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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 105 · 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. 1.123 × 8 + 3 =
  2. 2.37 × 9 =
  3. 3.37 × 12 =
  4. 4.12345679 × 18 =
  5. 5.12345 × 9 + 6 =
  6. 6.11111 × 11111 =
  7. 7.1234567 × 8 + 7 =
  8. 8.12 × 8 + 2 =
  9. 9.11 × 11 =
  10. 10.123456 × 9 + 7 =
  11. 11.12345678 × 8 + 8 =
  12. 12.12 × 9 + 3 =
  13. 13.123 × 9 + 4 =
  14. 14.37 × 15 =
  15. 15.111 × 111 =
  16. 16.12345678 × 9 + 9 =
  17. 17.111111 × 111111 =
  18. 18.12345679 × 63 =
  19. 19.12345679 × 54 =
  20. 20.1234 × 9 + 5 =
  21. 21.12345679 × 9 =
  22. 22.12345679 × 45 =
  23. 23.37 × 6 =
  24. 24.1234567 × 9 + 8 =
  25. 25.37 × 24 =
  26. 26.12345679 × 36 =
  27. 27.37 × 21 =
  28. 28.12345 × 8 + 5 =
  29. 29.123456 × 8 + 6 =
  30. 30.1111 × 1111 =
  31. 31.37 × 27 =
  32. 32.123456789 × 8 + 9 =
  33. 33.37 × 18 =
  34. 34.123 × 8 + 3 =
  35. 35.12345679 × 81 =
  36. 36.12345679 × 27 =
  37. 37.1234 × 8 + 4 =
  38. 38.12345679 × 72 =
  39. 39.37 × 3 =
  40. 40.37 × 15 =

Answer key

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

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