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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 992 · 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 × 72 =
  2. 2.37 × 21 =
  3. 3.12345679 × 18 =
  4. 4.12345679 × 36 =
  5. 5.1234 × 8 + 4 =
  6. 6.12 × 9 + 3 =
  7. 7.37 × 12 =
  8. 8.12345679 × 45 =
  9. 9.37 × 3 =
  10. 10.12345679 × 54 =
  11. 11.12345679 × 27 =
  12. 12.11111 × 11111 =
  13. 13.12345678 × 8 + 8 =
  14. 14.1234567 × 9 + 8 =
  15. 15.12 × 8 + 2 =
  16. 16.123 × 9 + 4 =
  17. 17.37 × 24 =
  18. 18.37 × 9 =
  19. 19.111 × 111 =
  20. 20.111111 × 111111 =
  21. 21.123456 × 9 + 7 =
  22. 22.12345679 × 63 =
  23. 23.11 × 11 =
  24. 24.12345679 × 81 =
  25. 25.1234 × 9 + 5 =
  26. 26.37 × 6 =
  27. 27.12345678 × 9 + 9 =
  28. 28.123 × 8 + 3 =
  29. 29.1111 × 1111 =
  30. 30.37 × 15 =
  31. 31.123456 × 8 + 6 =
  32. 32.37 × 27 =
  33. 33.1234567 × 8 + 7 =
  34. 34.123456789 × 8 + 9 =
  35. 35.12345679 × 36 =
  36. 36.37 × 24 =
  37. 37.12345679 × 9 =
  38. 38.1111 × 1111 =
  39. 39.37 × 18 =
  40. 40.37 × 24 =

Answer key

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

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