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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 909 · 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. 2.37 × 15 =
  3. 3.37 × 18 =
  4. 4.37 × 24 =
  5. 5.1111 × 1111 =
  6. 6.12345679 × 36 =
  7. 7.12 × 9 + 3 =
  8. 8.12345679 × 45 =
  9. 9.123 × 8 + 3 =
  10. 10.12345678 × 9 + 9 =
  11. 11.37 × 6 =
  12. 12.12345 × 8 + 5 =
  13. 13.123456789 × 8 + 9 =
  14. 14.123456 × 8 + 6 =
  15. 15.12345679 × 63 =
  16. 16.12345679 × 54 =
  17. 17.123 × 9 + 4 =
  18. 18.111 × 111 =
  19. 19.12345679 × 27 =
  20. 20.111111 × 111111 =
  21. 21.12345 × 9 + 6 =
  22. 22.37 × 12 =
  23. 23.1234 × 8 + 4 =
  24. 24.12345679 × 72 =
  25. 25.12 × 8 + 2 =
  26. 26.11111 × 11111 =
  27. 27.37 × 3 =
  28. 28.37 × 27 =
  29. 29.1234567 × 9 + 8 =
  30. 30.1234 × 9 + 5 =
  31. 31.11 × 11 =
  32. 32.12345679 × 9 =
  33. 33.1234567 × 8 + 7 =
  34. 34.37 × 21 =
  35. 35.37 × 9 =
  36. 36.12345679 × 81 =
  37. 37.123456789 × 8 + 9 =
  38. 38.12345679 × 18 =
  39. 39.12345678 × 9 + 9 =
  40. 40.123456 × 9 + 7 =

Answer key

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

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