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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 558 · 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. 2.37 × 6 =
  3. 3.1111 × 1111 =
  4. 4.12345679 × 36 =
  5. 5.11 × 11 =
  6. 6.12 × 9 + 3 =
  7. 7.12345679 × 54 =
  8. 8.12345679 × 45 =
  9. 9.12345 × 8 + 5 =
  10. 10.111111 × 111111 =
  11. 11.12345679 × 81 =
  12. 12.1234 × 9 + 5 =
  13. 13.12 × 8 + 2 =
  14. 14.37 × 21 =
  15. 15.12345 × 9 + 6 =
  16. 16.12345679 × 63 =
  17. 17.11111 × 11111 =
  18. 18.12345679 × 72 =
  19. 19.1234567 × 9 + 8 =
  20. 20.123456 × 9 + 7 =
  21. 21.37 × 3 =
  22. 22.12345678 × 8 + 8 =
  23. 23.12345679 × 18 =
  24. 24.123 × 8 + 3 =
  25. 25.123456 × 8 + 6 =
  26. 26.12345678 × 9 + 9 =
  27. 27.37 × 9 =
  28. 28.1234 × 8 + 4 =
  29. 29.12345679 × 18 =
  30. 30.123 × 9 + 4 =
  31. 31.12345679 × 9 =
  32. 32.37 × 27 =
  33. 33.37 × 12 =
  34. 34.37 × 24 =
  35. 35.111 × 111 =
  36. 36.123456789 × 8 + 9 =
  37. 37.37 × 18 =
  38. 38.37 × 15 =
  39. 39.12345679 × 27 =
  40. 40.12345 × 9 + 6 =

Answer key

  1. 9876543
  2. 222
  3. 1234321
  4. 444444444
  5. 121
  6. 111
  7. 666666666
  8. 555555555
  9. 98765
  10. 12345654321
  11. 999999999
  12. 11111
  13. 98
  14. 777
  15. 111111
  16. 777777777
  17. 123454321
  18. 888888888
  19. 11111111
  20. 1111111
  21. 111
  22. 98765432
  23. 222222222
  24. 987
  25. 987654
  26. 111111111
  27. 333
  28. 9876
  29. 222222222
  30. 1111
  31. 111111111
  32. 999
  33. 444
  34. 888
  35. 12321
  36. 987654321
  37. 666
  38. 555
  39. 333333333
  40. 111111

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