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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 40 · 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 × 9 =
  2. 2.123 × 9 + 4 =
  3. 3.12345679 × 54 =
  4. 4.1234567 × 8 + 7 =
  5. 5.123 × 8 + 3 =
  6. 6.123456 × 8 + 6 =
  7. 7.1234 × 8 + 4 =
  8. 8.37 × 27 =
  9. 9.37 × 15 =
  10. 10.1234 × 9 + 5 =
  11. 11.12 × 8 + 2 =
  12. 12.1111 × 1111 =
  13. 13.123456 × 9 + 7 =
  14. 14.123456789 × 8 + 9 =
  15. 15.12 × 9 + 3 =
  16. 16.12345 × 9 + 6 =
  17. 17.12345 × 8 + 5 =
  18. 18.37 × 9 =
  19. 19.37 × 18 =
  20. 20.12345679 × 72 =
  21. 21.12345679 × 18 =
  22. 22.111111 × 111111 =
  23. 23.12345678 × 9 + 9 =
  24. 24.111 × 111 =
  25. 25.37 × 3 =
  26. 26.11 × 11 =
  27. 27.1234567 × 9 + 8 =
  28. 28.12345679 × 81 =
  29. 29.37 × 12 =
  30. 30.12345679 × 27 =
  31. 31.37 × 21 =
  32. 32.37 × 6 =
  33. 33.12345678 × 8 + 8 =
  34. 34.12345 × 9 + 6 =
  35. 35.37 × 24 =
  36. 36.12345 × 9 + 6 =
  37. 37.11111 × 11111 =
  38. 38.11 × 11 =
  39. 39.123456 × 8 + 6 =
  40. 40.12345679 × 45 =

Answer key

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

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