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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 436 · 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. 1.123456789 × 8 + 9 =
  2. 2.37 × 24 =
  3. 3.123456 × 9 + 7 =
  4. 4.123 × 9 + 4 =
  5. 5.1234 × 9 + 5 =
  6. 6.37 × 9 =
  7. 7.11 × 11 =
  8. 8.12345 × 9 + 6 =
  9. 9.12 × 9 + 3 =
  10. 10.12345679 × 54 =
  11. 11.111111 × 111111 =
  12. 12.37 × 6 =
  13. 13.12345679 × 63 =
  14. 14.12 × 8 + 2 =
  15. 15.12345679 × 45 =
  16. 16.11111 × 11111 =
  17. 17.37 × 18 =
  18. 18.12345679 × 18 =
  19. 19.12345679 × 72 =
  20. 20.1111 × 1111 =
  21. 21.111 × 111 =
  22. 22.12345679 × 81 =
  23. 23.12345 × 8 + 5 =
  24. 24.12345679 × 36 =
  25. 25.1234567 × 9 + 8 =
  26. 26.37 × 12 =
  27. 27.12345678 × 9 + 9 =
  28. 28.37 × 15 =
  29. 29.1234 × 8 + 4 =
  30. 30.123456 × 8 + 6 =
  31. 31.12345679 × 27 =
  32. 32.1234567 × 8 + 7 =
  33. 33.12345678 × 8 + 8 =
  34. 34.37 × 21 =
  35. 35.37 × 27 =
  36. 36.37 × 24 =
  37. 37.37 × 3 =
  38. 38.12345679 × 9 =
  39. 39.123 × 8 + 3 =
  40. 40.111111 × 111111 =

Answer key

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

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