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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 964 · 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 × 12 =
  2. 2.123456 × 8 + 6 =
  3. 3.1111 × 1111 =
  4. 4.123456 × 9 + 7 =
  5. 5.11 × 11 =
  6. 6.12345679 × 63 =
  7. 7.1234567 × 9 + 8 =
  8. 8.11111 × 11111 =
  9. 9.12345679 × 27 =
  10. 10.111111 × 111111 =
  11. 11.37 × 24 =
  12. 12.12 × 9 + 3 =
  13. 13.123 × 9 + 4 =
  14. 14.37 × 27 =
  15. 15.12345679 × 72 =
  16. 16.37 × 15 =
  17. 17.123456789 × 8 + 9 =
  18. 18.37 × 18 =
  19. 19.1234 × 8 + 4 =
  20. 20.12345679 × 18 =
  21. 21.12345 × 9 + 6 =
  22. 22.1234567 × 8 + 7 =
  23. 23.12345679 × 81 =
  24. 24.37 × 3 =
  25. 25.12345679 × 9 =
  26. 26.1234 × 9 + 5 =
  27. 27.12345679 × 36 =
  28. 28.37 × 6 =
  29. 29.12345678 × 8 + 8 =
  30. 30.11111 × 11111 =
  31. 31.111 × 111 =
  32. 32.12345679 × 45 =
  33. 33.123 × 8 + 3 =
  34. 34.12345678 × 9 + 9 =
  35. 35.37 × 18 =
  36. 36.12345679 × 54 =
  37. 37.1111 × 1111 =
  38. 38.37 × 9 =
  39. 39.111 × 111 =
  40. 40.11 × 11 =

Answer key

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

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