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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 916 · 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 × 12 =
  2. 2.123 × 9 + 4 =
  3. 3.1234567 × 9 + 8 =
  4. 4.37 × 15 =
  5. 5.37 × 27 =
  6. 6.12345679 × 81 =
  7. 7.37 × 6 =
  8. 8.37 × 9 =
  9. 9.12345679 × 9 =
  10. 10.37 × 18 =
  11. 11.12345679 × 54 =
  12. 12.12345679 × 45 =
  13. 13.123456789 × 8 + 9 =
  14. 14.12345 × 8 + 5 =
  15. 15.123456 × 8 + 6 =
  16. 16.12345679 × 36 =
  17. 17.37 × 3 =
  18. 18.12345678 × 8 + 8 =
  19. 19.11 × 11 =
  20. 20.37 × 21 =
  21. 21.12345679 × 63 =
  22. 22.12345 × 9 + 6 =
  23. 23.37 × 24 =
  24. 24.1234 × 8 + 4 =
  25. 25.12 × 9 + 3 =
  26. 26.111 × 111 =
  27. 27.12345679 × 18 =
  28. 28.1234 × 9 + 5 =
  29. 29.12 × 8 + 2 =
  30. 30.111111 × 111111 =
  31. 31.1111 × 1111 =
  32. 32.12345679 × 27 =
  33. 33.111111 × 111111 =
  34. 34.12345678 × 9 + 9 =
  35. 35.123 × 8 + 3 =
  36. 36.123456 × 9 + 7 =
  37. 37.12345679 × 18 =
  38. 38.1234567 × 8 + 7 =
  39. 39.11111 × 11111 =
  40. 40.12345678 × 8 + 8 =

Answer key

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

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