SAT Math Questions

24 Questions | By Proprofs | Last updated: Feb 3, 2020 | Total Attempts: 33005

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This is quiz comprising of a set of 25 SAT Math Questions. They reflect the problems found on the SAT Math section. These practice questions have a special focus on algebraic manipulation and counting principles.

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Questions and Answers

1.

If A $ B = A * B - ( A + B), what is 3 $ (2 $ 1)?

Discuss
- A.
  
  -5
- B.
  
  -3
- C.
  
  0
- D.
  
  1
- E.
  
  4
2.

How many numbers less than 1000 are divisble by 3?
- A.
  
  300
- B.
  
  310
- C.
  
  311
- D.
  
  333
- E.
  
  500
3.

If a^b = c^d, which of the following is not necessarily true?

Discuss
- A.
  
  A^b - c^d = 0
- B.
  
  A^b + c^d = 2 * (a^b)
- C.
  
  (a^b)/(c^d) = 1
- D.
  
  A = c
- E.
  
  A^b * c^d = a^(2*b)
4.

Which of the following lines does not intersect y = 5 x + 2?

Discuss
- A.
  
  -5x + 2y = 4
- B.
  
  -2x + 5y = -3
- C.
  
  10x - y = 1
- D.
  
  3x + y = 17
- E.
  
  5x - y = -29
5.

A regular polygon has 9 sides. What is the degree measure of the angle, within the polygon, between any two sides?

Discuss
- A.
  
  60
- B.
  
  90
- C.
  
  120
- D.
  
  140
- E.
  
  165
6.

A cubic box, X, has sides of length n. Another cubic box, Y, has sides of length 2n. How many boxes X could fit into a single box Y?

Discuss
- A.
  
  2
- B.
  
  4
- C.
  
  8
- D.
  
  16
- E.
  
  32
7.

A number is called "round" if it contains at least one zero as a digit. How many three-digit numbers are "round?"

Discuss
- A.
  
  153
- B.
  
  171
- C.
  
  178
- D.
  
  179
- E.
  
  215
8.

How many ways can Pete, Mary, Sue, and Joe stand in a line if Joe and Sue cannot stand next to each other?

Discuss
- A.
  
  4
- B.
  
  6
- C.
  
  12
- D.
  
  16
- E.
  
  18
9.

A square, X, has sides of length n. Another square, Y, has sides of length 1.5n. How many X can fit into a single Y?

Discuss
- A.
  
  1
- B.
  
  1.5
- C.
  
  2
- D.
  
  2.25
- E.
  
  4
10.

A triangle has sides of length 7, 11, and X. Which of the following cannot be X?

Discuss
- A.
  
  2
- B.
  
  4
- C.
  
  8
- D.
  
  12
- E.
  
  18
11.

If |a| < |b|, and a > b, which of the following is necessarily true?

Discuss
- A.
  
  |a + b| > |b| + |a|
- B.
  
  |a + b| < a - b
- C.
  
  |a| + |b| > 2|b|
- D.
  
  |a - b| > a + b
- E.
  
  |a| - |b| > |a - b|
12.

Six children sit at a circular table. In how many orders can they sit at the table?

Discuss
- A.
  
  6
- B.
  
  18
- C.
  
  64
- D.
  
  118
- E.
  
  120
13.

If a two-sided coin is flipped three times, what is the probability that at least one head will show up?

Discuss
- A.
  
  1/8
- B.
  
  3/8
- C.
  
  1/2
- D.
  
  2/3
- E.
  
  7/8
14.

If m & n = (m + n)^(m - n), what is 2 & (2 & 2)?
- A.
  
  2
- B.
  
  3
- C.
  
  4
- D.
  
  6
- E.
  
  8
15.

Which of the following cannot be formed from any combination of two pennies, three nickles, one dime, and two quarters?

Discuss
- A.
  
  $0.03
- B.
  
  $0.54
- C.
  
  $0.56
- D.
  
  $0.75
- E.
  
  $0.78
16.

A three-digit number is called "big" if any two of its digits are equal. How many three-digit numbers are "big?"
- A.
  
  112
- B.
  
  146
- C.
  
  214
- D.
  
  252
- E.
  
  316
17.

If 2 ^ (4x + 3) = 4 ^ (x - 1), what is x?
- A.
  
  -3
- B.
  
  -5/2
- C.
  
  -1
- D.
  
  2
- E.
  
  4/3
18.

Which of the following values of x is not in the domain of the function y = x / (x^2-2x+1)
- A.
  
  -3
- B.
  
  -2
- C.
  
  -1
- D.
  
  0
- E.
  
  1
19.

If a + b = y, what is a^2 + 2ab + b^2?
- A.
  
  Y
- B.
  
  2y
- C.
  
  Y^2
- D.
  
  2y^2
- E.
  
  4y^2
20.

The number 100 has two trailing zeros. How many trailing zeros does 100! have?

Discuss
- A.
  
  12
- B.
  
  15
- C.
  
  18
- D.
  
  24
- E.
  
  28
21.

Which of the following statements is always true?

Discuss
- A.
  
  |(a+b)^2| < |a^2| + |b^2|
- B.
  
  |a^2 + b^2| > (a+b)^2
- C.
  
  |a^2 + b^2| >= |a+b|^2
- D.
  
  |a^2 + b^2 - 1|
- E.
  
  |a + b^2| > |a^2 - b|
22.

In physics, force = mass * acceleration. Suppose you have an original force F and new force G in which the mass is increased by a factor of two and the acceleration is increased by a factor of four. What is the ratio of G:F?

Discuss
- A.
  
  1:8
- B.
  
  1:4
- C.
  
  1:1
- D.
  
  4:1
- E.
  
  8:1
23.

If a^2 = b^2, which of the following is/are always true? I. a = b II. |a| = |b| III. |a - b| = 0
- A.
  
  I only
- B.
  
  II only
- C.
  
  I and II
- D.
  
  I and III
- E.
  
  I, II, and III
24.

If (a-b)^2 = (a+b)^2, what is the value of ab?
- A.
  
  -4
- B.
  
  -2
- C.
  
  0
- D.
  
  2
- E.
  
  4

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