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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 596 · 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. 1.12 × 8 + 2 =
  2. 2.12345679 × 63 =
  3. 3.11111 × 11111 =
  4. 4.123456789 × 8 + 9 =
  5. 5.123 × 9 + 4 =
  6. 6.12345679 × 27 =
  7. 7.12345679 × 54 =
  8. 8.1234 × 9 + 5 =
  9. 9.37 × 21 =
  10. 10.123 × 8 + 3 =
  11. 11.12345679 × 81 =
  12. 12.37 × 6 =
  13. 13.37 × 9 =
  14. 14.12345 × 8 + 5 =
  15. 15.37 × 24 =
  16. 16.12345678 × 9 + 9 =
  17. 17.1111 × 1111 =
  18. 18.111 × 111 =
  19. 19.37 × 3 =
  20. 20.11 × 11 =
  21. 21.12345679 × 45 =
  22. 22.123456 × 9 + 7 =
  23. 23.1234567 × 8 + 7 =
  24. 24.37 × 12 =
  25. 25.12345 × 9 + 6 =
  26. 26.12345679 × 18 =
  27. 27.37 × 15 =
  28. 28.37 × 18 =
  29. 29.12345679 × 9 =
  30. 30.1234567 × 9 + 8 =
  31. 31.1234 × 8 + 4 =
  32. 32.37 × 18 =
  33. 33.12345678 × 8 + 8 =
  34. 34.12345679 × 72 =
  35. 35.111111 × 111111 =
  36. 36.12345 × 8 + 5 =
  37. 37.123456 × 8 + 6 =
  38. 38.12 × 9 + 3 =
  39. 39.12345679 × 36 =
  40. 40.12345679 × 9 =

Answer key

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

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