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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 272 · 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. 2.37 × 9 =
  3. 3.37 × 24 =
  4. 4.11 × 11 =
  5. 5.37 × 21 =
  6. 6.11111 × 11111 =
  7. 7.12 × 9 + 3 =
  8. 8.37 × 3 =
  9. 9.111111 × 111111 =
  10. 10.111 × 111 =
  11. 11.12345679 × 36 =
  12. 12.37 × 15 =
  13. 13.123456 × 9 + 7 =
  14. 14.12345679 × 27 =
  15. 15.12345678 × 9 + 9 =
  16. 16.37 × 27 =
  17. 17.123 × 9 + 4 =
  18. 18.37 × 12 =
  19. 19.37 × 6 =
  20. 20.123456 × 8 + 6 =
  21. 21.12345679 × 81 =
  22. 22.1234567 × 9 + 8 =
  23. 23.1111 × 1111 =
  24. 24.12345 × 8 + 5 =
  25. 25.12 × 8 + 2 =
  26. 26.12345 × 9 + 6 =
  27. 27.12345679 × 9 =
  28. 28.12345679 × 54 =
  29. 29.12345679 × 45 =
  30. 30.1234 × 9 + 5 =
  31. 31.123456 × 9 + 7 =
  32. 32.12345679 × 63 =
  33. 33.37 × 18 =
  34. 34.1234 × 9 + 5 =
  35. 35.12 × 9 + 3 =
  36. 36.123456789 × 8 + 9 =
  37. 37.1234567 × 8 + 7 =
  38. 38.12345679 × 18 =
  39. 39.37 × 6 =
  40. 40.12345679 × 72 =

Answer key

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

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