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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 123 · 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 × 36 =
  2. 2.37 × 27 =
  3. 3.37 × 3 =
  4. 4.12345678 × 9 + 9 =
  5. 5.37 × 6 =
  6. 6.12 × 8 + 2 =
  7. 7.37 × 9 =
  8. 8.37 × 12 =
  9. 9.1234567 × 9 + 8 =
  10. 10.1111 × 1111 =
  11. 11.12345679 × 45 =
  12. 12.123456789 × 8 + 9 =
  13. 13.11 × 11 =
  14. 14.1234 × 8 + 4 =
  15. 15.37 × 15 =
  16. 16.111 × 111 =
  17. 17.12345 × 9 + 6 =
  18. 18.123 × 9 + 4 =
  19. 19.37 × 18 =
  20. 20.111111 × 111111 =
  21. 21.12345679 × 81 =
  22. 22.12345679 × 18 =
  23. 23.12345679 × 27 =
  24. 24.12345679 × 72 =
  25. 25.12345679 × 54 =
  26. 26.37 × 21 =
  27. 27.11111 × 11111 =
  28. 28.12345678 × 8 + 8 =
  29. 29.12 × 9 + 3 =
  30. 30.123 × 8 + 3 =
  31. 31.1234567 × 8 + 7 =
  32. 32.12345 × 8 + 5 =
  33. 33.1234 × 9 + 5 =
  34. 34.12345679 × 9 =
  35. 35.123456 × 8 + 6 =
  36. 36.123456 × 9 + 7 =
  37. 37.123 × 8 + 3 =
  38. 38.111111 × 111111 =
  39. 39.111111 × 111111 =
  40. 40.37 × 24 =

Answer key

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

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