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Shapes Worksheet for Maths Olympiad Class 4

Maths Olympiad topic 6: Sides, corners and cubes · Set 112 · 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 corners do 4 octagons and 4 rectangles have altogether? (a) 8 (b) 16 (c) 48 (d) 32
  2. 2.How many corners do 5 squares and 3 octagons have altogether? (a) 24 (b) 44 (c) 20 (d) 52
  3. 3.How many sides do 3 octagons and 3 squares have altogether? (a) 24 (b) 36 (c) 6 (d) 12
  4. 4.How many corners do 2 squares and 1 pentagon have altogether? (a) 14 (b) 8 (c) 13 (d) 5
  5. 5.How many sides do 3 squares and 2 triangles have altogether? (a) 6 (b) 12 (c) 18 (d) 17
  6. 6.How many sides do 4 octagons and 2 rectangles have altogether? (a) 32 (b) 6 (c) 8 (d) 40
  7. 7.How many edges do 2 cubes have altogether? (a) 24 (b) 12 (c) 25 (d) 16
  8. 8.How many corners do 4 triangles and 1 octagon have altogether? (a) 8 (b) 20 (c) 12 (d) 35
  9. 9.How many sides do 5 triangles and 4 squares have altogether? (a) 32 (b) 16 (c) 31 (d) 15
  10. 10.How many sides do 1 rectangle and 1 pentagon have altogether? (a) 2 (b) 4 (c) 5 (d) 9
  11. 11.How many faces do 3 cubes have altogether? (a) 6 (b) 18 (c) 36 (d) 24
  12. 12.How many sides do 2 hexagons and 5 squares have altogether? (a) 32 (b) 12 (c) 20 (d) 38
  13. 13.How many sides do 2 hexagons and 1 triangle have altogether? (a) 15 (b) 3 (c) 12 (d) 16
  14. 14.How many sides do 2 hexagons and 1 rectangle have altogether? (a) 4 (b) 12 (c) 16 (d) 14
  15. 15.How many corners do 3 rectangles and 3 octagons have altogether? (a) 6 (b) 12 (c) 36 (d) 24
  16. 16.How many corners do 3 cubes have altogether? (a) 36 (b) 18 (c) 24 (d) 8
  17. 17.How many corners do 4 hexagons and 5 squares have altogether? (a) 24 (b) 44 (c) 46 (d) 20
  18. 18.How many sides do 1 hexagon and 1 triangle have altogether? (a) 2 (b) 6 (c) 3 (d) 9
  19. 19.How many sides do 1 rectangle and 1 square have altogether? (a) 2 (b) 9 (c) 8 (d) 4
  20. 20.How many sides do 2 triangles and 4 hexagons have altogether? (a) 6 (b) 31 (c) 24 (d) 30
  21. 21.How many corners do 5 octagons and 5 hexagons have altogether? (a) 30 (b) 40 (c) 70 (d) 10
  22. 22.How many faces do 2 cubes have altogether? (a) 24 (b) 12 (c) 6 (d) 16
  23. 23.How many sides do 5 rectangles and 2 octagons have altogether? (a) 48 (b) 20 (c) 36 (d) 16
  24. 24.How many sides do 4 pentagons and 4 octagons have altogether? (a) 20 (b) 52 (c) 32 (d) 8
  25. 25.How many corners do 1 triangle and 3 squares have altogether? (a) 3 (b) 12 (c) 13 (d) 15
  26. 26.How many edges do 5 cubes have altogether? (a) 12 (b) 40 (c) 30 (d) 60
  27. 27.How many corners do 3 hexagons and 3 pentagons have altogether? (a) 33 (b) 18 (c) 6 (d) 15
  28. 28.How many corners do 2 rectangles and 1 octagon have altogether? (a) 8 (b) 3 (c) 16 (d) 20
  29. 29.How many sides do 2 squares and 3 pentagons have altogether? (a) 22 (b) 15 (c) 23 (d) 8
  30. 30.How many corners do 5 triangles and 5 pentagons have altogether? (a) 25 (b) 10 (c) 40 (d) 15
  31. 31.How many sides do 4 rectangles and 2 octagons have altogether? (a) 6 (b) 40 (c) 16 (d) 32
  32. 32.How many edges do 3 cubes have altogether? (a) 18 (b) 24 (c) 12 (d) 36
  33. 33.How many sides do 5 pentagons and 2 squares have altogether? (a) 25 (b) 33 (c) 30 (d) 8
  34. 34.How many corners do 4 pentagons and 1 triangle have altogether? (a) 20 (b) 17 (c) 23 (d) 3
  35. 35.How many faces do 5 cubes have altogether? (a) 6 (b) 60 (c) 40 (d) 30
  36. 36.How many corners do 3 octagons and 3 triangles have altogether? (a) 9 (b) 24 (c) 6 (d) 33
  37. 37.How many sides do 2 squares and 5 rectangles have altogether? (a) 8 (b) 7 (c) 28 (d) 20
  38. 38.How many sides do 5 squares and 1 triangle have altogether? (a) 20 (b) 19 (c) 3 (d) 23
  39. 39.How many sides do 4 squares and 3 triangles have altogether? (a) 24 (b) 16 (c) 25 (d) 9
  40. 40.How many corners do 1 hexagon and 4 triangles have altogether? (a) 18 (b) 27 (c) 12 (d) 6

Answer key

  1. 48
  2. 44
  3. 36
  4. 13
  5. 18
  6. 40
  7. 24
  8. 20
  9. 31
  10. 9
  11. 18
  12. 32
  13. 15
  14. 16
  15. 36
  16. 24
  17. 44
  18. 9
  19. 8
  20. 30
  21. 70
  22. 12
  23. 36
  24. 52
  25. 15
  26. 60
  27. 33
  28. 16
  29. 23
  30. 40
  31. 32
  32. 36
  33. 33
  34. 23
  35. 30
  36. 33
  37. 28
  38. 23
  39. 25
  40. 18

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