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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 293 · 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. 1.123456 × 9 + 7 =
  2. 2.12345679 × 54 =
  3. 3.37 × 21 =
  4. 4.37 × 12 =
  5. 5.12345 × 9 + 6 =
  6. 6.12345678 × 9 + 9 =
  7. 7.111111 × 111111 =
  8. 8.123 × 8 + 3 =
  9. 9.12345 × 8 + 5 =
  10. 10.1234567 × 8 + 7 =
  11. 11.37 × 9 =
  12. 12.111 × 111 =
  13. 13.1234 × 9 + 5 =
  14. 14.37 × 24 =
  15. 15.37 × 18 =
  16. 16.12 × 9 + 3 =
  17. 17.11111 × 11111 =
  18. 18.1234567 × 9 + 8 =
  19. 19.1111 × 1111 =
  20. 20.12345678 × 8 + 8 =
  21. 21.1234 × 8 + 4 =
  22. 22.12345679 × 27 =
  23. 23.12345679 × 18 =
  24. 24.123456 × 8 + 6 =
  25. 25.12345679 × 9 =
  26. 26.37 × 6 =
  27. 27.37 × 3 =
  28. 28.12345679 × 72 =
  29. 29.12345679 × 81 =
  30. 30.1111 × 1111 =
  31. 31.37 × 27 =
  32. 32.123 × 9 + 4 =
  33. 33.12345679 × 45 =
  34. 34.11 × 11 =
  35. 35.123456789 × 8 + 9 =
  36. 36.12345679 × 63 =
  37. 37.37 × 15 =
  38. 38.12345679 × 18 =
  39. 39.12345679 × 36 =
  40. 40.12 × 8 + 2 =

Answer key

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

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