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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 279 · 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. 1.1234567 × 8 + 7 =
  2. 2.123456 × 9 + 7 =
  3. 3.37 × 12 =
  4. 4.1234567 × 9 + 8 =
  5. 5.12345678 × 9 + 9 =
  6. 6.12345 × 9 + 6 =
  7. 7.37 × 3 =
  8. 8.111111 × 111111 =
  9. 9.11111 × 11111 =
  10. 10.1111 × 1111 =
  11. 11.12345679 × 81 =
  12. 12.12345678 × 8 + 8 =
  13. 13.37 × 18 =
  14. 14.12345679 × 18 =
  15. 15.37 × 24 =
  16. 16.12345679 × 63 =
  17. 17.123 × 9 + 4 =
  18. 18.12345679 × 54 =
  19. 19.37 × 6 =
  20. 20.12 × 8 + 2 =
  21. 21.123456789 × 8 + 9 =
  22. 22.12345679 × 9 =
  23. 23.123456 × 8 + 6 =
  24. 24.12345679 × 72 =
  25. 25.111 × 111 =
  26. 26.37 × 21 =
  27. 27.12 × 9 + 3 =
  28. 28.1234 × 8 + 4 =
  29. 29.37 × 27 =
  30. 30.1234 × 9 + 5 =
  31. 31.12345679 × 36 =
  32. 32.123 × 8 + 3 =
  33. 33.11 × 11 =
  34. 34.12345 × 8 + 5 =
  35. 35.12345679 × 72 =
  36. 36.123456789 × 8 + 9 =
  37. 37.12345679 × 72 =
  38. 38.37 × 9 =
  39. 39.1111 × 1111 =
  40. 40.12345679 × 81 =

Answer key

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

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