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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 758 · 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 × 15 =
  2. 2.12345679 × 72 =
  3. 3.12345678 × 9 + 9 =
  4. 4.12345679 × 27 =
  5. 5.12345679 × 81 =
  6. 6.1234567 × 9 + 8 =
  7. 7.37 × 9 =
  8. 8.12 × 8 + 2 =
  9. 9.123 × 9 + 4 =
  10. 10.1234 × 9 + 5 =
  11. 11.111 × 111 =
  12. 12.1234 × 8 + 4 =
  13. 13.123456 × 9 + 7 =
  14. 14.12 × 9 + 3 =
  15. 15.11111 × 11111 =
  16. 16.37 × 18 =
  17. 17.37 × 12 =
  18. 18.37 × 3 =
  19. 19.1234567 × 8 + 7 =
  20. 20.37 × 27 =
  21. 21.37 × 6 =
  22. 22.12345679 × 9 =
  23. 23.12345678 × 8 + 8 =
  24. 24.11 × 11 =
  25. 25.111111 × 111111 =
  26. 26.12345679 × 18 =
  27. 27.12345679 × 54 =
  28. 28.12345679 × 63 =
  29. 29.123 × 8 + 3 =
  30. 30.37 × 21 =
  31. 31.12345 × 9 + 6 =
  32. 32.123456 × 8 + 6 =
  33. 33.1111 × 1111 =
  34. 34.123456 × 9 + 7 =
  35. 35.12345679 × 36 =
  36. 36.123456789 × 8 + 9 =
  37. 37.12345679 × 9 =
  38. 38.12345679 × 45 =
  39. 39.12345 × 8 + 5 =
  40. 40.11 × 11 =

Answer key

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

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