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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 429 · 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. 1.12345 × 8 + 5 =
  2. 2.12345679 × 9 =
  3. 3.1234 × 8 + 4 =
  4. 4.123456 × 9 + 7 =
  5. 5.37 × 24 =
  6. 6.123 × 8 + 3 =
  7. 7.123456789 × 8 + 9 =
  8. 8.11111 × 11111 =
  9. 9.111111 × 111111 =
  10. 10.11 × 11 =
  11. 11.123456 × 8 + 6 =
  12. 12.1111 × 1111 =
  13. 13.12345679 × 36 =
  14. 14.37 × 15 =
  15. 15.37 × 9 =
  16. 16.12345679 × 27 =
  17. 17.123 × 9 + 4 =
  18. 18.12345 × 9 + 6 =
  19. 19.111 × 111 =
  20. 20.12 × 8 + 2 =
  21. 21.37 × 12 =
  22. 22.12345679 × 81 =
  23. 23.12 × 9 + 3 =
  24. 24.1234567 × 9 + 8 =
  25. 25.37 × 6 =
  26. 26.12345679 × 45 =
  27. 27.1234 × 9 + 5 =
  28. 28.12345678 × 8 + 8 =
  29. 29.12345678 × 9 + 9 =
  30. 30.12345679 × 18 =
  31. 31.12345679 × 72 =
  32. 32.1234567 × 8 + 7 =
  33. 33.12345679 × 63 =
  34. 34.37 × 24 =
  35. 35.37 × 27 =
  36. 36.37 × 3 =
  37. 37.37 × 18 =
  38. 38.111 × 111 =
  39. 39.12345679 × 81 =
  40. 40.111 × 111 =

Answer key

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

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