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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 776 · 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 × 9 =
  3. 3.37 × 24 =
  4. 4.37 × 6 =
  5. 5.12345679 × 54 =
  6. 6.37 × 15 =
  7. 7.12 × 9 + 3 =
  8. 8.11 × 11 =
  9. 9.12345679 × 81 =
  10. 10.123456 × 8 + 6 =
  11. 11.12345679 × 18 =
  12. 12.12345679 × 27 =
  13. 13.12345 × 9 + 6 =
  14. 14.111 × 111 =
  15. 15.1234 × 8 + 4 =
  16. 16.37 × 9 =
  17. 17.37 × 18 =
  18. 18.1111 × 1111 =
  19. 19.11111 × 11111 =
  20. 20.123 × 9 + 4 =
  21. 21.12345679 × 36 =
  22. 22.1234 × 9 + 5 =
  23. 23.12345678 × 9 + 9 =
  24. 24.123456 × 9 + 7 =
  25. 25.123456789 × 8 + 9 =
  26. 26.12345 × 8 + 5 =
  27. 27.1234567 × 9 + 8 =
  28. 28.111111 × 111111 =
  29. 29.12345678 × 8 + 8 =
  30. 30.12345679 × 63 =
  31. 31.12 × 8 + 2 =
  32. 32.37 × 6 =
  33. 33.37 × 21 =
  34. 34.1234567 × 8 + 7 =
  35. 35.37 × 12 =
  36. 36.37 × 3 =
  37. 37.123 × 8 + 3 =
  38. 38.1234567 × 8 + 7 =
  39. 39.123 × 8 + 3 =
  40. 40.12345679 × 72 =

Answer key

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

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