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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 473 · 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. 1.11111 × 11111 =
  2. 2.111111 × 111111 =
  3. 3.1234567 × 8 + 7 =
  4. 4.12 × 9 + 3 =
  5. 5.12 × 8 + 2 =
  6. 6.12345679 × 72 =
  7. 7.37 × 21 =
  8. 8.1234 × 9 + 5 =
  9. 9.123456789 × 8 + 9 =
  10. 10.12345679 × 9 =
  11. 11.12345679 × 54 =
  12. 12.37 × 24 =
  13. 13.1234 × 8 + 4 =
  14. 14.123 × 9 + 4 =
  15. 15.12345 × 8 + 5 =
  16. 16.11 × 11 =
  17. 17.37 × 3 =
  18. 18.37 × 27 =
  19. 19.123 × 8 + 3 =
  20. 20.37 × 9 =
  21. 21.111 × 111 =
  22. 22.37 × 6 =
  23. 23.123456 × 9 + 7 =
  24. 24.12345679 × 45 =
  25. 25.123456 × 8 + 6 =
  26. 26.12345679 × 18 =
  27. 27.37 × 18 =
  28. 28.12345678 × 8 + 8 =
  29. 29.1234567 × 9 + 8 =
  30. 30.12345679 × 63 =
  31. 31.12345679 × 27 =
  32. 32.37 × 15 =
  33. 33.37 × 21 =
  34. 34.12345679 × 81 =
  35. 35.11 × 11 =
  36. 36.12345 × 9 + 6 =
  37. 37.1111 × 1111 =
  38. 38.37 × 12 =
  39. 39.12345679 × 36 =
  40. 40.12345679 × 36 =

Answer key

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

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