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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 425 · 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. 1.1234 × 9 + 5 =
  2. 2.111111 × 111111 =
  3. 3.123456 × 8 + 6 =
  4. 4.1234567 × 8 + 7 =
  5. 5.11111 × 11111 =
  6. 6.37 × 6 =
  7. 7.1234567 × 9 + 8 =
  8. 8.12345679 × 72 =
  9. 9.37 × 3 =
  10. 10.123 × 9 + 4 =
  11. 11.12345 × 8 + 5 =
  12. 12.37 × 15 =
  13. 13.12345679 × 81 =
  14. 14.1234 × 8 + 4 =
  15. 15.37 × 21 =
  16. 16.111 × 111 =
  17. 17.11 × 11 =
  18. 18.12345679 × 54 =
  19. 19.37 × 12 =
  20. 20.12345679 × 9 =
  21. 21.123 × 8 + 3 =
  22. 22.12345679 × 45 =
  23. 23.12345 × 9 + 6 =
  24. 24.12345679 × 27 =
  25. 25.123456 × 9 + 7 =
  26. 26.1111 × 1111 =
  27. 27.12 × 9 + 3 =
  28. 28.12345679 × 18 =
  29. 29.12345678 × 9 + 9 =
  30. 30.12 × 9 + 3 =
  31. 31.37 × 24 =
  32. 32.12345678 × 8 + 8 =
  33. 33.37 × 18 =
  34. 34.12 × 8 + 2 =
  35. 35.37 × 21 =
  36. 36.12345679 × 36 =
  37. 37.37 × 27 =
  38. 38.12345679 × 18 =
  39. 39.12345678 × 8 + 8 =
  40. 40.123456789 × 8 + 9 =

Answer key

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

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