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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 408 · 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. 1.37 × 15 =
  2. 2.12 × 9 + 3 =
  3. 3.12345678 × 8 + 8 =
  4. 4.12345 × 9 + 6 =
  5. 5.12345679 × 9 =
  6. 6.12345679 × 72 =
  7. 7.12345679 × 27 =
  8. 8.12345679 × 63 =
  9. 9.1234 × 8 + 4 =
  10. 10.1234567 × 9 + 8 =
  11. 11.12345679 × 36 =
  12. 12.37 × 27 =
  13. 13.111111 × 111111 =
  14. 14.11111 × 11111 =
  15. 15.123 × 8 + 3 =
  16. 16.12 × 8 + 2 =
  17. 17.11 × 11 =
  18. 18.1234 × 9 + 5 =
  19. 19.123456789 × 8 + 9 =
  20. 20.123456 × 8 + 6 =
  21. 21.1234567 × 8 + 7 =
  22. 22.12345679 × 18 =
  23. 23.37 × 9 =
  24. 24.37 × 18 =
  25. 25.12345679 × 45 =
  26. 26.1111 × 1111 =
  27. 27.123456 × 9 + 7 =
  28. 28.12345 × 8 + 5 =
  29. 29.12345679 × 81 =
  30. 30.37 × 6 =
  31. 31.111 × 111 =
  32. 32.12345678 × 9 + 9 =
  33. 33.123 × 9 + 4 =
  34. 34.37 × 3 =
  35. 35.37 × 24 =
  36. 36.12345679 × 54 =
  37. 37.37 × 21 =
  38. 38.12345679 × 27 =
  39. 39.123 × 8 + 3 =
  40. 40.11 × 11 =

Answer key

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

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