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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 282 · 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. 1.1234567 × 9 + 8 =
  2. 2.37 × 6 =
  3. 3.12345679 × 9 =
  4. 4.1234567 × 8 + 7 =
  5. 5.37 × 18 =
  6. 6.12345 × 9 + 6 =
  7. 7.12345678 × 9 + 9 =
  8. 8.111111 × 111111 =
  9. 9.11111 × 11111 =
  10. 10.1234 × 8 + 4 =
  11. 11.12 × 9 + 3 =
  12. 12.37 × 15 =
  13. 13.123 × 9 + 4 =
  14. 14.37 × 24 =
  15. 15.37 × 12 =
  16. 16.12345679 × 18 =
  17. 17.123456789 × 8 + 9 =
  18. 18.12345679 × 27 =
  19. 19.111 × 111 =
  20. 20.37 × 3 =
  21. 21.12345679 × 36 =
  22. 22.12345679 × 54 =
  23. 23.1111 × 1111 =
  24. 24.12345679 × 63 =
  25. 25.12 × 8 + 2 =
  26. 26.37 × 27 =
  27. 27.11 × 11 =
  28. 28.123456 × 9 + 7 =
  29. 29.12345679 × 72 =
  30. 30.123 × 8 + 3 =
  31. 31.123456 × 8 + 6 =
  32. 32.1234 × 9 + 5 =
  33. 33.12345678 × 8 + 8 =
  34. 34.37 × 21 =
  35. 35.12345679 × 45 =
  36. 36.37 × 9 =
  37. 37.12345679 × 81 =
  38. 38.1234 × 8 + 4 =
  39. 39.11 × 11 =
  40. 40.111111 × 111111 =

Answer key

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

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