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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 46 · 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. 1.12345679 × 36 =
  2. 2.12345678 × 9 + 9 =
  3. 3.12345679 × 18 =
  4. 4.12345 × 8 + 5 =
  5. 5.37 × 6 =
  6. 6.12 × 8 + 2 =
  7. 7.37 × 24 =
  8. 8.37 × 15 =
  9. 9.37 × 9 =
  10. 10.37 × 3 =
  11. 11.1234567 × 9 + 8 =
  12. 12.123456 × 9 + 7 =
  13. 13.37 × 21 =
  14. 14.11111 × 11111 =
  15. 15.12345679 × 81 =
  16. 16.12345679 × 54 =
  17. 17.37 × 27 =
  18. 18.1234 × 9 + 5 =
  19. 19.12345678 × 8 + 8 =
  20. 20.111 × 111 =
  21. 21.12345 × 9 + 6 =
  22. 22.1111 × 1111 =
  23. 23.12345679 × 45 =
  24. 24.12345679 × 63 =
  25. 25.12 × 9 + 3 =
  26. 26.123 × 8 + 3 =
  27. 27.37 × 18 =
  28. 28.123 × 9 + 4 =
  29. 29.12345679 × 9 =
  30. 30.11 × 11 =
  31. 31.12345679 × 72 =
  32. 32.123456 × 8 + 6 =
  33. 33.1234567 × 8 + 7 =
  34. 34.123456789 × 8 + 9 =
  35. 35.37 × 12 =
  36. 36.1234 × 8 + 4 =
  37. 37.37 × 24 =
  38. 38.111111 × 111111 =
  39. 39.1111 × 1111 =
  40. 40.37 × 12 =

Answer key

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

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