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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 134 · 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. 1.12345 × 8 + 5 =
  2. 2.1234567 × 8 + 7 =
  3. 3.123456 × 9 + 7 =
  4. 4.12345679 × 81 =
  5. 5.123 × 8 + 3 =
  6. 6.12 × 8 + 2 =
  7. 7.37 × 9 =
  8. 8.37 × 18 =
  9. 9.12345679 × 27 =
  10. 10.37 × 12 =
  11. 11.12345679 × 36 =
  12. 12.1234567 × 9 + 8 =
  13. 13.12345679 × 9 =
  14. 14.37 × 24 =
  15. 15.111111 × 111111 =
  16. 16.1111 × 1111 =
  17. 17.11111 × 11111 =
  18. 18.123456789 × 8 + 9 =
  19. 19.12345679 × 18 =
  20. 20.11 × 11 =
  21. 21.37 × 6 =
  22. 22.1234 × 9 + 5 =
  23. 23.12345678 × 8 + 8 =
  24. 24.37 × 3 =
  25. 25.12345679 × 54 =
  26. 26.123 × 9 + 4 =
  27. 27.12 × 9 + 3 =
  28. 28.111 × 111 =
  29. 29.12345678 × 9 + 9 =
  30. 30.11111 × 11111 =
  31. 31.37 × 21 =
  32. 32.37 × 15 =
  33. 33.12345 × 9 + 6 =
  34. 34.12345679 × 63 =
  35. 35.37 × 27 =
  36. 36.1234 × 9 + 5 =
  37. 37.123456 × 9 + 7 =
  38. 38.1234 × 8 + 4 =
  39. 39.12345679 × 18 =
  40. 40.1234567 × 9 + 8 =

Answer key

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

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