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GRE Math: All In One

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. What is the 'domain' of a function?
The overlapping sections.
1
V=Lwh
The set of input values for a function.

2. The Denominator can never
A percent is a fraction whose denominator is 100.
3 - 4 - 5
Sector area = (n/360) X (pi)r^2
Be Zero!

3. Suppose that the graph of f(x) is the result of sliding the graph of y=2x^2 down 3 units of spaces. What is the new equation?
1/2 times 7/3
Every number
y = 2x^2 - 3
(x+y)(x+y)

4. If r - t - s & u are distinct - consecutive prime numbers - less than 31 - which of the following could be an average of them (4 - 4.25 - 6 - 9 - 24 - 22 - 24)
441000 = 1 10 10 10 21 * 21
Lies opposite the greater angle
Its last two digits are divisible by 4.
4.25 - 6 - 22

5. Formula for the area of a sector of a circle?
48
27^(-4)
Sector area = (n/360) X (pi)r^2
The shortest arc between points A and B on a circle'S diameter.

6. What is an isoceles triangle?
Two equal sides and two equal angles.
Its divisible by 2 and by 3.
Ø Ø=Ø
Cd

7. What are 'Supplementary angles?'
Two angles whose sum is 180.
3
A reflection about the axis.
A chord is a line segment joining two points on a circle.

8. Any Horizontal line slope
Cross multiplication a/b=c/d 4/6=10/15 4(15)=6(10) 60=60
zero
7 / 1000
an angle that is less than 90°

9. What is a set with no members called?
27^(-4)
55%
The empty set - denoted by a circle with a diagonal through it.
4:5

10. Ø²
Ø
P= 2L + 2w
x²-2xy+y²
2 - 3 - 5 - 7 - 11 - 13 - 17 - 19 - 23 - 29

11. (x-y)(x+y)
1
No - only like radicals can be added.
x²-y²
an angle that is less than 90°

12. The sum of all angles around a point
360°
1.7
1/x
Two angles whose sum is 180.

13. What is an arc of a circle?
An arc is a portion of a circumference of a circle.
Its last two digits are divisible by 4.
1
500

14. Ø Is
(a - b)^2
The interesection of A and B.
90pi
EVEN

15. (x-y)²
x²-2xy+y²
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.
x(x - y + 1)
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.)

16. How to determine percent decrease?
3
(amount of decrease/original price) x 100%
288 (8 9 4)
(a + b)^2

17. P and r are factors of 100. What is greater - pr or 100?
Its last two digits are divisible by 4.
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)
Straight Angle
Indeterminable.

18. Legs 6 - 8. Hypotenuse?
Even prime number
Be Zero!
10
F(x-c)

19. 10^6 has how many zeroes?
All numbers multiples of 1.
Move the decimal point to the right x places
6
The direction of the inequality is reversed.

20. The sum of the angles in a quadrilateral is
16^8 64^5 = (4^3)^5 = 4^15 16^8=(4^2)^8 = 4^16
360°
(a + b)^2
an angle that is less than 90°

21. What is the graph of f(x) shifted left c units or spaces?
F(x + c)
M= (Y1-Y2)/(X1-X2)
Add them. i.e. (5^7) * (5^3) = 5^10
x²-2xy+y²

22. What are the smallest three prime numbers greater than 65?
V=l×w×h
A²+b²=c²
A set with no members - denoted by a circle with a diagonal through it.
67 - 71 - 73

23. How many sides does a hexagon have?
Pi is the ratio of a circle'S circumference to its diameter.
x(x - y + 1)
6
P=2(l+w)

24. 7 divided by Ø
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)
Arc length = (n/360) x pi(2r) where n is the number of degrees.
Smallest positive integer
Null

25. If a product of two numbers is Ø - one number must be
Ø
4.25 - 6 - 22
360°
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.)

