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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 14 · 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. 2.37 × 12 =
  3. 3.1234 × 9 + 5 =
  4. 4.12345679 × 9 =
  5. 5.12345 × 9 + 6 =
  6. 6.12 × 8 + 2 =
  7. 7.12345679 × 36 =
  8. 8.12345 × 8 + 5 =
  9. 9.37 × 21 =
  10. 10.37 × 9 =
  11. 11.37 × 27 =
  12. 12.12345679 × 54 =
  13. 13.123456789 × 8 + 9 =
  14. 14.12345679 × 18 =
  15. 15.37 × 3 =
  16. 16.111111 × 111111 =
  17. 17.12345679 × 63 =
  18. 18.111 × 111 =
  19. 19.123 × 8 + 3 =
  20. 20.1111 × 1111 =
  21. 21.37 × 6 =
  22. 22.11111 × 11111 =
  23. 23.123 × 9 + 4 =
  24. 24.12345679 × 72 =
  25. 25.37 × 15 =
  26. 26.12 × 9 + 3 =
  27. 27.1234567 × 8 + 7 =
  28. 28.11 × 11 =
  29. 29.12345678 × 9 + 9 =
  30. 30.12345679 × 27 =
  31. 31.12345679 × 81 =
  32. 32.12345679 × 45 =
  33. 33.37 × 3 =
  34. 34.123456 × 9 + 7 =
  35. 35.123456789 × 8 + 9 =
  36. 36.111 × 111 =
  37. 37.12345678 × 8 + 8 =
  38. 38.1234 × 8 + 4 =
  39. 39.12345 × 8 + 5 =
  40. 40.12345679 × 63 =

Answer key

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

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