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Shapes Worksheet for Maths Olympiad Class 4

Maths Olympiad topic 6: Sides, corners and cubes · Set 675 · 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 3 rectangles and 3 octagons have altogether? (a) 12 (b) 24 (c) 36 (d) 6
  2. 2.How many sides do 3 squares and 1 octagon have altogether? (a) 8 (b) 20 (c) 28 (d) 12
  3. 3.How many corners do 2 cubes have altogether? (a) 24 (b) 16 (c) 12 (d) 8
  4. 4.How many corners do 2 triangles and 4 squares have altogether? (a) 20 (b) 6 (c) 22 (d) 16
  5. 5.How many corners do 5 octagons and 1 hexagon have altogether? (a) 6 (b) 40 (c) 46 (d) 38
  6. 6.How many sides do 5 pentagons and 2 triangles have altogether? (a) 31 (b) 25 (c) 7 (d) 6
  7. 7.How many sides do 3 octagons and 5 rectangles have altogether? (a) 24 (b) 20 (c) 52 (d) 44
  8. 8.How many corners do 2 pentagons and 2 triangles have altogether? (a) 10 (b) 6 (c) 16 (d) 4
  9. 9.How many sides do 4 triangles and 5 rectangles have altogether? (a) 32 (b) 20 (c) 31 (d) 12
  10. 10.How many sides do 5 rectangles and 5 squares have altogether? (a) 10 (b) 20 (c) 40 (d) 41
  11. 11.How many sides do 4 squares and 4 hexagons have altogether? (a) 24 (b) 8 (c) 16 (d) 40
  12. 12.How many corners do 1 triangle and 3 pentagons have altogether? (a) 3 (b) 15 (c) 14 (d) 18
  13. 13.How many sides do 4 triangles and 4 hexagons have altogether? (a) 24 (b) 12 (c) 8 (d) 36
  14. 14.How many corners do 1 hexagon and 1 triangle have altogether? (a) 2 (b) 9 (c) 6 (d) 3
  15. 15.How many faces do 2 cubes have altogether? (a) 24 (b) 16 (c) 6 (d) 12
  16. 16.How many edges do 3 cubes have altogether? (a) 36 (b) 12 (c) 18 (d) 24
  17. 17.How many edges do 2 cubes have altogether? (a) 16 (b) 24 (c) 12 (d) 25
  18. 18.How many corners do 5 squares and 5 octagons have altogether? (a) 20 (b) 40 (c) 10 (d) 60
  19. 19.How many corners do 1 rectangle and 2 octagons have altogether? (a) 4 (b) 3 (c) 20 (d) 16
  20. 20.How many corners do 1 pentagon and 1 triangle have altogether? (a) 2 (b) 3 (c) 8 (d) 5
  21. 21.How many corners do 4 cubes have altogether? (a) 8 (b) 32 (c) 48 (d) 24
  22. 22.How many sides do 2 pentagons and 4 hexagons have altogether? (a) 32 (b) 10 (c) 34 (d) 24
  23. 23.How many faces do 5 cubes have altogether? (a) 30 (b) 60 (c) 6 (d) 40
  24. 24.How many corners do 1 octagon and 1 triangle have altogether? (a) 8 (b) 2 (c) 3 (d) 11
  25. 25.How many corners do 3 cubes have altogether? (a) 36 (b) 18 (c) 24 (d) 8
  26. 26.How many sides do 2 rectangles and 4 octagons have altogether? (a) 32 (b) 6 (c) 8 (d) 40
  27. 27.How many sides do 1 octagon and 1 rectangle have altogether? (a) 12 (b) 4 (c) 8 (d) 2
  28. 28.How many edges do 4 cubes have altogether? (a) 32 (b) 24 (c) 12 (d) 48
  29. 29.How many sides do 4 triangles and 2 octagons have altogether? (a) 12 (b) 16 (c) 28 (d) 38
  30. 30.How many sides do 4 hexagons and 5 squares have altogether? (a) 46 (b) 24 (c) 20 (d) 44
  31. 31.How many faces do 3 cubes have altogether? (a) 24 (b) 18 (c) 6 (d) 36
  32. 32.How many faces do 4 cubes have altogether? (a) 32 (b) 48 (c) 6 (d) 24
  33. 33.How many corners do 3 triangles and 3 pentagons have altogether? (a) 9 (b) 6 (c) 15 (d) 24
  34. 34.How many sides do 1 triangle and 1 rectangle have altogether? (a) 7 (b) 3 (c) 2 (d) 4
  35. 35.How many sides do 2 hexagons and 3 pentagons have altogether? (a) 27 (b) 15 (c) 12 (d) 28
  36. 36.How many edges do 5 cubes have altogether? (a) 12 (b) 40 (c) 60 (d) 30
  37. 37.How many corners do 4 hexagons and 4 squares have altogether? (a) 16 (b) 24 (c) 40 (d) 8
  38. 38.How many sides do 1 octagon and 1 square have altogether? (a) 2 (b) 4 (c) 12 (d) 8
  39. 39.How many corners do 4 pentagons and 2 rectangles have altogether? (a) 8 (b) 28 (c) 20 (d) 26
  40. 40.How many sides do 5 octagons and 1 square have altogether? (a) 44 (b) 4 (c) 28 (d) 40

Answer key

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

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