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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 302 · 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 × 8 + 5 =
  2. 2.12345679 × 45 =
  3. 3.37 × 18 =
  4. 4.111111 × 111111 =
  5. 5.12345679 × 27 =
  6. 6.1234567 × 8 + 7 =
  7. 7.37 × 6 =
  8. 8.11 × 11 =
  9. 9.123 × 8 + 3 =
  10. 10.12 × 8 + 2 =
  11. 11.12345679 × 18 =
  12. 12.37 × 15 =
  13. 13.123 × 9 + 4 =
  14. 14.37 × 27 =
  15. 15.1234567 × 9 + 8 =
  16. 16.12345679 × 81 =
  17. 17.37 × 9 =
  18. 18.11111 × 11111 =
  19. 19.12345679 × 63 =
  20. 20.12345678 × 8 + 8 =
  21. 21.12345 × 9 + 6 =
  22. 22.123456 × 8 + 6 =
  23. 23.12345679 × 9 =
  24. 24.1234 × 9 + 5 =
  25. 25.12345679 × 54 =
  26. 26.37 × 3 =
  27. 27.1234 × 8 + 4 =
  28. 28.12345678 × 9 + 9 =
  29. 29.37 × 12 =
  30. 30.123456 × 9 + 7 =
  31. 31.1111 × 1111 =
  32. 32.12345679 × 72 =
  33. 33.12 × 9 + 3 =
  34. 34.111 × 111 =
  35. 35.123456789 × 8 + 9 =
  36. 36.37 × 27 =
  37. 37.1234567 × 8 + 7 =
  38. 38.37 × 18 =
  39. 39.1234567 × 9 + 8 =
  40. 40.12345679 × 45 =

Answer key

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

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