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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 97 · 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. 1.1234567 × 8 + 7 =
  2. 2.123 × 8 + 3 =
  3. 3.12345679 × 72 =
  4. 4.37 × 24 =
  5. 5.37 × 3 =
  6. 6.12345679 × 9 =
  7. 7.12345678 × 8 + 8 =
  8. 8.12345 × 9 + 6 =
  9. 9.1234567 × 9 + 8 =
  10. 10.111 × 111 =
  11. 11.123456 × 9 + 7 =
  12. 12.37 × 21 =
  13. 13.12345679 × 45 =
  14. 14.11 × 11 =
  15. 15.12345679 × 54 =
  16. 16.12345679 × 63 =
  17. 17.123 × 9 + 4 =
  18. 18.11111 × 11111 =
  19. 19.1234 × 8 + 4 =
  20. 20.12345679 × 81 =
  21. 21.1111 × 1111 =
  22. 22.37 × 27 =
  23. 23.12345 × 8 + 5 =
  24. 24.123456 × 8 + 6 =
  25. 25.12345679 × 27 =
  26. 26.12 × 9 + 3 =
  27. 27.37 × 6 =
  28. 28.12345678 × 9 + 9 =
  29. 29.1234 × 9 + 5 =
  30. 30.12345679 × 36 =
  31. 31.111111 × 111111 =
  32. 32.12345679 × 18 =
  33. 33.37 × 12 =
  34. 34.37 × 9 =
  35. 35.37 × 18 =
  36. 36.12 × 8 + 2 =
  37. 37.123456789 × 8 + 9 =
  38. 38.37 × 21 =
  39. 39.111 × 111 =
  40. 40.11111 × 11111 =

Answer key

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

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