Prime number
1 question or flashcard- 01
How many prime numbers are there between 20 and 40?
- A
4
- B
3
- C
5
- D
6
- A
Percentage
2 questions and flashcards- 02
Quantitative Comparison. Compare the two quantities.
A price is increased by 20% and the new price is then decreased by 20%.
Quantity A: The final price
Quantity B: The original price
- A
Quantity A is greater
- B
Quantity B is greater
- C
The two quantities are equal
- D
The relationship cannot be determined from the information given
- A
- 03
Quantitative Comparison. Compare the two quantities.
Quantity A: 30% of 50
Quantity B: 50% of 30
- A
Quantity A is greater
- B
Quantity B is greater
- C
The two quantities are equal
- D
The relationship cannot be determined from the information given
- A
Ratio
1 question or flashcard- 04
In a class the ratio of boys to girls is 3 : 5. There are 40 students. How many boys are there?
- A
8
- B
15
- C
24
- D
12
- A
Modular arithmetic
2 questions and flashcards- 05
What is the units digit of $7^{23}$?
- A
7
- B
3
- C
1
- D
9
- A
- 06
When the positive integer $n$ is divided by 7, the remainder is 3. What is the remainder when $2n + 1$ is divided by 7?
- A
6
- B
3
- C
1
- D
0
- A
Least common multiple
1 question or flashcard- 07
Quantitative Comparison. Compare the two quantities.
Quantity A: The least common multiple of 12 and 18 multiplied by their greatest common divisor
Quantity B: 12 × 18
- A
Quantity A is greater
- B
Quantity B is greater
- C
The two quantities are equal
- D
The relationship cannot be determined from the information given
- A
Fraction
1 question or flashcard- 08
Quantitative Comparison. Compare the two quantities.
Quantity A: $\dfrac{5}{8}$
Quantity B: $\dfrac{7}{11}$
- A
Quantity A is greater
- B
Quantity B is greater
- C
The two quantities are equal
- D
The relationship cannot be determined from the information given
- A
Square root
2 questions and flashcards- 09
Quantitative Comparison. Compare the two quantities.
$x < 0$
Quantity A: $\sqrt{x^2}$
Quantity B: $x$
- A
Quantity A is greater
- B
Quantity B is greater
- C
The two quantities are equal
- D
The relationship cannot be determined from the information given
- A
- 10
Quantitative Comparison. Compare the two quantities.
$x \neq 0$
Quantity A: $\sqrt{x^2}$
Quantity B: $x$
- A
Quantity A is greater
- B
Quantity B is greater
- C
The two quantities are equal
- D
The relationship cannot be determined from the information given
- A
Exponentiation
2 questions and flashcards- 11
Quantitative Comparison. Compare the two quantities.
Quantity A: $2^{10}$
Quantity B: $10^3$
- A
Quantity A is greater
- B
Quantity B is greater
- C
The two quantities are equal
- D
The relationship cannot be determined from the information given
- A
- 12
For $x \neq 0$, simplify $\dfrac{(x^3)^2}{x^4}$.
- A
$x^{-1}$
- B
$x^2$
- C
$x^5$
- D
$x^{1.5}$
- A
Negative number
1 question or flashcard- 13
Quantitative Comparison. Compare the two quantities.
$x = -\dfrac{1}{2}$
Quantity A: $x^2$
Quantity B: $x^3$
- A
Quantity A is greater
- B
Quantity B is greater
- C
The two quantities are equal
- D
The relationship cannot be determined from the information given
- A
Linear equation
1 question or flashcard- 14
If $3(x - 2) = 2x + 5$, what is $x$?
- A
11
- B
−1
- C
1
- D
7
- A
Quadratic equation
1 question or flashcard- 15
Quantitative Comparison. Compare the two quantities.
$x^2 - 5x + 6 = 0$
Quantity A: The sum of the roots
Quantity B: The product of the roots
- A
Quantity A is greater
- B
Quantity B is greater
- C
The two quantities are equal
- D
The relationship cannot be determined from the information given
- A
Absolute value
1 question or flashcard- 16
How many integers $x$ satisfy $|x - 3| < 5$?
- A
9
- B
10
- C
4
- D
8
- A
System of linear equations
1 question or flashcard- 17
If $x + y = 10$ and $x - y = 4$, what is the value of $xy$?
- A
40
- B
14
- C
24
- D
21
- A
Function (mathematics)
1 question or flashcard- 18
If $f(x) = x^2 + 1$, what is $f(f(2))$?
- A
26
- B
17
- C
25
- D
10
- A
Inequality (mathematics)
1 question or flashcard- 19
Quantitative Comparison. Compare the two quantities.
$a < b$
Quantity A: $a^2$
Quantity B: $b^2$
- A
Quantity A is greater
- B
Quantity B is greater
- C
The two quantities are equal
- D
The relationship cannot be determined from the information given
- A
Integer
1 question or flashcard- 20
The sum of three consecutive integers is 45. What is the largest of them?
- A
16
- B
15
- C
17
- D
14
- A
Proportionality (mathematics)
1 question or flashcard- 21
$y$ is inversely proportional to $x$. When $x = 4$, $y = 6$. What is $y$ when $x = 8$?
- A
10
- B
3
- C
12
- D
2
- A
Arithmetic progression
1 question or flashcard- 22
The sequence 3, 7, 11, 15, … continues with the same pattern. What is the 20th term?
- A
79
- B
76
- C
83
- D
80
- A
Triangle inequality
1 question or flashcard- 23
Two sides of a triangle have lengths 5 and 8. How many integer values are possible for the length of the third side?
- A
13
- B
12
- C
8
- D
9
- A
Pythagorean theorem
1 question or flashcard- 24
A right triangle has legs of length 9 and 12. What is the length of the hypotenuse?
