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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 26 · 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 × 81 =
  2. 2.111 × 111 =
  3. 3.1234 × 8 + 4 =
  4. 4.12 × 9 + 3 =
  5. 5.1234 × 9 + 5 =
  6. 6.12345679 × 54 =
  7. 7.1234567 × 8 + 7 =
  8. 8.123456789 × 8 + 9 =
  9. 9.11111 × 11111 =
  10. 10.37 × 21 =
  11. 11.37 × 6 =
  12. 12.37 × 15 =
  13. 13.1234567 × 9 + 8 =
  14. 14.12345679 × 18 =
  15. 15.37 × 24 =
  16. 16.12345 × 8 + 5 =
  17. 17.12345 × 9 + 6 =
  18. 18.37 × 12 =
  19. 19.12345678 × 8 + 8 =
  20. 20.37 × 3 =
  21. 21.1111 × 1111 =
  22. 22.37 × 27 =
  23. 23.123456 × 9 + 7 =
  24. 24.12345679 × 36 =
  25. 25.37 × 9 =
  26. 26.12345679 × 27 =
  27. 27.12345679 × 63 =
  28. 28.111111 × 111111 =
  29. 29.12345679 × 45 =
  30. 30.123 × 8 + 3 =
  31. 31.11 × 11 =
  32. 32.12345679 × 9 =
  33. 33.37 × 18 =
  34. 34.12 × 8 + 2 =
  35. 35.123 × 9 + 4 =
  36. 36.12345678 × 9 + 9 =
  37. 37.111111 × 111111 =
  38. 38.123456 × 8 + 6 =
  39. 39.123456 × 8 + 6 =
  40. 40.12345679 × 72 =

Answer key

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

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