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Maths · Grade 4 · Set C
How big is the turn?
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C
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Remember: A full turn is 360 degrees. Equal turns share it out, and turns add: 90 + 35 = 125 degrees.

Equal turns

1
A circle is cut into 5 equal turns. One turn is shaded. How many degrees is it?
2
A circle is cut into 9 equal turns. One turn is shaded. How many degrees is it?
3
Three of the ten equal turns are shaded. How many degrees is the shaded turn?
4
The long hand of a clock starts at 12 and turns to 4. How many degrees is that?
90 degrees150 degrees120 degrees
5
The long hand starts at 12 and turns clockwise to 7. How many degrees did it turn?

Joining and finding turns

6
A door opens a right angle, which is 90 degrees, and then 35 degrees more. How many degrees is the door open?
7
A 50 degree angle and another angle together make a right angle. How many degrees is the other angle?
8
A half turn is 180 degrees. Pip has turned the shaded part. How many more degrees finish the half turn?
9
A turn of 270 degrees is three quarter turns.
TrueFalse
10
Which two turns together make a full turn?
200 degrees and 150 degrees120 degrees and 250 degrees170 degrees and 190 degrees
11
Join each turn to its degrees.
  1. 11 of 4 equal turns
  2. 21 of 8 equal turns
  3. 31 of 6 equal turns
  4. 41 of 12 equal turns
  • A30 degrees
  • B60 degrees
  • C90 degrees
  • D45 degrees
12
Put the turns in order from the smallest to the biggest.
  • 1 of 8 equal turns
  • 1 of 10 equal turns
  • 1 of 5 equal turns
  • 1 of 3 equal turns
13
Write how you know a 36 degree turn is 1 tenth of a full turn.
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Answer key · Set C
How big is the turn?
172 360 split into 5 equal turns is 72 degrees each.
240 360 split into 9 equal turns is 40 degrees each.
3108 One turn is 36 degrees, and 3 × 36 = 108.
4120 degrees Each clock number is a turn of 30 degrees. 4 numbers is 4 × 30 = 120 degrees.
5210 Each clock number is 30 degrees, and 7 × 30 = 210.
6125 Turns add up: 90 + 35 = 125 degrees.
740 A right angle is 90 degrees, and 90 − 50 = 40.
860 One of 3 equal turns is 360 ÷ 3 = 120 degrees. 180 − 120 = 60 degrees.
9True A quarter turn is 90 degrees, and 3 × 90 = 270.
10170 degrees and 190 degrees A full turn is 360 degrees. 170 + 190 = 360. The other pairs make 350 and 370.
111-C, 2-D, 3-B, 4-A
122, 1, 3, 4 The more equal turns a circle is cut into, the smaller each turn: 36, 45, 72 and 120 degrees.
13Your own words: a grown-up reads it.
Mark each answer, count the right ones and write the score on the sheet.