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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 442 · 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 × 27 =
  3. 3.37 × 3 =
  4. 4.12345679 × 81 =
  5. 5.123 × 8 + 3 =
  6. 6.12 × 8 + 2 =
  7. 7.111 × 111 =
  8. 8.37 × 9 =
  9. 9.12345679 × 18 =
  10. 10.111111 × 111111 =
  11. 11.37 × 18 =
  12. 12.12345679 × 63 =
  13. 13.37 × 21 =
  14. 14.37 × 24 =
  15. 15.123 × 9 + 4 =
  16. 16.12345679 × 72 =
  17. 17.1111 × 1111 =
  18. 18.1234567 × 8 + 7 =
  19. 19.1234567 × 9 + 8 =
  20. 20.123456789 × 8 + 9 =
  21. 21.11 × 11 =
  22. 22.37 × 12 =
  23. 23.123456 × 8 + 6 =
  24. 24.1234 × 9 + 5 =
  25. 25.11111 × 11111 =
  26. 26.12 × 9 + 3 =
  27. 27.12345679 × 54 =
  28. 28.37 × 15 =
  29. 29.12345678 × 8 + 8 =
  30. 30.12345 × 8 + 5 =
  31. 31.37 × 6 =
  32. 32.12345679 × 45 =
  33. 33.12345679 × 9 =
  34. 34.1234567 × 9 + 8 =
  35. 35.12345679 × 72 =
  36. 36.12345679 × 36 =
  37. 37.12345678 × 9 + 9 =
  38. 38.1234 × 8 + 4 =
  39. 39.1234 × 9 + 5 =
  40. 40.1234 × 8 + 4 =

Answer key

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

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