Year 3 angles and lines worksheet answers to download as PDF

These Year 3 angles and lines worksheet answers give a full worked solution to all 21 questions of the angles and lines worksheet. Try each question yourself first, then check your method step by step.

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Answer to Question 1
1. Quarter turn, clockwise.
2. Half turn, which is 2 quarter turns.
3. Three-quarter turn, which is 3 quarter turns.
4. Full turn, which is 4 quarter turns.
Answer to Question 2
1. This angle is a right angle.
2. This angle is less than a right angle (acute).
3. This angle is greater than a right angle (obtuse).
4. This angle is less than a right angle (acute).
Answer to Question 3
1. The bottle top turns the same way as the hands of a clock, so the turn is clockwise.
2. The wheel spins the opposite way to the clock hands, so it turns anticlockwise.
3. The minute hand always moves clockwise. From 12 to 3 is a quarter of the way round, so it is a clockwise quarter turn.
4. Turning to the left goes the opposite way to the clock hands, so a quarter turn left is anticlockwise.
Answer to Question 4
1. The line goes straight across, level like the horizon, so it is horizontal.
2. The line goes straight up and down, like a plumb line, so it is vertical.
3. The line is tilted: it is neither level nor straight up, so it is slanting.
4. The side edge of a door frame goes straight up from the floor, so it is vertical.
5. The top of a table is flat and level so things do not roll off. It is horizontal.
Answer to Question 5
1. The two lines go in the same direction and stay the same distance apart; they would never meet. They are parallel.
2. One line is horizontal and the other is vertical, and they meet in a square corner. They are perpendicular.
3. The rails of a railway track must stay the same distance apart all the way, or the train would fall off. They are parallel.
4. At 3 o'clock the minute hand points to 12 and the hour hand points to 3. They make a square corner, a right angle, so they are perpendicular.
Answer to Question 6
1. A square has 4 square corners, so it has 4 right angles.
2. A rectangle also has 4 square corners: 4 right angles.
3. The triangle has one square corner and the other two corners are smaller, so it has 1 right angle.
4. A circle is one curved line with no corners at all, so it has 0 right angles.
5. The letter L is a vertical line meeting a horizontal line in one square corner: 1 right angle.
Answer to Question 7
1. Clockwise is to the right.
2. Quarter turn = 1 right angle, half turn = 2 right angles. Total 3 right angles, which is a three-quarter turn.
3. It goes forward 3, turns round and goes forward 3 the opposite way. It is back at the start position, but facing a different way.
4. It has turned 3 right angles. One more right angle makes a full turn: a quarter turn clockwise.
Answer to Question 8
1. From 12 to 3 is 1 quarter turn.
2. From 12 to 9 is 3 quarter turns.
3. It is 2 right angles, so it is greater than a right angle.
4. At 3 o’clock (and at 9 o’clock) the hands make a right angle.
Answer to Question 9
1. Roads that cross at a right angle are perpendicular.
2. Lines that stay the same distance apart and never meet are parallel, so the pavement is parallel to the road.
3. Clockwise from north goes north, east, south, west. A quarter turn clockwise from north makes Zoe face east.
4. A half turn makes you face the opposite way. The opposite of east is west.
Answer to Question 10
1. A rectangle has 4 sides and 4 corners, so the frame has 4 corners.
2. A set square has a perfect square corner. If it fits exactly, the corner is a right angle.
3. Lines that stay the same distance apart all the way and never meet are parallel.
4. A long side and a short side meet at a right angle, so they are perpendicular.
Answer to Question 11
1. Every corner of a rectangle is a square corner, so the rectangle has 4 right angles.
2. Dee turns once at each corner. A rectangle has 4 corners, so she turns at 4 corners. 4 quarter turns make a full turn, so she ends up facing the way she started.
3. A ramp goes up at a tilt; it is neither level nor straight up. The ramp line is slanting.
4. An upright pole stands straight up from the flat ground and meets it at a right angle, so it is perpendicular to the ground.
Answer to Question 12
