This grade 4 angles test answer key gives the full solution and the scoring guide for each of the 9 test questions on measuring and adding angles.
Use this answer key to score the angles test out of 20 points. Each solution shows the work, and the scoring note explains how the points are awarded. For drawn angles, accept answers within 3 degrees of the correct measure.
Grade 4 Angles Test Answer Key: questions 1–5
Question 1: Turns and degrees (2 points)
(a) \(360 : 2 = 180\). A half turn is \(180^{\circ}\).
(b) \(90 : 360 = \frac{1}{4}\). An angle of \(90^{\circ}\) is \(\frac{1}{4}\) of a circle.
Scoring: 1 point for each correct answer.
Question 2: One-degree angles (2 points)
(a) \(110^{\circ}\). (b) 60 one-degree angles.
Scoring: 1 point for each correct answer.
Question 3: Reading a protractor (2 points)
(a) Ray C crosses 60: \(60^{\circ}\). (b) Ray B crosses 115: \(115^{\circ}\).
Scoring: 1 point for each correct measure. Do not give credit for a reading from the wrong scale (\(120^{\circ}\) or \(65^{\circ}\)).
Question 4: Rays not on zero (2 points)
Ray P crosses \(35^{\circ}\) and ray Q crosses \(100^{\circ}\).
\(100 – 35 = 65\).
The angle measures \(65^{\circ}\).
Scoring: 1 point for reading both rays correctly, 1 point for subtracting to get the measure.
Question 5: Draw an angle (3 points)
Place the center of the protractor on the dot, with the 0 mark on the given ray. Mark 70 on the scale that starts at 0 and draw a ray from the dot through the mark.
Scoring: (a) 1 point for using the dot as the vertex and the given ray as one side, 1 point for an angle within 3 degrees of \(70^{\circ}\). (b) 1 point for the label \(70^{\circ}\).
Grade 4 Angles Test Answer Key: questions 6–9
Question 6: Adding angle measures (2 points)
(a) \(38 + 47 = n\).
(b) \(n = 85\). Angle AOB measures \(85^{\circ}\).
Scoring: 1 point for an equation that adds the two parts, 1 point for the correct sum.
Question 7: Unknown angles (3 points)
(a) \(34 + x = 90\), so \(x = 90 – 34 = 56\): \(56^{\circ}\).
(b) \(72 + y = 180\), so \(y = 180 – 72 = 108\): \(108^{\circ}\).
Scoring: (a) 1 point. (b) 1 point for the equation, 1 point for the correct value.
Question 8: Equation with a letter (2 points)
Let \(d\) be the measure of angle DBC. \(87 + d = 142\).
\(d = 142 – 87 = 55\).
Angle DBC measures \(55^{\circ}\).
Scoring: 1 point for a correct equation, 1 point for the solution.
Question 9: Angle on a clock (2 points)
(a) Each space between numbers is \(360 : 12 = 30\) degrees. From 12 to 5 is \(5 \times 30 = 150\): \(150^{\circ}\).
(b) A quarter turn is \(90^{\circ}\). \(150 – 90 = 60\): \(60^{\circ}\) greater.
Scoring: 1 point for each correct answer.
Scoring summary
20 points: add the points of every question of this grade 4 angles test answer key.
How to use this grade 4 angles test answer key
Use this grade 4 angles test answer key to score the test fairly and to see which skills need more practice.
See every chapter on the Grade 4 math page.
