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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 545 · 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 × 9 + 9 =
  2. 2.12345679 × 9 =
  3. 3.1111 × 1111 =
  4. 4.123456 × 8 + 6 =
  5. 5.12345679 × 18 =
  6. 6.12345679 × 81 =
  7. 7.1234567 × 9 + 8 =
  8. 8.12345 × 9 + 6 =
  9. 9.12345678 × 8 + 8 =
  10. 10.123456789 × 8 + 9 =
  11. 11.37 × 18 =
  12. 12.11 × 11 =
  13. 13.1234567 × 8 + 7 =
  14. 14.37 × 3 =
  15. 15.12 × 8 + 2 =
  16. 16.12345679 × 72 =
  17. 17.12345 × 8 + 5 =
  18. 18.1234 × 8 + 4 =
  19. 19.12345679 × 45 =
  20. 20.37 × 21 =
  21. 21.123 × 8 + 3 =
  22. 22.123 × 9 + 4 =
  23. 23.11111 × 11111 =
  24. 24.111111 × 111111 =
  25. 25.111 × 111 =
  26. 26.12 × 9 + 3 =
  27. 27.37 × 6 =
  28. 28.37 × 9 =
  29. 29.37 × 27 =
  30. 30.12345679 × 36 =
  31. 31.123456 × 9 + 7 =
  32. 32.1234 × 9 + 5 =
  33. 33.12345679 × 27 =
  34. 34.12345679 × 63 =
  35. 35.37 × 12 =
  36. 36.37 × 15 =
  37. 37.11 × 11 =
  38. 38.37 × 24 =
  39. 39.111 × 111 =
  40. 40.12345679 × 54 =

Answer key

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

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