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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 957 · 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. 1.12345679 × 72 =
  2. 2.111111 × 111111 =
  3. 3.1111 × 1111 =
  4. 4.12345678 × 9 + 9 =
  5. 5.12345679 × 18 =
  6. 6.37 × 15 =
  7. 7.11111 × 11111 =
  8. 8.12345 × 8 + 5 =
  9. 9.123 × 8 + 3 =
  10. 10.37 × 18 =
  11. 11.37 × 27 =
  12. 12.111 × 111 =
  13. 13.123456 × 8 + 6 =
  14. 14.37 × 24 =
  15. 15.11 × 11 =
  16. 16.123456 × 9 + 7 =
  17. 17.12345679 × 27 =
  18. 18.37 × 6 =
  19. 19.1234567 × 9 + 8 =
  20. 20.12345 × 9 + 6 =
  21. 21.12345679 × 81 =
  22. 22.123456789 × 8 + 9 =
  23. 23.1234567 × 8 + 7 =
  24. 24.12345679 × 9 =
  25. 25.37 × 9 =
  26. 26.1234 × 8 + 4 =
  27. 27.123 × 9 + 4 =
  28. 28.37 × 3 =
  29. 29.12345679 × 54 =
  30. 30.37 × 21 =
  31. 31.12345678 × 8 + 8 =
  32. 32.12 × 9 + 3 =
  33. 33.37 × 12 =
  34. 34.12345679 × 36 =
  35. 35.12 × 8 + 2 =
  36. 36.11 × 11 =
  37. 37.1234 × 9 + 5 =
  38. 38.12 × 9 + 3 =
  39. 39.12345679 × 63 =
  40. 40.12345679 × 45 =

Answer key

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

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