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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 493 · 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 × 36 =
  2. 2.37 × 3 =
  3. 3.11 × 11 =
  4. 4.12345679 × 9 =
  5. 5.123456 × 8 + 6 =
  6. 6.12345678 × 9 + 9 =
  7. 7.37 × 27 =
  8. 8.12345679 × 18 =
  9. 9.12345679 × 72 =
  10. 10.12345 × 8 + 5 =
  11. 11.37 × 15 =
  12. 12.111111 × 111111 =
  13. 13.1234 × 9 + 5 =
  14. 14.1111 × 1111 =
  15. 15.37 × 6 =
  16. 16.37 × 21 =
  17. 17.123456 × 9 + 7 =
  18. 18.12345679 × 63 =
  19. 19.37 × 12 =
  20. 20.12345679 × 27 =
  21. 21.1234567 × 9 + 8 =
  22. 22.123 × 8 + 3 =
  23. 23.12345679 × 81 =
  24. 24.1234567 × 8 + 7 =
  25. 25.12345678 × 8 + 8 =
  26. 26.11111 × 11111 =
  27. 27.123 × 9 + 4 =
  28. 28.111 × 111 =
  29. 29.37 × 18 =
  30. 30.123456789 × 8 + 9 =
  31. 31.12345679 × 45 =
  32. 32.37 × 24 =
  33. 33.12 × 9 + 3 =
  34. 34.12 × 8 + 2 =
  35. 35.12345 × 9 + 6 =
  36. 36.12 × 9 + 3 =
  37. 37.37 × 9 =
  38. 38.12 × 9 + 3 =
  39. 39.12345679 × 18 =
  40. 40.12345679 × 54 =

Answer key

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

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