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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 210 · 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 × 18 =
  2. 2.37 × 27 =
  3. 3.111 × 111 =
  4. 4.11 × 11 =
  5. 5.12 × 9 + 3 =
  6. 6.37 × 21 =
  7. 7.12345679 × 72 =
  8. 8.12345 × 8 + 5 =
  9. 9.1234 × 9 + 5 =
  10. 10.12345679 × 63 =
  11. 11.1111 × 1111 =
  12. 12.123456789 × 8 + 9 =
  13. 13.37 × 6 =
  14. 14.12345 × 9 + 6 =
  15. 15.12345679 × 36 =
  16. 16.1234 × 8 + 4 =
  17. 17.1234567 × 9 + 8 =
  18. 18.12345679 × 81 =
  19. 19.111111 × 111111 =
  20. 20.123 × 8 + 3 =
  21. 21.37 × 3 =
  22. 22.12345679 × 9 =
  23. 23.12345679 × 54 =
  24. 24.12345679 × 27 =
  25. 25.11111 × 11111 =
  26. 26.37 × 18 =
  27. 27.123456 × 8 + 6 =
  28. 28.37 × 9 =
  29. 29.37 × 12 =
  30. 30.37 × 24 =
  31. 31.123456 × 9 + 7 =
  32. 32.12345679 × 45 =
  33. 33.1234567 × 8 + 7 =
  34. 34.12345678 × 9 + 9 =
  35. 35.37 × 15 =
  36. 36.1111 × 1111 =
  37. 37.123 × 9 + 4 =
  38. 38.12345679 × 81 =
  39. 39.12 × 9 + 3 =
  40. 40.111 × 111 =

Answer key

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

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