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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 165 · 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. 1.11 × 11 =
  2. 2.11111 × 11111 =
  3. 3.12345679 × 18 =
  4. 4.12345679 × 81 =
  5. 5.37 × 6 =
  6. 6.1234 × 9 + 5 =
  7. 7.12 × 8 + 2 =
  8. 8.37 × 9 =
  9. 9.12345679 × 72 =
  10. 10.37 × 18 =
  11. 11.37 × 15 =
  12. 12.37 × 24 =
  13. 13.12345678 × 9 + 9 =
  14. 14.123456 × 8 + 6 =
  15. 15.37 × 3 =
  16. 16.123456789 × 8 + 9 =
  17. 17.37 × 27 =
  18. 18.123 × 8 + 3 =
  19. 19.12345679 × 54 =
  20. 20.12345679 × 45 =
  21. 21.12345678 × 8 + 8 =
  22. 22.1111 × 1111 =
  23. 23.12345 × 9 + 6 =
  24. 24.37 × 21 =
  25. 25.123456 × 9 + 7 =
  26. 26.111 × 111 =
  27. 27.37 × 12 =
  28. 28.12345679 × 63 =
  29. 29.12345679 × 36 =
  30. 30.1234 × 8 + 4 =
  31. 31.1234567 × 9 + 8 =
  32. 32.123 × 9 + 4 =
  33. 33.12 × 9 + 3 =
  34. 34.111111 × 111111 =
  35. 35.1234567 × 8 + 7 =
  36. 36.12345679 × 9 =
  37. 37.1111 × 1111 =
  38. 38.12345679 × 27 =
  39. 39.12345 × 8 + 5 =
  40. 40.12345678 × 9 + 9 =

Answer key

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

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