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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 392 · 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. 1.37 × 18 =
  2. 2.12345679 × 27 =
  3. 3.1234567 × 8 + 7 =
  4. 4.12345679 × 9 =
  5. 5.1234 × 8 + 4 =
  6. 6.123 × 9 + 4 =
  7. 7.12345679 × 36 =
  8. 8.111 × 111 =
  9. 9.12345678 × 8 + 8 =
  10. 10.123 × 8 + 3 =
  11. 11.12 × 8 + 2 =
  12. 12.37 × 27 =
  13. 13.12345 × 9 + 6 =
  14. 14.1234 × 9 + 5 =
  15. 15.123456 × 9 + 7 =
  16. 16.12 × 9 + 3 =
  17. 17.123456 × 8 + 6 =
  18. 18.1111 × 1111 =
  19. 19.37 × 9 =
  20. 20.12345679 × 81 =
  21. 21.12345679 × 72 =
  22. 22.123456789 × 8 + 9 =
  23. 23.1234567 × 9 + 8 =
  24. 24.12345679 × 18 =
  25. 25.12345679 × 45 =
  26. 26.12345679 × 63 =
  27. 27.11 × 11 =
  28. 28.37 × 3 =
  29. 29.12345679 × 54 =
  30. 30.37 × 15 =
  31. 31.12345 × 8 + 5 =
  32. 32.11111 × 11111 =
  33. 33.37 × 24 =
  34. 34.37 × 6 =
  35. 35.12 × 9 + 3 =
  36. 36.1234 × 9 + 5 =
  37. 37.111111 × 111111 =
  38. 38.37 × 21 =
  39. 39.37 × 12 =
  40. 40.11 × 11 =

Answer key

  1. 666
  2. 333333333
  3. 9876543
  4. 111111111
  5. 9876
  6. 1111
  7. 444444444
  8. 12321
  9. 98765432
  10. 987
  11. 98
  12. 999
  13. 111111
  14. 11111
  15. 1111111
  16. 111
  17. 987654
  18. 1234321
  19. 333
  20. 999999999
  21. 888888888
  22. 987654321
  23. 11111111
  24. 222222222
  25. 555555555
  26. 777777777
  27. 121
  28. 111
  29. 666666666
  30. 555
  31. 98765
  32. 123454321
  33. 888
  34. 222
  35. 111
  36. 11111
  37. 12345654321
  38. 777
  39. 444
  40. 121

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