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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 200 · 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 × 81 =
  2. 2.12345679 × 54 =
  3. 3.123 × 8 + 3 =
  4. 4.37 × 3 =
  5. 5.12345679 × 63 =
  6. 6.37 × 12 =
  7. 7.12345679 × 27 =
  8. 8.37 × 6 =
  9. 9.12345679 × 18 =
  10. 10.11 × 11 =
  11. 11.1234 × 9 + 5 =
  12. 12.1111 × 1111 =
  13. 13.123 × 9 + 4 =
  14. 14.37 × 21 =
  15. 15.12345678 × 9 + 9 =
  16. 16.11111 × 11111 =
  17. 17.12 × 9 + 3 =
  18. 18.111 × 111 =
  19. 19.1234 × 8 + 4 =
  20. 20.12345679 × 72 =
  21. 21.12 × 8 + 2 =
  22. 22.111111 × 111111 =
  23. 23.123456 × 9 + 7 =
  24. 24.37 × 27 =
  25. 25.123456789 × 8 + 9 =
  26. 26.37 × 18 =
  27. 27.37 × 15 =
  28. 28.37 × 9 =
  29. 29.12345679 × 36 =
  30. 30.12345 × 9 + 6 =
  31. 31.12345679 × 9 =
  32. 32.123456 × 8 + 6 =
  33. 33.1234567 × 8 + 7 =
  34. 34.12345678 × 8 + 8 =
  35. 35.12345 × 8 + 5 =
  36. 36.1234567 × 9 + 8 =
  37. 37.111 × 111 =
  38. 38.12345679 × 45 =
  39. 39.12345679 × 63 =
  40. 40.37 × 24 =

Answer key

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

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