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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 18 · 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. 1.12345679 × 36 =
  2. 2.37 × 15 =
  3. 3.111 × 111 =
  4. 4.12345679 × 81 =
  5. 5.12345679 × 18 =
  6. 6.123 × 9 + 4 =
  7. 7.12345679 × 27 =
  8. 8.1111 × 1111 =
  9. 9.37 × 21 =
  10. 10.37 × 27 =
  11. 11.12 × 8 + 2 =
  12. 12.12345678 × 9 + 9 =
  13. 13.1234567 × 9 + 8 =
  14. 14.1234 × 8 + 4 =
  15. 15.37 × 18 =
  16. 16.123456 × 9 + 7 =
  17. 17.12345 × 8 + 5 =
  18. 18.12345678 × 8 + 8 =
  19. 19.111111 × 111111 =
  20. 20.123456 × 8 + 6 =
  21. 21.37 × 3 =
  22. 22.12345 × 9 + 6 =
  23. 23.123 × 8 + 3 =
  24. 24.12345679 × 9 =
  25. 25.12345679 × 54 =
  26. 26.1234567 × 8 + 7 =
  27. 27.37 × 12 =
  28. 28.11 × 11 =
  29. 29.11111 × 11111 =
  30. 30.37 × 6 =
  31. 31.12 × 9 + 3 =
  32. 32.12345679 × 63 =
  33. 33.1234 × 9 + 5 =
  34. 34.37 × 9 =
  35. 35.12345679 × 72 =
  36. 36.37 × 3 =
  37. 37.11111 × 11111 =
  38. 38.12345 × 8 + 5 =
  39. 39.37 × 21 =
  40. 40.37 × 24 =

Answer key

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

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