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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. For what values should the domain be restricted for the function f(x) = sqrt(x + 8)
F(x) - c
Prime numbers (2 - 3 - 5 - 7 - 11 - 13 - 17 - 19 - 23)
8
[(7+ sqrt93) /2] - [(7 - sqrt93) / 2]
2. What is the 'Solution' for a system of linear equations?
Cross multiplication a/b=c/d 4/6=10/15 4(15)=6(10) 60=60
D=rt so r= d/t and t=d/r
Ab+ac
The point of intersection of the systems.
3. Positive integers that have exactly 2 positive divisors are
Prime numbers (2 - 3 - 5 - 7 - 11 - 13 - 17 - 19 - 23)
1
P=2(l+w)
360°
4. What is the 'Solution' for a set of inequalities.
A = length x width
The overlapping sections.
Its last two digits are divisible by 4.
62.5%
5. How to recognize a multiple of 6
1
13pi / 2
Sum of digits is a multiple of 3 and the last digit is even.
The sum of digits is divisible by 9.
6. What is the set of elements which can be found in either A or B?
The union of A and B.
1
72
Can be negative - zero - or positive
7. What is the measure of an exterior angle of a regular pentagon?
72
A = length x width
An is positive
y = 2x^2 - 3
8. Area of a rectangle
Negative
A = length x width
An arc is a portion of a circumference of a circle.
0
9. 1:sqrt3:2 is the ratio of the sides of what kind of triangle?
zero
360°
NOT A PRIME
A 30-60-90 triangle.
10. Probability of E not occurring:
x²-y²
P=4s (s=side)
1 - P(E)
C = (pi)d
11. Define a 'Term' -
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)
180°
An is positive
1
12. What is the 'Range' of a function?
Can be negative - zero - or positive
90
Edge³
The set of output values for a function.
13. How do you solve proportions? a/b=c/d
4a^2(b)
Positive
Cross multiplication a/b=c/d 4/6=10/15 4(15)=6(10) 60=60
Undefined - because we can'T divide by 0.
14. What is it called when a point is reflected to the quadrant opposite it (i.e. I to III or II to IV)?
A reflection about the origin.
Ø
(amount of decrease/original price) x 100%
1/a^6
15. What are the smallest three prime numbers greater than 65?
A+c<b+c
An infinite set.
(6 x 2)(sqrt3 x sqrt5) = 12sqrt15
67 - 71 - 73
16. What is a set with no members called?
The empty set - denoted by a circle with a diagonal through it.
27^(-4)
(length)(width)(height)
Ø
17. 5/6 in percent?
83.333%
Factors are few - multiples are many.
P(E) = 1/1 = 1
A+c<b+c
18. Number of degrees in a triangle
y = (x + 5)/2
4a^2(b)
180
(n-2) x 180
19. What is a percent?
A percent is a fraction whose denominator is 100.
x²-2xy+y²
6 : 1 : 2
2(pi)r
20. Is 0 even or odd?
A=pi*(r^2)
48
Even
The set of elements found in both A and B.
21. The Perimeter of a rectangle
P=2(l+w)
61 - 67
A grouping of the members within a set based on a shared characteristic.
10
22. How many sides does a hexagon have?
Infinite.
6
Smallest positive integer
28
23. (x-y)²
P=2(l+w)
x²-2xy+y²
2^9 / 2 = 256
75:11
24. Product of any number and Ø is
288 (8 9 4)
Null
The longest arc between points A and B on a circle'S diameter.
Ø
25. 0^0
Undefined
37.5%
(amount of decrease/original price) x 100%
7 / 1000
26. What is a finite set?
x²-y²
A set with a number of elements which can be counted.
41 - 43 - 47
Edge³
27. Vertical lines
70
An infinite set.
Do not have slopes!
C = (pi)d
28. What is the coefficient of the x^2 term in the product of (x + 1)(x + 2)(x -1)?
10! / (10-3)! = 720
2
Two (Ø×2=Ø)
1/xn i.e. 5^-3 = 1/(5^3) = 1/ 125 = .008
29. The sum of all angles around a point
(a - b)^2
360°
Positive
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
30. 3 is the opposite of
130pi
3
Sum of digits is a multiple of 3 and the last digit is even.
x - x+1 - x+2
31. Consecutive integers
The second graph is less steep.
x - x+1 - x+2
2^9 / 2 = 256
an angle that is less than 90°
32. The larger the absolute value of the slope...
A chord is a line segment joining two points on a circle.
The steeper the slope.
Move the decimal point to the right x places
360/n
33. Define a 'monomial'
V=side³
A<-b
An expression with just one term (-6x - 2a^2)
6
34. Evaluate 3& 2/7 / 1/3
9 & 6/7
A= (1/2) b*h
An expression with just one term (-6x - 2a^2)
P(E) = ø
35. Whats the difference between factors and multiples?
Right
Factors are few - multiples are many.
6
x²-y²
36. To decrease a number by x%
1.0843 X 10^11
Multiply by 1-x% i.e. 100 x (1-50%)=100x.5=50
Diameter(Pi)
90
37. Describe the relationship between the graphs of x^2 and (1/2)x^2
A²+b²=c²
The interesection of A and B.
M
The second graph is less steep.
38. 1/8 in percent?
Infinite.
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)
Undefined
12.5%
39. What transformation occurs if point C is reflected over the x-axis and then the y-axis?
72
zero
A reflection about the axis.
A 30-60-90 triangle.
40. How many multiples does a given number have?
Infinite.
1
Undefined
y = 2x^2 - 3
41. Area of a triangle
A= (1/2) b*h
87.5%
x²-y²
1/x
42. Area of a circle
2 & 3/7
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)
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
(pi)r²
43. The ratio of the areas of two similar polygons is ...
18
Indeterminable.
... the square of the ratios of the corresponding sides.
F(x + c)
44. Area of a circle
x²+2xy+y²
Positive
A=pi*(r^2)
x^(4+7) = x^11
45. If a pair of parallel lines is cut by a transversal that'S not perpendicular - the sum of any acute angle and any obtuse angle is
The sum of the digits is a multiple of 9.
180
The interesection of A and B.
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)
46. The important properties of a 45-45-90 triangle?
5
10
The triangle is a right triangle. The triangle is isosceles (AC=BC). The ratio of the lengths of the three sides is x:x:xv2.
The overlapping sections.
47. Which is greater? 64^5 or 16^8
70
1:1:sqrt2
(rate)(time) d=rt
16^8 64^5 = (4^3)^5 = 4^15 16^8=(4^2)^8 = 4^16
48. An Angle that'S 180°
x^(2(4)) =x^8 = (x^4)^2
A 30-60-90 triangle.
Straight Angle
F(x) - c
49. the measure of a straight angle
180°
Distance=rate×time or d=rt
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
The set of output values for a function.
50. Simplify 4sqrt21 X 5sqrt2 / 10sqrt7
2sqrt6
1:sqrt3:2
10! / (10-3)! = 720
V=Lwh