Official SSAT Math Upper Level – Free Diagnostic Practice Test

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Upper Level SSAT

SSAT Quantitative Reasoning – Upper Level – Free Diagnostic Practice Test 1

Diagnostic Quiz

Math Part 1 of the SSAT – 30 mins total

Ensure there are no distractions around you. The timer, when finished, will log you out and your results will be shown back to you.

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If \(\) h = 2, and h, i, and j are consecutive even integers and h < i < j what is h + i + j ?

2 / 24

If \( 3x – y = 23 \) and \( x \) is an integer greater than 0, which of the following is NOT a possible value for \( y \)?

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$30.00 is taken off the price of a dress. If the new price is now 60% of the original price, what was the original price of the dress?

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Given the equations \( 2x + y = 8 \) and \( z + y = 8 \), what is the value of \( x \)?

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A, B, and C are squares. The length of one side of square A is 3. The length of one side of square B is twice the length of a side of square A, and the length of one side of square C is twice the length of a side of square B. What is the average area of the three squares?

 

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Melissa lives 30 miles from work and Katy lives 40 miles from work. If Melissa and Katy work at the same office, how many miles apart do the girls live from each other?

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Tracy goes to the store and buys only candy bars and cans of soda. She buys 3 times as many candy bars as cans of soda. If she buys a total of 24 items, how many of those items are candy bars?

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An art gallery has three collections: modern art, sculpture, and photography. If the 24 items that make up the modern art collection represent 25% of the total number of items in the gallery, then the average number of items in each of the other two collections is

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If \( x = \frac{1}{2} + \frac{1}{3} + \frac{1}{4} \) and \( y = \frac{1}{2} + \frac{2}{3} + \frac{3}{4} \), then \( x + y = \)

10 / 24

Which of the following is equal to w ?

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\( 14 + 3 \times 7 + \left( \frac{12}{2} \right) = \)

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If \( \frac{4}{5} \) of a number is 28, then \( \frac{1}{5} \) of that number is

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If the product of 412.7 and 100 is rounded to the nearest hundred, the answer will be

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\( -\left(\frac{4}{3}\right)^3 = \)

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The Ace Delivery Company employs two drivers to make deliveries on a certain Saturday. If Driver A makes \( d \) deliveries and Driver B makes \( d + 2 \) deliveries, then in terms of \( d \), the average number of deliveries made by each driver is

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With 4 days left in the Mountain Lake Critter Collection Contest, Mary has caught 15 fewer critters than Natalie. If Mary is to win the contest by collecting more critters than Natalie, at least how many critters per day must Mary catch?

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If, at a fundraising dinner, x guests each donates $200 and y guests each donate $300,

in terms of x  and y, what is the total amount of money raised?

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Maggie wants to mail postcards to 25 of her friends and needs one stamp for each postcard. If she buys 3 stamps at a time, how many sets of stamps must she buy in order to mail all of her postcards?

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Anna (A) and Bob (B) are avid readers. If Anna and Bob together read an average of 200 pages in a day and Bob reads fewer pages than Anna, which equation must be true?

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Of the following choices, which value for \( x \) would satisfy the inequality \( \frac{1}{5} + x > 1 \)?

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At Calvin U. Smith Elementary School, the ratio of students to teachers is 9:1. What fractional part of the entire population at the school is teachers?

22 / 24

Refer to chart.

The money raised by the $15.00 candy is approximately what percent of the total money raised from the candy sale?

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There are 12 homes on a certain street. If 4 homes are painted blue, 3 are painted red, and the remaining homes are green, what fractional part of the homes on the street are green?

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A rectangular fish tank with dimensions 2 feet × 3 feet × 4 feet is being filled by a hose that produces 6 cubic feet of water per minute. At this rate, how many minutes will it take to fill the tank?

The average score is 13%

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