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Shapes Worksheet for Maths Olympiad Class 4

Maths Olympiad topic 6: Sides, corners and cubes · Set 68 · 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 1 rectangle and 1 hexagon have altogether? (a) 4 (b) 10 (c) 2 (d) 6
  2. 2.How many corners do 2 triangles and 5 pentagons have altogether? (a) 25 (b) 31 (c) 7 (d) 6
  3. 3.How many corners do 5 squares and 1 triangle have altogether? (a) 20 (b) 23 (c) 19 (d) 3
  4. 4.How many sides do 5 triangles and 2 octagons have altogether? (a) 16 (b) 46 (c) 31 (d) 15
  5. 5.How many sides do 2 triangles and 4 squares have altogether? (a) 22 (b) 16 (c) 20 (d) 6
  6. 6.How many sides do 3 hexagons and 1 triangle have altogether? (a) 21 (b) 18 (c) 3 (d) 15
  7. 7.How many sides do 3 octagons and 5 triangles have altogether? (a) 15 (b) 24 (c) 49 (d) 39
  8. 8.How many corners do 1 octagon and 1 pentagon have altogether? (a) 2 (b) 13 (c) 5 (d) 8
  9. 9.How many faces do 3 cubes have altogether? (a) 6 (b) 36 (c) 24 (d) 18
  10. 10.How many sides do 1 square and 1 pentagon have altogether? (a) 4 (b) 2 (c) 9 (d) 5
  11. 11.How many sides do 1 pentagon and 2 triangles have altogether? (a) 5 (b) 13 (c) 6 (d) 11
  12. 12.How many sides do 4 octagons and 5 hexagons have altogether? (a) 32 (b) 64 (c) 30 (d) 62
  13. 13.How many corners do 1 pentagon and 1 hexagon have altogether? (a) 11 (b) 5 (c) 2 (d) 6
  14. 14.How many sides do 1 rectangle and 3 triangles have altogether? (a) 13 (b) 4 (c) 15 (d) 9
  15. 15.How many corners do 5 squares and 1 octagon have altogether? (a) 8 (b) 44 (c) 20 (d) 28
  16. 16.How many corners do 5 pentagons and 5 squares have altogether? (a) 45 (b) 20 (c) 25 (d) 10
  17. 17.How many corners do 3 cubes have altogether? (a) 36 (b) 24 (c) 18 (d) 8
  18. 18.How many corners do 4 triangles and 1 square have altogether? (a) 12 (b) 19 (c) 4 (d) 16
  19. 19.How many corners do 2 hexagons and 3 pentagons have altogether? (a) 27 (b) 12 (c) 28 (d) 15
  20. 20.How many sides do 1 hexagon and 5 rectangles have altogether? (a) 6 (b) 20 (c) 34 (d) 26
  21. 21.How many sides do 5 hexagons and 4 triangles have altogether? (a) 39 (b) 30 (c) 42 (d) 12
  22. 22.How many corners do 1 triangle and 2 hexagons have altogether? (a) 3 (b) 15 (c) 16 (d) 12
  23. 23.How many sides do 3 rectangles and 2 pentagons have altogether? (a) 22 (b) 12 (c) 23 (d) 10
  24. 24.How many faces do 4 cubes have altogether? (a) 48 (b) 6 (c) 24 (d) 32
  25. 25.How many sides do 1 rectangle and 4 squares have altogether? (a) 16 (b) 4 (c) 20 (d) 5
  26. 26.How many corners do 3 pentagons and 5 rectangles have altogether? (a) 37 (b) 35 (c) 15 (d) 20
  27. 27.How many sides do 3 squares and 5 rectangles have altogether? (a) 20 (b) 8 (c) 12 (d) 32
  28. 28.How many sides do 3 squares and 3 hexagons have altogether? (a) 6 (b) 18 (c) 12 (d) 30
  29. 29.How many sides do 4 rectangles and 4 squares have altogether? (a) 16 (b) 32 (c) 33 (d) 8
  30. 30.How many sides do 3 rectangles and 2 hexagons have altogether? (a) 5 (b) 12 (c) 26 (d) 24
  31. 31.How many sides do 1 triangle and 5 octagons have altogether? (a) 40 (b) 43 (c) 23 (d) 3
  32. 32.How many sides do 3 pentagons and 2 squares have altogether? (a) 22 (b) 15 (c) 8 (d) 23
  33. 33.How many sides do 1 octagon and 5 squares have altogether? (a) 28 (b) 20 (c) 44 (d) 8
  34. 34.How many corners do 4 cubes have altogether? (a) 24 (b) 8 (c) 48 (d) 32
  35. 35.How many corners do 3 pentagons and 3 triangles have altogether? (a) 9 (b) 24 (c) 6 (d) 15
  36. 36.How many corners do 5 hexagons and 3 pentagons have altogether? (a) 43 (b) 30 (c) 15 (d) 45
  37. 37.How many sides do 1 rectangle and 2 squares have altogether? (a) 3 (b) 4 (c) 8 (d) 12
  38. 38.How many sides do 5 rectangles and 4 octagons have altogether? (a) 56 (b) 32 (c) 20 (d) 52
  39. 39.How many corners do 1 triangle and 3 pentagons have altogether? (a) 15 (b) 14 (c) 3 (d) 18
  40. 40.How many corners do 2 cubes have altogether? (a) 8 (b) 16 (c) 24 (d) 12

Answer key

  1. 10
  2. 31
  3. 23
  4. 31
  5. 22
  6. 21
  7. 39
  8. 13
  9. 18
  10. 9
  11. 11
  12. 62
  13. 11
  14. 13
  15. 28
  16. 45
  17. 24
  18. 16
  19. 27
  20. 26
  21. 42
  22. 15
  23. 22
  24. 24
  25. 20
  26. 35
  27. 32
  28. 30
  29. 32
  30. 24
  31. 43
  32. 23
  33. 28
  34. 32
  35. 24
  36. 45
  37. 12
  38. 52
  39. 18
  40. 16

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