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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 970 · 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. 1.12345 × 9 + 6 =
  2. 2.123 × 8 + 3 =
  3. 3.123 × 9 + 4 =
  4. 4.11 × 11 =
  5. 5.12345679 × 36 =
  6. 6.12345679 × 72 =
  7. 7.12345679 × 63 =
  8. 8.37 × 3 =
  9. 9.12 × 9 + 3 =
  10. 10.37 × 9 =
  11. 11.37 × 18 =
  12. 12.1234 × 8 + 4 =
  13. 13.111111 × 111111 =
  14. 14.12 × 8 + 2 =
  15. 15.37 × 27 =
  16. 16.12345679 × 27 =
  17. 17.12345 × 8 + 5 =
  18. 18.37 × 15 =
  19. 19.11111 × 11111 =
  20. 20.1234567 × 9 + 8 =
  21. 21.12345679 × 81 =
  22. 22.12345679 × 54 =
  23. 23.37 × 21 =
  24. 24.12345678 × 8 + 8 =
  25. 25.12345679 × 45 =
  26. 26.37 × 6 =
  27. 27.12345678 × 9 + 9 =
  28. 28.37 × 12 =
  29. 29.1234 × 9 + 5 =
  30. 30.1111 × 1111 =
  31. 31.37 × 24 =
  32. 32.111 × 111 =
  33. 33.12345679 × 18 =
  34. 34.123456 × 8 + 6 =
  35. 35.123456 × 9 + 7 =
  36. 36.37 × 6 =
  37. 37.37 × 18 =
  38. 38.1234567 × 8 + 7 =
  39. 39.12345679 × 81 =
  40. 40.12345679 × 54 =

Answer key

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

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