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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 41 · 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 × 18 =
  2. 2.12345678 × 9 + 9 =
  3. 3.12345 × 8 + 5 =
  4. 4.12345679 × 27 =
  5. 5.37 × 12 =
  6. 6.37 × 27 =
  7. 7.12345678 × 8 + 8 =
  8. 8.12345679 × 54 =
  9. 9.123456789 × 8 + 9 =
  10. 10.37 × 3 =
  11. 11.12345679 × 36 =
  12. 12.123456 × 8 + 6 =
  13. 13.111111 × 111111 =
  14. 14.12345679 × 81 =
  15. 15.37 × 15 =
  16. 16.1234 × 8 + 4 =
  17. 17.1234567 × 9 + 8 =
  18. 18.12345679 × 63 =
  19. 19.37 × 9 =
  20. 20.12 × 9 + 3 =
  21. 21.1234567 × 8 + 7 =
  22. 22.37 × 6 =
  23. 23.123456 × 9 + 7 =
  24. 24.12345679 × 9 =
  25. 25.11 × 11 =
  26. 26.1234 × 9 + 5 =
  27. 27.111 × 111 =
  28. 28.12 × 8 + 2 =
  29. 29.12345679 × 45 =
  30. 30.37 × 18 =
  31. 31.12345679 × 72 =
  32. 32.123 × 9 + 4 =
  33. 33.37 × 24 =
  34. 34.12345679 × 18 =
  35. 35.12345 × 9 + 6 =
  36. 36.12345679 × 54 =
  37. 37.37 × 21 =
  38. 38.11111 × 11111 =
  39. 39.12345678 × 8 + 8 =
  40. 40.37 × 18 =

Answer key

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

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