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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 171 · 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 × 63 =
  2. 2.37 × 27 =
  3. 3.12345 × 8 + 5 =
  4. 4.12345678 × 9 + 9 =
  5. 5.12345679 × 27 =
  6. 6.1234 × 8 + 4 =
  7. 7.11111 × 11111 =
  8. 8.12 × 9 + 3 =
  9. 9.12345679 × 36 =
  10. 10.11 × 11 =
  11. 11.12345 × 9 + 6 =
  12. 12.1234 × 9 + 5 =
  13. 13.12345679 × 9 =
  14. 14.12345679 × 54 =
  15. 15.12 × 8 + 2 =
  16. 16.37 × 9 =
  17. 17.12345679 × 81 =
  18. 18.123 × 8 + 3 =
  19. 19.123456 × 8 + 6 =
  20. 20.111111 × 111111 =
  21. 21.37 × 6 =
  22. 22.12345679 × 72 =
  23. 23.111 × 111 =
  24. 24.12345679 × 45 =
  25. 25.37 × 21 =
  26. 26.12345679 × 18 =
  27. 27.37 × 18 =
  28. 28.37 × 12 =
  29. 29.1111 × 1111 =
  30. 30.1234567 × 9 + 8 =
  31. 31.1234567 × 8 + 7 =
  32. 32.37 × 3 =
  33. 33.123456789 × 8 + 9 =
  34. 34.1111 × 1111 =
  35. 35.37 × 24 =
  36. 36.12345679 × 72 =
  37. 37.37 × 15 =
  38. 38.123456 × 9 + 7 =
  39. 39.12345678 × 8 + 8 =
  40. 40.123 × 9 + 4 =

Answer key

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

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