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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 452 · 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. 2.1234 × 8 + 4 =
  3. 3.37 × 21 =
  4. 4.123456789 × 8 + 9 =
  5. 5.123456 × 9 + 7 =
  6. 6.12 × 9 + 3 =
  7. 7.111111 × 111111 =
  8. 8.12345679 × 72 =
  9. 9.37 × 6 =
  10. 10.37 × 12 =
  11. 11.12 × 8 + 2 =
  12. 12.12345679 × 45 =
  13. 13.12345678 × 9 + 9 =
  14. 14.12345679 × 81 =
  15. 15.123 × 9 + 4 =
  16. 16.12345 × 8 + 5 =
  17. 17.111 × 111 =
  18. 18.37 × 3 =
  19. 19.12345678 × 8 + 8 =
  20. 20.1111 × 1111 =
  21. 21.37 × 9 =
  22. 22.12345679 × 63 =
  23. 23.11111 × 11111 =
  24. 24.37 × 15 =
  25. 25.12345679 × 54 =
  26. 26.37 × 27 =
  27. 27.37 × 24 =
  28. 28.1234567 × 9 + 8 =
  29. 29.12345 × 9 + 6 =
  30. 30.12345679 × 9 =
  31. 31.1234 × 9 + 5 =
  32. 32.12345679 × 27 =
  33. 33.11 × 11 =
  34. 34.37 × 18 =
  35. 35.12345679 × 36 =
  36. 36.37 × 9 =
  37. 37.37 × 9 =
  38. 38.12345 × 9 + 6 =
  39. 39.12345679 × 54 =
  40. 40.123 × 8 + 3 =

Answer key

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

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