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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 34 · 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. 2.12345679 × 54 =
  3. 3.111 × 111 =
  4. 4.1234567 × 8 + 7 =
  5. 5.123 × 9 + 4 =
  6. 6.1234 × 8 + 4 =
  7. 7.37 × 9 =
  8. 8.12345679 × 81 =
  9. 9.12345679 × 18 =
  10. 10.1234 × 9 + 5 =
  11. 11.12 × 8 + 2 =
  12. 12.12345679 × 27 =
  13. 13.123456789 × 8 + 9 =
  14. 14.111111 × 111111 =
  15. 15.1111 × 1111 =
  16. 16.12345679 × 45 =
  17. 17.12345679 × 9 =
  18. 18.11111 × 11111 =
  19. 19.1234567 × 9 + 8 =
  20. 20.11 × 11 =
  21. 21.123 × 8 + 3 =
  22. 22.12345679 × 63 =
  23. 23.12345678 × 9 + 9 =
  24. 24.37 × 18 =
  25. 25.37 × 21 =
  26. 26.37 × 15 =
  27. 27.12 × 9 + 3 =
  28. 28.12345 × 9 + 6 =
  29. 29.12345 × 8 + 5 =
  30. 30.123456 × 8 + 6 =
  31. 31.123456 × 9 + 7 =
  32. 32.37 × 6 =
  33. 33.37 × 3 =
  34. 34.37 × 27 =
  35. 35.12345679 × 9 =
  36. 36.12345679 × 72 =
  37. 37.37 × 12 =
  38. 38.37 × 24 =
  39. 39.12345678 × 8 + 8 =
  40. 40.1111 × 1111 =

Answer key

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

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