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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 186 · 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 × 27 =
  2. 2.37 × 3 =
  3. 3.12345679 × 18 =
  4. 4.12345679 × 45 =
  5. 5.37 × 24 =
  6. 6.12345679 × 54 =
  7. 7.12345678 × 8 + 8 =
  8. 8.12345679 × 27 =
  9. 9.12345679 × 81 =
  10. 10.37 × 21 =
  11. 11.111 × 111 =
  12. 12.11111 × 11111 =
  13. 13.1234 × 9 + 5 =
  14. 14.12 × 9 + 3 =
  15. 15.12345679 × 63 =
  16. 16.37 × 6 =
  17. 17.123456789 × 8 + 9 =
  18. 18.37 × 12 =
  19. 19.37 × 9 =
  20. 20.1234 × 8 + 4 =
  21. 21.123456 × 8 + 6 =
  22. 22.12345679 × 36 =
  23. 23.123 × 8 + 3 =
  24. 24.111111 × 111111 =
  25. 25.37 × 15 =
  26. 26.1111 × 1111 =
  27. 27.12345679 × 72 =
  28. 28.111 × 111 =
  29. 29.12345679 × 9 =
  30. 30.12345678 × 9 + 9 =
  31. 31.11 × 11 =
  32. 32.123456 × 9 + 7 =
  33. 33.37 × 15 =
  34. 34.37 × 18 =
  35. 35.12345 × 8 + 5 =
  36. 36.1234567 × 8 + 7 =
  37. 37.12345679 × 54 =
  38. 38.1234567 × 9 + 8 =
  39. 39.12345 × 9 + 6 =
  40. 40.12 × 8 + 2 =

Answer key

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

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