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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 53 · 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. 2.12345679 × 54 =
  3. 3.11 × 11 =
  4. 4.11111 × 11111 =
  5. 5.12345 × 9 + 6 =
  6. 6.123 × 9 + 4 =
  7. 7.37 × 21 =
  8. 8.12345679 × 18 =
  9. 9.37 × 27 =
  10. 10.37 × 12 =
  11. 11.12345679 × 9 =
  12. 12.12345679 × 45 =
  13. 13.111 × 111 =
  14. 14.37 × 18 =
  15. 15.123456789 × 8 + 9 =
  16. 16.123 × 8 + 3 =
  17. 17.12 × 8 + 2 =
  18. 18.12345679 × 63 =
  19. 19.1234567 × 9 + 8 =
  20. 20.12345678 × 8 + 8 =
  21. 21.123456 × 9 + 7 =
  22. 22.37 × 9 =
  23. 23.1234 × 9 + 5 =
  24. 24.37 × 6 =
  25. 25.37 × 24 =
  26. 26.12345679 × 36 =
  27. 27.12 × 9 + 3 =
  28. 28.12345679 × 72 =
  29. 29.123456 × 8 + 6 =
  30. 30.37 × 15 =
  31. 31.111111 × 111111 =
  32. 32.1111 × 1111 =
  33. 33.1234567 × 8 + 7 =
  34. 34.37 × 27 =
  35. 35.12345 × 8 + 5 =
  36. 36.12345 × 9 + 6 =
  37. 37.12345 × 9 + 6 =
  38. 38.12345679 × 27 =
  39. 39.37 × 12 =
  40. 40.12345 × 8 + 5 =

Answer key

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

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