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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 197 · 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 × 36 =
  2. 2.1111 × 1111 =
  3. 3.11 × 11 =
  4. 4.1234567 × 9 + 8 =
  5. 5.12345679 × 9 =
  6. 6.11111 × 11111 =
  7. 7.12 × 9 + 3 =
  8. 8.12345679 × 63 =
  9. 9.12 × 8 + 2 =
  10. 10.1234 × 9 + 5 =
  11. 11.123456 × 9 + 7 =
  12. 12.12345 × 9 + 6 =
  13. 13.12345679 × 72 =
  14. 14.37 × 12 =
  15. 15.37 × 27 =
  16. 16.37 × 9 =
  17. 17.12345679 × 54 =
  18. 18.111111 × 111111 =
  19. 19.12345678 × 8 + 8 =
  20. 20.123 × 8 + 3 =
  21. 21.37 × 6 =
  22. 22.123456789 × 8 + 9 =
  23. 23.12345679 × 81 =
  24. 24.12345679 × 18 =
  25. 25.1234 × 8 + 4 =
  26. 26.111 × 111 =
  27. 27.37 × 24 =
  28. 28.123456 × 8 + 6 =
  29. 29.12345679 × 81 =
  30. 30.37 × 21 =
  31. 31.1234567 × 8 + 7 =
  32. 32.12345679 × 45 =
  33. 33.37 × 18 =
  34. 34.123 × 9 + 4 =
  35. 35.37 × 3 =
  36. 36.37 × 3 =
  37. 37.37 × 18 =
  38. 38.37 × 15 =
  39. 39.12345678 × 9 + 9 =
  40. 40.12345679 × 27 =

Answer key

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

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