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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 144 · 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. 1.111 × 111 =
  2. 2.37 × 27 =
  3. 3.1234567 × 8 + 7 =
  4. 4.12 × 8 + 2 =
  5. 5.1234 × 9 + 5 =
  6. 6.12345678 × 9 + 9 =
  7. 7.12345679 × 72 =
  8. 8.12345679 × 54 =
  9. 9.37 × 6 =
  10. 10.123456 × 9 + 7 =
  11. 11.123456 × 8 + 6 =
  12. 12.11111 × 11111 =
  13. 13.12345679 × 27 =
  14. 14.12345679 × 63 =
  15. 15.37 × 15 =
  16. 16.111111 × 111111 =
  17. 17.1234567 × 9 + 8 =
  18. 18.37 × 12 =
  19. 19.12345679 × 45 =
  20. 20.12345679 × 36 =
  21. 21.12 × 9 + 3 =
  22. 22.123456789 × 8 + 9 =
  23. 23.12345679 × 81 =
  24. 24.123 × 8 + 3 =
  25. 25.37 × 24 =
  26. 26.12345678 × 8 + 8 =
  27. 27.12345 × 9 + 6 =
  28. 28.37 × 9 =
  29. 29.12345679 × 9 =
  30. 30.11 × 11 =
  31. 31.37 × 3 =
  32. 32.123 × 9 + 4 =
  33. 33.12345 × 8 + 5 =
  34. 34.37 × 21 =
  35. 35.37 × 18 =
  36. 36.12345679 × 54 =
  37. 37.123456 × 8 + 6 =
  38. 38.1111 × 1111 =
  39. 39.12345679 × 18 =
  40. 40.123 × 8 + 3 =

Answer key

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

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