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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 724 · 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 × 8 + 3 =
  2. 2.123 × 9 + 4 =
  3. 3.123456 × 9 + 7 =
  4. 4.1234567 × 9 + 8 =
  5. 5.37 × 15 =
  6. 6.1234567 × 8 + 7 =
  7. 7.111111 × 111111 =
  8. 8.12345679 × 72 =
  9. 9.12345679 × 27 =
  10. 10.37 × 27 =
  11. 11.12345679 × 18 =
  12. 12.37 × 3 =
  13. 13.1111 × 1111 =
  14. 14.12345 × 8 + 5 =
  15. 15.123456 × 8 + 6 =
  16. 16.12 × 8 + 2 =
  17. 17.12345678 × 9 + 9 =
  18. 18.11111 × 11111 =
  19. 19.37 × 18 =
  20. 20.11 × 11 =
  21. 21.12345678 × 8 + 8 =
  22. 22.37 × 6 =
  23. 23.37 × 12 =
  24. 24.12345679 × 45 =
  25. 25.12345679 × 9 =
  26. 26.111 × 111 =
  27. 27.37 × 21 =
  28. 28.12345679 × 63 =
  29. 29.37 × 24 =
  30. 30.12345679 × 81 =
  31. 31.123456789 × 8 + 9 =
  32. 32.12345679 × 54 =
  33. 33.1234 × 9 + 5 =
  34. 34.12 × 9 + 3 =
  35. 35.37 × 9 =
  36. 36.12345 × 9 + 6 =
  37. 37.1234 × 9 + 5 =
  38. 38.12345 × 9 + 6 =
  39. 39.37 × 3 =
  40. 40.12 × 8 + 2 =

Answer key

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

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