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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 540 · 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. 1.37 × 18 =
  2. 2.12345679 × 18 =
  3. 3.1234 × 8 + 4 =
  4. 4.11 × 11 =
  5. 5.12345 × 8 + 5 =
  6. 6.37 × 3 =
  7. 7.12345678 × 9 + 9 =
  8. 8.111 × 111 =
  9. 9.12345679 × 72 =
  10. 10.37 × 9 =
  11. 11.12345679 × 63 =
  12. 12.123 × 9 + 4 =
  13. 13.12345679 × 54 =
  14. 14.123 × 8 + 3 =
  15. 15.37 × 15 =
  16. 16.12 × 8 + 2 =
  17. 17.12345678 × 8 + 8 =
  18. 18.37 × 21 =
  19. 19.1111 × 1111 =
  20. 20.37 × 12 =
  21. 21.11111 × 11111 =
  22. 22.12345679 × 81 =
  23. 23.1234567 × 9 + 8 =
  24. 24.12345679 × 36 =
  25. 25.12 × 9 + 3 =
  26. 26.12345679 × 9 =
  27. 27.12345679 × 45 =
  28. 28.123456 × 8 + 6 =
  29. 29.37 × 6 =
  30. 30.123456 × 9 + 7 =
  31. 31.37 × 24 =
  32. 32.123456789 × 8 + 9 =
  33. 33.37 × 27 =
  34. 34.12345679 × 54 =
  35. 35.37 × 6 =
  36. 36.1234567 × 8 + 7 =
  37. 37.1234 × 9 + 5 =
  38. 38.12345679 × 27 =
  39. 39.12345 × 9 + 6 =
  40. 40.111111 × 111111 =

Answer key

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

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