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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 190 · 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. 1.11111 × 11111 =
  2. 2.12 × 9 + 3 =
  3. 3.12345679 × 45 =
  4. 4.12345 × 8 + 5 =
  5. 5.12345 × 9 + 6 =
  6. 6.11 × 11 =
  7. 7.123456 × 9 + 7 =
  8. 8.12345679 × 63 =
  9. 9.37 × 18 =
  10. 10.12345679 × 18 =
  11. 11.37 × 15 =
  12. 12.12345678 × 8 + 8 =
  13. 13.123 × 8 + 3 =
  14. 14.123456789 × 8 + 9 =
  15. 15.1234 × 9 + 5 =
  16. 16.111 × 111 =
  17. 17.12345679 × 81 =
  18. 18.37 × 6 =
  19. 19.1111 × 1111 =
  20. 20.37 × 3 =
  21. 21.12345679 × 27 =
  22. 22.12 × 8 + 2 =
  23. 23.12345679 × 54 =
  24. 24.37 × 21 =
  25. 25.12345679 × 72 =
  26. 26.37 × 24 =
  27. 27.12345679 × 9 =
  28. 28.123 × 9 + 4 =
  29. 29.111111 × 111111 =
  30. 30.123 × 8 + 3 =
  31. 31.123456 × 8 + 6 =
  32. 32.1234 × 8 + 4 =
  33. 33.12345678 × 9 + 9 =
  34. 34.37 × 27 =
  35. 35.1234567 × 9 + 8 =
  36. 36.37 × 12 =
  37. 37.12345679 × 36 =
  38. 38.123 × 9 + 4 =
  39. 39.123 × 8 + 3 =
  40. 40.123 × 8 + 3 =

Answer key

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

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