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Shapes Worksheet for Maths Olympiad Class 4

Maths Olympiad topic 6: Sides, corners and cubes · Set 70 · 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 1 rectangle and 1 triangle have altogether? (a) 2 (b) 3 (c) 7 (d) 4
  2. 2.How many sides do 4 pentagons and 3 rectangles have altogether? (a) 12 (b) 31 (c) 32 (d) 20
  3. 3.How many sides do 4 octagons and 5 triangles have altogether? (a) 52 (b) 32 (c) 15 (d) 47
  4. 4.How many edges do 5 cubes have altogether? (a) 30 (b) 12 (c) 60 (d) 40
  5. 5.How many sides do 1 square and 5 triangles have altogether? (a) 15 (b) 4 (c) 23 (d) 19
  6. 6.How many corners do 1 octagon and 4 squares have altogether? (a) 8 (b) 36 (c) 16 (d) 24
  7. 7.How many faces do 3 cubes have altogether? (a) 24 (b) 18 (c) 36 (d) 6
  8. 8.How many corners do 5 triangles and 2 pentagons have altogether? (a) 15 (b) 10 (c) 25 (d) 31
  9. 9.How many sides do 5 pentagons and 3 squares have altogether? (a) 25 (b) 37 (c) 35 (d) 12
  10. 10.How many corners do 3 cubes have altogether? (a) 18 (b) 24 (c) 8 (d) 36
  11. 11.How many sides do 1 octagon and 4 triangles have altogether? (a) 20 (b) 8 (c) 35 (d) 12
  12. 12.How many corners do 1 octagon and 1 rectangle have altogether? (a) 2 (b) 12 (c) 8 (d) 4
  13. 13.How many corners do 2 cubes have altogether? (a) 24 (b) 12 (c) 16 (d) 8
  14. 14.How many corners do 5 pentagons and 2 squares have altogether? (a) 33 (b) 30 (c) 25 (d) 8
  15. 15.How many sides do 5 triangles and 2 octagons have altogether? (a) 31 (b) 46 (c) 16 (d) 15
  16. 16.How many sides do 1 octagon and 3 squares have altogether? (a) 20 (b) 12 (c) 8 (d) 28
  17. 17.How many sides do 2 hexagons and 2 octagons have altogether? (a) 12 (b) 28 (c) 4 (d) 16
  18. 18.How many sides do 4 octagons and 3 triangles have altogether? (a) 41 (b) 36 (c) 32 (d) 9
  19. 19.How many sides do 5 squares and 3 octagons have altogether? (a) 52 (b) 24 (c) 44 (d) 20
  20. 20.How many corners do 1 rectangle and 3 pentagons have altogether? (a) 15 (b) 17 (c) 19 (d) 4
  21. 21.How many sides do 2 pentagons and 4 squares have altogether? (a) 16 (b) 10 (c) 28 (d) 26
  22. 22.How many corners do 4 squares and 4 pentagons have altogether? (a) 16 (b) 8 (c) 20 (d) 36
  23. 23.How many faces do 2 cubes have altogether? (a) 24 (b) 6 (c) 16 (d) 12
  24. 24.How many corners do 3 pentagons and 4 hexagons have altogether? (a) 24 (b) 15 (c) 39 (d) 38
  25. 25.How many sides do 1 square and 4 octagons have altogether? (a) 24 (b) 32 (c) 36 (d) 4
  26. 26.How many corners do 5 octagons and 4 rectangles have altogether? (a) 40 (b) 56 (c) 52 (d) 16
  27. 27.How many sides do 4 triangles and 1 rectangle have altogether? (a) 16 (b) 19 (c) 4 (d) 12
  28. 28.How many sides do 2 squares and 1 triangle have altogether? (a) 10 (b) 3 (c) 8 (d) 11
  29. 29.How many edges do 4 cubes have altogether? (a) 12 (b) 24 (c) 48 (d) 32
  30. 30.How many sides do 1 rectangle and 1 square have altogether? (a) 2 (b) 9 (c) 8 (d) 4
  31. 31.How many sides do 4 pentagons and 4 triangles have altogether? (a) 8 (b) 20 (c) 12 (d) 32
  32. 32.How many sides do 5 pentagons and 3 octagons have altogether? (a) 55 (b) 25 (c) 49 (d) 24
  33. 33.How many corners do 1 rectangle and 4 hexagons have altogether? (a) 4 (b) 22 (c) 28 (d) 24
  34. 34.How many sides do 5 hexagons and 1 pentagon have altogether? (a) 30 (b) 31 (c) 5 (d) 35
  35. 35.How many corners do 5 cubes have altogether? (a) 40 (b) 60 (c) 30 (d) 8
  36. 36.How many sides do 3 hexagons and 4 squares have altogether? (a) 16 (b) 18 (c) 34 (d) 36
  37. 37.How many edges do 2 cubes have altogether? (a) 16 (b) 12 (c) 24 (d) 25
  38. 38.How many edges do 3 cubes have altogether? (a) 18 (b) 24 (c) 36 (d) 12
  39. 39.How many sides do 2 squares and 5 triangles have altogether? (a) 8 (b) 23 (c) 26 (d) 15
  40. 40.How many corners do 5 triangles and 2 rectangles have altogether? (a) 15 (b) 26 (c) 8 (d) 23

Answer key

  1. 7
  2. 32
  3. 47
  4. 60
  5. 19
  6. 24
  7. 18
  8. 25
  9. 37
  10. 24
  11. 20
  12. 12
  13. 16
  14. 33
  15. 31
  16. 20
  17. 28
  18. 41
  19. 44
  20. 19
  21. 26
  22. 36
  23. 12
  24. 39
  25. 36
  26. 56
  27. 16
  28. 11
  29. 48
  30. 8
  31. 32
  32. 49
  33. 28
  34. 35
  35. 40
  36. 34
  37. 24
  38. 36
  39. 23
  40. 23

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