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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 255 · 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. 1.12345678 × 8 + 8 =
  2. 2.12 × 9 + 3 =
  3. 3.12345 × 9 + 6 =
  4. 4.123456 × 9 + 7 =
  5. 5.37 × 6 =
  6. 6.1111 × 1111 =
  7. 7.12345679 × 27 =
  8. 8.12345678 × 9 + 9 =
  9. 9.12345679 × 9 =
  10. 10.111 × 111 =
  11. 11.1234 × 8 + 4 =
  12. 12.123456 × 8 + 6 =
  13. 13.11 × 11 =
  14. 14.1234567 × 8 + 7 =
  15. 15.12345679 × 72 =
  16. 16.1234 × 9 + 5 =
  17. 17.12345679 × 18 =
  18. 18.37 × 9 =
  19. 19.37 × 18 =
  20. 20.37 × 3 =
  21. 21.1234567 × 9 + 8 =
  22. 22.111111 × 111111 =
  23. 23.123 × 9 + 4 =
  24. 24.12345 × 8 + 5 =
  25. 25.12345679 × 54 =
  26. 26.37 × 24 =
  27. 27.12345679 × 81 =
  28. 28.11111 × 11111 =
  29. 29.37 × 27 =
  30. 30.37 × 12 =
  31. 31.37 × 21 =
  32. 32.37 × 15 =
  33. 33.12 × 8 + 2 =
  34. 34.123 × 8 + 3 =
  35. 35.12345679 × 45 =
  36. 36.12345 × 9 + 6 =
  37. 37.111 × 111 =
  38. 38.12345679 × 63 =
  39. 39.12 × 8 + 2 =
  40. 40.12345678 × 8 + 8 =

Answer key

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

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