Free printable Halloween activity

Spooky Geometry Investigation

A 20-problem Halloween geometry worksheet with angles, transformations, coordinate geometry, circles, composite area, surface area, and volume.

Grades 6–920 problemsAbout 65 minutesAnswers included
Download the free activity PDF

Why this activity works

The investigation treats diagrams as evidence rather than decoration. Students infer missing angles, apply coordinate rules, decompose unusual shapes, and choose measurement formulas across five themed stations.

Teaching note

Encourage a labeled sketch even when the problem can be solved mentally. Geometry mistakes often become visible as soon as dimensions and relationships appear on a diagram.

Materials

  • Pencil
  • Ruler
  • Graph paper for the transformation station

How to use it

Sketch and label each situation before calculating. Give exact answers with pi or radicals unless a decimal is requested.

Complete activity preview

All prompts below are included in the printable version. Keep the answer key closed until the activity is complete.

Haunted-house angles

Use complementary, supplementary, and triangle angle relationships.

  1. 1A roof triangle has angles 48 degrees and 67 degrees. Find the third angle.
  2. 2Two hallway angles form a straight line. One is 124 degrees. Find the other.
  3. 3Vertical angles measure (3x + 7) degrees and (5x - 19) degrees. Find x and the angle measure.
  4. 4The exterior angle of a triangle is 132\displaystyle 132 degrees. One remote interior angle is 47\displaystyle 47 degrees. Find the other.

Transformation chamber

Apply reflections, rotations, translations, and dilations.

  1. 5Reflect (-5, 2) across the y-axis.
  2. 6Rotate (3, -4) 90 degrees counterclockwise about the origin.
  3. 7Dilate (-2, 6) by scale factor 12\displaystyle \frac{1}{2} centered at the origin.
  4. 8Translate (−4,1)\displaystyle (-4,1) by the rule (x,y)−>(x+6,y−3)\displaystyle (x,y)->(x+6,y-3).

Coordinate graveyard

Use slope, midpoint, and distance to analyze segments.

  1. 9Find the slope through (-3, 1) and (5, 5).
  2. 10Find the midpoint of (-6, 8) and (4, -2).
  3. 11Find the distance between (1, 2) and (7, 10).
  4. 12Find the exact distance between (−2,−1)\displaystyle (-2,-1) and (4,7)\displaystyle (4,7).

Pumpkins and moon circles

Use circumference, area, and arc fractions.

  1. 13Find the circumference of a circular pumpkin with radius 7 cm. Give an exact answer.
  2. 14Find the area of a full moon with diameter 12 m.
  3. 15A 90-degree arc lies in a circle of radius 8. Find its exact arc length.
  4. 16A sector has radius 6\displaystyle 6 and central angle 120\displaystyle 120 degrees. Find its exact area.

Crypt measurement

Use composite area, surface area, and volume.

  1. 17A floor is a 12-by-8 rectangle with a 3-by-2 rectangle removed. Find its area.
  2. 18Find the volume of a rectangular crypt 8 ft by 5 ft by 4 ft.
  3. 19A cylinder has radius 3 and height 8. Find its exact volume.
  4. 20A cone has radius 4\displaystyle 4 and height 9\displaystyle 9. Find its exact volume.
Open the complete solutions

Open-ended and experimental responses may differ when the reasoning meets the stated conditions.

Haunted-house angles

1. 65 degrees

2. 56 degrees

3. x = 13; each angle is 46 degrees

4. 85\displaystyle 85 degrees

Transformation chamber

5. (5, 2)

6. (4, 3)

7. (-1, 3)

8. (2,−2)\displaystyle (2,-2)

Coordinate graveyard

9. 12\displaystyle \frac{1}{2}

10. (-1, 3)

11. 10 units

12. 10\displaystyle 10 units

Pumpkins and moon circles

13. 14π\displaystyle 14\pi cm

14. 36π\displaystyle 36\pi square m

15. 4π\displaystyle 4\pi units

16. 12π\displaystyle 12\pi square units

Crypt measurement

17. 90 square units

18. 160 cubic ft

19. 72π\displaystyle 72\pi cubic units

20. 48π\displaystyle 48\pi cubic units

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