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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 604 · 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. 2.12 × 8 + 2 =
  3. 3.123456 × 8 + 6 =
  4. 4.12345679 × 63 =
  5. 5.12345679 × 36 =
  6. 6.12345679 × 54 =
  7. 7.12345679 × 27 =
  8. 8.12345679 × 45 =
  9. 9.12345678 × 9 + 9 =
  10. 10.37 × 12 =
  11. 11.12345679 × 72 =
  12. 12.12345679 × 18 =
  13. 13.1234567 × 8 + 7 =
  14. 14.37 × 6 =
  15. 15.111 × 111 =
  16. 16.11 × 11 =
  17. 17.37 × 21 =
  18. 18.111111 × 111111 =
  19. 19.12345 × 8 + 5 =
  20. 20.12345678 × 8 + 8 =
  21. 21.123456 × 9 + 7 =
  22. 22.11111 × 11111 =
  23. 23.1111 × 1111 =
  24. 24.1234567 × 9 + 8 =
  25. 25.1234 × 9 + 5 =
  26. 26.123 × 9 + 4 =
  27. 27.123456789 × 8 + 9 =
  28. 28.37 × 24 =
  29. 29.37 × 9 =
  30. 30.12345679 × 9 =
  31. 31.12345679 × 81 =
  32. 32.37 × 3 =
  33. 33.12345679 × 45 =
  34. 34.37 × 15 =
  35. 35.12345 × 9 + 6 =
  36. 36.123 × 8 + 3 =
  37. 37.37 × 27 =
  38. 38.1234 × 8 + 4 =
  39. 39.123 × 8 + 3 =
  40. 40.12 × 9 + 3 =

Answer key

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

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