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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 98 · 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. 2.37 × 18 =
  3. 3.12 × 8 + 2 =
  4. 4.11 × 11 =
  5. 5.12345679 × 27 =
  6. 6.12345 × 8 + 5 =
  7. 7.1234567 × 9 + 8 =
  8. 8.123 × 9 + 4 =
  9. 9.37 × 3 =
  10. 10.12345 × 9 + 6 =
  11. 11.111111 × 111111 =
  12. 12.12345678 × 8 + 8 =
  13. 13.12345679 × 18 =
  14. 14.37 × 15 =
  15. 15.12 × 9 + 3 =
  16. 16.11111 × 11111 =
  17. 17.123 × 8 + 3 =
  18. 18.37 × 12 =
  19. 19.37 × 27 =
  20. 20.12345679 × 9 =
  21. 21.1234567 × 8 + 7 =
  22. 22.12345679 × 81 =
  23. 23.37 × 6 =
  24. 24.12345678 × 9 + 9 =
  25. 25.123456789 × 8 + 9 =
  26. 26.12345679 × 45 =
  27. 27.12345679 × 36 =
  28. 28.1234 × 8 + 4 =
  29. 29.12345679 × 54 =
  30. 30.12345679 × 63 =
  31. 31.1111 × 1111 =
  32. 32.111 × 111 =
  33. 33.37 × 21 =
  34. 34.12345679 × 72 =
  35. 35.1234 × 9 + 5 =
  36. 36.123456 × 9 + 7 =
  37. 37.12345679 × 81 =
  38. 38.123456 × 8 + 6 =
  39. 39.37 × 15 =
  40. 40.37 × 24 =

Answer key

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

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