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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 159 · 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. 1.1111 × 1111 =
  2. 2.111 × 111 =
  3. 3.123 × 9 + 4 =
  4. 4.37 × 9 =
  5. 5.111111 × 111111 =
  6. 6.12345679 × 54 =
  7. 7.1234567 × 9 + 8 =
  8. 8.11 × 11 =
  9. 9.12345679 × 72 =
  10. 10.37 × 6 =
  11. 11.12345678 × 8 + 8 =
  12. 12.37 × 18 =
  13. 13.12345679 × 45 =
  14. 14.12345679 × 9 =
  15. 15.12345679 × 36 =
  16. 16.12 × 8 + 2 =
  17. 17.37 × 15 =
  18. 18.37 × 21 =
  19. 19.1234567 × 8 + 7 =
  20. 20.123456789 × 8 + 9 =
  21. 21.12345679 × 63 =
  22. 22.123 × 8 + 3 =
  23. 23.123456 × 8 + 6 =
  24. 24.12345679 × 81 =
  25. 25.37 × 12 =
  26. 26.12345 × 8 + 5 =
  27. 27.123456 × 9 + 7 =
  28. 28.12 × 9 + 3 =
  29. 29.12345679 × 27 =
  30. 30.37 × 12 =
  31. 31.11111 × 11111 =
  32. 32.37 × 24 =
  33. 33.1234 × 9 + 5 =
  34. 34.37 × 9 =
  35. 35.37 × 27 =
  36. 36.1234 × 8 + 4 =
  37. 37.111111 × 111111 =
  38. 38.123456789 × 8 + 9 =
  39. 39.37 × 18 =
  40. 40.37 × 12 =

Answer key

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

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