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Shapes Worksheet for Maths Olympiad Class 4

Maths Olympiad topic 6: Sides, corners and cubes · Set 415 · 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 squares have altogether? (a) 32 (b) 40 (c) 44 (d) 12
  2. 2.How many corners do 3 triangles and 5 squares have altogether? (a) 29 (b) 27 (c) 9 (d) 20
  3. 3.How many sides do 5 octagons and 1 triangle have altogether? (a) 23 (b) 43 (c) 3 (d) 40
  4. 4.How many corners do 4 hexagons and 4 triangles have altogether? (a) 24 (b) 12 (c) 8 (d) 36
  5. 5.How many edges do 2 cubes have altogether? (a) 25 (b) 16 (c) 24 (d) 12
  6. 6.How many sides do 3 squares and 3 hexagons have altogether? (a) 18 (b) 30 (c) 6 (d) 12
  7. 7.How many edges do 3 cubes have altogether? (a) 24 (b) 12 (c) 18 (d) 36
  8. 8.How many corners do 5 hexagons and 5 triangles have altogether? (a) 30 (b) 45 (c) 10 (d) 15
  9. 9.How many faces do 4 cubes have altogether? (a) 24 (b) 6 (c) 48 (d) 32
  10. 10.How many corners do 4 triangles and 5 octagons have altogether? (a) 47 (b) 40 (c) 12 (d) 52
  11. 11.How many sides do 5 octagons and 1 rectangle have altogether? (a) 44 (b) 40 (c) 28 (d) 4
  12. 12.How many faces do 2 cubes have altogether? (a) 16 (b) 12 (c) 6 (d) 24
  13. 13.How many corners do 2 cubes have altogether? (a) 12 (b) 16 (c) 24 (d) 8
  14. 14.How many edges do 5 cubes have altogether? (a) 40 (b) 30 (c) 12 (d) 60
  15. 15.How many corners do 3 pentagons and 1 square have altogether? (a) 17 (b) 19 (c) 4 (d) 15
  16. 16.How many faces do 3 cubes have altogether? (a) 18 (b) 6 (c) 24 (d) 36
  17. 17.How many corners do 1 rectangle and 1 pentagon have altogether? (a) 5 (b) 9 (c) 4 (d) 2
  18. 18.How many corners do 2 pentagons and 5 octagons have altogether? (a) 41 (b) 40 (c) 10 (d) 50
  19. 19.How many sides do 1 rectangle and 1 square have altogether? (a) 4 (b) 2 (c) 9 (d) 8
  20. 20.How many edges do 4 cubes have altogether? (a) 24 (b) 48 (c) 32 (d) 12
  21. 21.How many corners do 5 squares and 1 octagon have altogether? (a) 20 (b) 28 (c) 44 (d) 8
  22. 22.How many sides do 2 octagons and 2 hexagons have altogether? (a) 28 (b) 12 (c) 16 (d) 4
  23. 23.How many corners do 3 hexagons and 4 triangles have altogether? (a) 18 (b) 33 (c) 12 (d) 30
  24. 24.How many sides do 5 triangles and 1 hexagon have altogether? (a) 15 (b) 21 (c) 6 (d) 33
  25. 25.How many sides do 2 hexagons and 3 octagons have altogether? (a) 34 (b) 12 (c) 36 (d) 24
  26. 26.How many sides do 5 octagons and 2 triangles have altogether? (a) 46 (b) 6 (c) 31 (d) 40
  27. 27.How many corners do 4 cubes have altogether? (a) 24 (b) 8 (c) 32 (d) 48
  28. 28.How many faces do 5 cubes have altogether? (a) 60 (b) 6 (c) 30 (d) 40
  29. 29.How many sides do 3 triangles and 2 squares have altogether? (a) 17 (b) 8 (c) 9 (d) 18
  30. 30.How many corners do 3 rectangles and 5 hexagons have altogether? (a) 12 (b) 30 (c) 38 (d) 42
  31. 31.How many corners do 2 rectangles and 1 square have altogether? (a) 4 (b) 3 (c) 12 (d) 8
  32. 32.How many corners do 4 squares and 4 hexagons have altogether? (a) 8 (b) 16 (c) 40 (d) 24
  33. 33.How many corners do 4 octagons and 5 rectangles have altogether? (a) 20 (b) 52 (c) 32 (d) 56
  34. 34.How many corners do 2 rectangles and 4 triangles have altogether? (a) 12 (b) 8 (c) 22 (d) 20
  35. 35.How many corners do 2 pentagons and 2 rectangles have altogether? (a) 10 (b) 8 (c) 4 (d) 18
  36. 36.How many sides do 3 hexagons and 4 triangles have altogether? (a) 12 (b) 18 (c) 33 (d) 30
  37. 37.How many sides do 1 octagon and 5 squares have altogether? (a) 8 (b) 28 (c) 20 (d) 44
  38. 38.How many sides do 1 pentagon and 4 octagons have altogether? (a) 28 (b) 32 (c) 37 (d) 5
  39. 39.How many sides do 4 triangles and 1 octagon have altogether? (a) 8 (b) 20 (c) 12 (d) 35
  40. 40.How many sides do 4 rectangles and 5 octagons have altogether? (a) 56 (b) 52 (c) 16 (d) 40

Answer key

  1. 44
  2. 29
  3. 43
  4. 36
  5. 24
  6. 30
  7. 36
  8. 45
  9. 24
  10. 52
  11. 44
  12. 12
  13. 16
  14. 60
  15. 19
  16. 18
  17. 9
  18. 50
  19. 8
  20. 48
  21. 28
  22. 28
  23. 30
  24. 21
  25. 36
  26. 46
  27. 32
  28. 30
  29. 17
  30. 42
  31. 12
  32. 40
  33. 52
  34. 20
  35. 18
  36. 30
  37. 28
  38. 37
  39. 20
  40. 56

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