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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 139 · 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. 2.37 × 24 =
  3. 3.37 × 18 =
  4. 4.123 × 8 + 3 =
  5. 5.37 × 12 =
  6. 6.12345678 × 8 + 8 =
  7. 7.12345679 × 63 =
  8. 8.111111 × 111111 =
  9. 9.111 × 111 =
  10. 10.12 × 9 + 3 =
  11. 11.12345 × 9 + 6 =
  12. 12.37 × 27 =
  13. 13.11111 × 11111 =
  14. 14.123456 × 9 + 7 =
  15. 15.12345679 × 36 =
  16. 16.1234567 × 8 + 7 =
  17. 17.37 × 9 =
  18. 18.1234 × 9 + 5 =
  19. 19.12345679 × 9 =
  20. 20.12345679 × 72 =
  21. 21.11 × 11 =
  22. 22.12345679 × 45 =
  23. 23.12 × 8 + 2 =
  24. 24.12345679 × 27 =
  25. 25.37 × 6 =
  26. 26.123 × 9 + 4 =
  27. 27.12345 × 8 + 5 =
  28. 28.12345678 × 9 + 9 =
  29. 29.123456 × 8 + 6 =
  30. 30.123456789 × 8 + 9 =
  31. 31.12345679 × 54 =
  32. 32.1234 × 8 + 4 =
  33. 33.11 × 11 =
  34. 34.1111 × 1111 =
  35. 35.37 × 3 =
  36. 36.37 × 18 =
  37. 37.1234567 × 9 + 8 =
  38. 38.37 × 15 =
  39. 39.12345679 × 72 =
  40. 40.11 × 11 =

Answer key

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

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