Shape and space · Ages 7–8
Right, acute and obtuse angles worksheet
Part of: Solids, angles and quadrilaterals
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Right, acute and obtuse angles worksheet
Shape and space · Ages 7–8
Numsprite
numsprite.com
Name:Date:Score:／46
Write each answer in the space. For word problems, show your working and write a sentence answer.
Part A: Working out and filling in (2 marks each)
1.How many right angles does this shape have?
Answer:
Part B: Choose, or true or false (2 marks each)
2.Which of these is a right angle?
- A
- B
- C
- D
Choose the right picture
Answer:
3.What kind of angle is this?
- A. Obtuse
- B. Right angle
- C. Not an angle
- D. Acute
Choose the right answer
Answer:
4.Which of these is an obtuse angle?
- A
- B
- C
- D
Choose the right picture
Answer:
5.On a clock the minute hand points at 12 and the hour hand at 7. What kind of angle do the hands make (the smaller side)?
- A. Obtuse
- B. Right angle
- C. Acute
- D. A straight line
Choose the right answer
Answer:
6.On a clock the minute hand points at 12 and the hour hand at 10. What kind of angle do the hands make (the smaller side)?
- A. A straight line
- B. Right angle
- C. Acute
- D. Obtuse
Choose the right answer
Answer:
7.On a clock the minute hand points at 12 and the hour hand at 5. What kind of angle do the hands make (the smaller side)?
- A. Acute
- B. Obtuse
- C. A straight line
- D. Right angle
Choose the right answer
Answer:
8.On a clock the minute hand points at 12 and the hour hand at 2. What kind of angle do the hands make (the smaller side)?
- A. A straight line
- B. Right angle
- C. Acute
- D. Obtuse
Choose the right answer
Answer:
9.This angle is acute.
True or false?
Answer:
10.On a clock the minute hand points at 12 and the hour hand at 11. What kind of angle do the hands make (the smaller side)?
- A. A straight line
- B. Right angle
- C. Acute
- D. Obtuse
Choose the right answer
Answer:
11.On a clock the minute hand points at 12 and the hour hand at 6. What kind of angle do the hands make (the smaller side)?
- A. Right angle
- B. Obtuse
- C. Acute
- D. A straight line
Choose the right answer
Answer:
Part C: Word problems (4 marks each)
12.All four corners of a rectangular card are right angles. Chi-keung has 2 such cards. How many right angles is that?
Working:
Answer:
13.Tsz-ching says, “When the clock's minute hand is on 12 and the hands make a right angle, I go and exercise.” Which of these could the hour hand be pointing at then?
- A. 8
- B. 1
- C. 9
- D. 6
Choose the right answer
Working:
Answer:
14.Chi-keung opens a folding fan, and its two edges make the angle in the picture. What kind of angle is it?
- A. Right angle
- B. Obtuse
- C. Acute
- D. Not an angle
Choose the right answer
Working:
Answer:
15.All four corners of a rectangular card are right angles. Chi-keung has 5 such cards. How many right angles is that?
Working:
Answer:
16.Ming opens a folding fan, and its two edges make the angle in the picture. What kind of angle is it?
- A. Right angle
- B. Acute
- C. Obtuse
- D. Not an angle
Choose the right answer
Working:
Answer:
17.Ming says, “When the clock's minute hand is on 12 and the hands make a right angle, I go and exercise.” Which of these could the hour hand be pointing at then?
- A. 8
- B. 6
- C. 3
- D. 4
Choose the right answer
Working:
Answer:
Show the answers and working
Right, acute and obtuse angles worksheet: Answers and working
Part A: Working out and filling in
1. 0 right angles
Check each corner with a set square; only an exact match is a right angle.
Check each corner with a set square: 0 right angles.
Part B: Choose, or true or false
2. D
A right angle is like the corner of a book. Check each one with a set square.
Check with a set square: the one that matches its corner exactly is the right angle.
3. D. Acute
Hold a set square against it: is the angle smaller than, the same as, or bigger than a right angle?
Check with a set square: matching is a right angle, smaller is acute, bigger is obtuse.
4. A
An obtuse angle is bigger than a right angle but not yet a straight line. Check each one with a set square.
An obtuse angle is bigger than a right angle, but its sides aren't yet a straight line.
5. A. Obtuse
On a clock, 3 big steps apart is a right angle. Count how many big steps lie between 12 and 7 on the smaller side.
The minute hand on 12 and the hour hand on 7 are 5 big steps apart; 3 steps is a right angle.
6. C. Acute
On a clock, 3 big steps apart is a right angle. Count how many big steps lie between 12 and 10 on the smaller side.
The minute hand on 12 and the hour hand on 10 are 2 big steps apart; 3 steps is a right angle.
7. B. Obtuse
On a clock, 3 big steps apart is a right angle. Count how many big steps lie between 12 and 5 on the smaller side.
The minute hand on 12 and the hour hand on 5 are 5 big steps apart; 3 steps is a right angle.
8. C. Acute
On a clock, 3 big steps apart is a right angle. Count how many big steps lie between 12 and 2 on the smaller side.
The minute hand on 12 and the hour hand on 2 are 2 big steps apart; 3 steps is a right angle.
9. False
An acute angle is smaller than a right angle. Check this one with a set square.
An acute angle is smaller than a right angle: check with a set square.
10. C. Acute
On a clock, 3 big steps apart is a right angle. Count how many big steps lie between 12 and 11 on the smaller side.
The minute hand on 12 and the hour hand on 11 are 1 big steps apart; 3 steps is a right angle.
11. D. A straight line
On a clock, 3 big steps apart is a right angle. Count how many big steps lie between 12 and 6 on the smaller side.
The minute hand on 12 and the hour hand on 6 are 6 big steps apart; 3 steps is a right angle.
Part C: Word problems
Marking: 2 for the working, 1 for the answer, 1 for the sentence.
12. 8 right angles
Each rectangular card has 4 right angles, so 2 cards are 2 lots of 4.
4 each, so 2 cards have 8.
13. C. 9
With the minute hand on 12, how many big steps apart must the hands be for a right angle? Count both ways from 12.
Only 3 big steps apart makes a right angle: with the minute hand on 12, the hour hand must be on 3 or 9.
14. A. Right angle
Hold a set square against it: is the angle smaller than, the same as, or bigger than a right angle?
Compare with a right angle: smaller is acute, equal is right, bigger is obtuse.
15. 20 right angles
Each rectangular card has 4 right angles, so 5 cards are 5 lots of 4.
4 each, so 5 cards have 20.
16. C. Obtuse
Hold a set square against it: is the angle smaller than, the same as, or bigger than a right angle?
Compare with a right angle: smaller is acute, equal is right, bigger is obtuse.
17. C. 3
With the minute hand on 12, how many big steps apart must the hands be for a right angle? Count both ways from 12.
Only 3 big steps apart makes a right angle: with the minute hand on 12, the hour hand must be on 3 or 9.
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