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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 245 · 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. 2.111111 × 111111 =
  3. 3.12 × 8 + 2 =
  4. 4.12345679 × 36 =
  5. 5.12345 × 8 + 5 =
  6. 6.12345679 × 54 =
  7. 7.37 × 3 =
  8. 8.123 × 8 + 3 =
  9. 9.12345678 × 8 + 8 =
  10. 10.12345679 × 18 =
  11. 11.37 × 6 =
  12. 12.12345679 × 27 =
  13. 13.1234 × 9 + 5 =
  14. 14.123456 × 9 + 7 =
  15. 15.11111 × 11111 =
  16. 16.1111 × 1111 =
  17. 17.37 × 9 =
  18. 18.37 × 24 =
  19. 19.37 × 18 =
  20. 20.123456789 × 8 + 9 =
  21. 21.12345679 × 9 =
  22. 22.12345679 × 72 =
  23. 23.12345678 × 9 + 9 =
  24. 24.37 × 21 =
  25. 25.123 × 9 + 4 =
  26. 26.12345679 × 63 =
  27. 27.12 × 9 + 3 =
  28. 28.11 × 11 =
  29. 29.37 × 15 =
  30. 30.1234 × 8 + 4 =
  31. 31.111 × 111 =
  32. 32.12345679 × 45 =
  33. 33.12345 × 9 + 6 =
  34. 34.123456 × 8 + 6 =
  35. 35.123456 × 9 + 7 =
  36. 36.37 × 27 =
  37. 37.1234567 × 8 + 7 =
  38. 38.12345679 × 81 =
  39. 39.12345678 × 8 + 8 =
  40. 40.37 × 12 =

Answer key

  1. 11111111
  2. 12345654321
  3. 98
  4. 444444444
  5. 98765
  6. 666666666
  7. 111
  8. 987
  9. 98765432
  10. 222222222
  11. 222
  12. 333333333
  13. 11111
  14. 1111111
  15. 123454321
  16. 1234321
  17. 333
  18. 888
  19. 666
  20. 987654321
  21. 111111111
  22. 888888888
  23. 111111111
  24. 777
  25. 1111
  26. 777777777
  27. 111
  28. 121
  29. 555
  30. 9876
  31. 12321
  32. 555555555
  33. 111111
  34. 987654
  35. 1111111
  36. 999
  37. 9876543
  38. 999999999
  39. 98765432
  40. 444

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