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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 161 · 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. 1.1234567 × 8 + 7 =
  2. 2.37 × 12 =
  3. 3.12345679 × 63 =
  4. 4.37 × 3 =
  5. 5.37 × 24 =
  6. 6.12 × 8 + 2 =
  7. 7.37 × 9 =
  8. 8.12345679 × 72 =
  9. 9.111 × 111 =
  10. 10.12345679 × 81 =
  11. 11.12345679 × 27 =
  12. 12.123 × 9 + 4 =
  13. 13.37 × 6 =
  14. 14.1234567 × 9 + 8 =
  15. 15.12345679 × 36 =
  16. 16.123456 × 8 + 6 =
  17. 17.37 × 27 =
  18. 18.12345679 × 45 =
  19. 19.111111 × 111111 =
  20. 20.1234 × 9 + 5 =
  21. 21.123456789 × 8 + 9 =
  22. 22.12345679 × 9 =
  23. 23.123456 × 9 + 7 =
  24. 24.12345679 × 18 =
  25. 25.12345 × 8 + 5 =
  26. 26.1111 × 1111 =
  27. 27.123 × 8 + 3 =
  28. 28.37 × 15 =
  29. 29.11 × 11 =
  30. 30.11111 × 11111 =
  31. 31.12345678 × 8 + 8 =
  32. 32.12345 × 9 + 6 =
  33. 33.12345679 × 54 =
  34. 34.12345678 × 9 + 9 =
  35. 35.12345679 × 18 =
  36. 36.1234 × 8 + 4 =
  37. 37.37 × 9 =
  38. 38.37 × 18 =
  39. 39.11 × 11 =
  40. 40.12 × 9 + 3 =

Answer key

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

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