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Shapes Worksheet for Maths Olympiad Class 4

Maths Olympiad topic 6: Sides, corners and cubes · Set 22 · 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 sides do 5 triangles and 5 pentagons have altogether? (a) 40 (b) 25 (c) 15 (d) 10
  2. 2.How many sides do 1 octagon and 5 squares have altogether? (a) 20 (b) 28 (c) 8 (d) 44
  3. 3.How many corners do 2 pentagons and 3 rectangles have altogether? (a) 10 (b) 12 (c) 22 (d) 23
  4. 4.How many faces do 2 cubes have altogether? (a) 16 (b) 12 (c) 24 (d) 6
  5. 5.How many corners do 2 rectangles and 2 triangles have altogether? (a) 8 (b) 6 (c) 14 (d) 4
  6. 6.How many sides do 2 rectangles and 3 pentagons have altogether? (a) 8 (b) 15 (c) 22 (d) 23
  7. 7.How many sides do 1 hexagon and 5 rectangles have altogether? (a) 6 (b) 34 (c) 26 (d) 20
  8. 8.How many corners do 5 hexagons and 2 squares have altogether? (a) 30 (b) 8 (c) 32 (d) 38
  9. 9.How many corners do 4 cubes have altogether? (a) 8 (b) 48 (c) 24 (d) 32
  10. 10.How many corners do 5 octagons and 4 squares have altogether? (a) 40 (b) 16 (c) 56 (d) 52
  11. 11.How many edges do 2 cubes have altogether? (a) 25 (b) 12 (c) 24 (d) 16
  12. 12.How many corners do 5 cubes have altogether? (a) 40 (b) 60 (c) 30 (d) 8
  13. 13.How many corners do 4 triangles and 2 rectangles have altogether? (a) 12 (b) 20 (c) 22 (d) 8
  14. 14.How many sides do 3 squares and 5 pentagons have altogether? (a) 25 (b) 12 (c) 35 (d) 37
  15. 15.How many sides do 1 rectangle and 3 triangles have altogether? (a) 15 (b) 13 (c) 9 (d) 4
  16. 16.How many sides do 1 octagon and 4 squares have altogether? (a) 8 (b) 16 (c) 24 (d) 36
  17. 17.How many sides do 4 squares and 1 octagon have altogether? (a) 16 (b) 36 (c) 8 (d) 24
  18. 18.How many corners do 2 rectangles and 4 squares have altogether? (a) 6 (b) 16 (c) 24 (d) 8
  19. 19.How many sides do 3 squares and 2 hexagons have altogether? (a) 26 (b) 12 (c) 5 (d) 24
  20. 20.How many corners do 1 pentagon and 1 octagon have altogether? (a) 5 (b) 13 (c) 8 (d) 2
  21. 21.How many sides do 3 octagons and 4 triangles have altogether? (a) 41 (b) 36 (c) 24 (d) 12
  22. 22.How many sides do 5 rectangles and 2 squares have altogether? (a) 20 (b) 8 (c) 28 (d) 7
  23. 23.How many sides do 4 octagons and 3 hexagons have altogether? (a) 50 (b) 18 (c) 32 (d) 48
  24. 24.How many corners do 4 pentagons and 5 triangles have altogether? (a) 37 (b) 15 (c) 20 (d) 35
  25. 25.How many corners do 2 rectangles and 3 octagons have altogether? (a) 32 (b) 24 (c) 28 (d) 8
  26. 26.How many faces do 3 cubes have altogether? (a) 6 (b) 18 (c) 36 (d) 24
  27. 27.How many corners do 3 cubes have altogether? (a) 36 (b) 24 (c) 8 (d) 18
  28. 28.How many corners do 4 rectangles and 1 square have altogether? (a) 20 (b) 5 (c) 16 (d) 4
  29. 29.How many corners do 5 triangles and 4 hexagons have altogether? (a) 42 (b) 24 (c) 39 (d) 15
  30. 30.How many sides do 3 pentagons and 2 octagons have altogether? (a) 34 (b) 16 (c) 31 (d) 15
  31. 31.How many edges do 4 cubes have altogether? (a) 12 (b) 32 (c) 24 (d) 48
  32. 32.How many sides do 2 triangles and 5 pentagons have altogether? (a) 31 (b) 7 (c) 25 (d) 6
  33. 33.How many corners do 1 triangle and 1 pentagon have altogether? (a) 3 (b) 5 (c) 8 (d) 2
  34. 34.How many corners do 1 octagon and 3 triangles have altogether? (a) 8 (b) 27 (c) 9 (d) 17
  35. 35.How many sides do 3 octagons and 2 hexagons have altogether? (a) 34 (b) 24 (c) 12 (d) 36
  36. 36.How many corners do 5 pentagons and 3 rectangles have altogether? (a) 35 (b) 12 (c) 37 (d) 25
  37. 37.How many corners do 2 octagons and 5 rectangles have altogether? (a) 16 (b) 48 (c) 20 (d) 36
  38. 38.How many sides do 5 squares and 5 pentagons have altogether? (a) 25 (b) 20 (c) 10 (d) 45
  39. 39.How many faces do 4 cubes have altogether? (a) 24 (b) 6 (c) 48 (d) 32
  40. 40.How many corners do 3 triangles and 1 pentagon have altogether? (a) 5 (b) 18 (c) 14 (d) 9

Answer key

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

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