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Shapes Worksheet for Maths Olympiad Class 4

Maths Olympiad topic 6: Sides, corners and cubes · Set 38 · 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 hexagons and 5 octagons have altogether? (a) 12 (b) 52 (c) 46 (d) 40
  2. 2.How many corners do 4 octagons and 5 triangles have altogether? (a) 15 (b) 32 (c) 47 (d) 52
  3. 3.How many corners do 2 cubes have altogether? (a) 12 (b) 8 (c) 24 (d) 16
  4. 4.How many sides do 1 triangle and 1 pentagon have altogether? (a) 3 (b) 5 (c) 2 (d) 8
  5. 5.How many corners do 5 cubes have altogether? (a) 60 (b) 8 (c) 30 (d) 40
  6. 6.How many sides do 2 rectangles and 2 triangles have altogether? (a) 14 (b) 8 (c) 6 (d) 4
  7. 7.How many sides do 5 octagons and 2 squares have altogether? (a) 8 (b) 48 (c) 36 (d) 40
  8. 8.How many corners do 3 cubes have altogether? (a) 8 (b) 18 (c) 36 (d) 24
  9. 9.How many edges do 3 cubes have altogether? (a) 24 (b) 36 (c) 18 (d) 12
  10. 10.How many corners do 2 squares and 2 octagons have altogether? (a) 4 (b) 8 (c) 24 (d) 16
  11. 11.How many corners do 4 octagons and 2 rectangles have altogether? (a) 8 (b) 6 (c) 40 (d) 32
  12. 12.How many sides do 5 squares and 2 rectangles have altogether? (a) 7 (b) 28 (c) 8 (d) 20
  13. 13.How many corners do 3 triangles and 3 pentagons have altogether? (a) 24 (b) 9 (c) 6 (d) 15
  14. 14.How many corners do 4 squares and 2 triangles have altogether? (a) 16 (b) 6 (c) 22 (d) 20
  15. 15.How many sides do 3 pentagons and 1 octagon have altogether? (a) 29 (b) 8 (c) 15 (d) 23
  16. 16.How many corners do 1 pentagon and 4 triangles have altogether? (a) 12 (b) 23 (c) 17 (d) 5
  17. 17.How many sides do 2 octagons and 5 hexagons have altogether? (a) 46 (b) 16 (c) 30 (d) 52
  18. 18.How many sides do 1 square and 5 pentagons have altogether? (a) 4 (b) 25 (c) 29 (d) 6
  19. 19.How many faces do 4 cubes have altogether? (a) 6 (b) 32 (c) 24 (d) 48
  20. 20.How many edges do 5 cubes have altogether? (a) 40 (b) 30 (c) 60 (d) 12
  21. 21.How many corners do 1 pentagon and 1 square have altogether? (a) 2 (b) 4 (c) 9 (d) 5
  22. 22.How many corners do 5 hexagons and 5 squares have altogether? (a) 10 (b) 50 (c) 30 (d) 20
  23. 23.How many corners do 5 rectangles and 4 hexagons have altogether? (a) 24 (b) 44 (c) 46 (d) 20
  24. 24.How many corners do 2 pentagons and 5 octagons have altogether? (a) 10 (b) 40 (c) 41 (d) 50
  25. 25.How many sides do 3 squares and 1 rectangle have altogether? (a) 12 (b) 17 (c) 16 (d) 4
  26. 26.How many corners do 5 squares and 5 triangles have altogether? (a) 20 (b) 35 (c) 10 (d) 15
  27. 27.How many sides do 5 pentagons and 1 square have altogether? (a) 4 (b) 6 (c) 29 (d) 25
  28. 28.How many corners do 3 octagons and 4 hexagons have altogether? (a) 50 (b) 7 (c) 24 (d) 48
  29. 29.How many faces do 2 cubes have altogether? (a) 24 (b) 12 (c) 6 (d) 16
  30. 30.How many faces do 5 cubes have altogether? (a) 30 (b) 6 (c) 40 (d) 60
  31. 31.How many corners do 5 octagons and 1 square have altogether? (a) 28 (b) 4 (c) 44 (d) 40
  32. 32.How many sides do 3 squares and 3 pentagons have altogether? (a) 27 (b) 6 (c) 12 (d) 15
  33. 33.How many corners do 4 rectangles and 5 hexagons have altogether? (a) 30 (b) 46 (c) 44 (d) 16
  34. 34.How many sides do 3 triangles and 4 octagons have altogether? (a) 32 (b) 9 (c) 36 (d) 41
  35. 35.How many sides do 2 triangles and 5 octagons have altogether? (a) 40 (b) 31 (c) 46 (d) 6
  36. 36.How many sides do 3 octagons and 4 squares have altogether? (a) 24 (b) 44 (c) 16 (d) 40
  37. 37.How many corners do 5 squares and 1 pentagon have altogether? (a) 20 (b) 5 (c) 29 (d) 25
  38. 38.How many corners do 3 squares and 3 rectangles have altogether? (a) 25 (b) 6 (c) 12 (d) 24
  39. 39.How many corners do 4 hexagons and 5 rectangles have altogether? (a) 44 (b) 24 (c) 20 (d) 46
  40. 40.How many sides do 1 hexagon and 1 square have altogether? (a) 6 (b) 2 (c) 10 (d) 4

Answer key

  1. 52
  2. 47
  3. 16
  4. 8
  5. 40
  6. 14
  7. 48
  8. 24
  9. 36
  10. 24
  11. 40
  12. 28
  13. 24
  14. 22
  15. 23
  16. 17
  17. 46
  18. 29
  19. 24
  20. 60
  21. 9
  22. 50
  23. 44
  24. 50
  25. 16
  26. 35
  27. 29
  28. 48
  29. 12
  30. 30
  31. 44
  32. 27
  33. 46
  34. 41
  35. 46
  36. 40
  37. 25
  38. 24
  39. 44
  40. 10

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