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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 205 · 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 × 81 =
  2. 2.12345679 × 45 =
  3. 3.37 × 3 =
  4. 4.37 × 21 =
  5. 5.123456 × 9 + 7 =
  6. 6.37 × 6 =
  7. 7.37 × 15 =
  8. 8.12345678 × 9 + 9 =
  9. 9.11111 × 11111 =
  10. 10.12345679 × 36 =
  11. 11.123 × 9 + 4 =
  12. 12.12345679 × 18 =
  13. 13.12 × 9 + 3 =
  14. 14.37 × 9 =
  15. 15.37 × 27 =
  16. 16.1234567 × 8 + 7 =
  17. 17.1111 × 1111 =
  18. 18.12345679 × 27 =
  19. 19.12345 × 9 + 6 =
  20. 20.12345679 × 72 =
  21. 21.111111 × 111111 =
  22. 22.12345679 × 9 =
  23. 23.1234 × 9 + 5 =
  24. 24.11 × 11 =
  25. 25.12 × 8 + 2 =
  26. 26.123456 × 8 + 6 =
  27. 27.37 × 18 =
  28. 28.1234567 × 9 + 8 =
  29. 29.12345679 × 63 =
  30. 30.123 × 8 + 3 =
  31. 31.1234 × 8 + 4 =
  32. 32.12345678 × 8 + 8 =
  33. 33.12345 × 8 + 5 =
  34. 34.12345679 × 54 =
  35. 35.123456 × 8 + 6 =
  36. 36.111 × 111 =
  37. 37.37 × 12 =
  38. 38.123456789 × 8 + 9 =
  39. 39.37 × 24 =
  40. 40.11 × 11 =

Answer key

  1. 999999999
  2. 555555555
  3. 111
  4. 777
  5. 1111111
  6. 222
  7. 555
  8. 111111111
  9. 123454321
  10. 444444444
  11. 1111
  12. 222222222
  13. 111
  14. 333
  15. 999
  16. 9876543
  17. 1234321
  18. 333333333
  19. 111111
  20. 888888888
  21. 12345654321
  22. 111111111
  23. 11111
  24. 121
  25. 98
  26. 987654
  27. 666
  28. 11111111
  29. 777777777
  30. 987
  31. 9876
  32. 98765432
  33. 98765
  34. 666666666
  35. 987654
  36. 12321
  37. 444
  38. 987654321
  39. 888
  40. 121

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