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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 632 · 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 × 8 + 2 =
  2. 2.12345679 × 18 =
  3. 3.37 × 27 =
  4. 4.37 × 6 =
  5. 5.37 × 12 =
  6. 6.37 × 3 =
  7. 7.11111 × 11111 =
  8. 8.12345 × 9 + 6 =
  9. 9.1111 × 1111 =
  10. 10.111 × 111 =
  11. 11.11 × 11 =
  12. 12.123456789 × 8 + 9 =
  13. 13.37 × 18 =
  14. 14.12345678 × 9 + 9 =
  15. 15.123456 × 8 + 6 =
  16. 16.12345679 × 63 =
  17. 17.1234567 × 9 + 8 =
  18. 18.12345679 × 36 =
  19. 19.123 × 8 + 3 =
  20. 20.1234 × 8 + 4 =
  21. 21.123456 × 9 + 7 =
  22. 22.1234567 × 8 + 7 =
  23. 23.12345679 × 45 =
  24. 24.123 × 9 + 4 =
  25. 25.1234 × 9 + 5 =
  26. 26.37 × 9 =
  27. 27.111111 × 111111 =
  28. 28.37 × 21 =
  29. 29.12345678 × 8 + 8 =
  30. 30.12345679 × 72 =
  31. 31.12345679 × 81 =
  32. 32.37 × 24 =
  33. 33.37 × 15 =
  34. 34.12345 × 8 + 5 =
  35. 35.123456 × 9 + 7 =
  36. 36.12345679 × 9 =
  37. 37.12 × 9 + 3 =
  38. 38.12345678 × 9 + 9 =
  39. 39.123456 × 9 + 7 =
  40. 40.12345679 × 27 =

Answer key

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

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