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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 182 · 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. 1.123 × 9 + 4 =
  2. 2.111111 × 111111 =
  3. 3.1111 × 1111 =
  4. 4.37 × 9 =
  5. 5.37 × 6 =
  6. 6.1234567 × 8 + 7 =
  7. 7.123 × 8 + 3 =
  8. 8.12345679 × 36 =
  9. 9.12345679 × 45 =
  10. 10.111 × 111 =
  11. 11.123456 × 8 + 6 =
  12. 12.37 × 24 =
  13. 13.37 × 15 =
  14. 14.11111 × 11111 =
  15. 15.37 × 27 =
  16. 16.123456 × 9 + 7 =
  17. 17.12345678 × 9 + 9 =
  18. 18.123456789 × 8 + 9 =
  19. 19.12345679 × 81 =
  20. 20.12 × 8 + 2 =
  21. 21.12 × 9 + 3 =
  22. 22.12345 × 9 + 6 =
  23. 23.37 × 21 =
  24. 24.12345679 × 72 =
  25. 25.37 × 18 =
  26. 26.1234 × 8 + 4 =
  27. 27.12345679 × 9 =
  28. 28.1234 × 9 + 5 =
  29. 29.12345 × 8 + 5 =
  30. 30.11 × 11 =
  31. 31.12345679 × 54 =
  32. 32.12345679 × 18 =
  33. 33.12345679 × 9 =
  34. 34.1234567 × 9 + 8 =
  35. 35.12345679 × 63 =
  36. 36.37 × 3 =
  37. 37.12345679 × 27 =
  38. 38.37 × 27 =
  39. 39.37 × 9 =
  40. 40.37 × 21 =

Answer key

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

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