1. 4 slices make a full turn of 4 right angles, so each slice is 1 right angle.
2. 2 right angles (a half turn).
3. 8 slices share 4 right angles, so each slice is half a right angle: smaller than a right angle.
4. 8 − 3 = 5 slices.
Answer to Question 13
1. The outer line of the court is a rectangle, and a rectangle has a right angle at each corner: 4 right angles.
2. Perpendicular lines meet at a square corner, so the net makes a right angle with each long side.
3. The two long sides are one pair of parallel sides and the two short sides are another pair. That is 2 pairs.
4. The path from one corner to the opposite corner cuts across the rectangle at a tilt, like a diagonal. It is slanting.
Answer to Question 14
1. 4 arms share a full turn equally. A full turn is 4 right angles, so between two neighbouring arms there is 1 right angle.
2. A quarter turn clockwise moves the arm from pointing up to pointing right (east), like a clock hand going from 12 to 3.
3. Each quarter turn moves the arm one place round. It takes 4 quarter turns, a full turn, to come back to the top.
4. A half turn is 2 right angles, so the arm points the opposite way: it ends up at the bottom.
Answer to Question 15
1. Clockwise: a quarter turn (1) and a half turn (2) = 3 right angles (the half turn is clockwise). Anticlockwise: 1 right angle.
2. Net turn: 3 clockwise − 1 anticlockwise = 2 right angles, a half turn. No, not a full turn.
3. She is facing the opposite way to the start, so she makes a half turn to face the gate.
4. She turns 3 times (quarter, half, quarter). Only the 2 quarter turns make a right angle corner, so no: the path has 2 right angle corners and 1 half turn.
Answer to Question 16
1. All of E, F, H, L and T have at least one right angle: E, F, H, L, T.
2. Parallel (and both vertical).
3. The letter X has two lines that cross in the middle.
4. Yes: a horizontal line and a vertical line meet at a right angle.
Answer to Question 17
1. A horizontal line and a vertical line meet at a right angle, so they are perpendicular.
2. Vertical.
3. A quarter turn makes it horizontal.
4. After 2 quarter turns the kite is upside down. The original vertical stick is vertical again.
Answer to Question 18
1. A rectangle has 4 corners and each one must be a right angle, so he marks 4 right angles.
2. Perpendicular lines meet at a square corner, so the halfway line makes a right angle with each long side.
3. The two long sides are parallel and the two short sides are parallel, which makes 2 pairs.
4. He turns through 1 right angle at each of the 4 corners: 4 × 1 = 4 right angles, which is a full turn.
Answer to Question 19
1. 4 right angles and 2 pairs of parallel sides.
2. A quarter turn clockwise (1 right angle).
3. At 4 the hour hand points to 4. The angle is bigger than at 3. It is bigger than a right angle, so Maya is not right.
4. 3 o’clock and 9 o’clock.
Answer to Question 20
1. 4.
2. If she skates the way round that turns left at each corner, the turns are anticlockwise.
3. 4, which is a full turn.
4. Yes: a half turn faces the opposite direction.
Answer to Question 21
1. 9 o’clock. The hour hand points to 9 and the minute hand to 12: 3 numbers apart is a quarter turn.
2. 2 right angles (a half turn): the hour hand points to 6 and the minute hand to 12.
3. Each number on the clock is 1/12 of a full turn. A right angle is 3 numbers apart. On the hour the minute hand points to 12, so the hour hand must point to 3 or 9. The times are 3 o’clock and 9 o’clock.

How to use these Year 3 angles and lines worksheet answers

First, try every question on the worksheet without looking. Then compare your working with the solution line by line, not only the final answer. When your answer is different, find the first step that changes, because that is where the mistake is. After that, read the matching part of the angles and lines lesson again. Finally, check that the method is secure with the quiz or the test.

Also, the Year 3 angles and lines worksheet answers are available as a PDF, so you can mark printed work quickly. Moreover, all the pages of this chapter work together, so you can move between them at any time. For example, many pupils read the lesson on Monday, practise on Wednesday and test themselves on Friday. In short, these Year 3 angles and lines worksheet answers show every step, so nothing is left unexplained.