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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 260 · 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. 1.123456789 × 8 + 9 =
  2. 2.12345 × 9 + 6 =
  3. 3.11 × 11 =
  4. 4.12345679 × 72 =
  5. 5.11111 × 11111 =
  6. 6.37 × 24 =
  7. 7.1234567 × 8 + 7 =
  8. 8.12345679 × 18 =
  9. 9.37 × 12 =
  10. 10.1234 × 9 + 5 =
  11. 11.111111 × 111111 =
  12. 12.1111 × 1111 =
  13. 13.12345679 × 27 =
  14. 14.12345678 × 8 + 8 =
  15. 15.12345679 × 45 =
  16. 16.12345679 × 81 =
  17. 17.37 × 6 =
  18. 18.12 × 9 + 3 =
  19. 19.1234 × 8 + 4 =
  20. 20.123456 × 8 + 6 =
  21. 21.37 × 3 =
  22. 22.123 × 8 + 3 =
  23. 23.12345679 × 54 =
  24. 24.12345679 × 63 =
  25. 25.12345679 × 36 =
  26. 26.37 × 21 =
  27. 27.12 × 8 + 2 =
  28. 28.37 × 27 =
  29. 29.12345678 × 9 + 9 =
  30. 30.12345 × 8 + 5 =
  31. 31.37 × 15 =
  32. 32.1234567 × 9 + 8 =
  33. 33.37 × 18 =
  34. 34.12345679 × 9 =
  35. 35.123456 × 9 + 7 =
  36. 36.123 × 9 + 4 =
  37. 37.111 × 111 =
  38. 38.37 × 21 =
  39. 39.37 × 9 =
  40. 40.1111 × 1111 =

Answer key

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

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