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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 907 · 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. 1.12345678 × 8 + 8 =
  2. 2.123456 × 9 + 7 =
  3. 3.1234 × 9 + 5 =
  4. 4.123 × 9 + 4 =
  5. 5.12345679 × 72 =
  6. 6.37 × 6 =
  7. 7.12345679 × 63 =
  8. 8.111 × 111 =
  9. 9.12345 × 8 + 5 =
  10. 10.11111 × 11111 =
  11. 11.37 × 3 =
  12. 12.37 × 18 =
  13. 13.12345679 × 9 =
  14. 14.123456 × 8 + 6 =
  15. 15.37 × 15 =
  16. 16.1111 × 1111 =
  17. 17.123456789 × 8 + 9 =
  18. 18.12345679 × 54 =
  19. 19.37 × 9 =
  20. 20.37 × 27 =
  21. 21.12345679 × 45 =
  22. 22.1234 × 8 + 4 =
  23. 23.12 × 9 + 3 =
  24. 24.1234567 × 9 + 8 =
  25. 25.12345679 × 27 =
  26. 26.12345679 × 18 =
  27. 27.1234567 × 8 + 7 =
  28. 28.37 × 12 =
  29. 29.12345679 × 36 =
  30. 30.12345 × 9 + 6 =
  31. 31.123 × 8 + 3 =
  32. 32.12 × 8 + 2 =
  33. 33.11 × 11 =
  34. 34.12345678 × 9 + 9 =
  35. 35.111111 × 111111 =
  36. 36.37 × 21 =
  37. 37.12345679 × 81 =
  38. 38.37 × 27 =
  39. 39.11 × 11 =
  40. 40.12345678 × 8 + 8 =

Answer key

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

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