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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 451 · 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. 1.12 × 9 + 3 =
  2. 2.1234567 × 9 + 8 =
  3. 3.12 × 8 + 2 =
  4. 4.12345 × 9 + 6 =
  5. 5.111111 × 111111 =
  6. 6.123456789 × 8 + 9 =
  7. 7.12345678 × 8 + 8 =
  8. 8.37 × 9 =
  9. 9.11 × 11 =
  10. 10.37 × 21 =
  11. 11.12345679 × 63 =
  12. 12.111 × 111 =
  13. 13.1234 × 9 + 5 =
  14. 14.123 × 8 + 3 =
  15. 15.12345679 × 54 =
  16. 16.1234567 × 8 + 7 =
  17. 17.37 × 6 =
  18. 18.12345678 × 9 + 9 =
  19. 19.12345679 × 9 =
  20. 20.12345679 × 45 =
  21. 21.12345679 × 18 =
  22. 22.37 × 15 =
  23. 23.12345679 × 27 =
  24. 24.37 × 3 =
  25. 25.1111 × 1111 =
  26. 26.12345 × 8 + 5 =
  27. 27.123456 × 9 + 7 =
  28. 28.1234 × 8 + 4 =
  29. 29.123456 × 8 + 6 =
  30. 30.37 × 27 =
  31. 31.11111 × 11111 =
  32. 32.11111 × 11111 =
  33. 33.12345679 × 72 =
  34. 34.12345678 × 8 + 8 =
  35. 35.12345679 × 81 =
  36. 36.123 × 9 + 4 =
  37. 37.12345679 × 36 =
  38. 38.37 × 24 =
  39. 39.37 × 3 =
  40. 40.37 × 12 =

Answer key

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

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