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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 457 · 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. 1.12345 × 9 + 6 =
  2. 2.37 × 24 =
  3. 3.12 × 8 + 2 =
  4. 4.123456789 × 8 + 9 =
  5. 5.1111 × 1111 =
  6. 6.111111 × 111111 =
  7. 7.12345679 × 36 =
  8. 8.123456 × 9 + 7 =
  9. 9.1234567 × 9 + 8 =
  10. 10.12345678 × 9 + 9 =
  11. 11.12345679 × 27 =
  12. 12.37 × 3 =
  13. 13.12345 × 8 + 5 =
  14. 14.11111 × 11111 =
  15. 15.37 × 18 =
  16. 16.111 × 111 =
  17. 17.1234567 × 8 + 7 =
  18. 18.37 × 21 =
  19. 19.123 × 8 + 3 =
  20. 20.37 × 6 =
  21. 21.12345679 × 45 =
  22. 22.37 × 12 =
  23. 23.11 × 11 =
  24. 24.12345679 × 18 =
  25. 25.12 × 9 + 3 =
  26. 26.12345679 × 81 =
  27. 27.12345679 × 9 =
  28. 28.123456 × 8 + 6 =
  29. 29.12345679 × 63 =
  30. 30.12345679 × 72 =
  31. 31.37 × 9 =
  32. 32.123 × 9 + 4 =
  33. 33.37 × 27 =
  34. 34.12345678 × 8 + 8 =
  35. 35.1234 × 8 + 4 =
  36. 36.12345679 × 54 =
  37. 37.1234567 × 9 + 8 =
  38. 38.37 × 27 =
  39. 39.37 × 9 =
  40. 40.12345 × 9 + 6 =

Answer key

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

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