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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 676 · 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. 1.12345679 × 9 =
  2. 2.37 × 9 =
  3. 3.12345 × 8 + 5 =
  4. 4.37 × 15 =
  5. 5.12345678 × 8 + 8 =
  6. 6.12345678 × 9 + 9 =
  7. 7.123456789 × 8 + 9 =
  8. 8.12345679 × 18 =
  9. 9.12345679 × 36 =
  10. 10.1234567 × 9 + 8 =
  11. 11.1234 × 9 + 5 =
  12. 12.12345 × 9 + 6 =
  13. 13.37 × 21 =
  14. 14.12345679 × 72 =
  15. 15.12 × 9 + 3 =
  16. 16.12345679 × 27 =
  17. 17.37 × 27 =
  18. 18.37 × 3 =
  19. 19.12345679 × 81 =
  20. 20.11111 × 11111 =
  21. 21.12345679 × 45 =
  22. 22.123456 × 8 + 6 =
  23. 23.11 × 11 =
  24. 24.37 × 18 =
  25. 25.111111 × 111111 =
  26. 26.123456 × 9 + 7 =
  27. 27.12345679 × 54 =
  28. 28.123 × 8 + 3 =
  29. 29.37 × 6 =
  30. 30.1234 × 8 + 4 =
  31. 31.12 × 8 + 2 =
  32. 32.111 × 111 =
  33. 33.37 × 24 =
  34. 34.123 × 9 + 4 =
  35. 35.1111 × 1111 =
  36. 36.37 × 12 =
  37. 37.111 × 111 =
  38. 38.1234 × 9 + 5 =
  39. 39.12345678 × 8 + 8 =
  40. 40.12345679 × 36 =

Answer key

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

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