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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 574 · 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. 2.37 × 12 =
  3. 3.123456 × 9 + 7 =
  4. 4.12 × 8 + 2 =
  5. 5.37 × 3 =
  6. 6.12345678 × 9 + 9 =
  7. 7.37 × 27 =
  8. 8.11 × 11 =
  9. 9.11111 × 11111 =
  10. 10.12345679 × 72 =
  11. 11.12345679 × 81 =
  12. 12.123456 × 8 + 6 =
  13. 13.1234567 × 9 + 8 =
  14. 14.37 × 9 =
  15. 15.123456789 × 8 + 9 =
  16. 16.12 × 9 + 3 =
  17. 17.111 × 111 =
  18. 18.37 × 18 =
  19. 19.37 × 21 =
  20. 20.37 × 24 =
  21. 21.12345678 × 8 + 8 =
  22. 22.12345679 × 9 =
  23. 23.12345679 × 63 =
  24. 24.12345679 × 54 =
  25. 25.123 × 9 + 4 =
  26. 26.1111 × 1111 =
  27. 27.12345679 × 45 =
  28. 28.37 × 15 =
  29. 29.12345 × 9 + 6 =
  30. 30.1234567 × 8 + 7 =
  31. 31.12345679 × 36 =
  32. 32.12345679 × 9 =
  33. 33.12345679 × 27 =
  34. 34.12345679 × 18 =
  35. 35.1234 × 9 + 5 =
  36. 36.37 × 6 =
  37. 37.12345678 × 9 + 9 =
  38. 38.111111 × 111111 =
  39. 39.37 × 21 =
  40. 40.111 × 111 =

Answer key

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

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