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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 615 · 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. 1.123 × 9 + 4 =
  2. 2.11111 × 11111 =
  3. 3.1234 × 9 + 5 =
  4. 4.12 × 9 + 3 =
  5. 5.12345679 × 72 =
  6. 6.37 × 9 =
  7. 7.37 × 3 =
  8. 8.12345 × 8 + 5 =
  9. 9.1234 × 8 + 4 =
  10. 10.12 × 8 + 2 =
  11. 11.1111 × 1111 =
  12. 12.12345678 × 9 + 9 =
  13. 13.123456 × 8 + 6 =
  14. 14.12345679 × 18 =
  15. 15.12345678 × 8 + 8 =
  16. 16.12345 × 9 + 6 =
  17. 17.1234567 × 9 + 8 =
  18. 18.37 × 6 =
  19. 19.37 × 12 =
  20. 20.123 × 8 + 3 =
  21. 21.12345679 × 63 =
  22. 22.37 × 15 =
  23. 23.12345679 × 9 =
  24. 24.37 × 24 =
  25. 25.12345679 × 81 =
  26. 26.12345679 × 27 =
  27. 27.123456789 × 8 + 9 =
  28. 28.111111 × 111111 =
  29. 29.12345679 × 45 =
  30. 30.37 × 18 =
  31. 31.12345679 × 36 =
  32. 32.12345679 × 54 =
  33. 33.1234567 × 8 + 7 =
  34. 34.123456 × 9 + 7 =
  35. 35.11 × 11 =
  36. 36.111 × 111 =
  37. 37.37 × 6 =
  38. 38.37 × 27 =
  39. 39.1234567 × 9 + 8 =
  40. 40.12345679 × 81 =

Answer key

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

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