Small practice. Bright discoveries.Explore the free starter collection
worksheetstudio.
Sign in
Back to worksheets
ReasoningAges 7-9

Combined sides of polygons

Combine multiple polygons and calculate the total number of straight sides altogether. Review suitability for your learners before teaching.

New variationTry interactive challengeBrowse templates
Age band:Ages 4-6Ages 7-9

Choose “Save as PDF” to keep a copy. Use your browser’s paper setting for A4 or Letter.

Worksheet StudioPractice pack · Ages 7-9

Combined sides of polygons

Take your time. Show your thinking.

  1. 1. How many sides are there altogether in 3 nonagons and 1 decagon?

    3 · 1 · Combined sides of polygons

  2. 2. How many sides are there altogether in 4 triangles and 1 nonagon?

    4 · 1 · Combined sides of polygons

  3. 3. How many sides are there altogether in 5 decagons and 1 triangle?

    5 · 1 · Combined sides of polygons

  4. 4. How many sides are there altogether in 1 pentagon and 1 hexagon?

    1 · 1 h · Combined sides of polygons

  5. 5. How many sides are there altogether in 4 hexagons and 1 decagon?

    4 h · 1 · Combined sides of polygons

  6. 6. How many sides are there altogether in 4 pentagons and 1 square?

    4 · 1 s · Combined sides of polygons

  7. 7. How many sides are there altogether in 4 hexagons and 1 square?

    4 h · 1 s · Combined sides of polygons

  8. 8. How many sides are there altogether in 2 triangles and 1 pentagon?

    2 · 1 · Combined sides of polygons

  9. 9. How many sides are there altogether in 1 hexagon and 1 nonagon?

    1 h · 1 · Combined sides of polygons

  10. 10. How many sides are there altogether in 4 squares and 1 square?

    4 s · 1 s · Combined sides of polygons

  11. 11. How many sides are there altogether in 5 nonagons and 1 decagon?

    5 · 1 · Combined sides of polygons

  12. 12. How many sides are there altogether in 2 triangles and 1 heptagon?

    2 · 1 h · Combined sides of polygons
12 questions · Seed 104736 · Age guidance, not curriculum certification
View the answer key
Worksheet StudioAnswer key · Ages 7-9

Combined sides of polygons

Answers and reasoning. Review before teaching.

  1. 1. How many sides are there altogether in 3 nonagons and 1 decagon?

    37

    Each nonagon has 9 sides and a decagon has 10 sides: 3 × 9 + 10 = 37.

  2. 2. How many sides are there altogether in 4 triangles and 1 nonagon?

    21

    Each triangle has 3 sides and a nonagon has 9 sides: 4 × 3 + 9 = 21.

  3. 3. How many sides are there altogether in 5 decagons and 1 triangle?

    53

    Each decagon has 10 sides and a triangle has 3 sides: 5 × 10 + 3 = 53.

  4. 4. How many sides are there altogether in 1 pentagon and 1 hexagon?

    11

    Each pentagon has 5 sides and a hexagon has 6 sides: 1 × 5 + 6 = 11.

  5. 5. How many sides are there altogether in 4 hexagons and 1 decagon?

    34

    Each hexagon has 6 sides and a decagon has 10 sides: 4 × 6 + 10 = 34.

  6. 6. How many sides are there altogether in 4 pentagons and 1 square?

    24

    Each pentagon has 5 sides and a square has 4 sides: 4 × 5 + 4 = 24.

  7. 7. How many sides are there altogether in 4 hexagons and 1 square?

    28

    Each hexagon has 6 sides and a square has 4 sides: 4 × 6 + 4 = 28.

  8. 8. How many sides are there altogether in 2 triangles and 1 pentagon?

    11

    Each triangle has 3 sides and a pentagon has 5 sides: 2 × 3 + 5 = 11.

  9. 9. How many sides are there altogether in 1 hexagon and 1 nonagon?

    15

    Each hexagon has 6 sides and a nonagon has 9 sides: 1 × 6 + 9 = 15.

  10. 10. How many sides are there altogether in 4 squares and 1 square?

    20

    Each square has 4 sides and a square has 4 sides: 4 × 4 + 4 = 20.

  11. 11. How many sides are there altogether in 5 nonagons and 1 decagon?

    55

    Each nonagon has 9 sides and a decagon has 10 sides: 5 × 9 + 10 = 55.

