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Shapes Worksheet for Maths Olympiad Class 4

Maths Olympiad topic 6: Sides, corners and cubes · Set 789 · 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.

NameDateTime takenScore ___ / 40
  1. 1.How many corners do 1 pentagon and 3 triangles have altogether? (a) 14 (b) 5 (c) 9 (d) 18
  2. 2.How many faces do 3 cubes have altogether? (a) 24 (b) 36 (c) 6 (d) 18
  3. 3.How many sides do 4 pentagons and 5 octagons have altogether? (a) 57 (b) 40 (c) 60 (d) 20
  4. 4.How many corners do 1 triangle and 1 square have altogether? (a) 4 (b) 3 (c) 2 (d) 7
  5. 5.How many corners do 2 triangles and 2 pentagons have altogether? (a) 10 (b) 16 (c) 4 (d) 6
  6. 6.How many sides do 3 squares and 1 hexagon have altogether? (a) 12 (b) 6 (c) 22 (d) 18
  7. 7.How many faces do 2 cubes have altogether? (a) 12 (b) 24 (c) 16 (d) 6
  8. 8.How many sides do 5 squares and 1 octagon have altogether? (a) 28 (b) 8 (c) 44 (d) 20
  9. 9.How many sides do 4 squares and 3 pentagons have altogether? (a) 16 (b) 15 (c) 32 (d) 31
  10. 10.How many faces do 5 cubes have altogether? (a) 30 (b) 6 (c) 40 (d) 60
  11. 11.How many edges do 5 cubes have altogether? (a) 30 (b) 40 (c) 60 (d) 12
  12. 12.How many sides do 1 pentagon and 3 triangles have altogether? (a) 18 (b) 9 (c) 14 (d) 5
  13. 13.How many sides do 2 rectangles and 4 triangles have altogether? (a) 8 (b) 20 (c) 22 (d) 12
  14. 14.How many corners do 3 cubes have altogether? (a) 18 (b) 8 (c) 36 (d) 24
  15. 15.How many corners do 4 octagons and 3 hexagons have altogether? (a) 32 (b) 48 (c) 18 (d) 50
  16. 16.How many edges do 3 cubes have altogether? (a) 36 (b) 12 (c) 18 (d) 24
  17. 17.How many corners do 3 squares and 5 octagons have altogether? (a) 12 (b) 40 (c) 44 (d) 52
  18. 18.How many corners do 1 pentagon and 2 squares have altogether? (a) 14 (b) 13 (c) 8 (d) 5
  19. 19.How many corners do 2 squares and 4 rectangles have altogether? (a) 24 (b) 6 (c) 8 (d) 16
  20. 20.How many faces do 4 cubes have altogether? (a) 6 (b) 32 (c) 24 (d) 48
  21. 21.How many corners do 3 squares and 1 hexagon have altogether? (a) 22 (b) 6 (c) 18 (d) 12
  22. 22.How many sides do 3 squares and 1 pentagon have altogether? (a) 12 (b) 19 (c) 5 (d) 17
  23. 23.How many sides do 4 octagons and 4 hexagons have altogether? (a) 32 (b) 24 (c) 8 (d) 56
  24. 24.How many sides do 4 rectangles and 2 squares have altogether? (a) 6 (b) 8 (c) 16 (d) 24
  25. 25.How many sides do 1 rectangle and 4 triangles have altogether? (a) 16 (b) 19 (c) 4 (d) 12
  26. 26.How many corners do 5 octagons and 1 rectangle have altogether? (a) 44 (b) 4 (c) 40 (d) 28
  27. 27.How many corners do 2 cubes have altogether? (a) 24 (b) 8 (c) 16 (d) 12
  28. 28.How many corners do 5 cubes have altogether? (a) 40 (b) 8 (c) 60 (d) 30
  29. 29.How many sides do 2 pentagons and 5 hexagons have altogether? (a) 10 (b) 30 (c) 37 (d) 40
  30. 30.How many corners do 3 squares and 5 triangles have altogether? (a) 29 (b) 15 (c) 12 (d) 27
  31. 31.How many corners do 5 pentagons and 3 triangles have altogether? (a) 9 (b) 25 (c) 34 (d) 30
  32. 32.How many edges do 2 cubes have altogether? (a) 25 (b) 24 (c) 12 (d) 16
  33. 33.How many sides do 4 squares and 3 octagons have altogether? (a) 24 (b) 44 (c) 16 (d) 40
  34. 34.How many sides do 1 rectangle and 1 triangle have altogether? (a) 2 (b) 3 (c) 4 (d) 7
  35. 35.How many corners do 3 pentagons and 1 square have altogether? (a) 19 (b) 15 (c) 4 (d) 17
  36. 36.How many edges do 4 cubes have altogether? (a) 12 (b) 24 (c) 32 (d) 48
  37. 37.How many sides do 5 octagons and 4 hexagons have altogether? (a) 40 (b) 62 (c) 64 (d) 24
  38. 38.How many sides do 4 rectangles and 4 octagons have altogether? (a) 8 (b) 16 (c) 48 (d) 32
  39. 39.How many sides do 3 pentagons and 4 squares have altogether? (a) 16 (b) 15 (c) 32 (d) 31
  40. 40.How many corners do 5 squares and 5 pentagons have altogether? (a) 45 (b) 20 (c) 25 (d) 10

Answer key

  1. 14
  2. 18
  3. 60
  4. 7
  5. 16
  6. 18
  7. 12
  8. 28
  9. 31
  10. 30
  11. 60
  12. 14
  13. 20
  14. 24
  15. 50
  16. 36
  17. 52
  18. 13
  19. 24
  20. 24
  21. 18
  22. 17
  23. 56
  24. 24
  25. 16
  26. 44
  27. 16
  28. 40
  29. 40
  30. 27
  31. 34
  32. 24
  33. 40
  34. 7
  35. 19
  36. 48
  37. 64
  38. 48
  39. 31
  40. 45

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