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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 606 · 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 × 15 =
  2. 2.123 × 8 + 3 =
  3. 3.12345678 × 9 + 9 =
  4. 4.123 × 9 + 4 =
  5. 5.37 × 21 =
  6. 6.111 × 111 =
  7. 7.111111 × 111111 =
  8. 8.12345679 × 81 =
  9. 9.12345679 × 9 =
  10. 10.11 × 11 =
  11. 11.12345679 × 27 =
  12. 12.37 × 6 =
  13. 13.1111 × 1111 =
  14. 14.123456 × 8 + 6 =
  15. 15.37 × 12 =
  16. 16.12345679 × 36 =
  17. 17.123456 × 9 + 7 =
  18. 18.1234 × 9 + 5 =
  19. 19.12345679 × 54 =
  20. 20.12345679 × 18 =
  21. 21.12345 × 9 + 6 =
  22. 22.12 × 9 + 3 =
  23. 23.12345679 × 63 =
  24. 24.1234 × 8 + 4 =
  25. 25.12345678 × 8 + 8 =
  26. 26.12345679 × 45 =
  27. 27.37 × 3 =
  28. 28.11111 × 11111 =
  29. 29.12345679 × 72 =
  30. 30.37 × 18 =
  31. 31.12345 × 8 + 5 =
  32. 32.123456789 × 8 + 9 =
  33. 33.37 × 9 =
  34. 34.37 × 27 =
  35. 35.1234567 × 9 + 8 =
  36. 36.1234567 × 8 + 7 =
  37. 37.37 × 9 =
  38. 38.111111 × 111111 =
  39. 39.37 × 24 =
  40. 40.1234 × 8 + 4 =

Answer key

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

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