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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 680 · 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. 1.12345679 × 27 =
  2. 2.123456 × 9 + 7 =
  3. 3.111111 × 111111 =
  4. 4.1234567 × 8 + 7 =
  5. 5.123 × 8 + 3 =
  6. 6.37 × 3 =
  7. 7.12 × 8 + 2 =
  8. 8.11111 × 11111 =
  9. 9.1234567 × 9 + 8 =
  10. 10.1234 × 8 + 4 =
  11. 11.37 × 6 =
  12. 12.12345679 × 45 =
  13. 13.12345679 × 18 =
  14. 14.111 × 111 =
  15. 15.12345679 × 72 =
  16. 16.1111 × 1111 =
  17. 17.12345679 × 54 =
  18. 18.37 × 12 =
  19. 19.12 × 9 + 3 =
  20. 20.12345679 × 81 =
  21. 21.11 × 11 =
  22. 22.12345678 × 9 + 9 =
  23. 23.12345679 × 36 =
  24. 24.123 × 9 + 4 =
  25. 25.123456 × 8 + 6 =
  26. 26.37 × 24 =
  27. 27.37 × 9 =
  28. 28.12345679 × 63 =
  29. 29.123 × 8 + 3 =
  30. 30.37 × 15 =
  31. 31.12345678 × 8 + 8 =
  32. 32.1234 × 9 + 5 =
  33. 33.12345679 × 9 =
  34. 34.123456789 × 8 + 9 =
  35. 35.12345 × 8 + 5 =
  36. 36.111 × 111 =
  37. 37.12345679 × 81 =
  38. 38.12345 × 9 + 6 =
  39. 39.37 × 18 =
  40. 40.12345679 × 45 =

Answer key

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

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