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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 287 · 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. 1.1234 × 8 + 4 =
  2. 2.37 × 15 =
  3. 3.12 × 8 + 2 =
  4. 4.12345 × 9 + 6 =
  5. 5.12345678 × 8 + 8 =
  6. 6.1111 × 1111 =
  7. 7.11111 × 11111 =
  8. 8.12 × 9 + 3 =
  9. 9.12345679 × 54 =
  10. 10.37 × 24 =
  11. 11.37 × 27 =
  12. 12.123 × 9 + 4 =
  13. 13.37 × 12 =
  14. 14.12345679 × 36 =
  15. 15.123456 × 8 + 6 =
  16. 16.123456 × 9 + 7 =
  17. 17.37 × 6 =
  18. 18.11 × 11 =
  19. 19.12345679 × 81 =
  20. 20.12345678 × 9 + 9 =
  21. 21.1234567 × 8 + 7 =
  22. 22.111 × 111 =
  23. 23.123 × 9 + 4 =
  24. 24.37 × 3 =
  25. 25.37 × 18 =
  26. 26.12345679 × 27 =
  27. 27.12345679 × 18 =
  28. 28.12345679 × 45 =
  29. 29.12345 × 8 + 5 =
  30. 30.37 × 21 =
  31. 31.12345679 × 63 =
  32. 32.111111 × 111111 =
  33. 33.123 × 8 + 3 =
  34. 34.123456789 × 8 + 9 =
  35. 35.37 × 9 =
  36. 36.1234 × 9 + 5 =
  37. 37.12345679 × 9 =
  38. 38.12345679 × 72 =
  39. 39.123456 × 8 + 6 =
  40. 40.111111 × 111111 =

Answer key

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

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