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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 379 · 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. 2.37 × 24 =
  3. 3.12345679 × 18 =
  4. 4.12345678 × 8 + 8 =
  5. 5.12345679 × 54 =
  6. 6.111111 × 111111 =
  7. 7.12345679 × 27 =
  8. 8.12345679 × 36 =
  9. 9.1111 × 1111 =
  10. 10.37 × 3 =
  11. 11.12345679 × 72 =
  12. 12.123456 × 8 + 6 =
  13. 13.12 × 8 + 2 =
  14. 14.12345679 × 9 =
  15. 15.37 × 9 =
  16. 16.123 × 8 + 3 =
  17. 17.111 × 111 =
  18. 18.37 × 18 =
  19. 19.1234567 × 9 + 8 =
  20. 20.123 × 9 + 4 =
  21. 21.12345679 × 63 =
  22. 22.37 × 6 =
  23. 23.12 × 9 + 3 =
  24. 24.1234 × 8 + 4 =
  25. 25.1234567 × 8 + 7 =
  26. 26.12345679 × 81 =
  27. 27.123456789 × 8 + 9 =
  28. 28.12345678 × 9 + 9 =
  29. 29.37 × 27 =
  30. 30.11111 × 11111 =
  31. 31.11 × 11 =
  32. 32.12345679 × 45 =
  33. 33.37 × 12 =
  34. 34.37 × 21 =
  35. 35.37 × 24 =
  36. 36.123456 × 9 + 7 =
  37. 37.1234 × 8 + 4 =
  38. 38.37 × 15 =
  39. 39.12345679 × 18 =
  40. 40.12 × 9 + 3 =

Answer key

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

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