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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 412 · 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 × 12 =
  2. 2.12345679 × 81 =
  3. 3.123456 × 8 + 6 =
  4. 4.12 × 9 + 3 =
  5. 5.12 × 8 + 2 =
  6. 6.1234 × 9 + 5 =
  7. 7.12345679 × 45 =
  8. 8.12345679 × 9 =
  9. 9.12345679 × 54 =
  10. 10.37 × 18 =
  11. 11.11111 × 11111 =
  12. 12.12345 × 9 + 6 =
  13. 13.12345679 × 18 =
  14. 14.1234 × 8 + 4 =
  15. 15.11 × 11 =
  16. 16.123456789 × 8 + 9 =
  17. 17.37 × 24 =
  18. 18.1234567 × 9 + 8 =
  19. 19.111 × 111 =
  20. 20.37 × 21 =
  21. 21.12345679 × 27 =
  22. 22.123 × 8 + 3 =
  23. 23.12345678 × 9 + 9 =
  24. 24.12345 × 8 + 5 =
  25. 25.37 × 6 =
  26. 26.12345678 × 8 + 8 =
  27. 27.111111 × 111111 =
  28. 28.1111 × 1111 =
  29. 29.123456 × 9 + 7 =
  30. 30.37 × 15 =
  31. 31.12345679 × 72 =
  32. 32.37 × 27 =
  33. 33.37 × 9 =
  34. 34.12345679 × 63 =
  35. 35.123 × 9 + 4 =
  36. 36.12 × 9 + 3 =
  37. 37.12345679 × 36 =
  38. 38.1234567 × 8 + 7 =
  39. 39.37 × 3 =
  40. 40.12 × 8 + 2 =

Answer key

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

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