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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 858 · 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. 1.37 × 21 =
  2. 2.12 × 9 + 3 =
  3. 3.12 × 8 + 2 =
  4. 4.123456 × 9 + 7 =
  5. 5.12345679 × 18 =
  6. 6.123 × 9 + 4 =
  7. 7.12345 × 9 + 6 =
  8. 8.12345679 × 36 =
  9. 9.37 × 9 =
  10. 10.1111 × 1111 =
  11. 11.12345679 × 81 =
  12. 12.12345679 × 45 =
  13. 13.12345679 × 27 =
  14. 14.12345679 × 63 =
  15. 15.1234 × 8 + 4 =
  16. 16.37 × 3 =
  17. 17.11111 × 11111 =
  18. 18.12345 × 8 + 5 =
  19. 19.12345679 × 54 =
  20. 20.123 × 8 + 3 =
  21. 21.37 × 6 =
  22. 22.11 × 11 =
  23. 23.1234567 × 8 + 7 =
  24. 24.12345678 × 9 + 9 =
  25. 25.37 × 27 =
  26. 26.37 × 18 =
  27. 27.1234567 × 9 + 8 =
  28. 28.12345679 × 9 =
  29. 29.111111 × 111111 =
  30. 30.111 × 111 =
  31. 31.12345678 × 8 + 8 =
  32. 32.37 × 12 =
  33. 33.37 × 24 =
  34. 34.37 × 15 =
  35. 35.12 × 9 + 3 =
  36. 36.123456789 × 8 + 9 =
  37. 37.12345679 × 72 =
  38. 38.12345679 × 27 =
  39. 39.37 × 27 =
  40. 40.1234 × 9 + 5 =

Answer key

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

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