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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 289 · 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 × 81 =
  2. 2.123456 × 8 + 6 =
  3. 3.37 × 3 =
  4. 4.12 × 8 + 2 =
  5. 5.111111 × 111111 =
  6. 6.37 × 21 =
  7. 7.1234 × 8 + 4 =
  8. 8.123 × 9 + 4 =
  9. 9.37 × 15 =
  10. 10.12345678 × 8 + 8 =
  11. 11.12345679 × 18 =
  12. 12.123456789 × 8 + 9 =
  13. 13.12 × 9 + 3 =
  14. 14.12345679 × 63 =
  15. 15.1234567 × 8 + 7 =
  16. 16.37 × 27 =
  17. 17.37 × 9 =
  18. 18.123 × 8 + 3 =
  19. 19.11 × 11 =
  20. 20.12345679 × 9 =
  21. 21.12345678 × 9 + 9 =
  22. 22.37 × 18 =
  23. 23.12345679 × 72 =
  24. 24.1234 × 9 + 5 =
  25. 25.123456 × 9 + 7 =
  26. 26.111 × 111 =
  27. 27.37 × 12 =
  28. 28.12345 × 9 + 6 =
  29. 29.1111 × 1111 =
  30. 30.12345679 × 54 =
  31. 31.37 × 24 =
  32. 32.12345679 × 36 =
  33. 33.1234567 × 9 + 8 =
  34. 34.12345679 × 45 =
  35. 35.37 × 6 =
  36. 36.11111 × 11111 =
  37. 37.11111 × 11111 =
  38. 38.12345 × 9 + 6 =
  39. 39.12345679 × 27 =
  40. 40.1234 × 9 + 5 =

Answer key

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

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