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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 767 · 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. 1.123456789 × 8 + 9 =
  2. 2.12345679 × 27 =
  3. 3.123456 × 9 + 7 =
  4. 4.123 × 8 + 3 =
  5. 5.37 × 27 =
  6. 6.12345679 × 9 =
  7. 7.12345679 × 81 =
  8. 8.1234567 × 9 + 8 =
  9. 9.1111 × 1111 =
  10. 10.37 × 6 =
  11. 11.111111 × 111111 =
  12. 12.37 × 18 =
  13. 13.12345679 × 72 =
  14. 14.12345678 × 9 + 9 =
  15. 15.12345 × 9 + 6 =
  16. 16.11111 × 11111 =
  17. 17.12345679 × 18 =
  18. 18.111 × 111 =
  19. 19.37 × 24 =
  20. 20.12345679 × 63 =
  21. 21.37 × 9 =
  22. 22.37 × 15 =
  23. 23.11 × 11 =
  24. 24.37 × 3 =
  25. 25.12 × 8 + 2 =
  26. 26.12345678 × 8 + 8 =
  27. 27.123 × 9 + 4 =
  28. 28.37 × 12 =
  29. 29.12345679 × 36 =
  30. 30.12345679 × 45 =
  31. 31.1234567 × 8 + 7 =
  32. 32.37 × 21 =
  33. 33.12 × 9 + 3 =
  34. 34.1234 × 9 + 5 =
  35. 35.12345 × 8 + 5 =
  36. 36.37 × 21 =
  37. 37.12345679 × 54 =
  38. 38.111111 × 111111 =
  39. 39.111111 × 111111 =
  40. 40.1234567 × 9 + 8 =

Answer key

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

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