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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 980 · 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. 1.1111 × 1111 =
  2. 2.12345679 × 72 =
  3. 3.11111 × 11111 =
  4. 4.37 × 6 =
  5. 5.111111 × 111111 =
  6. 6.12345679 × 18 =
  7. 7.37 × 9 =
  8. 8.37 × 12 =
  9. 9.123 × 9 + 4 =
  10. 10.12345678 × 8 + 8 =
  11. 11.123456 × 9 + 7 =
  12. 12.1234 × 8 + 4 =
  13. 13.111 × 111 =
  14. 14.37 × 21 =
  15. 15.12345 × 9 + 6 =
  16. 16.12345679 × 9 =
  17. 17.12345679 × 36 =
  18. 18.1234567 × 8 + 7 =
  19. 19.12 × 8 + 2 =
  20. 20.123456789 × 8 + 9 =
  21. 21.12345679 × 63 =
  22. 22.11 × 11 =
  23. 23.1234 × 9 + 5 =
  24. 24.12345678 × 9 + 9 =
  25. 25.37 × 27 =
  26. 26.12345679 × 81 =
  27. 27.12345 × 8 + 5 =
  28. 28.12345679 × 45 =
  29. 29.37 × 18 =
  30. 30.12 × 9 + 3 =
  31. 31.37 × 15 =
  32. 32.123 × 8 + 3 =
  33. 33.37 × 3 =
  34. 34.1234567 × 9 + 8 =
  35. 35.37 × 24 =
  36. 36.12345679 × 27 =
  37. 37.37 × 9 =
  38. 38.123456 × 8 + 6 =
  39. 39.12345679 × 54 =
  40. 40.11 × 11 =

Answer key

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

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