4th Grade Measuring and Drawing Angles Test Answer Key and Scoring Guide (PDF)

4th grade measuring angles test answer key – Maths PDF

Cover of the book Grade 4 Math Tests with Answer Keys (PDF)

Download as a PDFThe Grade 4 tests book with answer keysPrintable PDFSee the book ›

Sommaire

This 4th grade measuring angles test answer key 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.

Key takeaway: This answer key helps fourth grade students see how each point on the angle test was earned.

Topic: Measuring and Drawing Angles (4th grade)
Content: Worked solutions and a scoring guide for 8 questions
Standards: 4.MD.C.5, 4.MD.C.6, 4.MD.C.7
Answers: Every step shown, with the method to review
Format: Free printable PDF, US Letter, black and white

This answer key helps fourth grade students see how each point on the angle test was earned. Also, it gives complete solutions to all eight questions, including drawing guidelines for question 4 and the three part word problems in questions 7 and 8.

Each solution names the rule used, such as angles on a line adding to \(180^{\circ}\) or a right angle being \(90^{\circ}\). Add your points out of 20, then spend 15 minutes redoing every question that lost credit. Then, if you missed a protractor question, remeasure the angle in the picture and compare it with the key.

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

4th grade measuring angles test answer key: worked solutions

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.

2 – Classify angles [2 pts]

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

Scoring: 1 point for each correct classification.

3 – Use the protractor [2 pts]

So, 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.

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°.

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.

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 and after

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.

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 4th grade measuring angles test answer key

Key facts

An angle has two rays and one shared endpoint called the vertex.
Next, 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.

Common mistakes with this 4th grade measuring angles test answer key

Students lose points in question 5 by naming the wrong angle. The unknown angle is SQR, so subtract the known part from the whole.
Students judge the drawing in question 4 only by sight. Instead, measure it again and check that it is within a degree or two of \(150^{\circ}\).
Students ignore the labels for acute, right, and obtuse. The key shows that each label is its own point, so a correct number alone is not enough.
Students forget to include units in question 8. Degrees are part of the answer, so write the number with the word degrees or the degree symbol.

How to learn from your test

Sort lost points into measuring, drawing, and word problems. Also, this tells you whether you need more protractor practice or more careful reading.
Redo question 6 with different numbers. Then, switching from 180 to another total teaches you to check which rule applies each time.
Teachers can ask students to explain a correction to a partner, using the protractor or the clock picture as a visual aid.

Download the 4th grade measuring angles test answer key as a PDF with the button below and keep it with your notes.

4th grade measuring angles test answer key: frequently asked questions

How is partial credit given on angle questions?

Points are usually split between the method and the answer. So, on this test, question 5 gives 2 points for the unknown angle and 1 for classifying the whole angle. Also, a correct subtraction with a small arithmetic error often earns most of the points.

Why does the clock question use 30 degrees?

A clock face is a full circle of 360 degrees split among 12 numbers, so each gap is 360 divided by 12, which is 30 degrees. A turn from 12 to 7 covers seven gaps, which is 7 times 30, or 210 degrees.

What should I do if my drawn angle looks different from the key?

Remeasure it with a protractor. If it is within about two degrees of the right size, it is probably fine. If it is far off, redraw it, and make sure zero lines up with the first ray and you marked the correct scale.

All Grade 4 chapters: Grade 4 math.

Voter.. post

Free printable PDF