Shape and space · Ages 7–8

Angles and comparing them worksheet

Part of: Solids, angles and quadrilaterals

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Shape and space · Ages 7–8

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Write each answer in the space. For word problems, show your working and write a sentence answer.

1.How many angles does this shape have?
Answer:
2.2 sheets shaped with 5 sides each have one corner cut off along a straight line (not through another corner). How many angles do they have now altogether?
Answer:
3.3 sheets shaped with 4 sides each have one corner cut off along a straight line (not through another corner). How many angles do they have now altogether?
Answer:
4.2 sheets shaped with 3 sides each have one corner cut off along a straight line (not through another corner). How many angles do they have now altogether?
Answer:
5.2 sheets shaped with 6 sides each have one corner cut off along a straight line (not through another corner). How many angles do they have now altogether?
Answer:
6.3 sheets shaped with 6 sides each have one corner cut off along a straight line (not through another corner). How many angles do they have now altogether?
Answer:
7.3 sheets shaped with 3 sides each have one corner cut off along a straight line (not through another corner). How many angles do they have now altogether?
Answer:

11.May and Tsz-ching each open a folding fan: May's makes angle A and Tsz-ching's angle B (see the picture). Whose fan is open wider?
- A. The same
- B. May
- C. Can't tell
- D. Tsz-ching
Choose the right answer
Working:
Answer:
12.A rectangle of paper has 4 corners. Ka-lok cuts off 1 of them along straight lines (no cut passing through another corner or crossing another). How many angles does the paper have now?
Working:
Answer:
13.Chi-keung looks at a clock: the minute hand points at 12 and the hour hand at 4. How many big steps apart are the hands, on the smaller side?
Working:
Answer:
14.Ka-lok looks at a clock: the minute hand points at 12 and the hour hand at 6. How many big steps apart are the hands, on the smaller side?
Working:
Answer:
15.A rectangle of paper has 4 corners. Tsz-hin cuts off 1 of them along straight lines (no cut passing through another corner or crossing another). How many angles does the paper have now?
Working:
Answer:
16.Ka-lok and Tsz-ching each open a folding fan: Ka-lok's makes angle A and Tsz-ching's angle B (see the picture). Whose fan is open wider?
- A. The same
- B. Ka-lok
- C. Tsz-ching
- D. Can't tell
Choose the right answer
Working:
Answer:

Show the answers and working

Angles and comparing them worksheet: Answers and working

1. 4 angles
Every place where two sides meet is an angle. Go round the shape and count them.
Each corner where two sides meet is an angle: 4.
2. 12 angles
Cutting off a corner loses that angle, but new ones appear at the ends of the cut. Work out one sheet first.
Each loses 1 angle but gains 2 at the ends of the cut: 5 − 1 + 2 = 6; 2 sheets have 12.
3. 15 angles
Cutting off a corner loses that angle, but new ones appear at the ends of the cut. Work out one sheet first.
Each loses 1 angle but gains 2 at the ends of the cut: 4 − 1 + 2 = 5; 3 sheets have 15.
4. 8 angles
Cutting off a corner loses that angle, but new ones appear at the ends of the cut. Work out one sheet first.
Each loses 1 angle but gains 2 at the ends of the cut: 3 − 1 + 2 = 4; 2 sheets have 8.
5. 14 angles
Cutting off a corner loses that angle, but new ones appear at the ends of the cut. Work out one sheet first.
Each loses 1 angle but gains 2 at the ends of the cut: 6 − 1 + 2 = 7; 2 sheets have 14.
6. 21 angles
Cutting off a corner loses that angle, but new ones appear at the ends of the cut. Work out one sheet first.
Each loses 1 angle but gains 2 at the ends of the cut: 6 − 1 + 2 = 7; 3 sheets have 21.
7. 12 angles
Cutting off a corner loses that angle, but new ones appear at the ends of the cut. Work out one sheet first.
Each loses 1 angle but gains 2 at the ends of the cut: 3 − 1 + 2 = 4; 3 sheets have 12.

8. B
An angle has one vertex, with two straight sides drawn from it. Check each picture.
An angle has a vertex and two straight sides drawn from it.
9. A. Angle A
Compare how far each angle opens; ignore how long the sides are drawn.
Compare how far the sides open: the wider one is bigger, whatever the side lengths.
10. True
Look at how far the sides open, not how long they are drawn. Which opens wider?
Look at how far the sides open, not how long they are drawn.

Marking: 2 for the working, 1 for the answer, 1 for the sentence.

11. D. Tsz-ching
Compare how far the two angles open, not how big the fans are.
The wider angle is bigger, whatever the length of the fan's ribs.
12. 5 angles
Each cut loses one corner but makes new ones at both ends of the cut. After one cut, are there more angles or fewer?
Each cut removes a corner but makes 2 new ones, one more each time: 4 + 1 = 5.
13. 4 big steps
Count from 12 to 4 clockwise, then anticlockwise, and take the smaller count.
The minute hand on 12, the hour hand on 4; counting both ways, the smaller is 4.
14. 6 big steps
Count from 12 to 6 clockwise, then anticlockwise, and take the smaller count.
The minute hand on 12, the hour hand on 6; counting both ways, the smaller is 6.
15. 5 angles
Each cut loses one corner but makes new ones at both ends of the cut. After one cut, are there more angles or fewer?
Each cut removes a corner but makes 2 new ones, one more each time: 4 + 1 = 5.
16. B. Ka-lok
Compare how far the two angles open, not how big the fans are.
The wider angle is bigger, whatever the length of the fan's ribs.

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