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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 862 · 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. 4.111 × 111 =
  5. 5.11 × 11 =
  6. 6.12345 × 8 + 5 =
  7. 7.1111 × 1111 =
  8. 8.111111 × 111111 =
  9. 9.123 × 9 + 4 =
  10. 10.12345679 × 27 =
  11. 11.1234 × 8 + 4 =
  12. 12.37 × 3 =
  13. 13.12345679 × 36 =
  14. 14.12345679 × 18 =
  15. 15.37 × 9 =
  16. 16.37 × 6 =
  17. 17.12345679 × 9 =
  18. 18.123456 × 9 + 7 =
  19. 19.12345 × 9 + 6 =
  20. 20.123 × 8 + 3 =
  21. 21.12345679 × 45 =
  22. 22.37 × 15 =
  23. 23.12345679 × 63 =
  24. 24.37 × 18 =
  25. 25.12345679 × 72 =
  26. 26.12345679 × 81 =
  27. 27.11111 × 11111 =
  28. 28.123456789 × 8 + 9 =
  29. 29.12345679 × 54 =
  30. 30.12345678 × 8 + 8 =
  31. 31.1234 × 9 + 5 =
  32. 32.12345 × 8 + 5 =
  33. 33.123456 × 8 + 6 =
  34. 34.1234 × 9 + 5 =
  35. 35.37 × 24 =
  36. 36.123 × 9 + 4 =
  37. 37.1234567 × 8 + 7 =
  38. 38.37 × 6 =
  39. 39.1234567 × 9 + 8 =
  40. 40.37 × 27 =

Answer key

  1. 777
  2. 111
  3. 98
  4. 12321
  5. 121
  6. 98765
  7. 1234321
  8. 12345654321
  9. 1111
  10. 333333333
  11. 9876
  12. 111
  13. 444444444
  14. 222222222
  15. 333
  16. 222
  17. 111111111
  18. 1111111
  19. 111111
  20. 987
  21. 555555555
  22. 555
  23. 777777777
  24. 666
  25. 888888888
  26. 999999999
  27. 123454321
  28. 987654321
  29. 666666666
  30. 98765432
  31. 11111
  32. 98765
  33. 987654
  34. 11111
  35. 888
  36. 1111
  37. 9876543
  38. 222
  39. 11111111
  40. 999

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