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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 20 · 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. 2.1234567 × 8 + 7 =
  3. 3.12 × 9 + 3 =
  4. 4.37 × 3 =
  5. 5.111111 × 111111 =
  6. 6.12345679 × 54 =
  7. 7.123 × 9 + 4 =
  8. 8.12345679 × 27 =
  9. 9.111 × 111 =
  10. 10.1234567 × 9 + 8 =
  11. 11.12345679 × 9 =
  12. 12.12 × 8 + 2 =
  13. 13.12345 × 8 + 5 =
  14. 14.123456789 × 8 + 9 =
  15. 15.11 × 11 =
  16. 16.12345678 × 8 + 8 =
  17. 17.1111 × 1111 =
  18. 18.11111 × 11111 =
  19. 19.12345678 × 9 + 9 =
  20. 20.37 × 18 =
  21. 21.12345679 × 18 =
  22. 22.12345679 × 63 =
  23. 23.123456 × 8 + 6 =
  24. 24.37 × 9 =
  25. 25.37 × 21 =
  26. 26.1234 × 8 + 4 =
  27. 27.37 × 6 =
  28. 28.37 × 15 =
  29. 29.12345679 × 81 =
  30. 30.12345679 × 72 =
  31. 31.37 × 24 =
  32. 32.123456 × 9 + 7 =
  33. 33.12345679 × 45 =
  34. 34.1234 × 9 + 5 =
  35. 35.37 × 27 =
  36. 36.37 × 12 =
  37. 37.123 × 8 + 3 =
  38. 38.12345679 × 81 =
  39. 39.12345678 × 8 + 8 =
  40. 40.37 × 15 =

Answer key

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

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