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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 761 · 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 × 15 =
  3. 3.12345679 × 36 =
  4. 4.111 × 111 =
  5. 5.1234567 × 8 + 7 =
  6. 6.1234567 × 9 + 8 =
  7. 7.123 × 9 + 4 =
  8. 8.37 × 24 =
  9. 9.11 × 11 =
  10. 10.12345679 × 72 =
  11. 11.12345678 × 8 + 8 =
  12. 12.1234 × 9 + 5 =
  13. 13.12345678 × 9 + 9 =
  14. 14.12345679 × 63 =
  15. 15.12345679 × 9 =
  16. 16.1111 × 1111 =
  17. 17.37 × 6 =
  18. 18.123456 × 9 + 7 =
  19. 19.37 × 9 =
  20. 20.37 × 21 =
  21. 21.12345679 × 45 =
  22. 22.12 × 9 + 3 =
  23. 23.12 × 8 + 2 =
  24. 24.37 × 3 =
  25. 25.12345679 × 81 =
  26. 26.111111 × 111111 =
  27. 27.11111 × 11111 =
  28. 28.12345 × 8 + 5 =
  29. 29.1234 × 8 + 4 =
  30. 30.12345 × 9 + 6 =
  31. 31.123456 × 8 + 6 =
  32. 32.12345679 × 54 =
  33. 33.12345679 × 18 =
  34. 34.37 × 18 =
  35. 35.37 × 12 =
  36. 36.37 × 18 =
  37. 37.12345679 × 27 =
  38. 38.123 × 8 + 3 =
  39. 39.1234 × 9 + 5 =
  40. 40.11111 × 11111 =

Answer key

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

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