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Shapes Worksheet for Maths Olympiad Class 4

Maths Olympiad topic 6: Sides, corners and cubes · Set 47 · 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 4 octagons and 3 rectangles have altogether? (a) 12 (b) 40 (c) 44 (d) 32
  2. 2.How many edges do 3 cubes have altogether? (a) 24 (b) 36 (c) 12 (d) 18
  3. 3.How many corners do 1 octagon and 4 triangles have altogether? (a) 20 (b) 12 (c) 8 (d) 35
  4. 4.How many corners do 1 rectangle and 3 octagons have altogether? (a) 24 (b) 4 (c) 28 (d) 20
  5. 5.How many sides do 1 square and 4 octagons have altogether? (a) 4 (b) 24 (c) 32 (d) 36
  6. 6.How many corners do 1 hexagon and 3 triangles have altogether? (a) 21 (b) 6 (c) 9 (d) 15
  7. 7.How many corners do 2 hexagons and 2 pentagons have altogether? (a) 22 (b) 10 (c) 4 (d) 12
  8. 8.How many sides do 5 pentagons and 5 triangles have altogether? (a) 10 (b) 25 (c) 40 (d) 15
  9. 9.How many sides do 3 rectangles and 3 squares have altogether? (a) 6 (b) 25 (c) 24 (d) 12
  10. 10.How many sides do 1 pentagon and 4 squares have altogether? (a) 24 (b) 5 (c) 16 (d) 21
  11. 11.How many sides do 5 pentagons and 4 rectangles have altogether? (a) 40 (b) 16 (c) 25 (d) 41
  12. 12.How many sides do 2 octagons and 5 rectangles have altogether? (a) 20 (b) 16 (c) 48 (d) 36
  13. 13.How many edges do 2 cubes have altogether? (a) 12 (b) 24 (c) 25 (d) 16
  14. 14.How many corners do 1 octagon and 1 triangle have altogether? (a) 11 (b) 2 (c) 8 (d) 3
  15. 15.How many corners do 4 squares and 4 octagons have altogether? (a) 8 (b) 16 (c) 32 (d) 48
  16. 16.How many corners do 4 squares and 5 triangles have altogether? (a) 32 (b) 16 (c) 15 (d) 31
  17. 17.How many sides do 2 pentagons and 1 triangle have altogether? (a) 3 (b) 11 (c) 10 (d) 13
  18. 18.How many sides do 2 triangles and 4 rectangles have altogether? (a) 6 (b) 16 (c) 22 (d) 20
  19. 19.How many corners do 2 triangles and 3 pentagons have altogether? (a) 6 (b) 21 (c) 15 (d) 19
  20. 20.How many corners do 2 triangles and 1 square have altogether? (a) 4 (b) 10 (c) 6 (d) 11
  21. 21.How many sides do 3 octagons and 1 rectangle have altogether? (a) 24 (b) 20 (c) 4 (d) 28
  22. 22.How many sides do 4 triangles and 5 pentagons have altogether? (a) 35 (b) 25 (c) 12 (d) 37
  23. 23.How many corners do 3 cubes have altogether? (a) 36 (b) 18 (c) 8 (d) 24
  24. 24.How many sides do 1 hexagon and 1 pentagon have altogether? (a) 6 (b) 11 (c) 5 (d) 2
  25. 25.How many sides do 5 octagons and 3 squares have altogether? (a) 52 (b) 40 (c) 44 (d) 12
  26. 26.How many sides do 4 octagons and 4 pentagons have altogether? (a) 20 (b) 8 (c) 32 (d) 52
  27. 27.How many corners do 2 pentagons and 1 rectangle have altogether? (a) 14 (b) 4 (c) 10 (d) 13
  28. 28.How many sides do 4 pentagons and 2 squares have altogether? (a) 28 (b) 20 (c) 8 (d) 26
  29. 29.How many sides do 3 triangles and 5 rectangles have altogether? (a) 9 (b) 27 (c) 29 (d) 20
  30. 30.How many faces do 3 cubes have altogether? (a) 36 (b) 6 (c) 24 (d) 18
  31. 31.How many corners do 2 hexagons and 5 rectangles have altogether? (a) 20 (b) 32 (c) 12 (d) 38
  32. 32.How many sides do 3 octagons and 2 pentagons have altogether? (a) 34 (b) 10 (c) 24 (d) 31
  33. 33.How many sides do 2 octagons and 3 squares have altogether? (a) 16 (b) 32 (c) 12 (d) 28
  34. 34.How many corners do 4 squares and 3 octagons have altogether? (a) 40 (b) 16 (c) 44 (d) 24
  35. 35.How many sides do 3 pentagons and 2 triangles have altogether? (a) 6 (b) 21 (c) 19 (d) 15
  36. 36.How many sides do 3 triangles and 5 octagons have altogether? (a) 39 (b) 9 (c) 49 (d) 40
  37. 37.How many corners do 2 rectangles and 5 triangles have altogether? (a) 26 (b) 8 (c) 15 (d) 23
  38. 38.How many sides do 2 rectangles and 5 pentagons have altogether? (a) 8 (b) 25 (c) 33 (d) 30
  39. 39.How many faces do 4 cubes have altogether? (a) 32 (b) 48 (c) 24 (d) 6
  40. 40.How many sides do 1 square and 2 octagons have altogether? (a) 16 (b) 4 (c) 20 (d) 3

Answer key

  1. 44
  2. 36
  3. 20
  4. 28
  5. 36
  6. 15
  7. 22
  8. 40
  9. 24
  10. 21
  11. 41
  12. 36
  13. 24
  14. 11
  15. 48
  16. 31
  17. 13
  18. 22
  19. 21
  20. 10
  21. 28
  22. 37
  23. 24
  24. 11
  25. 52
  26. 52
  27. 14
  28. 28
  29. 29
  30. 18
  31. 32
  32. 34
  33. 28
  34. 40
  35. 21
  36. 49
  37. 23
  38. 33
  39. 24
  40. 20

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