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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 915 · 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. 1.123 × 8 + 3 =
  2. 2.12345679 × 36 =
  3. 3.1111 × 1111 =
  4. 4.12 × 8 + 2 =
  5. 5.111111 × 111111 =
  6. 6.37 × 6 =
  7. 7.12 × 9 + 3 =
  8. 8.123456 × 8 + 6 =
  9. 9.1234 × 9 + 5 =
  10. 10.12345679 × 9 =
  11. 11.11111 × 11111 =
  12. 12.111 × 111 =
  13. 13.12345678 × 9 + 9 =
  14. 14.37 × 24 =
  15. 15.37 × 12 =
  16. 16.12345679 × 81 =
  17. 17.1234567 × 8 + 7 =
  18. 18.37 × 9 =
  19. 19.12345 × 8 + 5 =
  20. 20.37 × 3 =
  21. 21.123 × 9 + 4 =
  22. 22.12345679 × 18 =
  23. 23.11 × 11 =
  24. 24.37 × 18 =
  25. 25.123456789 × 8 + 9 =
  26. 26.37 × 21 =
  27. 27.1234567 × 9 + 8 =
  28. 28.123456 × 9 + 7 =
  29. 29.37 × 27 =
  30. 30.12345679 × 63 =
  31. 31.12345679 × 63 =
  32. 32.12345679 × 45 =
  33. 33.12345679 × 72 =
  34. 34.1234 × 8 + 4 =
  35. 35.12345679 × 27 =
  36. 36.12345 × 9 + 6 =
  37. 37.12345679 × 54 =
  38. 38.12 × 9 + 3 =
  39. 39.111 × 111 =
  40. 40.12345679 × 63 =

Answer key

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

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