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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 814 · 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. 1.37 × 21 =
  2. 2.12 × 8 + 2 =
  3. 3.12345679 × 72 =
  4. 4.1234 × 8 + 4 =
  5. 5.37 × 3 =
  6. 6.12345679 × 18 =
  7. 7.123 × 9 + 4 =
  8. 8.12345 × 9 + 6 =
  9. 9.12345679 × 27 =
  10. 10.111 × 111 =
  11. 11.12345679 × 9 =
  12. 12.123456 × 8 + 6 =
  13. 13.1234 × 9 + 5 =
  14. 14.12 × 9 + 3 =
  15. 15.37 × 9 =
  16. 16.12345679 × 81 =
  17. 17.37 × 18 =
  18. 18.11111 × 11111 =
  19. 19.12345678 × 9 + 9 =
  20. 20.12345 × 8 + 5 =
  21. 21.12345679 × 45 =
  22. 22.37 × 15 =
  23. 23.111111 × 111111 =
  24. 24.11 × 11 =
  25. 25.12345679 × 36 =
  26. 26.37 × 27 =
  27. 27.1111 × 1111 =
  28. 28.12345679 × 54 =
  29. 29.37 × 12 =
  30. 30.37 × 6 =
  31. 31.12345679 × 63 =
  32. 32.123456 × 9 + 7 =
  33. 33.123 × 8 + 3 =
  34. 34.37 × 24 =
  35. 35.37 × 12 =
  36. 36.12345678 × 8 + 8 =
  37. 37.123456789 × 8 + 9 =
  38. 38.1234567 × 9 + 8 =
  39. 39.37 × 18 =
  40. 40.1234567 × 8 + 7 =

Answer key

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

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