- A
$\sqrt{63}$
- B
21
- C
13
- D
15
- A
Polygon
1 question or flashcard- 25
What is the measure of each interior angle of a regular hexagon?
- A
108°
- B
135°
- C
60°
- D
120°
- A
Circle
1 question or flashcard- 26
A circle has area $16\pi$. What is its circumference?
- A
$4\pi$
- B
$8\pi$
- C
$16\pi$
- D
$32\pi$
- A
Special right triangle
2 questions and flashcards- 27
In a 30°–60°–90° triangle the hypotenuse is 10. What are the two legs?
- A
5 and $5\sqrt{3}$
- B
$5\sqrt{2}$ and $5\sqrt{2}$
- C
$\dfrac{10}{\sqrt{3}}$ and 10
- D
5 and 5
- A
- 28
A square has a diagonal of length 6. What is its area?
- A
36
- B
18
- C
$18\sqrt{2}$
- D
9
- A
Euclidean distance
1 question or flashcard- 29
What is the distance between the points $(1, 2)$ and $(4, 6)$?
- A
25
- B
7
- C
5
- D
$\sqrt{7}$
- A
Slope
1 question or flashcard- 30
Which line is perpendicular to $y = 2x + 1$?
- A
$y = 2x - 1$
- B
$y = -\dfrac{1}{2}x + 3$
- C
$y = \dfrac{1}{2}x + 3$
- D
$y = -2x + 3$
- A
Cylinder
1 question or flashcard- 31
Quantitative Comparison. Compare the two quantities.
A cylinder has radius 2 and height 5. A cube has edge 4.
Quantity A: The volume of the cylinder
Quantity B: The volume of the cube
- A
Quantity A is greater
- B
Quantity B is greater
- C
The two quantities are equal
- D
The relationship cannot be determined from the information given
- A
Rectangle
1 question or flashcard- 32
Quantitative Comparison. Compare the two quantities.
A rectangle has perimeter 20 and one side of length 4.
Quantity A: The area of a square with perimeter 20
Quantity B: The area of the rectangle
- A
Quantity A is greater
- B
Quantity B is greater
- C
The two quantities are equal
- D
The relationship cannot be determined from the information given
- A
Median
1 question or flashcard- 33
Quantitative Comparison. Compare the two quantities.
The set is {1, 2, 3, 4, 90}.
Quantity A: The mean of the set
Quantity B: The median of the set
- A
Quantity A is greater
- B
Quantity B is greater
- C
The two quantities are equal
- D
The relationship cannot be determined from the information given
- A
Standard deviation
1 question or flashcard- 34
Quantitative Comparison. Compare the two quantities.
Quantity A: The standard deviation of {2, 4, 6}
Quantity B: The standard deviation of {1, 4, 7}
- A
Quantity A is greater
- B
Quantity B is greater
- C
The two quantities are equal
- D
The relationship cannot be determined from the information given
- A
Weighted arithmetic mean
1 question or flashcard- 35
In one class of 20 students the average score is 80. In another class of 30 students the average is 90. What is the average score of all 50 students?
- A
86
- B
87
- C
84
- D
85
- A
68–95–99.7 rule
1 question or flashcard- 36
Scores are normally distributed with mean 500 and standard deviation 100. Approximately what percent of scores lie between 500 and 600?
- A
68%
- B
16%
- C
50%
- D
34%
- A
Quartile
1 question or flashcard- 37
For the data set {1, 3, 5, 7, 9, 11, 13, 15}, what is the interquartile range?
- A
4
- B
8
- C
14
- D
7
- A
Combination
1 question or flashcard- 38
A committee of 3 people is to be chosen from 7 candidates. How many different committees are possible?
- A
343
- B
21
- C
210
- D
35
- A
Permutation
1 question or flashcard- 39
In how many ways can 4 of 6 different books be arranged in a row on a shelf?
- A
720
- B
15
- C
360
- D
24
- A
Probability
1 question or flashcard- 40
Two fair six-sided dice are rolled. What is the probability that the sum is 7?
- A
$\dfrac{7}{36}$
- B
$\dfrac{1}{6}$
- C
$\dfrac{1}{11}$
- D
$\dfrac{1}{12}$
- A
Complementary event
1 question or flashcard- 41
A fair coin is flipped 3 times. What is the probability of getting at least one head?
- A
$\dfrac{1}{8}$
- B
$\dfrac{7}{8}$
- C
$\dfrac{1}{2}$
- D
$\dfrac{3}{8}$
- A
Inclusion–exclusion principle
1 question or flashcard- 42
Of 50 students, 30 take mathematics, 25 take physics and 10 take both. How many take neither?
- A
5
- B
15
- C
10
- D
0
- A
Speed
1 question or flashcard- 43
A car travels from town A to town B at 60 km/h and returns along the same road at 30 km/h. What is its average speed for the round trip?
- A
50 km/h
- B
40 km/h
- C
35 km/h
- D
45 km/h
- A
Rate (mathematics)
1 question or flashcard- 44
Working alone, machine A finishes a job in 4 hours and machine B in 6 hours. How long do they take working together?
- A
2.4 hours
- B
10 hours
- C
2 hours
- D
5 hours
- A
Compound interest
1 question or flashcard- 45
Quantitative Comparison. Compare the two quantities.
$1,000 is invested for 2 years at 10% per year.
Quantity A: The interest earned if the interest is simple
Quantity B: The interest earned if the interest is compounded annually
- A
Quantity A is greater
- B
Quantity B is greater
- C
The two quantities are equal
- D
The relationship cannot be determined from the information given
- A
End of deck · 45 questions and flashcards