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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.

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Age band:Ages 4-6Ages 7-9

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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 1 decagon and 1 square?

    1 · 1 s · Combined sides of polygons

  2. 2. How many sides are there altogether in 5 squares and 1 heptagon?

    5 s · 1 h · Combined sides of polygons

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

    3 · 1 · Combined sides of polygons

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

    3 · 1 · Combined sides of polygons

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

    1 · 1 s · Combined sides of polygons

  6. 6. How many sides are there altogether in 3 squares and 1 pentagon?

    3 s · 1 · Combined sides of polygons

  7. 7. How many sides are there altogether in 5 pentagons and 1 decagon?

    5 · 1 · Combined sides of polygons

  8. 8. How many sides are there altogether in 3 heptagons and 1 nonagon?

    3 h · 1 · Combined sides of polygons

  9. 9. How many sides are there altogether in 5 heptagons and 1 heptagon?

    5 h · 1 h · Combined sides of polygons

  10. 10. How many sides are there altogether in 2 heptagons and 1 decagon?

    2 h · 1 · Combined sides of polygons

  11. 11. How many sides are there altogether in 2 nonagons and 1 triangle?

    2 · 1 · Combined sides of polygons

  12. 12. How many sides are there altogether in 3 heptagons and 1 square?

    3 h · 1 s · Combined sides of polygons
12 questions · Seed 74 · 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 1 decagon and 1 square?

    14

    Each decagon has 10 sides and a square has 4 sides: 1 × 10 + 4 = 14.

  2. 2. How many sides are there altogether in 5 squares and 1 heptagon?

    27

    Each square has 4 sides and a heptagon has 7 sides: 5 × 4 + 7 = 27.

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

    27

    Each octagon has 8 sides and a triangle has 3 sides: 3 × 8 + 3 = 27.

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

    32

    Each nonagon has 9 sides and a pentagon has 5 sides: 3 × 9 + 5 = 32.

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

    7

    Each triangle has 3 sides and a square has 4 sides: 1 × 3 + 4 = 7.

  6. 6. How many sides are there altogether in 3 squares and 1 pentagon?

    17

    Each square has 4 sides and a pentagon has 5 sides: 3 × 4 + 5 = 17.

  7. 7. How many sides are there altogether in 5 pentagons and 1 decagon?

    35

    Each pentagon has 5 sides and a decagon has 10 sides: 5 × 5 + 10 = 35.

  8. 8. How many sides are there altogether in 3 heptagons and 1 nonagon?

    30

    Each heptagon has 7 sides and a nonagon has 9 sides: 3 × 7 + 9 = 30.

  9. 9. How many sides are there altogether in 5 heptagons and 1 heptagon?

    42

    Each heptagon has 7 sides and a heptagon has 7 sides: 5 × 7 + 7 = 42.

  10. 10. How many sides are there altogether in 2 heptagons and 1 decagon?

    24

    Each heptagon has 7 sides and a decagon has 10 sides: 2 × 7 + 10 = 24.

  11. 11. How many sides are there altogether in 2 nonagons and 1 triangle?

    21

    Each nonagon has 9 sides and a triangle has 3 sides: 2 × 9 + 3 = 21.

  12. 12. How many sides are there altogether in 3 heptagons and 1 square?

    25

    Each heptagon has 7 sides and a square has 4 sides: 3 × 7 + 4 = 25.

12 questions · Seed 74 · 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 1 decagon and 1 square?

    1 · 1 s · Combined sides of polygons

  2. 2. How many sides are there altogether in 5 squares and 1 heptagon?

    5 s · 1 h · Combined sides of polygons

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

    3 · 1 · Combined sides of polygons

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

    3 · 1 · Combined sides of polygons

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

    1 · 1 s · Combined sides of polygons

  6. 6. How many sides are there altogether in 3 squares and 1 pentagon?

    3 s · 1 · Combined sides of polygons

  7. 7. How many sides are there altogether in 5 pentagons and 1 decagon?

    5 · 1 · Combined sides of polygons

  8. 8. How many sides are there altogether in 3 heptagons and 1 nonagon?

    3 h · 1 · Combined sides of polygons

  9. 9. How many sides are there altogether in 5 heptagons and 1 heptagon?

    5 h · 1 h · Combined sides of polygons

  10. 10. How many sides are there altogether in 2 heptagons and 1 decagon?

    2 h · 1 · Combined sides of polygons

  11. 11. How many sides are there altogether in 2 nonagons and 1 triangle?

    2 · 1 · Combined sides of polygons

  12. 12. How many sides are there altogether in 3 heptagons and 1 square?

    3 h · 1 s · Combined sides of polygons
12 questions · Seed 74 · 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 1 decagon and 1 square?

    14

    Each decagon has 10 sides and a square has 4 sides: 1 × 10 + 4 = 14.

  2. 2. How many sides are there altogether in 5 squares and 1 heptagon?

    27

    Each square has 4 sides and a heptagon has 7 sides: 5 × 4 + 7 = 27.

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

    27

    Each octagon has 8 sides and a triangle has 3 sides: 3 × 8 + 3 = 27.

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

    32

    Each nonagon has 9 sides and a pentagon has 5 sides: 3 × 9 + 5 = 32.

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

    7

    Each triangle has 3 sides and a square has 4 sides: 1 × 3 + 4 = 7.

  6. 6. How many sides are there altogether in 3 squares and 1 pentagon?

    17

    Each square has 4 sides and a pentagon has 5 sides: 3 × 4 + 5 = 17.

  7. 7. How many sides are there altogether in 5 pentagons and 1 decagon?

    35

    Each pentagon has 5 sides and a decagon has 10 sides: 5 × 5 + 10 = 35.

  8. 8. How many sides are there altogether in 3 heptagons and 1 nonagon?

    30

    Each heptagon has 7 sides and a nonagon has 9 sides: 3 × 7 + 9 = 30.

  9. 9. How many sides are there altogether in 5 heptagons and 1 heptagon?

    42

    Each heptagon has 7 sides and a heptagon has 7 sides: 5 × 7 + 7 = 42.

  10. 10. How many sides are there altogether in 2 heptagons and 1 decagon?

    24

    Each heptagon has 7 sides and a decagon has 10 sides: 2 × 7 + 10 = 24.

  11. 11. How many sides are there altogether in 2 nonagons and 1 triangle?

    21

    Each nonagon has 9 sides and a triangle has 3 sides: 2 × 9 + 3 = 21.

  12. 12. How many sides are there altogether in 3 heptagons and 1 square?

    25

    Each heptagon has 7 sides and a square has 4 sides: 3 × 7 + 4 = 25.

12 questions · Seed 74 · Age guidance, not curriculum certification