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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 78 · 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. 2.123 × 8 + 3 =
  3. 3.37 × 6 =
  4. 4.12 × 9 + 3 =
  5. 5.12345678 × 8 + 8 =
  6. 6.11 × 11 =
  7. 7.11111 × 11111 =
  8. 8.1234 × 8 + 4 =
  9. 9.1111 × 1111 =
  10. 10.123456789 × 8 + 9 =
  11. 11.12 × 8 + 2 =
  12. 12.12345 × 9 + 6 =
  13. 13.111 × 111 =
  14. 14.123 × 9 + 4 =
  15. 15.12345679 × 54 =
  16. 16.1234 × 9 + 5 =
  17. 17.37 × 15 =
  18. 18.12345679 × 36 =
  19. 19.12345679 × 27 =
  20. 20.12345679 × 9 =
  21. 21.37 × 12 =
  22. 22.37 × 27 =
  23. 23.123456 × 9 + 7 =
  24. 24.12345678 × 9 + 9 =
  25. 25.37 × 18 =
  26. 26.12345679 × 45 =
  27. 27.37 × 9 =
  28. 28.12345679 × 81 =
  29. 29.111111 × 111111 =
  30. 30.37 × 3 =
  31. 31.12345679 × 18 =
  32. 32.37 × 21 =
  33. 33.1234567 × 9 + 8 =
  34. 34.12345679 × 72 =
  35. 35.123 × 8 + 3 =
  36. 36.123456 × 8 + 6 =
  37. 37.37 × 18 =
  38. 38.37 × 24 =
  39. 39.1234567 × 8 + 7 =
  40. 40.12345679 × 63 =

Answer key

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

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