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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 742 · 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. 2.111 × 111 =
  3. 3.12345679 × 72 =
  4. 4.12 × 9 + 3 =
  5. 5.11 × 11 =
  6. 6.37 × 3 =
  7. 7.12345679 × 54 =
  8. 8.12345679 × 63 =
  9. 9.12345679 × 27 =
  10. 10.12345679 × 18 =
  11. 11.12 × 8 + 2 =
  12. 12.1234567 × 8 + 7 =
  13. 13.37 × 27 =
  14. 14.1111 × 1111 =
  15. 15.123456 × 9 + 7 =
  16. 16.123 × 8 + 3 =
  17. 17.12345679 × 45 =
  18. 18.11111 × 11111 =
  19. 19.12345679 × 9 =
  20. 20.37 × 12 =
  21. 21.1234567 × 9 + 8 =
  22. 22.12345678 × 9 + 9 =
  23. 23.12345 × 9 + 6 =
  24. 24.123456 × 8 + 6 =
  25. 25.12345679 × 36 =
  26. 26.37 × 24 =
  27. 27.37 × 6 =
  28. 28.37 × 21 =
  29. 29.111111 × 111111 =
  30. 30.37 × 9 =
  31. 31.12345679 × 81 =
  32. 32.37 × 18 =
  33. 33.12345678 × 8 + 8 =
  34. 34.37 × 15 =
  35. 35.12 × 8 + 2 =
  36. 36.123456789 × 8 + 9 =
  37. 37.1234 × 9 + 5 =
  38. 38.12345679 × 81 =
  39. 39.12345 × 8 + 5 =
  40. 40.12345678 × 8 + 8 =

Answer key

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

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