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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 646 · 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. 1.12345 × 9 + 6 =
  2. 2.37 × 18 =
  3. 3.37 × 12 =
  4. 4.12345679 × 63 =
  5. 5.123456 × 8 + 6 =
  6. 6.12345679 × 9 =
  7. 7.37 × 27 =
  8. 8.37 × 9 =
  9. 9.123456789 × 8 + 9 =
  10. 10.12345679 × 72 =
  11. 11.12 × 9 + 3 =
  12. 12.123456 × 9 + 7 =
  13. 13.111111 × 111111 =
  14. 14.12345679 × 45 =
  15. 15.37 × 15 =
  16. 16.1234 × 9 + 5 =
  17. 17.11 × 11 =
  18. 18.12 × 8 + 2 =
  19. 19.123 × 8 + 3 =
  20. 20.111 × 111 =
  21. 21.11111 × 11111 =
  22. 22.37 × 24 =
  23. 23.12345679 × 36 =
  24. 24.12345679 × 81 =
  25. 25.37 × 6 =
  26. 26.1234 × 8 + 4 =
  27. 27.123 × 9 + 4 =
  28. 28.12345 × 8 + 5 =
  29. 29.1111 × 1111 =
  30. 30.111 × 111 =
  31. 31.12345 × 8 + 5 =
  32. 32.111 × 111 =
  33. 33.37 × 21 =
  34. 34.12345678 × 9 + 9 =
  35. 35.12345679 × 54 =
  36. 36.12345679 × 81 =
  37. 37.37 × 3 =
  38. 38.12345679 × 27 =
  39. 39.37 × 12 =
  40. 40.12345679 × 18 =

Answer key

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

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