New York City SHSAT 2017

(Marvins-Underground-K-12) #1
which, when rounded, becomes $57.38 per week.

D
The original price is x. The price paid is 70 percent of the original price (100% minus 30%). So,

31.


H


The numbers for the week are 16, 21, 20, 17, 19, 21, 17. Listing them in ascending order, we have 16, 17, 17, 19, 20, 21, 21.
There is an odd number of numbers, so the median is the number in the middle of the set: 19.

32.


C


Adding the 8 white, 4 red, 7 green, and 5 blue marbles, we have a total of 24 marbles. If 8 are withdrawn, 16 remain in the
bag. If the chance of drawing a white marble is now 4 white marbles remain in the bag, so 4 must have been drawn out.

33.


G


To find the square root of a large number, we can break the number down into two or more factors, and write the number as
the product of the square roots of those factors. This is especially useful when one of the factors is a perfect square. In this
case, we want to break 1,500 down into two factors: 1,500 = 15 • 100, and 100 is a perfect square. So

34.


D


This is a basic arithmetic problem, and if you remember PEMDAS, it will be a breeze. PEMDAS tells you the order in which
we need to do the different calculations: Parentheses, Exponents, Multiplication and Division, Addition and Subtraction.
Take the expression and solve the parts in that order:

35.


H


Obviously, one way to solve this one would be to do the calculation. But this is really a test to see if you understand how to
approximate a calculation by rounding off numbers. You could round off both numbers to the nearest whole number, but that
wouldn’t make the calculation much easier. And besides, the answer choices we’re choosing between are pretty far apart, so
we can probably round both numbers to the nearest ten. 48.9 is closer to 50.0, so round it up to 50, and 21.2 is closer to 20,
so round it down to 20. Now the multiplication is 50 • 20 or 1,000.

36.

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