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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 942 · 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. 1.12345678 × 8 + 8 =
  2. 2.37 × 18 =
  3. 3.37 × 12 =
  4. 4.12345679 × 27 =
  5. 5.111111 × 111111 =
  6. 6.1234567 × 9 + 8 =
  7. 7.12345679 × 72 =
  8. 8.1111 × 1111 =
  9. 9.12345679 × 81 =
  10. 10.12345679 × 63 =
  11. 11.37 × 6 =
  12. 12.12 × 8 + 2 =
  13. 13.123456 × 8 + 6 =
  14. 14.1234567 × 8 + 7 =
  15. 15.1234 × 8 + 4 =
  16. 16.123 × 9 + 4 =
  17. 17.12345678 × 9 + 9 =
  18. 18.12345679 × 9 =
  19. 19.111 × 111 =
  20. 20.37 × 3 =
  21. 21.12345679 × 36 =
  22. 22.12 × 9 + 3 =
  23. 23.123456789 × 8 + 9 =
  24. 24.37 × 24 =
  25. 25.11111 × 11111 =
  26. 26.37 × 15 =
  27. 27.12345 × 9 + 6 =
  28. 28.123 × 8 + 3 =
  29. 29.123456 × 9 + 7 =
  30. 30.12345679 × 45 =
  31. 31.11 × 11 =
  32. 32.12345679 × 18 =
  33. 33.37 × 21 =
  34. 34.1234 × 9 + 5 =
  35. 35.12345679 × 81 =
  36. 36.37 × 9 =
  37. 37.12345679 × 54 =
  38. 38.111 × 111 =
  39. 39.12 × 9 + 3 =
  40. 40.12345679 × 36 =

Answer key

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

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