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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 987 · 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. 2.12345679 × 54 =
  3. 3.123 × 8 + 3 =
  4. 4.123456789 × 8 + 9 =
  5. 5.11 × 11 =
  6. 6.12345679 × 9 =
  7. 7.37 × 9 =
  8. 8.37 × 15 =
  9. 9.37 × 24 =
  10. 10.12345679 × 81 =
  11. 11.111111 × 111111 =
  12. 12.123456 × 8 + 6 =
  13. 13.37 × 6 =
  14. 14.12345678 × 9 + 9 =
  15. 15.11111 × 11111 =
  16. 16.1234 × 9 + 5 =
  17. 17.1111 × 1111 =
  18. 18.37 × 3 =
  19. 19.12345 × 9 + 6 =
  20. 20.12345679 × 27 =
  21. 21.123 × 9 + 4 =
  22. 22.37 × 21 =
  23. 23.1234 × 8 + 4 =
  24. 24.12345679 × 18 =
  25. 25.111 × 111 =
  26. 26.1234567 × 8 + 7 =
  27. 27.37 × 27 =
  28. 28.12 × 8 + 2 =
  29. 29.12345678 × 8 + 8 =
  30. 30.12 × 9 + 3 =
  31. 31.12345679 × 45 =
  32. 32.12345679 × 36 =
  33. 33.1234567 × 9 + 8 =
  34. 34.37 × 12 =
  35. 35.123456 × 9 + 7 =
  36. 36.12 × 8 + 2 =
  37. 37.12345 × 8 + 5 =
  38. 38.123 × 8 + 3 =
  39. 39.12345679 × 63 =
  40. 40.1111 × 1111 =

Answer key

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

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