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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 727 · 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 × 54 =
  3. 3.12345678 × 9 + 9 =
  4. 4.111111 × 111111 =
  5. 5.12345679 × 63 =
  6. 6.1111 × 1111 =
  7. 7.123 × 9 + 4 =
  8. 8.123456 × 9 + 7 =
  9. 9.12345679 × 81 =
  10. 10.37 × 3 =
  11. 11.12345679 × 45 =
  12. 12.11 × 11 =
  13. 13.11111 × 11111 =
  14. 14.123 × 8 + 3 =
  15. 15.37 × 12 =
  16. 16.123456789 × 8 + 9 =
  17. 17.12345 × 8 + 5 =
  18. 18.12 × 9 + 3 =
  19. 19.12345 × 9 + 6 =
  20. 20.111 × 111 =
  21. 21.37 × 6 =
  22. 22.12345679 × 36 =
  23. 23.37 × 9 =
  24. 24.12345678 × 8 + 8 =
  25. 25.12345679 × 72 =
  26. 26.12345679 × 9 =
  27. 27.1234567 × 9 + 8 =
  28. 28.1234 × 8 + 4 =
  29. 29.37 × 24 =
  30. 30.37 × 27 =
  31. 31.12345679 × 27 =
  32. 32.123456 × 8 + 6 =
  33. 33.123456789 × 8 + 9 =
  34. 34.1234567 × 8 + 7 =
  35. 35.12345679 × 18 =
  36. 36.12345679 × 72 =
  37. 37.1111 × 1111 =
  38. 38.37 × 15 =
  39. 39.37 × 21 =
  40. 40.12345679 × 27 =

Answer key

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

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