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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 354 · 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. 1.111 × 111 =
  2. 2.37 × 27 =
  3. 3.37 × 18 =
  4. 4.37 × 3 =
  5. 5.1234567 × 9 + 8 =
  6. 6.12 × 8 + 2 =
  7. 7.12345 × 8 + 5 =
  8. 8.123 × 9 + 4 =
  9. 9.111111 × 111111 =
  10. 10.37 × 15 =
  11. 11.11 × 11 =
  12. 12.12345 × 9 + 6 =
  13. 13.12345679 × 63 =
  14. 14.12345679 × 72 =
  15. 15.123456 × 8 + 6 =
  16. 16.123 × 8 + 3 =
  17. 17.37 × 24 =
  18. 18.12345679 × 81 =
  19. 19.11111 × 11111 =
  20. 20.1111 × 1111 =
  21. 21.123456 × 9 + 7 =
  22. 22.1234 × 8 + 4 =
  23. 23.37 × 12 =
  24. 24.12345679 × 45 =
  25. 25.12345678 × 9 + 9 =
  26. 26.12345679 × 9 =
  27. 27.12 × 9 + 3 =
  28. 28.12345679 × 36 =
  29. 29.1234 × 9 + 5 =
  30. 30.1234567 × 8 + 7 =
  31. 31.37 × 21 =
  32. 32.12345678 × 8 + 8 =
  33. 33.12345679 × 18 =
  34. 34.12345679 × 54 =
  35. 35.37 × 9 =
  36. 36.37 × 6 =
  37. 37.11111 × 11111 =
  38. 38.1234567 × 8 + 7 =
  39. 39.123456789 × 8 + 9 =
  40. 40.123456 × 9 + 7 =

Answer key

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

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