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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 244 · 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. 1.111111 × 111111 =
  2. 2.12 × 8 + 2 =
  3. 3.123456789 × 8 + 9 =
  4. 4.1234 × 9 + 5 =
  5. 5.12345678 × 8 + 8 =
  6. 6.12345 × 9 + 6 =
  7. 7.37 × 12 =
  8. 8.123 × 8 + 3 =
  9. 9.12345679 × 27 =
  10. 10.11111 × 11111 =
  11. 11.37 × 9 =
  12. 12.12345679 × 18 =
  13. 13.37 × 6 =
  14. 14.12345679 × 9 =
  15. 15.12345679 × 36 =
  16. 16.123456 × 9 + 7 =
  17. 17.37 × 3 =
  18. 18.37 × 24 =
  19. 19.12345679 × 72 =
  20. 20.12345679 × 81 =
  21. 21.1234567 × 9 + 8 =
  22. 22.1111 × 1111 =
  23. 23.1234567 × 8 + 7 =
  24. 24.123456 × 8 + 6 =
  25. 25.37 × 18 =
  26. 26.12345 × 8 + 5 =
  27. 27.11 × 11 =
  28. 28.123 × 9 + 4 =
  29. 29.12 × 9 + 3 =
  30. 30.37 × 15 =
  31. 31.111 × 111 =
  32. 32.12345679 × 45 =
  33. 33.12 × 9 + 3 =
  34. 34.12345679 × 54 =
  35. 35.1234567 × 8 + 7 =
  36. 36.12345 × 8 + 5 =
  37. 37.11 × 11 =
  38. 38.12345679 × 63 =
  39. 39.37 × 27 =
  40. 40.1234 × 8 + 4 =

Answer key

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

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