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Exam (elaborations)

Digital Premium 2025 SAT Math Hard Questions Exam With Complete Solutions!!

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  • SAT
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The SAT (Scholastic Assessment Test) is a standardized test widely used for college admissions in the United States. It assesses a student’s readiness for college and provides a common data point for comparing applicants. Administered by the College Board, the SAT evaluates critical reading, writ...

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  • January 24, 2025
  • 23
  • 2024/2025
  • Exam (elaborations)
  • Questions & answers
  • SAT
  • SAT
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Schoolflix
Q&A


Digital Premium 2025 SAT Math Hard
Questions Exam With Complete
Solutions!!



Quick Quiz 1 #5

If (c-d)/c = 5/8, which of the following must also be true?

A) (c-d)/d = 8/5

B) d/c = 13/8

C) (c+d)/c = 13/8

D) c/d = 8/3 - Answers C Plugging in is all about making your life
easier, so do the easiest thing here and make c = 8. Now figure out what
value of d makes the equation true. The numerators must be equal, so 8 - d
= 5 and d = 3. Use these values to test the answer choices. Choice (A)
becomes (8-5)/5 = 8/5, which is not true. Choice (B) becomes 5/8 = 13/8,
which can be eliminated. Choice (C) becomes (8+5)/8 = 13/8, which is true,
and (D) becomes 8/5 = 8/3 , which is false. Only (C) is true, so that's the
correct answer.



Quick Quiz 1 #29

2x + p = 7x - 3

2y + q = 7y - 3

In the above equations, p and q are constants. If q is 5 less than p, which of
the following statements is true?

, Q&A

A) x is 1 less than y

B) x and y are equal

C) x is 1 more than y

D) x is 2 more than y - Answers C There is a lot more going on in
this question, so write things down to avoid confusion. Start with q and p
since their relationship is given. If p = 7, then q = 2. Plug these values into
the equations and solve for x and y. The first equation becomes 2x + 7 = 7x
- 3 or 5x = 10, so x = 2. The second equation becomes 2y + 2 = 7y - 3 or 5y
= 5, so y = 1. Use POE to get rid of answers that aren't true. All but (C) are
false, so (C) is the correct answer.



Quick Quiz 2 #24

In the figure shown above, sin (c°) = cos (d°). If c = 3y - 27 and d = 7y - 16,
what is the value of y ?

A) 3.3

B) 5.3

C) 10.3

D) 13.3 - Answers D This is a hard one that expects you to know
some things about trigonometry. You may not recognize the rule being
tested, but you should see the opportunity to use PITA. The answers
represent y, so plug them into the equations for c and d and get those
values. Then it's just a matter of using your calculator's handy SIN and
COS buttons to see if sin (c°) = cos (d°). Start with (C): if y = 10.3, c =
3(10.3) - 27 = 3.9 and d = 7(10.3) - 16 = 56.1. Use your calculator, in
degree mode, to find that sin (3.9°) = 0.068 and cos (65.1°) = 0.421. These
aren't equal, so eliminate (C). It may be hard to tell which way to go, but at
worst, you'll have to try three of the four answers, which should still be
worth the time. In this case, a smaller number will make c negative, which
probably won't work, so go bigger. Now try (D): if y = 13.3, c = 12.9 and d =

, Q&A

77.1. Since sin (12.9°) = 0.223 and cos (77.1°) = 0.223, (D) is correct. You
may notice how 12.9° and 77.1° add up to 90°. This question is really
testing if you know that for the complementary angles in a right triangle, the
sine of one is equal to the cosine of the other, and vice versa. Using PITA,
though, you could avoid that entirely.



Quick Quiz 3 #21

Three numbers, a, b, and c, have a sum of 672. The value of a is 25% less
than the sum of b and c. What is the value of a?

A) 97

B) 135

C) 288

D) 372 - Answers C Start by estimating. The value of a can't be too
small, if it is close to the sum of b and c. Choice (A) is probably too small,
so eliminate it. The value of a also can't be more than half the total, since it
is less than the sum of the other two numbers. Therefore, (D) is too big.
With only (B) and (C) left, you could just guess and go, but using PITA will
get you the right answer. For (C), if a = 288, there is 672 - 288 = 384 left for
the sum of b and c. Is 288 = 384 - 25/100 (384)? Yes, it is, so (C) is the
correct answer.



Quick Quiz 1 Ch. 2 #23

An art teacher has a jar containing b buttons to distribute to her class for a
project. In order to give each child in the class 6 buttons, she will need 18
more buttons. If she gives each child 5 buttons, she will have 4 left over.
How many children are in the class?

A) 17

B) 19

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