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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 946 · 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. 1.123 × 9 + 4 =
  2. 2.12345679 × 36 =
  3. 3.1234567 × 8 + 7 =
  4. 4.37 × 27 =
  5. 5.12345 × 8 + 5 =
  6. 6.123 × 8 + 3 =
  7. 7.12345 × 9 + 6 =
  8. 8.12345679 × 27 =
  9. 9.123456789 × 8 + 9 =
  10. 10.12 × 9 + 3 =
  11. 11.11111 × 11111 =
  12. 12.123456 × 8 + 6 =
  13. 13.37 × 12 =
  14. 14.37 × 24 =
  15. 15.37 × 6 =
  16. 16.12345679 × 45 =
  17. 17.37 × 3 =
  18. 18.12345679 × 54 =
  19. 19.37 × 21 =
  20. 20.1111 × 1111 =
  21. 21.111 × 111 =
  22. 22.37 × 18 =
  23. 23.12345679 × 9 =
  24. 24.12345679 × 18 =
  25. 25.37 × 15 =
  26. 26.111111 × 111111 =
  27. 27.11 × 11 =
  28. 28.123456 × 9 + 7 =
  29. 29.12345679 × 63 =
  30. 30.1234 × 9 + 5 =
  31. 31.12345678 × 8 + 8 =
  32. 32.12345678 × 9 + 9 =
  33. 33.12345679 × 81 =
  34. 34.1234 × 8 + 4 =
  35. 35.12345679 × 72 =
  36. 36.1234567 × 9 + 8 =
  37. 37.11 × 11 =
  38. 38.12345 × 8 + 5 =
  39. 39.12 × 8 + 2 =
  40. 40.11111 × 11111 =

Answer key

  1. 1111
  2. 444444444
  3. 9876543
  4. 999
  5. 98765
  6. 987
  7. 111111
  8. 333333333
  9. 987654321
  10. 111
  11. 123454321
  12. 987654
  13. 444
  14. 888
  15. 222
  16. 555555555
  17. 111
  18. 666666666
  19. 777
  20. 1234321
  21. 12321
  22. 666
  23. 111111111
  24. 222222222
  25. 555
  26. 12345654321
  27. 121
  28. 1111111
  29. 777777777
  30. 11111
  31. 98765432
  32. 111111111
  33. 999999999
  34. 9876
  35. 888888888
  36. 11111111
  37. 121
  38. 98765
  39. 98
  40. 123454321

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