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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 919 · 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. 1.12 × 8 + 2 =
  2. 2.37 × 27 =
  3. 3.37 × 24 =
  4. 4.1234567 × 9 + 8 =
  5. 5.37 × 18 =
  6. 6.12345679 × 27 =
  7. 7.1234 × 8 + 4 =
  8. 8.12345 × 8 + 5 =
  9. 9.123 × 8 + 3 =
  10. 10.12345678 × 9 + 9 =
  11. 11.111111 × 111111 =
  12. 12.12345679 × 9 =
  13. 13.12345679 × 72 =
  14. 14.12345679 × 63 =
  15. 15.37 × 21 =
  16. 16.123 × 9 + 4 =
  17. 17.12345679 × 45 =
  18. 18.123456 × 8 + 6 =
  19. 19.12345678 × 8 + 8 =
  20. 20.12345679 × 36 =
  21. 21.37 × 9 =
  22. 22.123456789 × 8 + 9 =
  23. 23.1111 × 1111 =
  24. 24.12345679 × 54 =
  25. 25.11111 × 11111 =
  26. 26.11 × 11 =
  27. 27.37 × 3 =
  28. 28.12345679 × 81 =
  29. 29.1234567 × 8 + 7 =
  30. 30.12 × 9 + 3 =
  31. 31.1234 × 9 + 5 =
  32. 32.123456 × 8 + 6 =
  33. 33.37 × 15 =
  34. 34.37 × 6 =
  35. 35.111 × 111 =
  36. 36.37 × 12 =
  37. 37.12345 × 9 + 6 =
  38. 38.123456 × 9 + 7 =
  39. 39.37 × 3 =
  40. 40.12345679 × 18 =

Answer key

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

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