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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 217 · 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 × 54 =
  2. 2.12345 × 8 + 5 =
  3. 3.111111 × 111111 =
  4. 4.1234 × 9 + 5 =
  5. 5.12345679 × 27 =
  6. 6.1111 × 1111 =
  7. 7.11 × 11 =
  8. 8.111 × 111 =
  9. 9.37 × 9 =
  10. 10.1234567 × 9 + 8 =
  11. 11.12 × 8 + 2 =
  12. 12.37 × 27 =
  13. 13.12345679 × 9 =
  14. 14.37 × 24 =
  15. 15.1234 × 8 + 4 =
  16. 16.12345679 × 81 =
  17. 17.123456 × 9 + 7 =
  18. 18.12345678 × 8 + 8 =
  19. 19.123 × 8 + 3 =
  20. 20.12345679 × 36 =
  21. 21.12345679 × 45 =
  22. 22.12345678 × 9 + 9 =
  23. 23.12345679 × 63 =
  24. 24.37 × 3 =
  25. 25.37 × 6 =
  26. 26.123456789 × 8 + 9 =
  27. 27.37 × 21 =
  28. 28.11111 × 11111 =
  29. 29.12345 × 9 + 6 =
  30. 30.37 × 12 =
  31. 31.12345679 × 72 =
  32. 32.123456 × 8 + 6 =
  33. 33.1234567 × 8 + 7 =
  34. 34.12345679 × 18 =
  35. 35.37 × 15 =
  36. 36.12 × 9 + 3 =
  37. 37.111111 × 111111 =
  38. 38.123 × 9 + 4 =
  39. 39.37 × 18 =
  40. 40.1234567 × 8 + 7 =

Answer key

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

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