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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 901 · 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. 1.12 × 8 + 2 =
  2. 2.111111 × 111111 =
  3. 3.12345679 × 63 =
  4. 4.12345 × 8 + 5 =
  5. 5.12345679 × 18 =
  6. 6.37 × 9 =
  7. 7.37 × 6 =
  8. 8.123 × 8 + 3 =
  9. 9.37 × 24 =
  10. 10.1234567 × 9 + 8 =
  11. 11.12345 × 9 + 6 =
  12. 12.11 × 11 =
  13. 13.12 × 9 + 3 =
  14. 14.37 × 15 =
  15. 15.1234 × 8 + 4 =
  16. 16.12345679 × 36 =
  17. 17.12345679 × 9 =
  18. 18.12345679 × 81 =
  19. 19.12345679 × 27 =
  20. 20.12345679 × 72 =
  21. 21.123456789 × 8 + 9 =
  22. 22.37 × 18 =
  23. 23.1234 × 9 + 5 =
  24. 24.1234567 × 8 + 7 =
  25. 25.11111 × 11111 =
  26. 26.111 × 111 =
  27. 27.123 × 9 + 4 =
  28. 28.37 × 21 =
  29. 29.12345679 × 54 =
  30. 30.37 × 12 =
  31. 31.12345678 × 9 + 9 =
  32. 32.12345679 × 45 =
  33. 33.37 × 3 =
  34. 34.123 × 9 + 4 =
  35. 35.37 × 27 =
  36. 36.12345678 × 8 + 8 =
  37. 37.123456 × 9 + 7 =
  38. 38.1111 × 1111 =
  39. 39.37 × 3 =
  40. 40.12345678 × 8 + 8 =

Answer key

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

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