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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 635 · 40 questions
TalentJR

The trick (Spot the pattern): 37 × 3 = 111, so 37 × (3 × k) is k written three times. 12345679 × 9 = 111111111, so 12345679 × (9 × k) is k written nine times. 1 × 8 + 1 = 9, 12 × 8 + 2 = 98, 123 × 8 + 3 = 987 …; and 11 × 11 = 121, 111 × 111 = 12321.

NameDateTime takenScore ___ / 40
  1. 1.37 × 15 =
  2. 2.12345679 × 9 =
  3. 3.37 × 6 =
  4. 4.12345679 × 36 =
  5. 5.12 × 9 + 3 =
  6. 6.12345 × 9 + 6 =
  7. 7.1111 × 1111 =
  8. 8.12345679 × 81 =
  9. 9.37 × 21 =
  10. 10.37 × 9 =
  11. 11.12345678 × 9 + 9 =
  12. 12.12345679 × 63 =
  13. 13.12 × 8 + 2 =
  14. 14.1234 × 8 + 4 =
  15. 15.12345 × 8 + 5 =
  16. 16.12345679 × 45 =
  17. 17.37 × 24 =
  18. 18.12345679 × 27 =
  19. 19.37 × 3 =
  20. 20.11 × 11 =
  21. 21.111 × 111 =
  22. 22.123456 × 8 + 6 =
  23. 23.12345679 × 72 =
  24. 24.12345679 × 54 =
  25. 25.123456 × 9 + 7 =
  26. 26.37 × 27 =
  27. 27.123 × 8 + 3 =
  28. 28.1234567 × 8 + 7 =
  29. 29.123 × 9 + 4 =
  30. 30.1234 × 9 + 5 =
  31. 31.111111 × 111111 =
  32. 32.123456789 × 8 + 9 =
  33. 33.1234567 × 8 + 7 =
  34. 34.37 × 12 =
  35. 35.1234567 × 9 + 8 =
  36. 36.12345679 × 45 =
  37. 37.123 × 9 + 4 =
  38. 38.11111 × 11111 =
  39. 39.37 × 18 =
  40. 40.12345678 × 8 + 8 =

Answer key

  1. 555
  2. 111111111
  3. 222
  4. 444444444
  5. 111
  6. 111111
  7. 1234321
  8. 999999999
  9. 777
  10. 333
  11. 111111111
  12. 777777777
  13. 98
  14. 9876
  15. 98765
  16. 555555555
  17. 888
  18. 333333333
  19. 111
  20. 121
  21. 12321
  22. 987654
  23. 888888888
  24. 666666666
  25. 1111111
  26. 999
  27. 987
  28. 9876543
  29. 1111
  30. 11111
  31. 12345654321
  32. 987654321
  33. 9876543
  34. 444
  35. 11111111
  36. 555555555
  37. 1111
  38. 123454321
  39. 666
  40. 98765432

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