half-180 protractor reference
Original task with a separate reference answer. Letter or A4.
All paper sizes & editable formats
- Reference: US Letter PDF · editable SVG
- Reference: A4 PDF · editable SVG
Free printable resources · Original practice
Align the center and baseline, then follow the scale beginning at zero on your starting ray. Practice acute, obtuse and reflex angle checks.
Align the center and baseline, then follow the scale beginning at zero on your starting ray. Practice acute, obtuse and reflex angle checks.
Choose US Letter or A4 for prepared downloads. Original PDF and SVG files, worksheets and reference answers are free without signup. Collection packs contain the same individual pages in order.
Original task with a separate reference answer. Letter or A4.
Original task with a separate reference answer. Letter or A4.
The complete collection
Use the student pack first, then compare the reference or answer. Packs are PDFs; individual sheets below also include editable SVG files. The paper choice applies to every download.
Original task with a separate reference answer. Letter or A4.
Original task with a separate reference answer. Letter or A4.
Original task with a separate reference answer. Letter or A4.
| Task | Two ray directions | Smaller angle | Reflex check |
|---|---|---|---|
| PA01 | 0° and 37° | 37° | Acute |
| PA02 | 180° and 56° | 124° | Obtuse |
| PA03 | 300° and 25° | 85° | 360° − 85° = 275° |
The 180° file has 1° ticks, longer 5° and 10° marks, and two opposing label rows. On our template the outer row begins at 0° on the right. Other protractors can label their rows differently, so use the row that starts at zero on your chosen ray instead of memorizing a universal inner-versus-outer rule.
The 360° file marks 0° right, 90° up, 180° left and 270° down, increasing counterclockwise. To compare 300° with 25°, cross the zero direction: 60° + 25° = 85°. The reflex complement is 275°. Uniform resizing preserves angle geometry, but unequal stretching can change it. These templates have digital geometry checks and no physical calibration or precision-instrument certification.
| Watch for | Check instead |
|---|---|
| Reading the outer scale when the baseline ray points to the left. | Use the inner scale which begins at zero on the left side for left-pointing baselines. |
| Assuming the outer scale always starts at zero on the right. | Check which scale begins at zero on the side where your baseline ray is aligned. |
| Printing with nonuniform horizontal or vertical scaling. | Print at one hundred percent to ensure uniform scaling preserves the correct angle geometry. |
Print the PDF matching the paper in your printer at Actual size / 100% if you want to retain the millimeter dimensions defined in the file. Turn off Fit and Shrink when those dimensions matter. Uniform resizing preserves relative image proportions and angles but changes physical lengths. Unequal resizing can distort both. SVG editors and browser print dialogs can also change scale, so measure a physical calibration span when the task relies on size.
These files have digital geometry and layout checks. Physical printer testing has not been completed. Complete a student page before comparing the worked answer or reference illustration. A geometric or counting result can be exact, while a hand drawing can vary in its marks and interpretation. The original resources use CC BY 4.0: credit Zumola, link the license and indicate changes.
Move across 0°: 300° to 360° is 60°, then another 25° gives the smaller 85° angle. The reflex angle is 360° − 85° = 275°. The two ray directions are 300° and 25°, not one direction of 325°.
The reading is thirty seven degrees when the baseline is on the right and the ray points to thirty seven.
The reading is one hundred twenty four degrees when the baseline is on the left and the ray is at fifty six from the right.
Yes. Every linked original worksheet, answer, PDF and SVG is free without signup. Individual SVG sheets stay editable; collection packs are PDF files. Analytics consent is not required to use the resources.