SSAT Middle Level Math : Numbers and Operations

Study concepts, example questions & explanations for SSAT Middle Level Math

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Example Questions

Example Question #21 :Ratio And Proportion

Phil invites sixty friends from his current school, thirty-five of whom are girls, to his birthday party; he also invites his two female cousins. Phil wants the ratio of girls to boys at the party to be two to one, so he decides to also invite some girls from his old school. How many new girls will he need to invite, assuming he does not invite anyone else?

Possible Answers:

Correct answer:

Explanation:

So far, there are 37 girls - 35 classmates and 2 cousins - and 26 boys - 25 classmates and Mike himself. For the ratio of girls to boys to be 2 to 1, the number of girls must be twice the number of boys, orgirls. Mike will needmore girls.

Example Question #1 :Ratios & Proportional Relationships

Write as a unit rate:revolutions inminutes

Possible Answers:

revolutions per minute

revolutions per minute

revolutions per minute

revolutions per minute

revolutions per minute

Correct answer:

revolutions per minute

Explanation:

Divide the number of revolutions by the number of minutes to get revolutions per minute:

,

makingrevolutions per minute the correct choice.

Example Question #22 :Ratio And Proportion

If candidate A receivesvote for everyvotes that candidate B receives. At the end of the election candidate B hasvotes. How many votes did candidate A get?

Possible Answers:

Correct answer:

Explanation:

In order to solve this problem we need to create a ratio with the given information. It says that for everyvote cast for candidate A, candidate B gotvotes. We can write the following ratio.

现在在给定的数字代替。

We know that candidate B receivedvotes. Write a new ratio.

Now, use the original relationship to create a proportion and solve for the number of votes that candidate A received.

Cross multiply and solve for.

Simplify.

Divide both sides of the equation by.

Solve.

Example Question #23 :Ratio And Proportion

If candidate A receivesvotes for everyvotes that candidate B receives. At the end of the election candidate B hasvotes. How many votes did candidate A get?

Possible Answers:

Correct answer:

Explanation:

In order to solve this problem we need to create a ratio with the given information. It says that for everyvotes cast for candidate A, candidate B gotvotes. We can write the following ratio.

现在在给定的数字代替。

We know that candidate B receivedvotes. Write a new ratio.

Now, use the original relationship to create a proportion and solve for the number of votes that candidate A received.

Cross multiply and solve for.

Simplify.

Divide both sides of the equation by.

Solve.

Example Question #24 :Ratio And Proportion

If candidate A receivesvote for everyvotes that candidate B receives. At the end of the election candidate B hasvotes. How many votes did candidate A get?

Possible Answers:

Correct answer:

Explanation:

In order to solve this problem we need to create a ratio with the given information. It says that for everyvote cast for candidate A, candidate B gotvotes. We can write the following ratio.

现在在给定的数字代替。

We know that candidate B receivedvotes. Write a new ratio.

Now, use the original relationship to create a proportion and solve for the number of votes that candidate A received.

Cross multiply and solve for.

Simplify.

Divide both sides of the equation by.

Solve.

Example Question #25 :Ratio And Proportion

If candidate A receivesvotes for everyvotes that candidate B receives. At the end of the election candidate B hasvotes. How many votes did candidate A get?

Possible Answers:

Correct answer:

Explanation:

In order to solve this problem we need to create a ratio with the given information. It says that for everyvotes cast for candidate A, candidate B gotvotes. We can write the following ratio.

现在在给定的数字代替。

We know that candidate B receivedvotes. Write a new ratio.

Now, use the original relationship to create a proportion and solve for the number of votes that candidate A received.

Cross multiply and solve for.

Simplify.

Divide both sides of the equation by.

Solve.

Example Question #26 :Ratio And Proportion

If candidate A receivesvotes for everyvotes that candidate B receives. At the end of the election candidate B hasvotes. How many votes did candidate A get?

Possible Answers:

Correct answer:

Explanation:

In order to solve this problem we need to create a ratio with the given information. It says that for everyvotes cast for candidate A, candidate B gotvotes. We can write the following ratio.

现在在给定的数字代替。

Reduce.

We know that candidate B receivedvotes. Write a new ratio.

Now, use the original relationship to create a proportion and solve for the number of votes that candidate A received.

Cross multiply and solve for.

Simplify.

Divide both sides of the equation by.

Solve.

Example Question #27 :Ratio And Proportion

If candidate A receivesvote for everyvotes that candidate B receives. At the end of the election candidate B hasvotes. How many votes did candidate A get?

Possible Answers:

Correct answer:

Explanation:

In order to solve this problem we need to create a ratio with the given information. It says that for everyvote cast for candidate A, candidate B gotvotes. We can write the following ratio.

现在在给定的数字代替。

We know that candidate B receivedvotes. Write a new ratio.

Now, use the original relationship to create a proportion and solve for the number of votes that candidate A received.

Cross multiply and solve for.

Simplify.

Divide both sides of the equation by.

Solve.

Example Question #28 :Ratio And Proportion

If candidate A receivesvotes for everyvotes that candidate B receives. At the end of the election candidate B hasvotes. How many votes did candidate A get?

Possible Answers:

Correct answer:

Explanation:

In order to solve this problem we need to create a ratio with the given information. It says that for everyvotes cast for candidate A, candidate B gotvotes. We can write the following ratio.

现在在给定的数字代替。

We know that candidate B receivedvotes. Write a new ratio.

Now, use the original relationship to create a proportion and solve for the number of votes that candidate A received.

Cross multiply and solve for.

Simplify.

Divide both sides of the equation by.

Solve.

Example Question #1 :Ratios & Proportional Relationships

If candidate A receivesvotes for everyvote that candidate B receives. At the end of the election candidate B hasvotes. How many votes did candidate A get?

Possible Answers:

Correct answer:

Explanation:

In order to solve this problem we need to create a ratio with the given information. It says that for everyvotes cast for candidate A, candidate B gotvote. We can write the following ratio.

现在在给定的数字代替。

We know that candidate B receivedvotes. Write a new ratio.

Now, use the original relationship to create a proportion and solve for the number of votes that candidate A received.

Cross multiply and solve for.

Simplify and solve.

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