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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 613 · 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 × 9 + 8 =
  2. 2.11 × 11 =
  3. 3.12 × 9 + 3 =
  4. 4.11111 × 11111 =
  5. 5.12345679 × 81 =
  6. 6.12345679 × 27 =
  7. 7.1111 × 1111 =
  8. 8.12 × 8 + 2 =
  9. 9.37 × 18 =
  10. 10.123 × 9 + 4 =
  11. 11.1234 × 8 + 4 =
  12. 12.123 × 8 + 3 =
  13. 13.12345 × 9 + 6 =
  14. 14.37 × 15 =
  15. 15.1234567 × 8 + 7 =
  16. 16.12345679 × 63 =
  17. 17.37 × 12 =
  18. 18.37 × 24 =
  19. 19.123456 × 8 + 6 =
  20. 20.37 × 9 =
  21. 21.12345679 × 9 =
  22. 22.12345 × 8 + 5 =
  23. 23.12345679 × 54 =
  24. 24.12345679 × 18 =
  25. 25.37 × 21 =
  26. 26.37 × 6 =
  27. 27.123456789 × 8 + 9 =
  28. 28.37 × 27 =
  29. 29.111111 × 111111 =
  30. 30.12345679 × 36 =
  31. 31.111 × 111 =
  32. 32.12345678 × 9 + 9 =
  33. 33.123456 × 9 + 7 =
  34. 34.12345679 × 72 =
  35. 35.1234 × 9 + 5 =
  36. 36.12345679 × 45 =
  37. 37.12345679 × 9 =
  38. 38.11111 × 11111 =
  39. 39.12345679 × 18 =
  40. 40.12 × 9 + 3 =

Answer key

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

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