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Shapes Worksheet for Maths Olympiad Class 4

Maths Olympiad topic 6: Sides, corners and cubes · Set 29 · 40 questions
TalentJR

How to solve it (Know the shape numbers): Sides: triangle 3, square and rectangle 4, pentagon 5, hexagon 6, octagon 8. A flat shape has as many corners as sides. Several of one shape: multiply (3 triangles → 3 × 3 = 9 sides). Two kinds of shape: work each out, then add. A cube has 6 faces, 12 edges and 8 corners.

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  1. 1.How many sides do 2 pentagons and 5 squares have altogether? (a) 30 (b) 20 (c) 33 (d) 10
  2. 2.How many sides do 4 pentagons and 3 squares have altogether? (a) 32 (b) 31 (c) 20 (d) 12
  3. 3.How many sides do 1 hexagon and 1 pentagon have altogether? (a) 6 (b) 5 (c) 11 (d) 2
  4. 4.How many faces do 5 cubes have altogether? (a) 60 (b) 6 (c) 30 (d) 40
  5. 5.How many corners do 2 cubes have altogether? (a) 16 (b) 8 (c) 24 (d) 12
  6. 6.How many corners do 5 squares and 3 octagons have altogether? (a) 52 (b) 24 (c) 44 (d) 20
  7. 7.How many corners do 4 rectangles and 2 triangles have altogether? (a) 6 (b) 20 (c) 22 (d) 16
  8. 8.How many corners do 5 rectangles and 5 squares have altogether? (a) 40 (b) 41 (c) 10 (d) 20
  9. 9.How many corners do 4 hexagons and 2 pentagons have altogether? (a) 34 (b) 10 (c) 24 (d) 32
  10. 10.How many sides do 3 octagons and 2 squares have altogether? (a) 28 (b) 24 (c) 8 (d) 32
  11. 11.How many sides do 1 square and 1 pentagon have altogether? (a) 4 (b) 5 (c) 9 (d) 2
  12. 12.How many corners do 1 octagon and 2 squares have altogether? (a) 3 (b) 8 (c) 16 (d) 20
  13. 13.How many sides do 1 square and 5 pentagons have altogether? (a) 6 (b) 25 (c) 29 (d) 4
  14. 14.How many corners do 3 cubes have altogether? (a) 36 (b) 24 (c) 8 (d) 18
  15. 15.How many sides do 3 octagons and 2 pentagons have altogether? (a) 10 (b) 24 (c) 34 (d) 31
  16. 16.How many corners do 4 squares and 1 pentagon have altogether? (a) 16 (b) 21 (c) 5 (d) 24
  17. 17.How many corners do 5 hexagons and 5 octagons have altogether? (a) 70 (b) 30 (c) 10 (d) 40
  18. 18.How many faces do 3 cubes have altogether? (a) 6 (b) 18 (c) 36 (d) 24
  19. 19.How many corners do 3 hexagons and 4 squares have altogether? (a) 34 (b) 16 (c) 18 (d) 36
  20. 20.How many faces do 2 cubes have altogether? (a) 16 (b) 24 (c) 6 (d) 12
  21. 21.How many edges do 4 cubes have altogether? (a) 32 (b) 24 (c) 48 (d) 12
  22. 22.How many sides do 5 pentagons and 2 octagons have altogether? (a) 16 (b) 41 (c) 25 (d) 50
  23. 23.How many sides do 3 pentagons and 1 triangle have altogether? (a) 14 (b) 15 (c) 3 (d) 18
  24. 24.How many sides do 2 triangles and 2 octagons have altogether? (a) 6 (b) 22 (c) 16 (d) 4
  25. 25.How many sides do 3 triangles and 4 rectangles have altogether? (a) 9 (b) 24 (c) 25 (d) 16
  26. 26.How many sides do 5 hexagons and 5 octagons have altogether? (a) 30 (b) 70 (c) 10 (d) 40
  27. 27.How many corners do 5 triangles and 4 pentagons have altogether? (a) 35 (b) 37 (c) 15 (d) 20
  28. 28.How many sides do 5 rectangles and 4 hexagons have altogether? (a) 20 (b) 46 (c) 24 (d) 44
  29. 29.How many faces do 4 cubes have altogether? (a) 6 (b) 32 (c) 48 (d) 24
  30. 30.How many sides do 5 triangles and 2 octagons have altogether? (a) 31 (b) 46 (c) 15 (d) 16
  31. 31.How many sides do 3 triangles and 3 rectangles have altogether? (a) 12 (b) 21 (c) 6 (d) 9
  32. 32.How many corners do 5 octagons and 1 pentagon have altogether? (a) 40 (b) 33 (c) 45 (d) 5
  33. 33.How many corners do 2 pentagons and 1 triangle have altogether? (a) 11 (b) 3 (c) 13 (d) 10
  34. 34.How many sides do 1 rectangle and 5 hexagons have altogether? (a) 34 (b) 4 (c) 30 (d) 26
  35. 35.How many sides do 2 squares and 5 rectangles have altogether? (a) 20 (b) 7 (c) 8 (d) 28
  36. 36.How many sides do 3 triangles and 1 rectangle have altogether? (a) 15 (b) 13 (c) 9 (d) 4
  37. 37.How many edges do 5 cubes have altogether? (a) 30 (b) 60 (c) 40 (d) 12
  38. 38.How many corners do 3 squares and 5 pentagons have altogether? (a) 12 (b) 25 (c) 37 (d) 35
  39. 39.How many corners do 2 triangles and 5 rectangles have altogether? (a) 20 (b) 23 (c) 26 (d) 6
  40. 40.How many corners do 3 pentagons and 5 rectangles have altogether? (a) 20 (b) 35 (c) 37 (d) 15

Answer key

  1. 30
  2. 32
  3. 11
  4. 30
  5. 16
  6. 44
  7. 22
  8. 40
  9. 34
  10. 32
  11. 9
  12. 16
  13. 29
  14. 24
  15. 34
  16. 21
  17. 70
  18. 18
  19. 34
  20. 12
  21. 48
  22. 41
  23. 18
  24. 22
  25. 25
  26. 70
  27. 35
  28. 44
  29. 24
  30. 31
  31. 21
  32. 45
  33. 13
  34. 34
  35. 28
  36. 13
  37. 60
  38. 37
  39. 26
  40. 35

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