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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 249 · 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 × 54 =
  2. 2.12345679 × 81 =
  3. 3.12345678 × 8 + 8 =
  4. 4.37 × 18 =
  5. 5.123456789 × 8 + 9 =
  6. 6.37 × 6 =
  7. 7.1234567 × 9 + 8 =
  8. 8.1111 × 1111 =
  9. 9.12 × 9 + 3 =
  10. 10.12345 × 8 + 5 =
  11. 11.12 × 8 + 2 =
  12. 12.111111 × 111111 =
  13. 13.1234 × 8 + 4 =
  14. 14.12345679 × 9 =
  15. 15.123456 × 9 + 7 =
  16. 16.37 × 3 =
  17. 17.37 × 24 =
  18. 18.12345679 × 63 =
  19. 19.123 × 8 + 3 =
  20. 20.12345678 × 9 + 9 =
  21. 21.111 × 111 =
  22. 22.11111 × 11111 =
  23. 23.37 × 9 =
  24. 24.11 × 11 =
  25. 25.1234567 × 8 + 7 =
  26. 26.12345679 × 27 =
  27. 27.12345 × 9 + 6 =
  28. 28.37 × 15 =
  29. 29.12345679 × 36 =
  30. 30.37 × 21 =
  31. 31.37 × 12 =
  32. 32.123 × 9 + 4 =
  33. 33.1234 × 9 + 5 =
  34. 34.12345679 × 45 =
  35. 35.12345679 × 18 =
  36. 36.12345679 × 72 =
  37. 37.12 × 9 + 3 =
  38. 38.123 × 8 + 3 =
  39. 39.123456 × 8 + 6 =
  40. 40.37 × 27 =

Answer key

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

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