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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 465 · 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. 1.11 × 11 =
  2. 2.1234 × 9 + 5 =
  3. 3.12345679 × 36 =
  4. 4.123 × 9 + 4 =
  5. 5.37 × 15 =
  6. 6.12345679 × 9 =
  7. 7.12345679 × 18 =
  8. 8.37 × 27 =
  9. 9.12345679 × 63 =
  10. 10.111111 × 111111 =
  11. 11.1234 × 8 + 4 =
  12. 12.123456789 × 8 + 9 =
  13. 13.37 × 3 =
  14. 14.12345679 × 27 =
  15. 15.12345679 × 81 =
  16. 16.1111 × 1111 =
  17. 17.12345679 × 45 =
  18. 18.12345678 × 9 + 9 =
  19. 19.1234567 × 9 + 8 =
  20. 20.12 × 9 + 3 =
  21. 21.12 × 8 + 2 =
  22. 22.123456 × 8 + 6 =
  23. 23.12345679 × 54 =
  24. 24.37 × 9 =
  25. 25.111 × 111 =
  26. 26.11111 × 11111 =
  27. 27.37 × 18 =
  28. 28.123456 × 9 + 7 =
  29. 29.12345 × 8 + 5 =
  30. 30.123 × 8 + 3 =
  31. 31.1111 × 1111 =
  32. 32.37 × 6 =
  33. 33.37 × 12 =
  34. 34.1234567 × 8 + 7 =
  35. 35.12345678 × 8 + 8 =
  36. 36.12345 × 9 + 6 =
  37. 37.12345679 × 72 =
  38. 38.11 × 11 =
  39. 39.37 × 21 =
  40. 40.37 × 27 =

Answer key

  1. 121
  2. 11111
  3. 444444444
  4. 1111
  5. 555
  6. 111111111
  7. 222222222
  8. 999
  9. 777777777
  10. 12345654321
  11. 9876
  12. 987654321
  13. 111
  14. 333333333
  15. 999999999
  16. 1234321
  17. 555555555
  18. 111111111
  19. 11111111
  20. 111
  21. 98
  22. 987654
  23. 666666666
  24. 333
  25. 12321
  26. 123454321
  27. 666
  28. 1111111
  29. 98765
  30. 987
  31. 1234321
  32. 222
  33. 444
  34. 9876543
  35. 98765432
  36. 111111
  37. 888888888
  38. 121
  39. 777
  40. 999

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