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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 754 · 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. 1.12 × 8 + 2 =
  2. 2.12345679 × 63 =
  3. 3.123 × 8 + 3 =
  4. 4.37 × 6 =
  5. 5.37 × 24 =
  6. 6.1234 × 9 + 5 =
  7. 7.12345679 × 81 =
  8. 8.123456 × 9 + 7 =
  9. 9.12345679 × 54 =
  10. 10.12345679 × 45 =
  11. 11.123 × 9 + 4 =
  12. 12.37 × 3 =
  13. 13.1111 × 1111 =
  14. 14.1234567 × 9 + 8 =
  15. 15.11111 × 11111 =
  16. 16.37 × 15 =
  17. 17.12 × 9 + 3 =
  18. 18.37 × 21 =
  19. 19.37 × 12 =
  20. 20.11 × 11 =
  21. 21.111 × 111 =
  22. 22.12345 × 8 + 5 =
  23. 23.111111 × 111111 =
  24. 24.12345 × 9 + 6 =
  25. 25.12345679 × 18 =
  26. 26.12345678 × 8 + 8 =
  27. 27.12345679 × 27 =
  28. 28.37 × 27 =
  29. 29.123456789 × 8 + 9 =
  30. 30.123456 × 8 + 6 =
  31. 31.12345679 × 9 =
  32. 32.12345679 × 72 =
  33. 33.1234567 × 8 + 7 =
  34. 34.12345679 × 18 =
  35. 35.12 × 8 + 2 =
  36. 36.37 × 9 =
  37. 37.37 × 12 =
  38. 38.1234 × 8 + 4 =
  39. 39.12345679 × 27 =
  40. 40.12345679 × 36 =

Answer key

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

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