26. Volume of a cube
The point of intersection of the systems.
Negative
1
Edge³

27. Perimeter of a rectangle
54sqrt3. (divide the hexagon into 6 congruent equilateral triangles.
(amount of decrease/original price) x 100%
The sum of its digits is divisible by 3.
P= 2L + 2w

28. 1 is the
Its divisible by 2 and by 3.
180 degrees
Smallest positive integer
9 & 6/7

29. Probability of Event all cases
Do not have slopes!
Ø=P(E)=1
67 - 71 - 73
Move the decimal point to the right x places

30. Define a 'Term' -
The greatest value minus the smallest.
A central angle is an angle formed by 2 radii.
72
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. In a triangle where the two legs are 4 and 3 - what is the value of a line directly intersecting the middle coming from the meeting point of the two legs?
Can be negative - zero - or positive
360°
53 - 59
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

32. What is the graph of f(x) shifted upward c units or spaces?
= (actual decrease/Original amount) x100% = 20/100x100% = 20%
F(x) + c
Subtract them. i.e (5^7)/(5^3)= 5^4
Every number

33. In similar hexagons - the ratio of the areas is 16:25. What is the ratio of their corresponding sides?
4:5
13
27^(-4)
An angle which is supplementary to an interior angle.

34. If 10800 is invested at a simple interest rate of 4% - what is the value of the investment after 18 months?
The set of output values for a function.
$11 -448
The graph of 3(x - 1)^2 is a translation (shift) of the graph one unit or space to the right.
The two xes after factoring.

35. 3/8 in percent?
Even prime number
N! / (k!)(n-k)!
37.5%
3 - -3

36. 1/Ø=null If a>b then
A<-b
The sum of the digits is a multiple of 9.
Yes - because you can factor out a perfect square (36). Sqrt(36 x 2) = sqrt36 X sqrt2 = 6sqrt2.
90

37. Area of a triangle
A= (1/2) b*h
10! / (10-3)! = 720
Every number
62.5%

38. 4.809 X 10^7 =
.0004809 X 10^11
C=2 x pi x r OR pi x D
No - only like radicals can be added.
(a - b)(a + b)

39. Formula to calculate arc length?
Arc length = (n/360) x pi(2r) where n is the number of degrees.
(12/2) x (sqrt15 / sqrt5) = 6sqrt3
An expression with just one term (-6x - 2a^2)
2

40. Pi is a ratio of what to what?

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41. Simplify 4sqrt21 X 5sqrt2 / 10sqrt7
A = length x width
3 - -3
1/x
2sqrt6

42. The negative exponent x?n is equivalent to what?
1/xn i.e. 5^-3 = 1/(5^3) = 1/ 125 = .008
2^9 / 2 = 256
The longest side is opposite the largest (biggest) angle. The shortest side is opposite the smallest angle. Sides with the same lengths are opposite angles with the same measure.
Negative

43. (x+y)²
V=side³
The union of A and B.
x²+2xy+y²
N! / (k!)(n-k)!

44. If a is positive - an is
P=2(l+w)
Positive
F(x) - c
360/n

45. The important properties of a 45-45-90 triangle?
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.
NOT A PRIME
2²
The overlapping sections.

46. Hector invested $6000. Part was invested in account with 9% simple annual interest - and the rest in account with 7% simple annual interest. If he earned $490 in the first year of these investments - how much did he invest in each account?
2 & 3/7
90pi
$3 -500 in the 9% and $2 -500 in the 7%.
0

47. 6w^2 - w - 15 = 0
3/2 - 5/3
2(pi)r
All real numbers which can'T be expressed as a ratio of two integers - positive and negative (pi - -sqrt3)
The steeper the slope.

48. Convert 0.7% to a fraction.
The set of input values for a function.
7 / 1000
2
= 25%. = (actual increase/original amount) x 100% = 20/80 x 100% = 1/4 x 100% = 25%

49. What is the 'Range' of a series of numbers?
The overlapping sections.
x²+2xy+y²
The sum of its digits is divisible by 3.
The greatest value minus the smallest.

50. What is the slope of a vertical line?

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