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ISEE Lower Level Math : How to find a proportion

Study concepts, example questions & explanations for ISEE Lower Level Math

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Example Questions

Example Question #33 : Ratio And Proportion

A cookie recipe that bakes 12 cookies calls for 3 eggs. How many eggs would be needed to make 36 cookies?

Possible Answers:

$\dpi{100} 9$

$\dpi{100} 8$

$\dpi{100} 7$

$\dpi{100} 10$

Correct answer:

$\dpi{100} 9$

Explanation:

36 cookies is 3 times more than 12. Multiply the number of eggs by 3 to get 9.

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Example Question #1 : How To Find A Proportion

Give the value of that makes this proportion statement correct:

$\frac{49}{N} = \frac{14}{24}$

Possible Answers:

N= 80

N= 72

N= 77

N= 91

N= 84

Correct answer:

N= 84

Explanation:

Cross-multiply, then solve for :

$\frac{49}{N} = \frac{14}{24}$

$14 N = 49 \cdot 24$

$14 N \div 14= 49 \cdot 24\div 14$

N= 84

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Example Question #2 : How To Find A Proportion

Give the value of that makes this proportion statement correct:

$\frac{N}{60} = \frac{14}{24}$

Possible Answers:

N = 40

N = 45

N = 35

N = 32

N = 42

Correct answer:

N = 35

Explanation:

Solve for by multiplying both sides by 60:

$\frac{N}{60} = \frac{14}{24}$

$\frac{N}{60} \cdot 60= \frac{14}{24}\cdot 60$

$N = \frac{14}{24}\cdot \frac{60}{1} = \frac{840}{24} = 35$

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Example Question #35 : Ratio And Proportion

If 1 inch on a map represents 5 miles, how far apart, in miles, are two cities that are 6.6 inches apart on the map?

Possible Answers:

24 miles

36 miles

33 miles

12 miles

6.6 miles

Correct answer:

33 miles

Explanation:

Set up a proportion with the inches on the map and physical miles:

$\frac{1}{5}=\frac{6.6}{x}$

Solve for x:

1*x=5*6.6

x = 33

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Example Question #2 : How To Find A Proportion

A group of 6th grade students at Manor Intermediate are going on a field trip to the local theme park.

There are 2 chaperones required for every 9 students on the field trip. How many chaperones will need to attend the field trip if there are 27 students going?

Possible Answers:

chaperones

None of the other answers

Correct answer:

chaperones

Explanation:

The best way to solve this problem is to set it up as two ratios that are equivalent to each other. This forms a proportion. Make sure to set up the ratios so that the relationships go together across the equal sign.

$\frac{2}{9}= \frac{\square }{27}$

Use cross products to then solve for the missing value.

$2\times 27= 54$

Therefore, mental math or division can be used to find

$9\times \square = 54$ .

Since $9\times 6= 54$ ,

there would need to be 6 chaperones attending the field trip.

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Example Question #3 : How To Find A Proportion

A bag of marbles contains 4 green marbles, 7 black marbles, and 5 red marbles. What is the proportion of green marbles?

Possible Answers:

1/3

4/15

1/4

5/16

Correct answer:

1/4

Explanation:

First, sum the total number of marbles:

4+7+5=16

Next, divide the total number of green marbles by the total number of marbles and simplify:

$\frac{4}{16}=\frac{1}{4}$

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Example Question #4 : How To Find A Proportion

A bag has 11 green chips, 7 blue chips, and 6 red chips. What is the proportion of green chips?

Possible Answers:

24/11

11/13

13/11

11/24

Correct answer:

11/24

Explanation:

The proportion is determined by dividing the number of selected items by the total number of items.

$P=\frac{green}{total}=\frac{11}{11+7+6}=\frac{11}{24}$

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Example Question #5 : How To Find A Proportion

A drawer contains 5 pairs of blue socks, 2 pairs of white socks, 4 pairs of brown socks, and 7 pairs of black socks. What is the proportion of brown socks?

Possible Answers:

$\frac{5}{18}$

$\frac{2}{9}$

$\frac{7}{18}$

$\frac{2}{7}$

Correct answer:

$\frac{2}{9}$

Explanation:

A proportion is determined by dividing the number of a specific event by the total number of events:

$P=\frac{4}{5+2+4+7}=\frac{4}{18}=\frac{2}{9}$

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Example Question #6 : How To Find A Proportion

If Eric can read a page from his text book in minutes, how many pages can he read in 15 minutes?

Possible Answers:

15+p

p-15

$\frac{p}{15}$

$\frac{15}{p}$

15*p

Correct answer:

$\frac{15}{p}$

Explanation:

The problem can be represented by the proportion $\frac{1}{p}=\frac{x}{15}$ .

Solve: $x=\frac{15}{p}$

Eric can read $\frac{15}{p}$ pages in 15 minutes.

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Example Question #7 : How To Find A Proportion

If Kristin makes $300 in a week when she works 15 hours, how much would she make if she worked 24 hours next week at the same rate?

Possible Answers:

$\$375$

$\$187$

$\$480$

$\$420$

$\$250$

Correct answer:

$\$480$

Explanation:

To find the rate at which she is currently paid, divide $300 by the hours she works, 15, to see that she earns $20 per hour. To find her earnings for next week, multiply 24 hours by $20 per hour to see that she will make $480 next week.

Or set up the proportion $\frac{300}{15}=\frac{x}{24}$ and solve for .

$\frac{24*300}{15}=x$

x=480

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ISEE Lower Level Math : How to find a proportion

Study concepts, example questions & explanations for ISEE Lower Level Math

All ISEE Lower Level Math Resources

Example Questions

Example Question #33 : Ratio And Proportion

Example Question #1 : How To Find A Proportion

Example Question #2 : How To Find A Proportion

Example Question #35 : Ratio And Proportion

Example Question #2 : How To Find A Proportion

Example Question #3 : How To Find A Proportion

Example Question #4 : How To Find A Proportion

Example Question #5 : How To Find A Proportion

Example Question #6 : How To Find A Proportion

Example Question #7 : How To Find A Proportion

All ISEE Lower Level Math Resources

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