  12. 12. How many sides are there altogether in 2 triangles and 1 heptagon?

    13

    Each triangle has 3 sides and a heptagon has 7 sides: 2 × 3 + 7 = 13.

12 questions · Seed 104736 · Age guidance, not curriculum certification
Worksheet StudioPractice pack · Ages 7-9

Combined sides of polygons

Take your time. Show your thinking.

  1. 1. How many sides are there altogether in 3 nonagons and 1 decagon?

    3 · 1 · Combined sides of polygons

  2. 2. How many sides are there altogether in 4 triangles and 1 nonagon?

    4 · 1 · Combined sides of polygons

  3. 3. How many sides are there altogether in 5 decagons and 1 triangle?

    5 · 1 · Combined sides of polygons

  4. 4. How many sides are there altogether in 1 pentagon and 1 hexagon?

    1 · 1 h · Combined sides of polygons

  5. 5. How many sides are there altogether in 4 hexagons and 1 decagon?

    4 h · 1 · Combined sides of polygons

  6. 6. How many sides are there altogether in 4 pentagons and 1 square?

    4 · 1 s · Combined sides of polygons

  7. 7. How many sides are there altogether in 4 hexagons and 1 square?

    4 h · 1 s · Combined sides of polygons

  8. 8. How many sides are there altogether in 2 triangles and 1 pentagon?

    2 · 1 · Combined sides of polygons

  9. 9. How many sides are there altogether in 1 hexagon and 1 nonagon?

    1 h · 1 · Combined sides of polygons

  10. 10. How many sides are there altogether in 4 squares and 1 square?

    4 s · 1 s · Combined sides of polygons

  11. 11. How many sides are there altogether in 5 nonagons and 1 decagon?

    5 · 1 · Combined sides of polygons

  12. 12. How many sides are there altogether in 2 triangles and 1 heptagon?

    2 · 1 h · Combined sides of polygons
12 questions · Seed 104736 · Age guidance, not curriculum certification
Worksheet StudioAnswer key · Ages 7-9

Combined sides of polygons

Answers and reasoning. Review before teaching.

  1. 1. How many sides are there altogether in 3 nonagons and 1 decagon?

    37

    Each nonagon has 9 sides and a decagon has 10 sides: 3 × 9 + 10 = 37.

  2. 2. How many sides are there altogether in 4 triangles and 1 nonagon?

    21

    Each triangle has 3 sides and a nonagon has 9 sides: 4 × 3 + 9 = 21.

  3. 3. How many sides are there altogether in 5 decagons and 1 triangle?

    53

    Each decagon has 10 sides and a triangle has 3 sides: 5 × 10 + 3 = 53.

  4. 4. How many sides are there altogether in 1 pentagon and 1 hexagon?

    11

    Each pentagon has 5 sides and a hexagon has 6 sides: 1 × 5 + 6 = 11.

  5. 5. How many sides are there altogether in 4 hexagons and 1 decagon?

    34

    Each hexagon has 6 sides and a decagon has 10 sides: 4 × 6 + 10 = 34.

  6. 6. How many sides are there altogether in 4 pentagons and 1 square?

    24

    Each pentagon has 5 sides and a square has 4 sides: 4 × 5 + 4 = 24.

  7. 7. How many sides are there altogether in 4 hexagons and 1 square?

    28

    Each hexagon has 6 sides and a square has 4 sides: 4 × 6 + 4 = 28.

  8. 8. How many sides are there altogether in 2 triangles and 1 pentagon?

    11

    Each triangle has 3 sides and a pentagon has 5 sides: 2 × 3 + 5 = 11.

  9. 9. How many sides are there altogether in 1 hexagon and 1 nonagon?

    15

    Each hexagon has 6 sides and a nonagon has 9 sides: 1 × 6 + 9 = 15.

  10. 10. How many sides are there altogether in 4 squares and 1 square?

    20

    Each square has 4 sides and a square has 4 sides: 4 × 4 + 4 = 20.

  11. 11. How many sides are there altogether in 5 nonagons and 1 decagon?

    55

    Each nonagon has 9 sides and a decagon has 10 sides: 5 × 9 + 10 = 55.

  12. 12. How many sides are there altogether in 2 triangles and 1 heptagon?

    13

    Each triangle has 3 sides and a heptagon has 7 sides: 2 × 3 + 7 = 13.

12 questions · Seed 104736 · Age guidance, not curriculum certification