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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 624 · 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. 1.12 × 9 + 3 =
  2. 2.1111 × 1111 =
  3. 3.123456 × 9 + 7 =
  4. 4.37 × 21 =
  5. 5.12345 × 8 + 5 =
  6. 6.12345679 × 36 =
  7. 7.37 × 15 =
  8. 8.12345679 × 27 =
  9. 9.12345 × 9 + 6 =
  10. 10.12345679 × 63 =
  11. 11.37 × 9 =
  12. 12.11 × 11 =
  13. 13.12345679 × 72 =
  14. 14.12345679 × 9 =
  15. 15.123 × 9 + 4 =
  16. 16.111111 × 111111 =
  17. 17.12345678 × 8 + 8 =
  18. 18.123456 × 8 + 6 =
  19. 19.123 × 8 + 3 =
  20. 20.12345678 × 9 + 9 =
  21. 21.11111 × 11111 =
  22. 22.37 × 6 =
  23. 23.37 × 3 =
  24. 24.1234 × 8 + 4 =
  25. 25.1234 × 9 + 5 =
  26. 26.37 × 24 =
  27. 27.111 × 111 =
  28. 28.37 × 9 =
  29. 29.12345679 × 45 =
  30. 30.12345679 × 54 =
  31. 31.37 × 27 =
  32. 32.1234567 × 8 + 7 =
  33. 33.12345678 × 8 + 8 =
  34. 34.123456789 × 8 + 9 =
  35. 35.1234567 × 8 + 7 =
  36. 36.12345678 × 9 + 9 =
  37. 37.12345679 × 81 =
  38. 38.37 × 12 =
  39. 39.12 × 8 + 2 =
  40. 40.12345679 × 18 =

Answer key

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

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