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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 129 · 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 × 8 + 5 =
  2. 2.12345 × 9 + 6 =
  3. 3.1234 × 9 + 5 =
  4. 4.1111 × 1111 =
  5. 5.11111 × 11111 =
  6. 6.37 × 15 =
  7. 7.123456 × 8 + 6 =
  8. 8.37 × 3 =
  9. 9.37 × 9 =
  10. 10.37 × 21 =
  11. 11.111 × 111 =
  12. 12.12345679 × 18 =
  13. 13.123456 × 9 + 7 =
  14. 14.12345679 × 27 =
  15. 15.1234 × 8 + 4 =
  16. 16.12 × 8 + 2 =
  17. 17.12345679 × 54 =
  18. 18.1234567 × 8 + 7 =
  19. 19.11 × 11 =
  20. 20.12345679 × 81 =
  21. 21.123 × 9 + 4 =
  22. 22.37 × 27 =
  23. 23.37 × 12 =
  24. 24.12345679 × 63 =
  25. 25.123 × 8 + 3 =
  26. 26.111111 × 111111 =
  27. 27.37 × 24 =
  28. 28.12345678 × 9 + 9 =
  29. 29.37 × 9 =
  30. 30.12345679 × 36 =
  31. 31.12345679 × 9 =
  32. 32.37 × 18 =
  33. 33.12345678 × 8 + 8 =
  34. 34.12 × 9 + 3 =
  35. 35.12345679 × 72 =
  36. 36.123456789 × 8 + 9 =
  37. 37.1234567 × 9 + 8 =
  38. 38.37 × 6 =
  39. 39.111111 × 111111 =
  40. 40.12345679 × 45 =

Answer key

  1. 98765
  2. 111111
  3. 11111
  4. 1234321
  5. 123454321
  6. 555
  7. 987654
  8. 111
  9. 333
  10. 777
  11. 12321
  12. 222222222
  13. 1111111
  14. 333333333
  15. 9876
  16. 98
  17. 666666666
  18. 9876543
  19. 121
  20. 999999999
  21. 1111
  22. 999
  23. 444
  24. 777777777
  25. 987
  26. 12345654321
  27. 888
  28. 111111111
  29. 333
  30. 444444444
  31. 111111111
  32. 666
  33. 98765432
  34. 111
  35. 888888888
  36. 987654321
  37. 11111111
  38. 222
  39. 12345654321
  40. 555555555

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