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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 314 · 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. 1.123456 × 8 + 6 =
  2. 2.12345679 × 36 =
  3. 3.11 × 11 =
  4. 4.12345679 × 18 =
  5. 5.12 × 9 + 3 =
  6. 6.123 × 9 + 4 =
  7. 7.12345678 × 9 + 9 =
  8. 8.1234 × 8 + 4 =
  9. 9.1234567 × 9 + 8 =
  10. 10.111111 × 111111 =
  11. 11.12345679 × 81 =
  12. 12.12345678 × 8 + 8 =
  13. 13.37 × 27 =
  14. 14.123 × 8 + 3 =
  15. 15.12345679 × 27 =
  16. 16.11111 × 11111 =
  17. 17.37 × 9 =
  18. 18.37 × 3 =
  19. 19.12345 × 8 + 5 =
  20. 20.12345679 × 54 =
  21. 21.37 × 15 =
  22. 22.1234 × 9 + 5 =
  23. 23.123456 × 9 + 7 =
  24. 24.37 × 12 =
  25. 25.37 × 6 =
  26. 26.12345 × 9 + 6 =
  27. 27.37 × 21 =
  28. 28.1111 × 1111 =
  29. 29.12345679 × 72 =
  30. 30.37 × 18 =
  31. 31.111 × 111 =
  32. 32.123456789 × 8 + 9 =
  33. 33.37 × 24 =
  34. 34.1234567 × 8 + 7 =
  35. 35.1111 × 1111 =
  36. 36.12345679 × 45 =
  37. 37.12345679 × 63 =
  38. 38.12 × 8 + 2 =
  39. 39.1234 × 9 + 5 =
  40. 40.37 × 6 =

Answer key

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

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