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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 952 · 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. 1.12345678 × 8 + 8 =
  2. 2.1234567 × 8 + 7 =
  3. 3.37 × 21 =
  4. 4.37 × 12 =
  5. 5.37 × 24 =
  6. 6.37 × 18 =
  7. 7.111111 × 111111 =
  8. 8.37 × 9 =
  9. 9.1234 × 8 + 4 =
  10. 10.123456 × 9 + 7 =
  11. 11.12345679 × 9 =
  12. 12.111 × 111 =
  13. 13.12345679 × 27 =
  14. 14.12 × 9 + 3 =
  15. 15.12345679 × 36 =
  16. 16.12345679 × 81 =
  17. 17.123 × 9 + 4 =
  18. 18.123 × 8 + 3 =
  19. 19.37 × 6 =
  20. 20.12345678 × 9 + 9 =
  21. 21.123456 × 8 + 6 =
  22. 22.12345679 × 63 =
  23. 23.11 × 11 =
  24. 24.11111 × 11111 =
  25. 25.1234567 × 9 + 8 =
  26. 26.37 × 27 =
  27. 27.12345 × 8 + 5 =
  28. 28.1111 × 1111 =
  29. 29.37 × 3 =
  30. 30.12345679 × 18 =
  31. 31.12345679 × 45 =
  32. 32.12345 × 9 + 6 =
  33. 33.1234567 × 8 + 7 =
  34. 34.12345679 × 54 =
  35. 35.12 × 8 + 2 =
  36. 36.111 × 111 =
  37. 37.1234 × 9 + 5 =
  38. 38.11111 × 11111 =
  39. 39.37 × 18 =
  40. 40.12345679 × 72 =

Answer key

  1. 98765432
  2. 9876543
  3. 777
  4. 444
  5. 888
  6. 666
  7. 12345654321
  8. 333
  9. 9876
  10. 1111111
  11. 111111111
  12. 12321
  13. 333333333
  14. 111
  15. 444444444
  16. 999999999
  17. 1111
  18. 987
  19. 222
  20. 111111111
  21. 987654
  22. 777777777
  23. 121
  24. 123454321
  25. 11111111
  26. 999
  27. 98765
  28. 1234321
  29. 111
  30. 222222222
  31. 555555555
  32. 111111
  33. 9876543
  34. 666666666
  35. 98
  36. 12321
  37. 11111
  38. 123454321
  39. 666
  40. 888888888

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