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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 414 · 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. 1.12345679 × 18 =
  2. 2.1234567 × 8 + 7 =
  3. 3.37 × 6 =
  4. 4.123 × 9 + 4 =
  5. 5.12345 × 9 + 6 =
  6. 6.123456 × 8 + 6 =
  7. 7.37 × 21 =
  8. 8.37 × 12 =
  9. 9.123456 × 9 + 7 =
  10. 10.11 × 11 =
  11. 11.12345679 × 45 =
  12. 12.111111 × 111111 =
  13. 13.12345679 × 9 =
  14. 14.12 × 8 + 2 =
  15. 15.12345678 × 8 + 8 =
  16. 16.12345679 × 36 =
  17. 17.12345678 × 9 + 9 =
  18. 18.11111 × 11111 =
  19. 19.1234 × 8 + 4 =
  20. 20.1111 × 1111 =
  21. 21.12345 × 8 + 5 =
  22. 22.12 × 9 + 3 =
  23. 23.37 × 3 =
  24. 24.1234 × 9 + 5 =
  25. 25.123 × 8 + 3 =
  26. 26.12345679 × 81 =
  27. 27.1234567 × 9 + 8 =
  28. 28.123456789 × 8 + 9 =
  29. 29.37 × 27 =
  30. 30.12345679 × 72 =
  31. 31.37 × 9 =
  32. 32.12345679 × 27 =
  33. 33.37 × 6 =
  34. 34.37 × 18 =
  35. 35.37 × 24 =
  36. 36.12345679 × 63 =
  37. 37.111 × 111 =
  38. 38.12345679 × 54 =
  39. 39.123456789 × 8 + 9 =
  40. 40.37 × 15 =

Answer key

  1. 222222222
  2. 9876543
  3. 222
  4. 1111
  5. 111111
  6. 987654
  7. 777
  8. 444
  9. 1111111
  10. 121
  11. 555555555
  12. 12345654321
  13. 111111111
  14. 98
  15. 98765432
  16. 444444444
  17. 111111111
  18. 123454321
  19. 9876
  20. 1234321
  21. 98765
  22. 111
  23. 111
  24. 11111
  25. 987
  26. 999999999
  27. 11111111
  28. 987654321
  29. 999
  30. 888888888
  31. 333
  32. 333333333
  33. 222
  34. 666
  35. 888
  36. 777777777
  37. 12321
  38. 666666666
  39. 987654321
  40. 555

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