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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 141 · 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. 1.123456789 × 8 + 9 =
  2. 2.111 × 111 =
  3. 3.37 × 24 =
  4. 4.1234567 × 9 + 8 =
  5. 5.123 × 8 + 3 =
  6. 6.37 × 21 =
  7. 7.37 × 27 =
  8. 8.37 × 12 =
  9. 9.37 × 18 =
  10. 10.12345679 × 81 =
  11. 11.123456 × 9 + 7 =
  12. 12.37 × 15 =
  13. 13.12345679 × 72 =
  14. 14.1234 × 9 + 5 =
  15. 15.12345679 × 18 =
  16. 16.12345679 × 45 =
  17. 17.11111 × 11111 =
  18. 18.12345679 × 9 =
  19. 19.37 × 6 =
  20. 20.12345679 × 36 =
  21. 21.1234567 × 8 + 7 =
  22. 22.12345 × 8 + 5 =
  23. 23.1111 × 1111 =
  24. 24.12345679 × 63 =
  25. 25.37 × 3 =
  26. 26.12 × 8 + 2 =
  27. 27.11 × 11 =
  28. 28.37 × 9 =
  29. 29.123456 × 8 + 6 =
  30. 30.12345678 × 8 + 8 =
  31. 31.111111 × 111111 =
  32. 32.12345 × 9 + 6 =
  33. 33.11111 × 11111 =
  34. 34.12345679 × 54 =
  35. 35.12 × 9 + 3 =
  36. 36.123 × 9 + 4 =
  37. 37.12345678 × 9 + 9 =
  38. 38.12345679 × 27 =
  39. 39.1234 × 8 + 4 =
  40. 40.111 × 111 =

Answer key

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

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