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Test your basic knowledge |
GRE Math: All In One
Start Test
Study First
Subjects
:
gre
,
math
Instructions:
Answer 50 questions in 15 minutes.
If you are not ready to take this test, you can
study here
.
Match each statement with the correct term.
Don't refresh. All questions and answers are randomly picked and ordered every time you load a test.
This is a study tool. The 3 wrong answers for each question are randomly chosen from answers to other questions. So, you might find at times the answers obvious, but you will see it re-enforces your understanding as you take the test each time.
1. Simplify 4sqrt21 X 5sqrt2 / 10sqrt7
A= (1/2) b*h
48
16.6666%
2sqrt6
2. What is a minor arc?
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3. Volume of a rectangular solid
Ab=k (k is a constant)
(length)(width)(height)
All numbers multiples of 1.
37.5%
4. Time
(a + b)^2
(distance)/(rate) d/r
x²-2xy+y²
Straight Angle
5. How many multiples does a given number have?
55%
Infinite.
F(x) + c
V=Lwh
6. If 8 schools are in a conference - how many games are played if each team plays each other exactly once?
All numbers which can be expressed as a ratio of two integers. (All integers and fractions.) (-2 - 1 - .25 - 1/2)
2.4. We calculate the area (6) and then turn the triangle on its side and use x as the height to calculate again. (5x)/2=6
61 - 67
28. n = 8 - k = 2. n! / k!(n-k)!
7. How to determine percent decrease?
2^9 / 2 = 256
(amount of decrease/original price) x 100%
(length)(width)(height)
18
8. What are 'Supplementary angles?'
V=side³
Two angles whose sum is 180.
Do not have slopes!
52
9. How to recognize if a # is a multiple of 12
The sum of the digits it a multiple of 3 and the last two digits is a multiple of 4. (i.e 144: 1+4+4=9 which is a multiple of 3 - and 44 is a multiple of 4 - so 144 is a multiple of 12.)
$3 -500 in the 9% and $2 -500 in the 7%.
x²-2xy+y²
Cd
10. formula for volume of a rectangular solid
4725
V=l×w×h
$3 -500 in the 9% and $2 -500 in the 7%.
9
11. 30 60 90
x - x(SR3) - 2x
(p + q)/5
1/x
An expression with just one term (-6x - 2a^2)
12. Evaluate 4/11 + 11/12
Infinite.
Factors are few - multiples are many.
F(x + c)
1 & 37/132
13. 1/8 in percent?
x²-y²
12.5%
1
(length)(width)(height)
14. What is the 'Solution' for a set of inequalities.
31 - 37
2.592 kg
F(x) - c
The overlapping sections.
15. The perimeter of a square is 48 inches. The length of its diagonal is:
12sqrt2
M
Two angles whose sum is 90.
A chord is a line segment joining two points on a circle.
16. Probability of Event all cases
Ø=P(E)=1
A set with no members - denoted by a circle with a diagonal through it.
A multiple of every integer
(b + c)
17. The larger the absolute value of the slope...
10
27^(-4)
8
The steeper the slope.
18. x^2 = 9. What is the value of x?
x²-2xy+y²
Even prime number
3 - -3
An angle which is supplementary to an interior angle.
19. If y is directly proportional to x - what does it equal?
y/x is a constant
Two (Ø×2=Ø)
Cd
5 - 12 - 13
20. How do you solve proportions? a/b=c/d
A multiple of every integer
A = length x width
83.333%
Cross multiplication a/b=c/d 4/6=10/15 4(15)=6(10) 60=60
21. (6sqrt3) x (2sqrt5) =
(6 x 2)(sqrt3 x sqrt5) = 12sqrt15
A multiple of every integer
360°
Can be negative - zero - or positive
22. The Perimeter of a Square
Ø
P=4s (s=side)
P(E) = number of favorable outcomes/total number of possible outcomes
1/x
23. formula for the volume of a cube
1 - P(E)
Members or elements
N! / (k!)(n-k)!
V=side³
24. If a is positive - an is
Straight Angle
an angle that is less than 90°
Lies opposite the greater angle
Positive
25. Area of a rectangle
No - only like radicals can be added.
A = length x width
N! / (k!)(n-k)!
