SSAT Upper Level Math : SSAT Upper Level Quantitative (Math)

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

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Example Questions

Example Question #1121 : Ssat Upper Level Quantitative (Math)

Evan wants to tip approximately  on a  restaurant tab. Which of the following comes closest to what he should leave?

Possible Answers:

Correct answer:

Explanation:

The tab can be rounded to is equal to .

Now we can multiply the percent by the total amount.

 is the most reasonable estimate of the recommended tip.

Example Question #2 : How To Estimate

If the number  is rounded to the nearest hundredth, which of the following expressions would be equal to that value?

Possible Answers:

Correct answer:

Explanation:

If  is rounded to the nearest hundredth, the result will be 

Given that , the correct answer is 

Example Question #1 : Estimation

Estimate the product  by rounding each factor to the nearest hundred, then multiplying.

Possible Answers:

Correct answer:

Explanation:

437 rounded to the nearest hundred is 400.

877 rounded to the nearest hundred is 900.

551 rounded to the nearest hundred is 600.

Multiply the three whole multiples of 100 to get the desired estimate:

 

Example Question #2 : How To Estimate

Estimate the product  by rounding each factor to the nearest unit, then multiplying.

Possible Answers:

Correct answer:

Explanation:

, so   rounded to the nearest unit is 5.

, so   rounded to the nearest unit is 10.

, so   rounded to the nearest unit is 5.

Multiply the three whole numbers to get the desired estimate:

Example Question #1122 : Ssat Upper Level Quantitative (Math)

Estimate the result  by first rounding each number to the nearest unit.

Possible Answers:

Correct answer:

Explanation:

8.19 rounded to the nearest unit is 8.

4.87 rounded to the nearest unit is 5

3.27 rounded to the nearest unit is 3.

7.42 rounded to the nearest unit is 7.

The desired estimate can be found as follows:

Example Question #4 : How To Estimate

Estimate the result  by first rounding each number to the nearest unit.

Possible Answers:

Correct answer:

Explanation:

, so  rounded to the nearest unit is 8.

, so  rounded to the nearest unit is 10.

, so  rounded to the nearest unit is 4.

, so  rounded to the nearest unit is 6.

The desired estimate can be found as follows:

Example Question #1123 : Ssat Upper Level Quantitative (Math)

Melissa is trying to come up with a reasonable estimate of the amount she spent on groceries over the last six months. She notices that the six checks she wrote out to the local grocery store are in the following amounts: $187.54, $218.89, $174.74, $104.76, $189.75, and $228.64. By estimating each of the amounts of the checks to the nearest ten dollars, come up with a reasonable estimate for Melissa's total expenditure for groceries.

Possible Answers:

Correct answer:

Explanation:

Round each of the amounts to the nearest ten dollars as follows:

$187.54 rounds to $190.

$218.89 rounds to $220.

$174.74 rounds to $170.

$104.76 rounds to $100.

$189.75 rounds to $190.

$228.64 rounds to $230.

Add the rounded figures:

Example Question #1124 : Ssat Upper Level Quantitative (Math)

Estimate the product  by rounding each factor to the nearest unit, then multiplying.

Possible Answers:

Correct answer:

Explanation:

8.39 rounded to the nearest unit is 8 because 0.39 is less than 0.5.

7.34 rounded to the nearest unit is 7 because 0.34 is less than 0.5.

3.52 rounded to the nearest unit is 4 because 0.52 is greater than 0.5.

Multiply the three whole numbers to get the desired estimate:

Example Question #1 : Proportion / Ratio / Rate

A barn has  geese,  ducks, and  chickens. What is the ratio of geese to chickens?

Possible Answers:

Correct answer:

Explanation:

First, add up the total number of ducks, geese, and chickens.

Now, write the fraction of these animals that are geese and the fraction of these animals that are chickens.

Now, since we want the ratio of geese to chickens, we write the fractions as thus:

Divide and simplify the resulting fraction to find the ratio.

Example Question #1 : Proportion / Ratio / Rate

If  pounds of chicken cost , how much does  pounds of chicken cost?

Possible Answers:

Correct answer:

Explanation:

There is more than one way to solve this problem. You can either figure out how much the chicken costs per pound and multiply that cost by three pounds, or you can set up a proportion and solve for the cost of three pounds of chicken that way.

1) Solving the Problem Using Cost per Pound

First, find how much the chicken costs per pound.

Since chicken costs  per pound, multiply this by the number of pounds we need to get the cost.

 pounds of chicken cost .

2) Solving the Problem Using a Proportion

You can set up a proportion to figure out how much  pounds of chicken costs:

Cross multiply:

Solve for , the cost of  pounds of chicken:

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