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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 550 · 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 × 72 =
  2. 2.1234 × 8 + 4 =
  3. 3.11 × 11 =
  4. 4.37 × 18 =
  5. 5.37 × 24 =
  6. 6.12345679 × 54 =
  7. 7.37 × 3 =
  8. 8.1234567 × 8 + 7 =
  9. 9.123 × 8 + 3 =
  10. 10.37 × 6 =
  11. 11.12345 × 9 + 6 =
  12. 12.123 × 9 + 4 =
  13. 13.11111 × 11111 =
  14. 14.12345679 × 45 =
  15. 15.111111 × 111111 =
  16. 16.12345 × 8 + 5 =
  17. 17.37 × 27 =
  18. 18.1111 × 1111 =
  19. 19.12345679 × 36 =
  20. 20.123456 × 8 + 6 =
  21. 21.12 × 9 + 3 =
  22. 22.12345678 × 8 + 8 =
  23. 23.37 × 21 =
  24. 24.123456789 × 8 + 9 =
  25. 25.12345679 × 18 =
  26. 26.12345679 × 9 =
  27. 27.1234567 × 9 + 8 =
  28. 28.37 × 9 =
  29. 29.12345678 × 9 + 9 =
  30. 30.12345679 × 63 =
  31. 31.1234 × 9 + 5 =
  32. 32.123456 × 9 + 7 =
  33. 33.37 × 18 =
  34. 34.12 × 8 + 2 =
  35. 35.37 × 15 =
  36. 36.12345679 × 81 =
  37. 37.1234 × 9 + 5 =
  38. 38.12345679 × 27 =
  39. 39.111 × 111 =
  40. 40.12345 × 9 + 6 =

Answer key

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

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