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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 926 · 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. 3.37 × 3 =
  4. 4.12 × 8 + 2 =
  5. 5.12 × 9 + 3 =
  6. 6.123456 × 8 + 6 =
  7. 7.111 × 111 =
  8. 8.12345679 × 72 =
  9. 9.12345679 × 63 =
  10. 10.37 × 24 =
  11. 11.37 × 18 =
  12. 12.1234 × 9 + 5 =
  13. 13.37 × 6 =
  14. 14.12345 × 8 + 5 =
  15. 15.1234567 × 9 + 8 =
  16. 16.123 × 8 + 3 =
  17. 17.37 × 12 =
  18. 18.12345678 × 9 + 9 =
  19. 19.37 × 9 =
  20. 20.12345679 × 36 =
  21. 21.123456 × 9 + 7 =
  22. 22.123456789 × 8 + 9 =
  23. 23.1234 × 8 + 4 =
  24. 24.12345679 × 18 =
  25. 25.37 × 21 =
  26. 26.12345679 × 54 =
  27. 27.11 × 11 =
  28. 28.111111 × 111111 =
  29. 29.37 × 27 =
  30. 30.12345679 × 81 =
  31. 31.1111 × 1111 =
  32. 32.123 × 9 + 4 =
  33. 33.12345679 × 45 =
  34. 34.11111 × 11111 =
  35. 35.12345679 × 9 =
  36. 36.37 × 15 =
  37. 37.12345679 × 9 =
  38. 38.12345 × 9 + 6 =
  39. 39.123 × 9 + 4 =
  40. 40.111 × 111 =

Answer key

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

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