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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 1 · 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. 1.1234 × 9 + 5 =
  2. 2.37 × 21 =
  3. 3.12345679 × 63 =
  4. 4.12345679 × 72 =
  5. 5.12345679 × 81 =
  6. 6.1234 × 8 + 4 =
  7. 7.12345679 × 9 =
  8. 8.11111 × 11111 =
  9. 9.123 × 9 + 4 =
  10. 10.123456789 × 8 + 9 =
  11. 11.12345678 × 8 + 8 =
  12. 12.123456 × 8 + 6 =
  13. 13.37 × 18 =
  14. 14.1234567 × 9 + 8 =
  15. 15.37 × 6 =
  16. 16.11 × 11 =
  17. 17.12345679 × 45 =
  18. 18.12 × 9 + 3 =
  19. 19.1234567 × 8 + 7 =
  20. 20.37 × 15 =
  21. 21.111 × 111 =
  22. 22.123456 × 9 + 7 =
  23. 23.12345 × 9 + 6 =
  24. 24.1111 × 1111 =
  25. 25.12345679 × 54 =
  26. 26.111111 × 111111 =
  27. 27.37 × 9 =
  28. 28.37 × 3 =
  29. 29.12345679 × 27 =
  30. 30.12345679 × 18 =
  31. 31.12345679 × 36 =
  32. 32.12345679 × 36 =
  33. 33.12345678 × 9 + 9 =
  34. 34.37 × 12 =
  35. 35.37 × 27 =
  36. 36.37 × 27 =
  37. 37.37 × 6 =
  38. 38.123456 × 8 + 6 =
  39. 39.12345 × 8 + 5 =
  40. 40.12345679 × 18 =

Answer key

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

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