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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 965 · 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 × 18 =
  2. 2.12345678 × 8 + 8 =
  3. 3.12345679 × 81 =
  4. 4.11 × 11 =
  5. 5.37 × 15 =
  6. 6.123 × 8 + 3 =
  7. 7.123456 × 8 + 6 =
  8. 8.12345679 × 36 =
  9. 9.37 × 24 =
  10. 10.123456 × 9 + 7 =
  11. 11.111 × 111 =
  12. 12.12 × 8 + 2 =
  13. 13.12345679 × 54 =
  14. 14.37 × 21 =
  15. 15.12345 × 9 + 6 =
  16. 16.11111 × 11111 =
  17. 17.1111 × 1111 =
  18. 18.37 × 6 =
  19. 19.37 × 27 =
  20. 20.12345679 × 63 =
  21. 21.1234 × 9 + 5 =
  22. 22.12345679 × 27 =
  23. 23.12345678 × 9 + 9 =
  24. 24.12345679 × 72 =
  25. 25.111111 × 111111 =
  26. 26.1234567 × 9 + 8 =
  27. 27.12 × 9 + 3 =
  28. 28.12345679 × 45 =
  29. 29.12345 × 8 + 5 =
  30. 30.12345679 × 18 =
  31. 31.123456789 × 8 + 9 =
  32. 32.37 × 9 =
  33. 33.1234 × 8 + 4 =
  34. 34.37 × 12 =
  35. 35.12 × 8 + 2 =
  36. 36.1234567 × 8 + 7 =
  37. 37.12 × 9 + 3 =
  38. 38.123 × 9 + 4 =
  39. 39.12345679 × 9 =
  40. 40.123 × 8 + 3 =

Answer key

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

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