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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 8 · 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. 1.12345678 × 9 + 9 =
  2. 2.12345679 × 45 =
  3. 3.123 × 8 + 3 =
  4. 4.12345679 × 27 =
  5. 5.111111 × 111111 =
  6. 6.37 × 24 =
  7. 7.12345679 × 18 =
  8. 8.12345679 × 63 =
  9. 9.12345679 × 9 =
  10. 10.1234567 × 9 + 8 =
  11. 11.37 × 6 =
  12. 12.123456 × 8 + 6 =
  13. 13.12345679 × 54 =
  14. 14.123456 × 9 + 7 =
  15. 15.12 × 8 + 2 =
  16. 16.1111 × 1111 =
  17. 17.11 × 11 =
  18. 18.111 × 111 =
  19. 19.12345679 × 72 =
  20. 20.123 × 9 + 4 =
  21. 21.12 × 9 + 3 =
  22. 22.1234 × 9 + 5 =
  23. 23.12345678 × 8 + 8 =
  24. 24.37 × 21 =
  25. 25.11111 × 11111 =
  26. 26.1234567 × 8 + 7 =
  27. 27.37 × 12 =
  28. 28.37 × 27 =
  29. 29.37 × 3 =
  30. 30.12345679 × 36 =
  31. 31.12345 × 9 + 6 =
  32. 32.37 × 9 =
  33. 33.12345 × 8 + 5 =
  34. 34.123456 × 8 + 6 =
  35. 35.123456789 × 8 + 9 =
  36. 36.12 × 9 + 3 =
  37. 37.11111 × 11111 =
  38. 38.12345679 × 81 =
  39. 39.37 × 18 =
  40. 40.37 × 15 =

Answer key

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

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