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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 746 · 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. 1.123456 × 8 + 6 =
  2. 2.1234567 × 9 + 8 =
  3. 3.37 × 15 =
  4. 4.123456789 × 8 + 9 =
  5. 5.37 × 9 =
  6. 6.12 × 8 + 2 =
  7. 7.123 × 8 + 3 =
  8. 8.11111 × 11111 =
  9. 9.12345 × 9 + 6 =
  10. 10.1111 × 1111 =
  11. 11.12345679 × 18 =
  12. 12.12345678 × 8 + 8 =
  13. 13.1234 × 9 + 5 =
  14. 14.12345 × 8 + 5 =
  15. 15.12345679 × 27 =
  16. 16.37 × 24 =
  17. 17.12345678 × 9 + 9 =
  18. 18.111 × 111 =
  19. 19.111111 × 111111 =
  20. 20.37 × 3 =
  21. 21.123456 × 9 + 7 =
  22. 22.11 × 11 =
  23. 23.12345679 × 81 =
  24. 24.37 × 21 =
  25. 25.12345679 × 72 =
  26. 26.123 × 9 + 4 =
  27. 27.12345679 × 63 =
  28. 28.37 × 18 =
  29. 29.37 × 6 =
  30. 30.37 × 12 =
  31. 31.12 × 9 + 3 =
  32. 32.12345679 × 45 =
  33. 33.12345679 × 9 =
  34. 34.1234 × 8 + 4 =
  35. 35.1234567 × 8 + 7 =
  36. 36.12345679 × 54 =
  37. 37.37 × 12 =
  38. 38.37 × 27 =
  39. 39.11 × 11 =
  40. 40.12345679 × 36 =

Answer key

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

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