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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 52 · 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 × 9 =
  2. 2.12345679 × 72 =
  3. 3.12345679 × 45 =
  4. 4.12345679 × 18 =
  5. 5.1234567 × 8 + 7 =
  6. 6.12345679 × 36 =
  7. 7.12345679 × 54 =
  8. 8.11 × 11 =
  9. 9.123 × 8 + 3 =
  10. 10.12345679 × 81 =
  11. 11.1234567 × 9 + 8 =
  12. 12.12345679 × 9 =
  13. 13.12345678 × 9 + 9 =
  14. 14.111 × 111 =
  15. 15.12 × 9 + 3 =
  16. 16.123456789 × 8 + 9 =
  17. 17.37 × 24 =
  18. 18.12345679 × 27 =
  19. 19.37 × 6 =
  20. 20.12345 × 8 + 5 =
  21. 21.12345 × 9 + 6 =
  22. 22.37 × 27 =
  23. 23.123456 × 8 + 6 =
  24. 24.37 × 12 =
  25. 25.1234 × 9 + 5 =
  26. 26.11111 × 11111 =
  27. 27.123456 × 9 + 7 =
  28. 28.123 × 9 + 4 =
  29. 29.1234 × 8 + 4 =
  30. 30.37 × 15 =
  31. 31.12 × 8 + 2 =
  32. 32.1111 × 1111 =
  33. 33.37 × 21 =
  34. 34.12345678 × 8 + 8 =
  35. 35.37 × 3 =
  36. 36.37 × 18 =
  37. 37.111111 × 111111 =
  38. 38.11 × 11 =
  39. 39.123456 × 8 + 6 =
  40. 40.11 × 11 =

Answer key

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

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