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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 283 · 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. 1.123456789 × 8 + 9 =
  2. 2.37 × 12 =
  3. 3.12345679 × 63 =
  4. 4.1234567 × 9 + 8 =
  5. 5.123456 × 9 + 7 =
  6. 6.12345678 × 8 + 8 =
  7. 7.12345679 × 18 =
  8. 8.123456 × 8 + 6 =
  9. 9.37 × 15 =
  10. 10.1234 × 8 + 4 =
  11. 11.11111 × 11111 =
  12. 12.1234 × 9 + 5 =
  13. 13.123 × 9 + 4 =
  14. 14.37 × 21 =
  15. 15.12 × 9 + 3 =
  16. 16.12345 × 9 + 6 =
  17. 17.1234567 × 8 + 7 =
  18. 18.12345 × 8 + 5 =
  19. 19.12345679 × 27 =
  20. 20.123 × 8 + 3 =
  21. 21.12345679 × 54 =
  22. 22.111 × 111 =
  23. 23.11 × 11 =
  24. 24.37 × 18 =
  25. 25.1111 × 1111 =
  26. 26.12345679 × 81 =
  27. 27.111111 × 111111 =
  28. 28.12 × 8 + 2 =
  29. 29.12345679 × 9 =
  30. 30.12345679 × 72 =
  31. 31.12345 × 8 + 5 =
  32. 32.1234 × 8 + 4 =
  33. 33.37 × 3 =
  34. 34.12345678 × 9 + 9 =
  35. 35.37 × 6 =
  36. 36.37 × 9 =
  37. 37.12345679 × 36 =
  38. 38.12345679 × 45 =
  39. 39.37 × 27 =
  40. 40.123 × 8 + 3 =

Answer key

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

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