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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 681 · 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. 2.37 × 9 =
  3. 3.12345679 × 81 =
  4. 4.37 × 18 =
  5. 5.37 × 21 =
  6. 6.12345679 × 27 =
  7. 7.123456789 × 8 + 9 =
  8. 8.11 × 11 =
  9. 9.1234 × 8 + 4 =
  10. 10.12345679 × 54 =
  11. 11.12345679 × 18 =
  12. 12.12345 × 8 + 5 =
  13. 13.1111 × 1111 =
  14. 14.123456 × 9 + 7 =
  15. 15.12345678 × 8 + 8 =
  16. 16.12345679 × 36 =
  17. 17.12345679 × 72 =
  18. 18.12345679 × 9 =
  19. 19.123456 × 8 + 6 =
  20. 20.37 × 27 =
  21. 21.111111 × 111111 =
  22. 22.123 × 8 + 3 =
  23. 23.12345 × 9 + 6 =
  24. 24.12 × 8 + 2 =
  25. 25.37 × 15 =
  26. 26.37 × 12 =
  27. 27.12 × 9 + 3 =
  28. 28.37 × 3 =
  29. 29.37 × 6 =
  30. 30.12345679 × 45 =
  31. 31.1234567 × 9 + 8 =
  32. 32.37 × 24 =
  33. 33.123 × 9 + 4 =
  34. 34.12345679 × 63 =
  35. 35.37 × 21 =
  36. 36.111 × 111 =
  37. 37.1234567 × 8 + 7 =
  38. 38.1234567 × 8 + 7 =
  39. 39.1234 × 9 + 5 =
  40. 40.12345679 × 27 =

Answer key

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

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