Fraction of a Set
Help Questions
ISEE Lower Level: Mathematics Achievement › Fraction of a Set
A teacher has 24 pencils. She gives 8 pencils to the class. Which fraction of the set is 8?
$1/5$
$1/3$
$1/4$
$1/2$
Explanation
This question tests ISEE Lower Level students on finding a fraction of a set or group. The concept involves understanding fractions as parts of a set and applying simple division to find the part. In this scenario, 8 pencils out of 24 total are given away, and we need to identify what fraction 8 represents. The correct choice is B because 8 is 1/3 of 24 (since 24 ÷ 3 = 8, or 8 × 3 = 24). Choice A (1/2) would be 12 pencils, while choice C (1/4) would be 6 pencils. To help students: Emphasize checking fractions by multiplying - if 8 is 1/3 of the total, then 8 × 3 should equal 24. Practice identifying fractions from given parts and wholes to strengthen understanding of the relationship.
There are 16 party favors for 4 friends. Each friend gets the same. What fraction is each share?
$1/5$
$1/3$
$1/4$
$1/2$
Explanation
This question tests ISEE Lower Level students on finding a fraction of a set or group. The concept involves understanding fractions as parts of a set and applying simple division to find the part. In this scenario, 16 party favors are shared equally among 4 friends, so each gets 16 ÷ 4 = 4 favors. The correct choice is B because each friend's share of 4 favors represents 4/16 = 1/4 of the total. Choice A (1/2) would mean each friend gets 8 favors, while choice C (1/3) would work if there were only 3 friends. To help students: Connect division problems to fractions by showing that equal sharing creates fractional parts. Practice converting between "each person gets X items" and "each person gets 1/Y of the total."
There are 16 party favors and 4 friends. What fraction does each friend get?
$1/2$
$1/3$
$1/5$
$1/4$
Explanation
This question tests ISEE Lower Level students on finding a fraction of a set or group. The concept involves understanding fractions as parts of a set and applying simple division to find the part. In this scenario, we need to determine what fraction each friend gets when 16 party favors are shared equally among 4 friends. The correct choice is C because each friend gets 16 ÷ 4 = 4 favors, which is 4/16 = 1/4 of the total. Choice A (1/2) would mean each friend gets 8 favors, while choice B (1/3) would require 3 friends. To help students: Emphasize that equal sharing creates fractions, where the number of people becomes the denominator. Practice problems where students identify both the number of items per person and the fraction of the whole.
A teacher has 24 pencils. $1/3$ go to the class. What is $1/3$ of 24?
3
8
12
21
Explanation
This question tests ISEE Lower Level students on finding a fraction of a set or group. The concept involves understanding fractions as parts of a set and applying simple division to find the part. In the given scenario, we need to calculate 1/3 of 24 pencils, which means dividing 24 by 3. The correct choice is B because 24 ÷ 3 = 8, so 1/3 of 24 equals 8. Choice A (3) might come from using the denominator as the answer, while choice C (12) would be 1/2 of 24. To help students: Emphasize the division process - divide the total by the denominator to find the fraction's value. Practice with different numbers and encourage students to verify by multiplying their answer by the denominator to get back to the original number.
A teacher has 24 pencils. She gives $1/3$ to the class. How many pencils is that?
7 pencils
12 pencils
6 pencils
8 pencils
Explanation
This question tests ISEE Lower Level students on finding a fraction of a set or group. The concept involves understanding fractions as parts of a set and applying simple division to find the part. In the given scenario, we need to calculate 1/3 of 24 pencils by dividing 24 by 3. The correct choice is C because 24 ÷ 3 = 8, so the teacher gives 8 pencils to the class. Choice A (6 pencils) would be 1/4 of 24, while choice D (12 pencils) would be 1/2 of 24. To help students: Reinforce that the denominator tells us how many equal groups to make. Use manipulatives like counters to physically divide sets into equal groups and see the fraction in action.
A basket has 12 apples. $1/4$ are taken out. How many apples are removed?
3 apples
6 apples
4 apples
2 apples
Explanation
This question tests ISEE Lower Level students on finding a fraction of a set or group. The concept involves understanding fractions as parts of a set and applying simple division to find the part. In the given scenario, we need to calculate 1/4 of 12 apples, which means dividing 12 by 4. The correct choice is B because 12 ÷ 4 = 3, so 3 apples are removed from the basket. Choice A (2 apples) might result from incorrect division, while choices C and D represent other fractions of 12. To help students: Emphasize that finding a fraction of a number means dividing by the denominator. Practice with visual models like drawing circles to represent apples and grouping them into fourths.
A pet store has 20 fish. $1/5$ are sold today. How many fish are sold?
5 fish
4 fish
15 fish
10 fish
Explanation
This question tests ISEE Lower Level students on finding a fraction of a set or group. The concept involves understanding fractions as parts of a set and applying simple division to find the part. In the given scenario, we need to calculate 1/5 of 20 fish, which requires dividing 20 by 5. The correct choice is A because 20 ÷ 5 = 4, so 4 fish are sold. Choice B (5 fish) might come from confusing the denominator with the answer, while choice C (10 fish) would be 1/2 of 20. To help students: Stress that we divide the total by the bottom number (denominator) of the fraction. Practice with real-world examples and encourage students to check their work by multiplying their answer by the denominator.