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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 386 · 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. 1.123 × 9 + 4 =
  2. 2.12345679 × 18 =
  3. 3.123456 × 9 + 7 =
  4. 4.37 × 24 =
  5. 5.12345679 × 45 =
  6. 6.37 × 6 =
  7. 7.12 × 9 + 3 =
  8. 8.37 × 9 =
  9. 9.111 × 111 =
  10. 10.12345679 × 27 =
  11. 11.11111 × 11111 =
  12. 12.37 × 27 =
  13. 13.12345679 × 54 =
  14. 14.1234 × 9 + 5 =
  15. 15.12345 × 8 + 5 =
  16. 16.11 × 11 =
  17. 17.111111 × 111111 =
  18. 18.37 × 18 =
  19. 19.12345679 × 72 =
  20. 20.37 × 21 =
  21. 21.12345 × 9 + 6 =
  22. 22.1234 × 8 + 4 =
  23. 23.123456789 × 8 + 9 =
  24. 24.1234567 × 9 + 8 =
  25. 25.12 × 8 + 2 =
  26. 26.1111 × 1111 =
  27. 27.12345679 × 81 =
  28. 28.37 × 12 =
  29. 29.123456 × 8 + 6 =
  30. 30.123 × 8 + 3 =
  31. 31.12345679 × 63 =
  32. 32.12345679 × 9 =
  33. 33.1234567 × 9 + 8 =
  34. 34.12345678 × 9 + 9 =
  35. 35.37 × 3 =
  36. 36.1234567 × 8 + 7 =
  37. 37.12345678 × 8 + 8 =
  38. 38.37 × 15 =
  39. 39.37 × 18 =
  40. 40.111111 × 111111 =

Answer key

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

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