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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 306 · 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. 1.123 × 8 + 3 =
  2. 2.12345679 × 18 =
  3. 3.123456789 × 8 + 9 =
  4. 4.12345679 × 36 =
  5. 5.123456 × 8 + 6 =
  6. 6.1234 × 9 + 5 =
  7. 7.12 × 9 + 3 =
  8. 8.1234567 × 9 + 8 =
  9. 9.12345679 × 72 =
  10. 10.1234567 × 8 + 7 =
  11. 11.12345679 × 63 =
  12. 12.12 × 8 + 2 =
  13. 13.37 × 18 =
  14. 14.11 × 11 =
  15. 15.123 × 9 + 4 =
  16. 16.37 × 24 =
  17. 17.12345 × 9 + 6 =
  18. 18.12345678 × 9 + 9 =
  19. 19.37 × 12 =
  20. 20.37 × 6 =
  21. 21.12345 × 8 + 5 =
  22. 22.111111 × 111111 =
  23. 23.1111 × 1111 =
  24. 24.37 × 9 =
  25. 25.37 × 21 =
  26. 26.12345679 × 9 =
  27. 27.111 × 111 =
  28. 28.12345679 × 81 =
  29. 29.123456 × 9 + 7 =
  30. 30.12345679 × 45 =
  31. 31.1234 × 8 + 4 =
  32. 32.12345679 × 54 =
  33. 33.12345679 × 27 =
  34. 34.12345678 × 8 + 8 =
  35. 35.37 × 27 =
  36. 36.37 × 9 =
  37. 37.37 × 3 =
  38. 38.111111 × 111111 =
  39. 39.37 × 15 =
  40. 40.37 × 18 =

Answer key

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

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