New York City SHSAT 2017

(Marvins-Underground-K-12) #1
Plug in the number 9 for each z in the problem, which will yield 9 × 12 in the numerator and 5 × 9 in the denominator. The 9s
cancel, leaving you with

J
The total area is 8 × 9 = 72. One-third of that is red Then of the remaining squares (48) are
GREEN, so there are 6 GREEN squares. That leaves 42 uncolored squares.

86.


D


A prime factor means that the number you want must be a factor as well as a prime number. (So, you should determine which
answer choices are prime numbers and choose from among them to find which one is also a factor of 726. What you’re left
with is a prime factor.) The numbers 6 and 9 are automatically wrong since they are not prime numbers. The number 11 is a
prime factor of 726. (The prime numbers 7 and 13 are not factors of 726).

87.


H


This is a perfect problem for picking numbers. Pick a simple number for N; let’s use 3. Then plug it into the answer choices
and see which one is correct.

Only answer (H) works.

88.


D


F = x and C = 7x + 8, so to find what F + C represents, just plug in x for F and (7x + 8) for C. You should now have x + 7x +
8 or 8x + 8.

89.


H


This is a direct translation problem. Just make sure that when you translate, you write out your equation in the same order as
the sentence.

90.


B


10 − 8 = 2. (Look at the rules for radicals: You can’t subtract 64 from 100 first and then find the square root. You must first
find and then subtract.)

91.


G


When you plug in the values for x, you get 4, 0, and 4 as values for y.

92.


B


The temptation is to answer (D), but you must first find the total number of chips by adding them all together (giving you 16).
Let x be the number of chips with the color that has a probability of of being chosen.

93.

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