The objects within a set.
26. bn
P=2(l+w)
The sum of the digits is a multiple of 9.
2sqrt6
B?b?b (where b is used as a factor n times)
27. What is the ratio of the sides of a 30-60-90 triangle?
288 (8 9 4)
(amount of decrease/original price) x 100%
1:sqrt3:2
y/x is a constant
28. Ratio of ages of Anna and Emma is 3:5 and of Emma and Nicolas is 3:5. What is the ratio of Anna to Nicholas' ages?
12.5%
A central angle is an angle formed by 2 radii.
9 : 25
71 - 73 - 79
29. x^6 / x^3
Smallest positive integer
360°
x^(6-3) = x^3
D=rt so r= d/t and t=d/r
30. (x-y)(x+y)
Arc length = (n/360) x pi(2r) where n is the number of degrees.
x²-y²
P=2(l+w)
A term is a numerical constant or the product (or quotient) of a numerical constant and one or more variables. (3x - 4x^2 and 2a/c)
31. 30 60 90
11 - 13 - 17 - 19
5 - 12 - 13
Arc length = (n/360) x pi(2r) where n is the number of degrees.
Every number
32. 7/8 in percent?
5 OR -5
x²-2xy+y²
The point of intersection of the systems.
87.5%
33. Formula for the area of a sector of a circle?
The greatest value minus the smallest.
2.592 kg
The interesection of A and B.
Sector area = (n/360) X (pi)r^2
34. The objects in a set are called two names:
The sum of the digits is a multiple of 3 (i.e. 45 ... 4 + 5 = 9 so the whole thing is a multiple of 3)
Members or elements
x²-y²
8
35. 1/2 divided by 3/7 is the same as
1/2 times 7/3
2sqrt6
The two xes after factoring.
1
36. What is a subset?
an angle that is less than 90°
A²+b²=c²
The greatest value minus the smallest.
A grouping of the members within a set based on a shared characteristic.
37. What is the slope of a horizontal line?
angle that is greater than 90° but less than 180°
The set of elements found in both A and B.
0
2.4. We calculate the area (6) and then turn the triangle on its side and use x as the height to calculate again. (5x)/2=6
38. If a product of two numbers is Ø - one number must be
Ø
The graph of 3(x - 1)^2 is a translation (shift) of the graph one unit or space to the right.
12! / 5!7! = 792
12.5%
39. If a is negative and n is even then an is (positive or negative?)
An is positive
A term is a numerical constant or the product (or quotient) of a numerical constant and one or more variables. (3x - 4x^2 and 2a/c)
Even
x²-y²
40. What is the side length of an equilateral triangle with altitude 6?
A chord is a line segment joining two points on a circle.
Diameter(Pi)
4sqrt3. The triangle can be divided into two equal 30-60-90 triangles with side 6 as the side in which 6 = xsqrt3. So x =2sqrt3...
Its last two digits are divisible by 4.
41. 3 is the opposite of
7 / 1000
The shortest arc between points A and B on a circle'S diameter.
10! / (10-3)! = 720
3
42. Define an 'expression'.
an angle that is less than 90°
90°
An algebraic expression is a combination of one of more terms. Terms in an expression are separated by either addition or subtraction signs. (3xy - 4ab - -5cd - x^2 + x - 1)
16.6666%
43. 7 divided by Ø
(distance)/(rate) d/r
x - x+1 - x+2
Null
The objects within a set.
44. 30< all primes<40
1
52
D=rt so r= d/t and t=d/r
31 - 37
45. Volume of a rectangular box
V=Lwh
Null
The triangle is a right triangle. The hypotenuse is twice the length of the shorter leg. The ratio of the length of the three sides is x:xv3:2x
3
46. What is the ratio of the surface area of a cube with an edge of 10 to the surface area of a rectangular solid with dimensions 2 - 4 - and 6?
A chord is a line segment joining two points on a circle.
1/x
Two angles whose sum is 180.
75:11
47. Probability of an Event
1
P(E) = number of favorable outcomes/total number of possible outcomes
62.5%
1:1:sqrt2
48. What are the irrational numbers?
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49. What is a major arc?
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50. Product of any number and Ø is
(pi)r²
Ø
2(pi)r
(n-2) x 180