4th Grade Measuring and Drawing Angles Test Solutions and Scoring (PDF)

4th Grade math test solutions: Measuring and Drawing Angles – Maths PDF

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This angles test answers for 4th Grade covers measuring and drawing angles (Common Core 4.MD.C.5, 4.MD.C.6, 4.MD.C.7), with a free PDF to print.

Use this answer key to score the test out of 20 points. Each solution shows the correct work, and the scoring note explains how to give partial credit, including how close a measured or drawn angle must be.

Grade 4 · Common Core State Standards: 4.MD.C.5, 4.MD.C.6, 4.MD.C.7

Angles test answers: worked solutions

Question 1 – Turns and degrees [2 pts]

\(360 \div 4 = 90\)°
\(3 \times 90 = 270\)°

Scoring: 1 point for each correct answer with the degree sign or the word degrees.

Question 2 – Classify angles [2 pts]

62° is less than 90°: acute
108° is greater than 90°: obtuse

Scoring: 1 point for each correct classification.

Question 3 – Use the protractor [2 pts]

The ray crosses 65 on the scale that starts at 0: 65°
65 is less than 90: acute

Scoring: 1 point for the measure (accept 63° to 67°), 1 point for the classification that matches the answer.

Question 4 – Draw an angle [2 pts]

Place the protractor on the vertex, mark 150 on the scale, and draw a ray through the mark.

A 150° angle.

Scoring: 1 point for a second ray starting at the vertex, 1 point for an angle within 5 degrees of 150°.

Question 5 – Split angle [3 pts]

\(100 – 63 = 37\)°. Check: \(63 + 37 = 100\).
100° is greater than 90°: obtuse

63 + 37 = 100.

Scoring: part a, 1 point for subtracting and 1 point for the correct angle. Part b, 1 point.

Question 6 – Angles on a line [3 pts]

\(48 + 72 = 120\), and \(180 – 120 = 60\). x = 60°.
60° is less than 90°: acute

48 + 60 + 72 = 180.

Scoring: part a, 1 point for adding the known angles and 1 point for the correct x. Part b, 1 point.

Question 7 – Pizza party [3 pts]

\(360 \div 12 = 30\)°
\(5 \times 30 = 150\)°
7 slices are left: \(7 \times 30 = 210\)°. Check: \(150 + 210 = 360\).

Scoring: 1 point for each correct part.

Question 8 – Clock turns [3 pts]

\(7 \times 30 = 210\)°
\(360 – 210 = 150\)°
From 12 to 4 is \(4 \times 30 = 120\)°

Scoring: 1 point for each correct part.

Total score

Total

20 points

Key facts behind this angles test answers

Key facts

An angle has two rays and one shared endpoint called the vertex.
A full circle is 360 degrees, a half turn is 180 degrees, and a quarter turn is 90 degrees.
A one-degree angle turns through 1/360 of a circle.
Acute angles are less than 90 degrees, right angles are exactly 90 degrees, and obtuse angles are greater than 90 degrees.
If an angle is split into parts, the whole angle is the sum of the parts.

How to use this angles test answers

Score your test with the point values shown for each question. Then read the worked solution of every question where you lost points and note the method to review.

All Grade 4 chapters: Grade 4 math.

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