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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 700 · 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 × 45 =
  2. 2.111111 × 111111 =
  3. 3.1234 × 9 + 5 =
  4. 4.1234 × 8 + 4 =
  5. 5.37 × 12 =
  6. 6.1234567 × 8 + 7 =
  7. 7.37 × 21 =
  8. 8.12345679 × 9 =
  9. 9.123 × 9 + 4 =
  10. 10.12 × 9 + 3 =
  11. 11.11111 × 11111 =
  12. 12.11 × 11 =
  13. 13.37 × 24 =
  14. 14.37 × 3 =
  15. 15.37 × 6 =
  16. 16.123456789 × 8 + 9 =
  17. 17.1111 × 1111 =
  18. 18.12345 × 9 + 6 =
  19. 19.12345679 × 63 =
  20. 20.12345679 × 54 =
  21. 21.12345679 × 18 =
  22. 22.37 × 9 =
  23. 23.1234567 × 9 + 8 =
  24. 24.37 × 15 =
  25. 25.12345679 × 36 =
  26. 26.12 × 8 + 2 =
  27. 27.123456 × 9 + 7 =
  28. 28.12345678 × 8 + 8 =
  29. 29.111 × 111 =
  30. 30.123 × 8 + 3 =
  31. 31.12345679 × 72 =
  32. 32.12345 × 8 + 5 =
  33. 33.111 × 111 =
  34. 34.12345679 × 81 =
  35. 35.12345678 × 9 + 9 =
  36. 36.123456 × 8 + 6 =
  37. 37.111111 × 111111 =
  38. 38.12345679 × 54 =
  39. 39.12345679 × 27 =
  40. 40.1234 × 8 + 4 =

Answer key

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

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