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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. Ø Is
EVEN
The set of elements which can be found in either A or B.
87.5%
All the numbers on the number line (negative - rational - irrational - decimal - integer). All the numbers on the GRE are real. (-2 - 1 - .25 - 1/2 - pi)

2. 30 60 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)
3x - 4x - 5x
$3 -500 in the 9% and $2 -500 in the 7%.
10

3. The sum of the angles in a quadrilateral is
180°
0
360°
2

4. What is the third quartile of the following data set: 44 - 58 - 63 - 63 - 68 - 70 - 82
= (actual decrease/Original amount) x 100%
70
9
360/n

5. Simplify 4sqrt21 X 5sqrt2 / 10sqrt7
Two angles whose sum is 180.
2sqrt6
N! / (k!)(n-k)!
F(x-c)

6. 6w^2 - w - 15 = 0
3/2 - 5/3
Positive
4:5
(6 x 2)(sqrt3 x sqrt5) = 12sqrt15

7. (12sqrt15) / (2sqrt5) =
2sqrt6
(12/2) x (sqrt15 / sqrt5) = 6sqrt3
4.25 - 6 - 22
62.5%

8. If a is inversely porportional to b - what does it equal?
Ab+ac
Negative
A percent is a fraction whose denominator is 100.
Ab=k (k is a constant)

9. What are congruent triangles?
Even prime number
Triangles with same measure and same side lengths.
A<-b
2 & 3/7

10. Probability of E not occurring:
180°
Cross multiplication a/b=c/d 4/6=10/15 4(15)=6(10) 60=60
4725
1 - P(E)

11. formula for the volume of a cube
Can be negative - zero - or positive
V=side³
The greatest value minus the smallest.
2(pi)r

12. X is the opposite of
X
The set of input values for a function.
A tangent is a line that only touches one point on the circumference of a circle.
360°

13. binomial product of (x+y)(x-y)
x²-y²
A set with a number of elements which can be counted.
9 : 25
V=l×w×h

14. a^0 =
Multiply by 1-x% i.e. 100 x (1-50%)=100x.5=50
1
Distance=rate×time or d=rt
x²-2xy+y²

15. Simplify the expression (p^2 - q^2)/ -5(q - p)
Ab=k (k is a constant)
(p + q)/5
Its last two digits are divisible by 4.
1

16. 4.809 X 10^7 =
.0004809 X 10^11
180
5
2^9 / 2 = 256

17. There are 10 finalists for the school spelling bee. A first - second - and third place trophy will be awarded. In how many ways can the judges award the 3 prizes?
10! / (10-3)! = 720
The union of A and B.
V=l×w×h
F(x) - c

18. Time
4.25 - 6 - 22
1
(distance)/(rate) d/r
2²

19. What is the 'Solution' for a system of linear equations?
52
1
Factors are few - multiples are many.
The point of intersection of the systems.

20. Formula for the area of a circle?
3 - -3
D=rt so r= d/t and t=d/r
(2x7)³
A = pi(r^2)

21. If a is negative and n is even then an is (positive or negative?)
$3 -500 in the 9% and $2 -500 in the 7%.
y = 2x^2 - 3
6
An is positive

22. If a=-1 and b=3 - what is the value of (4(a^3)(b^2) - 12(a^2)(b^5)) / (16(a^3)(b^2))?
5 - 12 - 13
A-b is positive
20.5
y = (x + 5)/2

23. Area of a circle
(pi)r²
10
2²
Diameter(Pi)

24. Define a 'monomial'
x^(6-3) = x^3
An expression with just one term (-6x - 2a^2)
Triangles with same measure and same side lengths.
Its last two digits are divisible by 4.

25. For any number x
Can be negative - zero - or positive
The sum of digits is divisible by 9.
x²-y²
PEMDAS (Parentheses Exponents Multiplication/Division Addition/Subtraction)

26. 5/8 in percent?
(length)(width)(height)
62.5%
288 (8 9 4)
8

27. Convert 0.7% to a fraction.
7 / 1000
90°
Ab-ac
A multiple of every integer

28. factored binomial product of (x+y)²
Smallest positive integer
(distance)/(rate) d/r
x²+2xy+y²
180°

29. There are 10 finalists for the school spelling bee. A first - second - and third place trophy will be awarded. How many different people can get the three prizes?
10! / 3!(10-3)! = 120
16^8 64^5 = (4^3)^5 = 4^15 16^8=(4^2)^8 = 4^16
1/xn i.e. 5^-3 = 1/(5^3) = 1/ 125 = .008
The overlapping sections.

