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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 822 · 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. 1.12345679 × 36 =
  2. 2.11 × 11 =
  3. 3.12345679 × 18 =
  4. 4.123 × 9 + 4 =
  5. 5.1234567 × 8 + 7 =
  6. 6.37 × 6 =
  7. 7.37 × 12 =
  8. 8.12 × 8 + 2 =
  9. 9.1234567 × 9 + 8 =
  10. 10.123 × 8 + 3 =
  11. 11.123456789 × 8 + 9 =
  12. 12.37 × 9 =
  13. 13.12345679 × 9 =
  14. 14.12345 × 9 + 6 =
  15. 15.12345679 × 54 =
  16. 16.111111 × 111111 =
  17. 17.12345679 × 81 =
  18. 18.12345679 × 45 =
  19. 19.11111 × 11111 =
  20. 20.111 × 111 =
  21. 21.12345 × 8 + 5 =
  22. 22.12345678 × 9 + 9 =
  23. 23.1111 × 1111 =
  24. 24.37 × 27 =
  25. 25.12345679 × 72 =
  26. 26.37 × 24 =
  27. 27.12 × 9 + 3 =
  28. 28.37 × 3 =
  29. 29.37 × 18 =
  30. 30.12345678 × 8 + 8 =
  31. 31.1234 × 9 + 5 =
  32. 32.1234 × 8 + 4 =
  33. 33.12 × 8 + 2 =
  34. 34.123456 × 9 + 7 =
  35. 35.123456 × 8 + 6 =
  36. 36.12345679 × 63 =
  37. 37.37 × 15 =
  38. 38.1111 × 1111 =
  39. 39.12345679 × 27 =
  40. 40.37 × 21 =

Answer key

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

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