 minutes, and 360 divided by 60 is 6 degrees. |
| 7 | 72 degrees | The two angles total 90 degrees, so each of five parts is 18 degrees and angle A takes four parts, which is 72 degrees. |
| 8 | 90 degrees | x plus 2x plus 3x is 6x, which equals 180, so x is 30 and the largest angle 3x is 90 degrees. |
| 9 | 150 degrees | At seven o clock the hands are seven spaces or 210 degrees apart, so the smaller angle is 360 minus 210, which is 150 degrees. |
| 10 | 360 degrees | Angles on a straight line total 180 degrees, but a full turn about a point is 360 degrees. |
04 What to do after marking
- After marking, redo only the wrong items and write down which step went wrong (formula, unit, or misread number).
- Repeat the same item two days later; move to the next paper only when both attempts are correct.
- Parents only need the answer and note columns; there is no need to explain every item.
Check the answers; for a wrong item, confirm whether the total is 180 or 360 degrees, then work it again.Tutor Registration →
Questions and answers are written originally by the TutorZone team and are not taken from any school, publisher or examination authority paper. Every value is checked by computer.