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Shapes Worksheet for Maths Olympiad Class 4

Maths Olympiad topic 6: Sides, corners and cubes · Set 137 · 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 faces do 2 cubes have altogether? (a) 16 (b) 24 (c) 12 (d) 6
  2. 2.How many sides do 3 rectangles and 2 squares have altogether? (a) 12 (b) 8 (c) 20 (d) 5
  3. 3.How many sides do 4 octagons and 1 rectangle have altogether? (a) 36 (b) 24 (c) 32 (d) 4
  4. 4.How many sides do 1 rectangle and 3 pentagons have altogether? (a) 17 (b) 19 (c) 4 (d) 15
  5. 5.How many corners do 2 pentagons and 3 squares have altogether? (a) 22 (b) 10 (c) 12 (d) 23
  6. 6.How many sides do 4 pentagons and 3 squares have altogether? (a) 31 (b) 20 (c) 12 (d) 32
  7. 7.How many corners do 5 octagons and 2 rectangles have altogether? (a) 40 (b) 8 (c) 36 (d) 48
  8. 8.How many corners do 5 squares and 3 rectangles have altogether? (a) 20 (b) 8 (c) 32 (d) 12
  9. 9.How many sides do 1 rectangle and 1 triangle have altogether? (a) 4 (b) 7 (c) 2 (d) 3
  10. 10.How many sides do 4 hexagons and 1 square have altogether? (a) 24 (b) 22 (c) 28 (d) 4
  11. 11.How many edges do 2 cubes have altogether? (a) 12 (b) 24 (c) 25 (d) 16
  12. 12.How many sides do 1 square and 2 rectangles have altogether? (a) 4 (b) 3 (c) 12 (d) 8
  13. 13.How many faces do 3 cubes have altogether? (a) 36 (b) 6 (c) 18 (d) 24
  14. 14.How many sides do 5 pentagons and 1 triangle have altogether? (a) 25 (b) 28 (c) 20 (d) 3
  15. 15.How many edges do 3 cubes have altogether? (a) 36 (b) 18 (c) 24 (d) 12
  16. 16.How many corners do 3 cubes have altogether? (a) 18 (b) 24 (c) 36 (d) 8
  17. 17.How many sides do 4 pentagons and 5 squares have altogether? (a) 9 (b) 40 (c) 41 (d) 20
  18. 18.How many corners do 5 rectangles and 3 octagons have altogether? (a) 20 (b) 52 (c) 44 (d) 24
  19. 19.How many sides do 5 triangles and 1 pentagon have altogether? (a) 28 (b) 5 (c) 15 (d) 20
  20. 20.How many corners do 4 triangles and 1 octagon have altogether? (a) 8 (b) 20 (c) 35 (d) 12
  21. 21.How many edges do 4 cubes have altogether? (a) 32 (b) 24 (c) 48 (d) 12
  22. 22.How many edges do 5 cubes have altogether? (a) 30 (b) 60 (c) 12 (d) 40
  23. 23.How many sides do 1 triangle and 3 octagons have altogether? (a) 3 (b) 24 (c) 17 (d) 27
  24. 24.How many sides do 5 octagons and 5 squares have altogether? (a) 60 (b) 40 (c) 10 (d) 20
  25. 25.How many sides do 1 pentagon and 3 triangles have altogether? (a) 14 (b) 9 (c) 5 (d) 18
  26. 26.How many sides do 1 octagon and 1 square have altogether? (a) 4 (b) 12 (c) 2 (d) 8
  27. 27.How many sides do 2 triangles and 4 rectangles have altogether? (a) 6 (b) 22 (c) 20 (d) 16
  28. 28.How many corners do 5 cubes have altogether? (a) 40 (b) 60 (c) 30 (d) 8
  29. 29.How many sides do 1 octagon and 5 rectangles have altogether? (a) 20 (b) 8 (c) 28 (d) 44
  30. 30.How many corners do 4 rectangles and 3 octagons have altogether? (a) 40 (b) 44 (c) 24 (d) 16
  31. 31.How many sides do 1 triangle and 1 pentagon have altogether? (a) 5 (b) 3 (c) 2 (d) 8
  32. 32.How many sides do 3 octagons and 2 triangles have altogether? (a) 25 (b) 30 (c) 24 (d) 6
  33. 33.How many corners do 2 hexagons and 2 octagons have altogether? (a) 4 (b) 12 (c) 16 (d) 28
  34. 34.How many sides do 4 triangles and 1 pentagon have altogether? (a) 17 (b) 23 (c) 12 (d) 5
  35. 35.How many sides do 4 octagons and 2 hexagons have altogether? (a) 12 (b) 32 (c) 44 (d) 40
  36. 36.How many sides do 3 hexagons and 5 rectangles have altogether? (a) 18 (b) 38 (c) 20 (d) 42
  37. 37.How many corners do 5 pentagons and 1 triangle have altogether? (a) 3 (b) 28 (c) 20 (d) 25
  38. 38.How many corners do 4 rectangles and 1 triangle have altogether? (a) 16 (b) 5 (c) 19 (d) 3
  39. 39.How many sides do 1 pentagon and 2 triangles have altogether? (a) 11 (b) 6 (c) 13 (d) 5
  40. 40.How many corners do 1 pentagon and 4 triangles have altogether? (a) 12 (b) 17 (c) 5 (d) 23

Answer key

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

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