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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 628 · 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 × 18 =
  2. 2.12345679 × 36 =
  3. 3.37 × 12 =
  4. 4.12345679 × 45 =
  5. 5.37 × 18 =
  6. 6.1234567 × 9 + 8 =
  7. 7.111111 × 111111 =
  8. 8.1111 × 1111 =
  9. 9.12345679 × 9 =
  10. 10.111 × 111 =
  11. 11.123 × 9 + 4 =
  12. 12.123456789 × 8 + 9 =
  13. 13.12 × 8 + 2 =
  14. 14.123456 × 8 + 6 =
  15. 15.11 × 11 =
  16. 16.37 × 3 =
  17. 17.1234 × 9 + 5 =
  18. 18.12345679 × 81 =
  19. 19.37 × 9 =
  20. 20.123456 × 9 + 7 =
  21. 21.12345679 × 54 =
  22. 22.37 × 27 =
  23. 23.12 × 9 + 3 =
  24. 24.1234567 × 8 + 7 =
  25. 25.11111 × 11111 =
  26. 26.1234 × 8 + 4 =
  27. 27.37 × 6 =
  28. 28.37 × 15 =
  29. 29.12345678 × 9 + 9 =
  30. 30.123 × 8 + 3 =
  31. 31.37 × 24 =
  32. 32.12345679 × 27 =
  33. 33.12345679 × 63 =
  34. 34.12345678 × 8 + 8 =
  35. 35.12345679 × 45 =
  36. 36.12345679 × 36 =
  37. 37.12345679 × 72 =
  38. 38.12345679 × 81 =
  39. 39.12345 × 9 + 6 =
  40. 40.12345 × 8 + 5 =

Answer key

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

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