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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 794 · 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 × 54 =
  3. 3.1111 × 1111 =
  4. 4.12345679 × 36 =
  5. 5.12345 × 9 + 6 =
  6. 6.123 × 9 + 4 =
  7. 7.12345 × 8 + 5 =
  8. 8.12345679 × 27 =
  9. 9.37 × 21 =
  10. 10.1234567 × 9 + 8 =
  11. 11.11 × 11 =
  12. 12.1234 × 9 + 5 =
  13. 13.111111 × 111111 =
  14. 14.37 × 12 =
  15. 15.37 × 6 =
  16. 16.12345679 × 72 =
  17. 17.123456 × 8 + 6 =
  18. 18.123 × 8 + 3 =
  19. 19.37 × 27 =
  20. 20.37 × 3 =
  21. 21.12345679 × 9 =
  22. 22.12345678 × 9 + 9 =
  23. 23.12345679 × 63 =
  24. 24.12345679 × 45 =
  25. 25.12 × 9 + 3 =
  26. 26.37 × 9 =
  27. 27.12 × 8 + 2 =
  28. 28.11111 × 11111 =
  29. 29.123456 × 9 + 7 =
  30. 30.37 × 15 =
  31. 31.1234 × 8 + 4 =
  32. 32.1234567 × 8 + 7 =
  33. 33.12345679 × 18 =
  34. 34.111 × 111 =
  35. 35.12345679 × 81 =
  36. 36.37 × 24 =
  37. 37.123456789 × 8 + 9 =
  38. 38.37 × 21 =
  39. 39.37 × 18 =
  40. 40.12345679 × 27 =

Answer key

  1. 98765432
  2. 666666666
  3. 1234321
  4. 444444444
  5. 111111
  6. 1111
  7. 98765
  8. 333333333
  9. 777
  10. 11111111
  11. 121
  12. 11111
  13. 12345654321
  14. 444
  15. 222
  16. 888888888
  17. 987654
  18. 987
  19. 999
  20. 111
  21. 111111111
  22. 111111111
  23. 777777777
  24. 555555555
  25. 111
  26. 333
  27. 98
  28. 123454321
  29. 1111111
  30. 555
  31. 9876
  32. 9876543
  33. 222222222
  34. 12321
  35. 999999999
  36. 888
  37. 987654321
  38. 777
  39. 666
  40. 333333333

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