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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 288 · 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 × 18 =
  2. 2.12345 × 8 + 5 =
  3. 3.12345678 × 8 + 8 =
  4. 4.111 × 111 =
  5. 5.12345 × 9 + 6 =
  6. 6.37 × 15 =
  7. 7.123 × 8 + 3 =
  8. 8.111111 × 111111 =
  9. 9.12345679 × 63 =
  10. 10.123456 × 9 + 7 =
  11. 11.1111 × 1111 =
  12. 12.37 × 3 =
  13. 13.12 × 8 + 2 =
  14. 14.12345679 × 54 =
  15. 15.11 × 11 =
  16. 16.12345679 × 36 =
  17. 17.1234567 × 8 + 7 =
  18. 18.1234567 × 9 + 8 =
  19. 19.123456 × 8 + 6 =
  20. 20.123456789 × 8 + 9 =
  21. 21.37 × 27 =
  22. 22.12345679 × 9 =
  23. 23.12345679 × 72 =
  24. 24.12345679 × 81 =
  25. 25.37 × 6 =
  26. 26.37 × 21 =
  27. 27.12345679 × 45 =
  28. 28.12 × 9 + 3 =
  29. 29.12345679 × 27 =
  30. 30.11111 × 11111 =
  31. 31.1234 × 8 + 4 =
  32. 32.37 × 12 =
  33. 33.37 × 9 =
  34. 34.12345678 × 9 + 9 =
  35. 35.1234 × 9 + 5 =
  36. 36.12345679 × 45 =
  37. 37.123 × 9 + 4 =
  38. 38.12345679 × 63 =
  39. 39.37 × 24 =
  40. 40.11 × 11 =

Answer key

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

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