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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 460 · 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. 2.12345678 × 8 + 8 =
  3. 3.1234567 × 9 + 8 =
  4. 4.1234567 × 8 + 7 =
  5. 5.12345679 × 45 =
  6. 6.12345679 × 63 =
  7. 7.111 × 111 =
  8. 8.37 × 6 =
  9. 9.37 × 24 =
  10. 10.37 × 21 =
  11. 11.12 × 9 + 3 =
  12. 12.12345679 × 18 =
  13. 13.37 × 15 =
  14. 14.11 × 11 =
  15. 15.1234 × 8 + 4 =
  16. 16.1234 × 9 + 5 =
  17. 17.123456 × 9 + 7 =
  18. 18.12 × 8 + 2 =
  19. 19.12345 × 8 + 5 =
  20. 20.12345679 × 81 =
  21. 21.1111 × 1111 =
  22. 22.12345679 × 9 =
  23. 23.11111 × 11111 =
  24. 24.37 × 18 =
  25. 25.12345679 × 36 =
  26. 26.12345679 × 27 =
  27. 27.37 × 9 =
  28. 28.123456 × 8 + 6 =
  29. 29.37 × 12 =
  30. 30.37 × 27 =
  31. 31.111111 × 111111 =
  32. 32.12345679 × 63 =
  33. 33.12345679 × 72 =
  34. 34.37 × 3 =
  35. 35.12 × 9 + 3 =
  36. 36.12345 × 9 + 6 =
  37. 37.12345678 × 9 + 9 =
  38. 38.12345679 × 63 =
  39. 39.123 × 9 + 4 =
  40. 40.123 × 8 + 3 =

Answer key

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

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