30. Ø is a multiple of
$11 -448
1
Every number
P(E) = number of favorable outcomes/total number of possible outcomes

31. 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?
75:11
An is positive
A grouping of the members within a set based on a shared characteristic.
Be Zero!

32. What are the real numbers?
y = (x + 5)/2
1
x - x+1 - x+2
All the numbers on the number line (negative - rational - irrational - decimal - integer). All the numbers on the GRE are real. (-2 - 1 - .25 - 1/2 - pi)

33. Obtuse Angle
F(x-c)
angle that is greater than 90° but less than 180°
2 - 3 - 5 - 7 - 11 - 13 - 17 - 19 - 23 - 29
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...

34. The perimeter of a square is 48 inches. The length of its diagonal is:
12sqrt2
8
D=rt so r= d/t and t=d/r
Pi(diameter)

35. Suppose that the graph of f(x) is the result of stretching y=x + 5 away from the x-axis by a factor of 2. What is the new equation for the graph f(x)?
y = (x + 5)/2
Indeterminable.
Factors are few - multiples are many.
A+c<b+c

36. Positive integers that have exactly 2 positive divisors are
Prime numbers (2 - 3 - 5 - 7 - 11 - 13 - 17 - 19 - 23)
71 - 73 - 79
No - only like radicals can be added.
3x - 4x - 5x

37. 5x^2 - 35x -55 = 0
5 - 12 - 13
[(7+ sqrt93) /2] - [(7 - sqrt93) / 2]
26
A natural number greater than 1 that has no positive divisors other than 1 and itself

38. If the 80th percentile of the measurements is 72degrees - about how many measurments are between 69 degrees and 72 degrees? Round your answer to the nearest tenth
Negative
Relationship cannot be determined (what if x is negative?)
An isosceles right triangle.
18

39. Probability of Event all cases
1.0843 X 10^11
Reciprocal
.0004809 X 10^11
Ø=P(E)=1

40. The sum of all angles around a point
360°
P=2(l+w)
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...
A 30-60-90 triangle.

41. 200 <_ x <_ 300. How many values of x are divisible by 5 & 8?
The union of A and B.
9 : 25
F(x) - c
3

42. The important properties of a 45-45-90 triangle?
500
20.5
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.
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

43. For what values should the domain be restricted for the function f(x) = sqrt(x + 8)
180°
A chord is a line segment joining two points on a circle.
8
F(x) - c

44. Describe the relationship between 3x^2 and 3(x - 1)^2
The graph of 3(x - 1)^2 is a translation (shift) of the graph one unit or space to the right.
When we need to avoid having a zero in the denominator or avoid taking the square root of a number.
Yes - because you can factor out a perfect square (36). Sqrt(36 x 2) = sqrt36 X sqrt2 = 6sqrt2.
Multiply by 1-x% i.e. 100 x (1-50%)=100x.5=50

45. 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?
Two (Ø×2=Ø)
The objects within a set.
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

46. What is a subset?
A grouping of the members within a set based on a shared characteristic.
1.0843 X 10^11
= 25%. = (actual increase/original amount) x 100% = 20/80 x 100% = 1/4 x 100% = 25%
zero

47. Define a 'Term' -
67 - 71 - 73
Yes - because you can factor out a perfect square (36). Sqrt(36 x 2) = sqrt36 X sqrt2 = 6sqrt2.
Null
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)

48. Which is greater? 64^5 or 16^8
P=4s (s=side)
5 - 12 - 13
x²+2xy+y²
16^8 64^5 = (4^3)^5 = 4^15 16^8=(4^2)^8 = 4^16

49. What is the surface area of a cylinder with radius 5 and height 8?
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...
130pi
A grouping of the members within a set based on a shared characteristic.
Ø

50. The Perimeter of a rectangle
An expression with just one term (-6x - 2a^2)
P=2(l+w)
1.7
Sum of digits is a multiple of 3 and the last digit is even.