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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 968 · 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. 2.12345678 × 8 + 8 =
  3. 3.123456 × 8 + 6 =
  4. 4.11111 × 11111 =
  5. 5.12345679 × 9 =
  6. 6.12345679 × 54 =
  7. 7.12345678 × 9 + 9 =
  8. 8.12345679 × 36 =
  9. 9.37 × 6 =
  10. 10.12345679 × 27 =
  11. 11.12345 × 9 + 6 =
  12. 12.123456 × 9 + 7 =
  13. 13.1234567 × 8 + 7 =
  14. 14.1234567 × 9 + 8 =
  15. 15.11 × 11 =
  16. 16.1111 × 1111 =
  17. 17.123 × 9 + 4 =
  18. 18.37 × 12 =
  19. 19.37 × 27 =
  20. 20.123 × 8 + 3 =
  21. 21.12345679 × 45 =
  22. 22.37 × 3 =
  23. 23.111111 × 111111 =
  24. 24.37 × 15 =
  25. 25.12345 × 8 + 5 =
  26. 26.12345679 × 18 =
  27. 27.37 × 21 =
  28. 28.123456789 × 8 + 9 =
  29. 29.1234 × 9 + 5 =
  30. 30.12345679 × 81 =
  31. 31.111 × 111 =
  32. 32.11111 × 11111 =
  33. 33.37 × 9 =
  34. 34.37 × 24 =
  35. 35.1234 × 8 + 4 =
  36. 36.12345679 × 72 =
  37. 37.11111 × 11111 =
  38. 38.111 × 111 =
  39. 39.123 × 9 + 4 =
  40. 40.37 × 6 =

Answer key

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

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