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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 749 · 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 × 3 =
  3. 3.37 × 6 =
  4. 4.12345679 × 9 =
  5. 5.37 × 21 =
  6. 6.11 × 11 =
  7. 7.12345679 × 18 =
  8. 8.12345678 × 9 + 9 =
  9. 9.12345679 × 36 =
  10. 10.12345 × 8 + 5 =
  11. 11.123 × 8 + 3 =
  12. 12.37 × 27 =
  13. 13.12345679 × 72 =
  14. 14.123456 × 8 + 6 =
  15. 15.123456789 × 8 + 9 =
  16. 16.37 × 24 =
  17. 17.12345679 × 27 =
  18. 18.111 × 111 =
  19. 19.12 × 9 + 3 =
  20. 20.37 × 9 =
  21. 21.12345678 × 8 + 8 =
  22. 22.123 × 9 + 4 =
  23. 23.1234567 × 9 + 8 =
  24. 24.37 × 15 =
  25. 25.1111 × 1111 =
  26. 26.12345679 × 45 =
  27. 27.37 × 18 =
  28. 28.12345679 × 63 =
  29. 29.1234567 × 8 + 7 =
  30. 30.12 × 8 + 2 =
  31. 31.12345679 × 54 =
  32. 32.111111 × 111111 =
  33. 33.1234 × 9 + 5 =
  34. 34.1234 × 8 + 4 =
  35. 35.12345679 × 81 =
  36. 36.11111 × 11111 =
  37. 37.37 × 12 =
  38. 38.123 × 8 + 3 =
  39. 39.37 × 18 =
  40. 40.12345679 × 63 =

Answer key

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

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