Measuring Angles in Degrees Worksheet for primary students.

Let’s solve each part step by step.

---

Question 1: Measuring angles in circles

We know a full circle = 360°. We need to find the angle of the shaded part and say what kind of angle it is.

- a) Half the circle is shaded → 360° ÷ 2 = 180° → This is a straight angle.
- b) One quarter (top right) is shaded → 360° ÷ 4 = 90° → This is a right angle.
- c) Three quarters are shaded (bottom half + top right) → 3/4 × 360° = 270° → This is a reflex angle (because it’s more than 180° but less than 360°).
- d) Half the circle is shaded (left side) → same as (a) → 180° → straight angle.

Wait — let’s double-check (c):
The yellow area covers bottom half (180°) plus top right quarter (90°), so 180 + 90 = 270° → yes, reflex.

And (d): blue is left half → 180° → straight.

---

Question 2: Drawing minute hand after turns

Minute hand starts at 12 (pointing up).

- a) Clockwise 180° turn → from 12, going clockwise halfway around → ends at 6.
- b) Anti-clockwise 90° turn → from 12, going counter-clockwise one-quarter way → ends at 9.

(You don’t have to draw here, just know where it points.)

---

Question 3: Compass directions

Compass has 4 main directions: N, E, S, W. Each turn between them is 90°.

- a) Start facing East (E). Make a 180° clockwise turn.
- 90° clockwise from E → South (S)
- Another 90° → West (W)
So 180° total → you face West.

- b) Start facing West (W). Make a 270° anti-clockwise turn.
Let’s go step by step anti-clockwise:
- 90° anti-clockwise from W → South (S)
- 180° anti-clockwise from W → East (E)
- 270° anti-clockwise from W → North (N)

Alternatively: 270° anti-clockwise = same as 90° clockwise (since 360 - 270 = 90).
From W, 90° clockwise → North? Wait, no:

Wait — let’s map it clearly:

Facing West. Turn anti-clockwise:

- 90° → South
- 180° → East
- 270° → North

Yes → final direction is North.

Double-check:
Anti-clockwise from W:
W → S → E → N → that’s 270° → yes, ends at N.

---

Final Answer:

1.
a) 180°, straight
b) 90°, right
c) 270°, reflex
d) 180°, straight

2.
a) Minute hand points to 6
b) Minute hand points to 9

3.
a) West
b) North