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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 80 · 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 × 9 + 3 =
  2. 2.12345679 × 9 =
  3. 3.37 × 15 =
  4. 4.11 × 11 =
  5. 5.1111 × 1111 =
  6. 6.12345679 × 54 =
  7. 7.11111 × 11111 =
  8. 8.111 × 111 =
  9. 9.37 × 21 =
  10. 10.37 × 3 =
  11. 11.123456 × 8 + 6 =
  12. 12.12345679 × 81 =
  13. 13.12345678 × 8 + 8 =
  14. 14.12345679 × 36 =
  15. 15.12 × 8 + 2 =
  16. 16.123 × 9 + 4 =
  17. 17.37 × 6 =
  18. 18.12345 × 8 + 5 =
  19. 19.37 × 27 =
  20. 20.12345679 × 27 =
  21. 21.12345679 × 72 =
  22. 22.111111 × 111111 =
  23. 23.37 × 24 =
  24. 24.123 × 8 + 3 =
  25. 25.123456 × 9 + 7 =
  26. 26.1234 × 9 + 5 =
  27. 27.12345678 × 9 + 9 =
  28. 28.1234567 × 9 + 8 =
  29. 29.12345679 × 45 =
  30. 30.12345679 × 18 =
  31. 31.1234 × 8 + 4 =
  32. 32.37 × 18 =
  33. 33.1234567 × 8 + 7 =
  34. 34.37 × 12 =
  35. 35.1111 × 1111 =
  36. 36.37 × 9 =
  37. 37.12345 × 9 + 6 =
  38. 38.12345679 × 36 =
  39. 39.1234 × 8 + 4 =
  40. 40.123 × 8 + 3 =

Answer key

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

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