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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 85 · 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 × 45 =
  2. 2.37 × 21 =
  3. 3.12345679 × 81 =
  4. 4.12345679 × 9 =
  5. 5.37 × 15 =
  6. 6.12345679 × 18 =
  7. 7.1234567 × 9 + 8 =
  8. 8.12345679 × 72 =
  9. 9.37 × 12 =
  10. 10.37 × 18 =
  11. 11.111111 × 111111 =
  12. 12.123 × 9 + 4 =
  13. 13.12345 × 9 + 6 =
  14. 14.123456 × 8 + 6 =
  15. 15.1111 × 1111 =
  16. 16.11111 × 11111 =
  17. 17.12345679 × 54 =
  18. 18.11 × 11 =
  19. 19.1234567 × 8 + 7 =
  20. 20.37 × 27 =
  21. 21.123456 × 9 + 7 =
  22. 22.37 × 24 =
  23. 23.37 × 9 =
  24. 24.111 × 111 =
  25. 25.12345679 × 63 =
  26. 26.12345678 × 8 + 8 =
  27. 27.1234 × 8 + 4 =
  28. 28.12345678 × 9 + 9 =
  29. 29.12345679 × 36 =
  30. 30.1234 × 9 + 5 =
  31. 31.12 × 8 + 2 =
  32. 32.12345679 × 27 =
  33. 33.12 × 9 + 3 =
  34. 34.12345 × 8 + 5 =
  35. 35.37 × 3 =
  36. 36.37 × 6 =
  37. 37.12345679 × 45 =
  38. 38.123456789 × 8 + 9 =
  39. 39.12 × 9 + 3 =
  40. 40.123 × 8 + 3 =

Answer key

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

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