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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 973 · 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 × 27 =
  2. 2.1234 × 8 + 4 =
  3. 3.12345679 × 9 =
  4. 4.12345679 × 45 =
  5. 5.12345679 × 36 =
  6. 6.111 × 111 =
  7. 7.12345 × 8 + 5 =
  8. 8.37 × 15 =
  9. 9.12345678 × 9 + 9 =
  10. 10.12345679 × 54 =
  11. 11.12345 × 9 + 6 =
  12. 12.12345679 × 63 =
  13. 13.12345679 × 18 =
  14. 14.1234567 × 8 + 7 =
  15. 15.12 × 8 + 2 =
  16. 16.11 × 11 =
  17. 17.37 × 24 =
  18. 18.1111 × 1111 =
  19. 19.1234 × 9 + 5 =
  20. 20.37 × 21 =
  21. 21.123456 × 9 + 7 =
  22. 22.111111 × 111111 =
  23. 23.123 × 9 + 4 =
  24. 24.12345679 × 81 =
  25. 25.37 × 6 =
  26. 26.123456 × 8 + 6 =
  27. 27.12345679 × 27 =
  28. 28.12 × 9 + 3 =
  29. 29.123456789 × 8 + 9 =
  30. 30.111111 × 111111 =
  31. 31.37 × 9 =
  32. 32.123 × 8 + 3 =
  33. 33.1234567 × 8 + 7 =
  34. 34.37 × 18 =
  35. 35.123456 × 9 + 7 =
  36. 36.37 × 12 =
  37. 37.12345678 × 8 + 8 =
  38. 38.37 × 3 =
  39. 39.12345679 × 72 =
  40. 40.12345678 × 8 + 8 =

Answer key

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

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