Shape and space · Ages 7–8
Quarter, half and three-quarter turns worksheet
Part of: Compass directions and turns
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Quarter, half and three-quarter turns worksheet
Shape and space · Ages 7–8
Numsprite
numsprite.com
Name:Date:Score:／48
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.A clock's minute hand points at 10 and turns clockwise through a half turn. Which number does it point at now?
Answer:
2.A clock's minute hand points at 9 and turns clockwise through a quarter turn. Which number does it point at now?
Answer:
Part B: Choose, or true or false (2 marks each)
3.The arrow in the picture turns anticlockwise through three quarters of a turn. Which way does it point now?
- A. south
- B. north
- C. east
- D. west
Choose the right answer
Answer:
4.Ka-lok faces north and turns clockwise through three quarters of a turn. Which way does Ka-lok face now?
- A. north
- B. west
- C. south
- D. east
Choose the right answer
Answer:
5.Ka-lok faces east and turns clockwise through a half turn. Which way does Ka-lok face now?
- A. east
- B. west
- C. south
- D. north
Choose the right answer
Answer:
6.Ka-yee faces east and turns clockwise through a half turn. Which way does Ka-yee face now?
- A. west
- B. south
- C. north
- D. east
Choose the right answer
Answer:
7.Tsz-hin faces south, makes a half turn, and then faces east.
True or false?
Answer:
8.To turn clockwise from facing south to facing east, how far do you turn?
- A. a half turn
- B. three quarters of a turn
- C. a quarter turn
- D. a full turn
Choose the right answer
Answer:
9.Ka-yan faces west, makes a half turn, and then faces north.
True or false?
Answer:
10.To turn clockwise from facing east to facing south, how far do you turn?
- A. a quarter turn
- B. three quarters of a turn
- C. a full turn
- D. a half turn
Choose the right answer
Answer:
11.Turning clockwise through three quarters of a turn and turning anticlockwise through three quarters of a turn end up facing the same way.
True or false?
Answer:
12.Turning clockwise through a quarter turn and turning anticlockwise through a quarter turn end up facing the same way.
True or false?
Answer:
Part C: Word problems (4 marks each)
13.Tsz-ching is dancing and turns clockwise through one right angle each time, 5 times in all. How many full turns has Tsz-ching made?
Working:
Answer:
14.In Victoria Park, May faces west, makes a half turn clockwise, then turns anticlockwise through a half turn. Which way does May face in the end?
- A. east
- B. west
- C. north
- D. south
Choose the right answer
Working:
Answer:
15.The observation wheel by the harbour takes 16 minutes to turn once. How many minutes does it take to turn through three quarters of a turn?
Working:
Answer:
16.The observation wheel by the harbour takes 24 minutes to turn once. How many minutes does it take to turn through three quarters of a turn?
Working:
Answer:
17.In Victoria Park, Tsz-hin faces east, makes a half turn clockwise, then turns anticlockwise through three quarters of a turn. Which way does Tsz-hin face in the end?
- A. north
- B. west
- C. south
- D. east
Choose the right answer
Working:
Answer:
18.Ming is dancing and turns clockwise through one right angle each time, 14 times in all. How many full turns has Ming made?
Working:
Answer:
Show the answers and working
Quarter, half and three-quarter turns worksheet: Answers and working
Part A: Working out and filling in
1. 4
A clock face has 12 numbers and a full turn is 4 right angles. How many numbers does a half turn pass? Count on clockwise from 10.
A clock face has 12 numbers and a full turn is 4 right angles, so one right angle moves 3 of them: turning a half turn clockwise from 10 reaches 4.
2. 12
A clock face has 12 numbers and a full turn is 4 right angles. How many numbers does a quarter turn pass? Count on clockwise from 9.
A clock face has 12 numbers and a full turn is 4 right angles, so one right angle moves 3 of them: turning a quarter turn clockwise from 9 reaches 12.
Part B: Choose, or true or false
3. D. west
See where the arrow points now. Anticlockwise goes north → west → south → east, one right angle a step.
The arrow points south; turning it anticlockwise one right angle at a time, 3 of those steps, points it west.
4. B. west
Clockwise goes north → east → south → west, one right angle a step. How many steps is three quarters of a turn?
Turning clockwise from north one right angle at a time, three quarters of a turn (3 of those steps) ends facing west.
5. B. west
Clockwise goes north → east → south → west, one right angle a step. How many steps is a half turn?
Turning clockwise from east one right angle at a time, a half turn (2 of those steps) ends facing west.
6. A. west
Clockwise goes north → east → south → west, one right angle a step. How many steps is a half turn?
Turning clockwise from east one right angle at a time, a half turn (2 of those steps) ends facing west.
7. False
A half turn is 2 right angles, which takes you to face the opposite way. What is the opposite of south?
A half turn is 2 right angles, to the opposite way: the opposite of south is north, clockwise or anticlockwise.
8. B. three quarters of a turn
Step clockwise from south to east, one right angle each step. Count the steps.
Step clockwise from south to east, one right angle each: three quarters of a turn in all.
9. False
A half turn is 2 right angles, which takes you to face the opposite way. What is the opposite of west?
A half turn is 2 right angles, to the opposite way: the opposite of west is east, clockwise or anticlockwise.
10. A. a quarter turn
Step clockwise from east to south, one right angle each step. Count the steps.
Step clockwise from east to south, one right angle each: a quarter turn in all.
11. False
They face the same way only if together they make a full turn (4 quarter turns). How many quarter turns do three quarters of a turn and three quarters of a turn make?
They only end the same way if together they make a full turn (4 right angles): three right angles clockwise with one anticlockwise, or a half turn with a half turn.
12. False
They face the same way only if together they make a full turn (4 quarter turns). How many quarter turns do a quarter turn and a quarter turn make?
They only end the same way if together they make a full turn (4 right angles): three right angles clockwise with one anticlockwise, or a half turn with a half turn.
Part C: Word problems
Marking: 2 for the working, 1 for the answer, 1 for the sentence.
13. 1 full turn
Four right angles make one full turn. How many fours are there in 5?
4 right angles make a full turn: 5 right angles in fours make 1 full turns.
14. B. west
Turn one step at a time: first work out where May faces after the half turn, then turn a half turn anticlockwise from there.
After the half turn May faces east; turning a half turn anticlockwise from east faces west.
15. 12 minutes
A full turn splits into 4 right angles. Work out how long one right angle takes first.
A full turn is 4 right angles of 4 minutes each, so turning through three quarters of a turn takes 12 minutes.
16. 18 minutes
A full turn splits into 4 right angles. Work out how long one right angle takes first.
A full turn is 4 right angles of 6 minutes each, so turning through three quarters of a turn takes 18 minutes.
17. A. north
Turn one step at a time: first work out where Tsz-hin faces after the half turn, then turn three quarters of a turn anticlockwise from there.
After the half turn Tsz-hin faces west; turning three quarters of a turn anticlockwise from west faces north.
18. 3 full turns
Four right angles make one full turn. How many fours are there in 14?
4 right angles make a full turn: 14 right angles in fours make 3 full turns.
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