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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 120 · 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. 1.123 × 9 + 4 =
  2. 2.123 × 8 + 3 =
  3. 3.11 × 11 =
  4. 4.37 × 9 =
  5. 5.111111 × 111111 =
  6. 6.37 × 27 =
  7. 7.12345679 × 81 =
  8. 8.1234 × 9 + 5 =
  9. 9.12345679 × 63 =
  10. 10.37 × 6 =
  11. 11.1234 × 8 + 4 =
  12. 12.12345679 × 9 =
  13. 13.37 × 12 =
  14. 14.123456789 × 8 + 9 =
  15. 15.12 × 9 + 3 =
  16. 16.111 × 111 =
  17. 17.123456 × 9 + 7 =
  18. 18.37 × 18 =
  19. 19.12345678 × 8 + 8 =
  20. 20.1111 × 1111 =
  21. 21.12345 × 9 + 6 =
  22. 22.12345679 × 27 =
  23. 23.1234567 × 9 + 8 =
  24. 24.37 × 3 =
  25. 25.12345679 × 45 =
  26. 26.11111 × 11111 =
  27. 27.12345 × 8 + 5 =
  28. 28.1234567 × 8 + 7 =
  29. 29.12345679 × 36 =
  30. 30.12 × 8 + 2 =
  31. 31.12345679 × 72 =
  32. 32.12345678 × 9 + 9 =
  33. 33.12345679 × 18 =
  34. 34.37 × 15 =
  35. 35.123456 × 8 + 6 =
  36. 36.123456 × 9 + 7 =
  37. 37.11111 × 11111 =
  38. 38.37 × 21 =
  39. 39.12345679 × 54 =
  40. 40.123 × 9 + 4 =

Answer key

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

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