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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 258 · 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. 1.123456789 × 8 + 9 =
  2. 2.37 × 3 =
  3. 3.123 × 9 + 4 =
  4. 4.11 × 11 =
  5. 5.12345678 × 8 + 8 =
  6. 6.12 × 8 + 2 =
  7. 7.12345679 × 18 =
  8. 8.37 × 21 =
  9. 9.111111 × 111111 =
  10. 10.37 × 12 =
  11. 11.12345679 × 45 =
  12. 12.12345 × 9 + 6 =
  13. 13.123 × 8 + 3 =
  14. 14.37 × 24 =
  15. 15.37 × 6 =
  16. 16.111 × 111 =
  17. 17.1111 × 1111 =
  18. 18.37 × 18 =
  19. 19.12345679 × 72 =
  20. 20.12345679 × 9 =
  21. 21.37 × 27 =
  22. 22.12345 × 8 + 5 =
  23. 23.1234567 × 9 + 8 =
  24. 24.12345679 × 63 =
  25. 25.12345679 × 27 =
  26. 26.123456 × 8 + 6 =
  27. 27.12345678 × 9 + 9 =
  28. 28.1234 × 8 + 4 =
  29. 29.12 × 9 + 3 =
  30. 30.1234 × 9 + 5 =
  31. 31.11111 × 11111 =
  32. 32.123456789 × 8 + 9 =
  33. 33.12345679 × 54 =
  34. 34.123456 × 9 + 7 =
  35. 35.12345679 × 81 =
  36. 36.12 × 8 + 2 =
  37. 37.123456 × 8 + 6 =
  38. 38.1234567 × 8 + 7 =
  39. 39.111 × 111 =
  40. 40.37 × 9 =

Answer key

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

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