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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 962 · 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 × 9 + 9 =
  2. 2.1234567 × 8 + 7 =
  3. 3.123456 × 9 + 7 =
  4. 4.12345679 × 63 =
  5. 5.37 × 24 =
  6. 6.1234 × 9 + 5 =
  7. 7.123 × 8 + 3 =
  8. 8.12345679 × 45 =
  9. 9.1234 × 8 + 4 =
  10. 10.12345679 × 9 =
  11. 11.111111 × 111111 =
  12. 12.37 × 6 =
  13. 13.12345679 × 54 =
  14. 14.123456789 × 8 + 9 =
  15. 15.12345678 × 8 + 8 =
  16. 16.37 × 18 =
  17. 17.111 × 111 =
  18. 18.12345679 × 36 =
  19. 19.1234567 × 9 + 8 =
  20. 20.123 × 9 + 4 =
  21. 21.12345679 × 72 =
  22. 22.37 × 12 =
  23. 23.12345 × 9 + 6 =
  24. 24.12 × 8 + 2 =
  25. 25.12345679 × 27 =
  26. 26.12345679 × 18 =
  27. 27.12345 × 8 + 5 =
  28. 28.37 × 9 =
  29. 29.37 × 27 =
  30. 30.37 × 21 =
  31. 31.12345679 × 81 =
  32. 32.11 × 11 =
  33. 33.11 × 11 =
  34. 34.1111 × 1111 =
  35. 35.11111 × 11111 =
  36. 36.1111 × 1111 =
  37. 37.123456789 × 8 + 9 =
  38. 38.37 × 15 =
  39. 39.37 × 3 =
  40. 40.123456 × 8 + 6 =

Answer key

  1. 111111111
  2. 9876543
  3. 1111111
  4. 777777777
  5. 888
  6. 11111
  7. 987
  8. 555555555
  9. 9876
  10. 111111111
  11. 12345654321
  12. 222
  13. 666666666
  14. 987654321
  15. 98765432
  16. 666
  17. 12321
  18. 444444444
  19. 11111111
  20. 1111
  21. 888888888
  22. 444
  23. 111111
  24. 98
  25. 333333333
  26. 222222222
  27. 98765
  28. 333
  29. 999
  30. 777
  31. 999999999
  32. 121
  33. 121
  34. 1234321
  35. 123454321
  36. 1234321
  37. 987654321
  38. 555
  39. 111
  40. 987654

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