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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 826 · 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. 1.37 × 12 =
  2. 2.12345679 × 81 =
  3. 3.12345678 × 9 + 9 =
  4. 4.123456 × 8 + 6 =
  5. 5.12345679 × 9 =
  6. 6.37 × 6 =
  7. 7.1111 × 1111 =
  8. 8.111111 × 111111 =
  9. 9.11111 × 11111 =
  10. 10.12345 × 8 + 5 =
  11. 11.12345679 × 63 =
  12. 12.1234 × 9 + 5 =
  13. 13.37 × 27 =
  14. 14.12345679 × 54 =
  15. 15.123 × 9 + 4 =
  16. 16.12345 × 9 + 6 =
  17. 17.12345679 × 36 =
  18. 18.1234567 × 9 + 8 =
  19. 19.123 × 8 + 3 =
  20. 20.12 × 8 + 2 =
  21. 21.11 × 11 =
  22. 22.37 × 9 =
  23. 23.37 × 15 =
  24. 24.123456 × 9 + 7 =
  25. 25.111 × 111 =
  26. 26.12 × 9 + 3 =
  27. 27.123456789 × 8 + 9 =
  28. 28.1234567 × 8 + 7 =
  29. 29.12345679 × 27 =
  30. 30.37 × 18 =
  31. 31.37 × 21 =
  32. 32.1234567 × 8 + 7 =
  33. 33.11111 × 11111 =
  34. 34.123456 × 8 + 6 =
  35. 35.1234 × 8 + 4 =
  36. 36.12345679 × 72 =
  37. 37.12345679 × 45 =
  38. 38.12345679 × 18 =
  39. 39.12345679 × 27 =
  40. 40.37 × 24 =

Answer key

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

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