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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 45 · 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 × 54 =
  2. 2.1234567 × 8 + 7 =
  3. 3.37 × 15 =
  4. 4.123 × 9 + 4 =
  5. 5.12345678 × 9 + 9 =
  6. 6.12345679 × 18 =
  7. 7.1234 × 8 + 4 =
  8. 8.111 × 111 =
  9. 9.123456789 × 8 + 9 =
  10. 10.12345 × 9 + 6 =
  11. 11.111111 × 111111 =
  12. 12.1234567 × 9 + 8 =
  13. 13.12 × 9 + 3 =
  14. 14.123 × 8 + 3 =
  15. 15.12345679 × 36 =
  16. 16.12345678 × 8 + 8 =
  17. 17.37 × 24 =
  18. 18.37 × 3 =
  19. 19.12345 × 8 + 5 =
  20. 20.37 × 18 =
  21. 21.12345679 × 45 =
  22. 22.37 × 6 =
  23. 23.37 × 21 =
  24. 24.11111 × 11111 =
  25. 25.12345679 × 81 =
  26. 26.1111 × 1111 =
  27. 27.123456 × 9 + 7 =
  28. 28.12345679 × 9 =
  29. 29.11 × 11 =
  30. 30.12345679 × 27 =
  31. 31.12345679 × 72 =
  32. 32.37 × 9 =
  33. 33.37 × 27 =
  34. 34.1234 × 9 + 5 =
  35. 35.12345678 × 8 + 8 =
  36. 36.12345679 × 63 =
  37. 37.37 × 12 =
  38. 38.11 × 11 =
  39. 39.12345679 × 54 =
  40. 40.12345678 × 8 + 8 =

Answer key

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

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