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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 396 · 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. 2.12345679 × 18 =
  3. 3.37 × 12 =
  4. 4.12 × 8 + 2 =
  5. 5.37 × 24 =
  6. 6.123 × 9 + 4 =
  7. 7.12345679 × 72 =
  8. 8.12345679 × 36 =
  9. 9.12345679 × 45 =
  10. 10.1234 × 8 + 4 =
  11. 11.123456789 × 8 + 9 =
  12. 12.37 × 18 =
  13. 13.12345679 × 27 =
  14. 14.111111 × 111111 =
  15. 15.37 × 6 =
  16. 16.123 × 8 + 3 =
  17. 17.12345679 × 9 =
  18. 18.37 × 15 =
  19. 19.1234 × 9 + 5 =
  20. 20.1111 × 1111 =
  21. 21.12345679 × 81 =
  22. 22.12345679 × 54 =
  23. 23.111 × 111 =
  24. 24.123456 × 9 + 7 =
  25. 25.12345679 × 63 =
  26. 26.11111 × 11111 =
  27. 27.37 × 27 =
  28. 28.12345 × 8 + 5 =
  29. 29.37 × 6 =
  30. 30.123 × 9 + 4 =
  31. 31.12 × 9 + 3 =
  32. 32.12345 × 9 + 6 =
  33. 33.1234567 × 9 + 8 =
  34. 34.123456 × 8 + 6 =
  35. 35.12345678 × 8 + 8 =
  36. 36.37 × 12 =
  37. 37.37 × 9 =
  38. 38.1234567 × 9 + 8 =
  39. 39.12345 × 8 + 5 =
  40. 40.12345679 × 18 =

Answer key

  1. 121
  2. 222222222
  3. 444
  4. 98
  5. 888
  6. 1111
  7. 888888888
  8. 444444444
  9. 555555555
  10. 9876
  11. 987654321
  12. 666
  13. 333333333
  14. 12345654321
  15. 222
  16. 987
  17. 111111111
  18. 555
  19. 11111
  20. 1234321
  21. 999999999
  22. 666666666
  23. 12321
  24. 1111111
  25. 777777777
  26. 123454321
  27. 999
  28. 98765
  29. 222
  30. 1111
  31. 111
  32. 111111
  33. 11111111
  34. 987654
  35. 98765432
  36. 444
  37. 333
  38. 11111111
  39. 98765
  40. 222222222

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