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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 920 · 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. 1.1234567 × 8 + 7 =
  2. 2.12345 × 8 + 5 =
  3. 3.12345678 × 8 + 8 =
  4. 4.12345679 × 63 =
  5. 5.12345679 × 18 =
  6. 6.1111 × 1111 =
  7. 7.11111 × 11111 =
  8. 8.37 × 18 =
  9. 9.123456789 × 8 + 9 =
  10. 10.111111 × 111111 =
  11. 11.12345679 × 54 =
  12. 12.37 × 15 =
  13. 13.123456 × 9 + 7 =
  14. 14.12345679 × 72 =
  15. 15.37 × 21 =
  16. 16.1234 × 9 + 5 =
  17. 17.12345678 × 9 + 9 =
  18. 18.123456 × 8 + 6 =
  19. 19.12345679 × 27 =
  20. 20.123 × 8 + 3 =
  21. 21.111 × 111 =
  22. 22.37 × 12 =
  23. 23.37 × 3 =
  24. 24.12345679 × 81 =
  25. 25.37 × 9 =
  26. 26.11 × 11 =
  27. 27.12345679 × 36 =
  28. 28.12 × 9 + 3 =
  29. 29.1234 × 8 + 4 =
  30. 30.37 × 27 =
  31. 31.12345679 × 9 =
  32. 32.37 × 6 =
  33. 33.11111 × 11111 =
  34. 34.12345679 × 45 =
  35. 35.12345 × 9 + 6 =
  36. 36.12 × 8 + 2 =
  37. 37.123 × 9 + 4 =
  38. 38.11111 × 11111 =
  39. 39.1234567 × 9 + 8 =
  40. 40.37 × 24 =

Answer key

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

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