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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 546 · 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. 2.1111 × 1111 =
  3. 3.12 × 9 + 3 =
  4. 4.12345679 × 9 =
  5. 5.11 × 11 =
  6. 6.111111 × 111111 =
  7. 7.1234567 × 9 + 8 =
  8. 8.123 × 8 + 3 =
  9. 9.12345679 × 27 =
  10. 10.12345 × 8 + 5 =
  11. 11.37 × 12 =
  12. 12.12345679 × 45 =
  13. 13.37 × 18 =
  14. 14.123456789 × 8 + 9 =
  15. 15.12345679 × 54 =
  16. 16.1234 × 8 + 4 =
  17. 17.1234567 × 8 + 7 =
  18. 18.12345679 × 63 =
  19. 19.111 × 111 =
  20. 20.1234 × 9 + 5 =
  21. 21.123 × 9 + 4 =
  22. 22.12345679 × 72 =
  23. 23.11111 × 11111 =
  24. 24.37 × 9 =
  25. 25.11 × 11 =
  26. 26.37 × 24 =
  27. 27.12345 × 9 + 6 =
  28. 28.37 × 6 =
  29. 29.12345678 × 9 + 9 =
  30. 30.12 × 8 + 2 =
  31. 31.123456 × 8 + 6 =
  32. 32.12345679 × 36 =
  33. 33.12345678 × 8 + 8 =
  34. 34.123456 × 9 + 7 =
  35. 35.12345679 × 18 =
  36. 36.37 × 21 =
  37. 37.123 × 9 + 4 =
  38. 38.37 × 27 =
  39. 39.37 × 15 =
  40. 40.12345679 × 81 =

Answer key

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

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