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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 570 · 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. 2.12345678 × 8 + 8 =
  3. 3.12345679 × 9 =
  4. 4.111111 × 111111 =
  5. 5.12345679 × 45 =
  6. 6.12 × 8 + 2 =
  7. 7.12345679 × 54 =
  8. 8.123 × 9 + 4 =
  9. 9.123456 × 9 + 7 =
  10. 10.1234 × 8 + 4 =
  11. 11.11111 × 11111 =
  12. 12.123456789 × 8 + 9 =
  13. 13.1234567 × 8 + 7 =
  14. 14.12345679 × 36 =
  15. 15.123 × 8 + 3 =
  16. 16.1234567 × 9 + 8 =
  17. 17.11 × 11 =
  18. 18.37 × 12 =
  19. 19.12345679 × 72 =
  20. 20.12345679 × 27 =
  21. 21.12345679 × 63 =
  22. 22.37 × 9 =
  23. 23.12345678 × 9 + 9 =
  24. 24.37 × 3 =
  25. 25.123456 × 8 + 6 =
  26. 26.1111 × 1111 =
  27. 27.12345679 × 18 =
  28. 28.12345 × 9 + 6 =
  29. 29.37 × 15 =
  30. 30.37 × 21 =
  31. 31.12 × 9 + 3 =
  32. 32.37 × 18 =
  33. 33.37 × 27 =
  34. 34.37 × 6 =
  35. 35.12345 × 9 + 6 =
  36. 36.111 × 111 =
  37. 37.1234 × 9 + 5 =
  38. 38.12345679 × 81 =
  39. 39.12 × 8 + 2 =
  40. 40.37 × 21 =

Answer key

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

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