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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 547 · 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. 1.37 × 6 =
  2. 2.123456789 × 8 + 9 =
  3. 3.11 × 11 =
  4. 4.1111 × 1111 =
  5. 5.37 × 21 =
  6. 6.1234567 × 9 + 8 =
  7. 7.12345679 × 72 =
  8. 8.12 × 8 + 2 =
  9. 9.12345679 × 18 =
  10. 10.123 × 8 + 3 =
  11. 11.111111 × 111111 =
  12. 12.12345678 × 9 + 9 =
  13. 13.12345679 × 63 =
  14. 14.37 × 3 =
  15. 15.1234 × 9 + 5 =
  16. 16.37 × 15 =
  17. 17.12345679 × 36 =
  18. 18.12 × 9 + 3 =
  19. 19.12345679 × 54 =
  20. 20.37 × 9 =
  21. 21.37 × 12 =
  22. 22.1234 × 8 + 4 =
  23. 23.111 × 111 =
  24. 24.11111 × 11111 =
  25. 25.123 × 9 + 4 =
  26. 26.123456 × 9 + 7 =
  27. 27.12345 × 9 + 6 =
  28. 28.123456 × 8 + 6 =
  29. 29.12345679 × 81 =
  30. 30.37 × 27 =
  31. 31.12345679 × 27 =
  32. 32.12345679 × 45 =
  33. 33.12345 × 8 + 5 =
  34. 34.12345679 × 9 =
  35. 35.12345678 × 8 + 8 =
  36. 36.37 × 24 =
  37. 37.37 × 18 =
  38. 38.1234567 × 8 + 7 =
  39. 39.12345678 × 8 + 8 =
  40. 40.12 × 8 + 2 =

Answer key

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

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