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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 588 · 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. 2.1234567 × 9 + 8 =
  3. 3.123 × 9 + 4 =
  4. 4.37 × 18 =
  5. 5.1234 × 9 + 5 =
  6. 6.111 × 111 =
  7. 7.37 × 21 =
  8. 8.12345679 × 9 =
  9. 9.37 × 15 =
  10. 10.12345679 × 45 =
  11. 11.37 × 9 =
  12. 12.123456 × 8 + 6 =
  13. 13.1234 × 8 + 4 =
  14. 14.123456 × 9 + 7 =
  15. 15.123456789 × 8 + 9 =
  16. 16.1111 × 1111 =
  17. 17.12345 × 9 + 6 =
  18. 18.12345679 × 36 =
  19. 19.12345678 × 8 + 8 =
  20. 20.37 × 27 =
  21. 21.12345679 × 18 =
  22. 22.12345679 × 54 =
  23. 23.37 × 3 =
  24. 24.12 × 8 + 2 =
  25. 25.12345679 × 63 =
  26. 26.12 × 9 + 3 =
  27. 27.37 × 6 =
  28. 28.11111 × 11111 =
  29. 29.12345678 × 9 + 9 =
  30. 30.12345679 × 72 =
  31. 31.37 × 12 =
  32. 32.37 × 24 =
  33. 33.111111 × 111111 =
  34. 34.11 × 11 =
  35. 35.111 × 111 =
  36. 36.12345679 × 27 =
  37. 37.12345 × 8 + 5 =
  38. 38.12345679 × 81 =
  39. 39.123 × 8 + 3 =
  40. 40.1234567 × 9 + 8 =

Answer key

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

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