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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 910 · 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. 2.12345679 × 27 =
  3. 3.12345679 × 45 =
  4. 4.1234 × 8 + 4 =
  5. 5.123 × 8 + 3 =
  6. 6.12345679 × 18 =
  7. 7.111 × 111 =
  8. 8.111111 × 111111 =
  9. 9.12345679 × 81 =
  10. 10.1234567 × 9 + 8 =
  11. 11.37 × 9 =
  12. 12.12345679 × 54 =
  13. 13.123456 × 9 + 7 =
  14. 14.11 × 11 =
  15. 15.37 × 21 =
  16. 16.12345679 × 63 =
  17. 17.123456789 × 8 + 9 =
  18. 18.123 × 9 + 4 =
  19. 19.123456 × 8 + 6 =
  20. 20.37 × 18 =
  21. 21.12345679 × 9 =
  22. 22.12 × 8 + 2 =
  23. 23.12345 × 9 + 6 =
  24. 24.37 × 24 =
  25. 25.12 × 9 + 3 =
  26. 26.12345 × 8 + 5 =
  27. 27.1234 × 9 + 5 =
  28. 28.1111 × 1111 =
  29. 29.12345678 × 9 + 9 =
  30. 30.11111 × 11111 =
  31. 31.37 × 15 =
  32. 32.12345679 × 72 =
  33. 33.37 × 27 =
  34. 34.12345679 × 36 =
  35. 35.12345679 × 18 =
  36. 36.37 × 6 =
  37. 37.37 × 3 =
  38. 38.11111 × 11111 =
  39. 39.37 × 12 =
  40. 40.12345679 × 81 =

Answer key

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

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