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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 79 · 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. 2.123456 × 9 + 7 =
  3. 3.1234 × 9 + 5 =
  4. 4.12345679 × 81 =
  5. 5.12345679 × 63 =
  6. 6.12345 × 8 + 5 =
  7. 7.12345678 × 9 + 9 =
  8. 8.1234 × 8 + 4 =
  9. 9.123456789 × 8 + 9 =
  10. 10.1111 × 1111 =
  11. 11.37 × 6 =
  12. 12.37 × 18 =
  13. 13.37 × 21 =
  14. 14.37 × 27 =
  15. 15.12 × 9 + 3 =
  16. 16.123 × 9 + 4 =
  17. 17.11 × 11 =
  18. 18.12345678 × 8 + 8 =
  19. 19.12345679 × 27 =
  20. 20.12345679 × 36 =
  21. 21.12345679 × 18 =
  22. 22.37 × 12 =
  23. 23.37 × 9 =
  24. 24.1234567 × 8 + 7 =
  25. 25.123 × 8 + 3 =
  26. 26.111111 × 111111 =
  27. 27.12345679 × 72 =
  28. 28.1234567 × 9 + 8 =
  29. 29.12345679 × 9 =
  30. 30.12345679 × 54 =
  31. 31.111 × 111 =
  32. 32.11111 × 11111 =
  33. 33.12345679 × 36 =
  34. 34.37 × 15 =
  35. 35.37 × 24 =
  36. 36.12345679 × 45 =
  37. 37.12 × 8 + 2 =
  38. 38.123456 × 8 + 6 =
  39. 39.12 × 8 + 2 =
  40. 40.12345679 × 27 =

Answer key

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

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