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SSAT Upper Level Math : How to estimate

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

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Example Questions

Example Question #1 : How To Estimate

Evan wants to tip approximately on a $\$78.45$ restaurant tab. Which of the following comes closest to what he should leave?

Possible Answers:

$\$14$

$\$22$

$\$16$

$\$18$

$\$20$

Correct answer:

$\$16$

Explanation:

The tab can be rounded to $\$80$ . is equal to 0.20 .

$=\frac{20}{100}=0.20$

Now we can multiply the percent by the total amount.

0.20 * 80 = 16

$\$16$ is the most reasonable estimate of the recommended tip.

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Example Question #2 : How To Estimate

If the number 50,467 is rounded to the nearest hundredth, which of the following expressions would be equal to that value?

Possible Answers:

$505\cdot100$

$504\cdot100$

$505\cdot1,000$

$505\cdot10$

$504.7\cdot100$

Correct answer:

$505\cdot100$

Explanation:

If 50,467 is rounded to the nearest hundredth, the result will be 50,500 .

Given that $505\cdot100=50,500$ , the correct answer is $505\cdot100$

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Example Question #2 : How To Estimate

Estimate the product $437 \times 877 \times 551$ by rounding each factor to the nearest hundred, then multiplying.

Possible Answers:

270,000,000

216,000,000

211,000,000

180,000,000

192,000,000

Correct answer:

216,000,000

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:

$437 \times 877 \times 551 \approx 400 \times 900 \times 600 = 216,000,000$

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Example Question #3 : How To Estimate

Estimate the product $5 \frac{3}{7}\times 9\frac{3}{5} \times 4\frac{4}{5}$ by rounding each factor to the nearest unit, then multiplying.

Possible Answers:

300

180

240

225

250

Correct answer:

250

Explanation:

$5 \frac{3}{7} < 5\frac{1}{2}$ , so $5 \frac{3}{7}$ rounded to the nearest unit is 5.

$9\frac{3}{5} \geq 9\frac{1}{2}$ , so $9\frac{3}{5}$ rounded to the nearest unit is 10.

$4\frac{4}{5} \geq 4\frac{1}{2}$ , so $4\frac{4}{5}$ rounded to the nearest unit is 5.

Multiply the three whole numbers to get the desired estimate:

$5 \frac{3}{7}\times 9\frac{3}{5} \times 4\frac{4}{5} \approx 5 \times 10 \times 5 = 250$

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Example Question #4 : How To Estimate

Estimate the result $8.19 \times 4.87 + 3.27 \times 7.42$ 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:

$8.19 \times 4.87 + 3.27 \times 7.42$

$\approx 8 \times 5 + 3 \times 7$

$=40 + 3 \times 7$

=40 + 21 = 61

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Example Question #5 : How To Estimate

Estimate the result $8 \frac{2}{7}\times 9\frac{4}{5}+ 3\frac{4}{5} \times 6\frac{2}{5}$ by first rounding each number to the nearest unit.

Possible Answers:

104

544

504

106

Correct answer:

104

Explanation:

$8 \frac{2}{7} < 8\frac{1}{2}$ , so $8 \frac{2}{7}$ rounded to the nearest unit is 8.

$9\frac{4}{5} \ge 9\frac{1}{2}$ , so $9\frac{4}{5}$ rounded to the nearest unit is 10.

$3\frac{4}{5} \ge 3\frac{1}{2}$ , so $3\frac{4}{5}$ rounded to the nearest unit is 4.

$6\frac{2}{5} < 6\frac{1}{2}$ , so $6\frac{2}{5}$ rounded to the nearest unit is 6.

The desired estimate can be found as follows:

$8 \frac{2}{7}\times 9\frac{4}{5}+ 3\frac{4}{5} \times 6\frac{2}{5}$

$\approx 8 \times 10 + 4 \times 6$

$= 80 + 4 \times 6$

= 80 + 24 = 104

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Example Question #5 : How To Estimate

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:

$\$ 1\textup{,}130$

$\$ 1\textup{,}100$

$\$ 1\textup{,\textup{}}120$

$\$ 1\textup{,}090$

$\$ 1\textup{,}110$

Correct answer:

$\$ 1\textup{,}100$

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:

190+220+170+100+190+230 = 1,100

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Example Question #6 : How To Estimate

Estimate the product $8.39 \times 7.34 \times 3.52$ by rounding each factor to the nearest unit, then multiplying.

Possible Answers:

217

224

288

196

168

Correct answer:

224

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:

$8.39 \times 7.34 \times 3.52 \approx 8 \times 7 \times 4 = 56 \times 4 = 224$

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SSAT Upper Level Math : How to estimate

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

All SSAT Upper Level Math Resources

Example Questions

Example Question #1 : How To Estimate

Example Question #2 : How To Estimate

Example Question #2 : How To Estimate

Example Question #3 : How To Estimate

Example Question #4 : How To Estimate

Example Question #5 : How To Estimate

Example Question #5 : How To Estimate

Example Question #6 : How To Estimate

All SSAT Upper Level Math Resources

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