Do you qualify for American Mensa membership?

About 2,500 members of American Mensa, a high IQ organization, will congregate in Boston during the Independence Day holiday weekend. American Mensa is open to anyone who scores in the top 2 percent of a standardized intelligence test.

Tests will be open to the public during the American Mensa Annual Gathering. Take these sample questions to see if you make the Mensa cut.

Related: At Mensa gathering, smart is the rule | Photos: 'Mr. Mensa' pageant

  • What is the 4-digit number in which the first digit is one-fifth the last, and the second and third digits are the last digit multiplied by 3? (Hint: The sum of all digits is 12.)

  • Jane went to visit Jill. Jill is Jane’s only husband’s mother-in-law’s only husband’s only daughter’s only daughter. What relation is Jill to Jane?

    Answer: c. Jane’s mother’s husband is Jane’s father, his daughter is Jane, and Jill is her daughter.
  • Which of the words below is least like the others? The difference has nothing to do with vowels, consonants or syllables.

    Answer: d. The others can be anagrammed into the names of cities: Rome, Paris, Chester.
  • Tabitha likes cookies but not cake. She likes mutton but not lamb, and she likes okra but not squash. Following the same rule, will she like cherries or pears?

    Answer: a. Tabitha only likes food with two syllables.
  • What is the number that is one more than one-tenth of one-fifth of one-half of 4,000?

    Answer: b. 4000 / 2 =2000, / 5 =400, / 10 = 40, + 1= 41
  • In a foot race, Jerry was neither first nor last. Janet beat Jerry, Jerry beat Pat. Charlie was neither first nor last. Charlie beat Rachel. Pat beat Charlie. Who came in last??

  • Find the number that best completes the following sequence.

    1 2 4 7 11 ? 22

    Answer: c. Each number adds 1, 2, 3, 4, 5 and 6, respectively, to the proceeding number.
  • Marian bought 4 oranges and 3 lemons for 90 cents. The next day she bought 3 oranges and 4 lemons for 85 cents. How much did each lemon and orange cost?

  • Start with the number of total mittens the numbered kittens lost, and multiply by the voting age in the U.S. What’s the answer?

    Answer: d. 3 kittens @ 4 mittens each = 12 x 18. Kittens have 4 paws.
  • There is at least one nine-letter word that contains only one vowel. Do you know what it is?

Dr. Abbie F. Salny/American Mensa

Correction: An earlier version of this quiz had the incorrect answer for question No. 9.