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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. In a Rectangle - each angles measures
An arc is a portion of a circumference of a circle.
Be Zero!
90°
Cross multiplication a/b=c/d 4/6=10/15 4(15)=6(10) 60=60

2. If a product of two numbers is Ø - one number must be
90
360/n
Edge³
Ø

3. 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
18
8
9
Right

4. If 10800 is invested at a simple interest rate of 4% - what is the value of the investment after 18 months?
Arc length = (n/360) x pi(2r) where n is the number of degrees.
(base*height) / 2
$11 -448
7 / 1000

5. 1/6 in percent?
Yes - because you can factor out a perfect square (36). Sqrt(36 x 2) = sqrt36 X sqrt2 = 6sqrt2.
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)
16.6666%
A chord is a line segment joining two points on a circle.

6. If Madagascar'S exports totaled 1.3 billion in 2009 - and 4% came from China - what was the value in millions of the country'S exports to China?
Do not have slopes!
2.592 kg
52
An expression with just one term (-6x - 2a^2)

7. Slope of any line that goes down as you move from left to right is
Negative
55%
Two angles whose sum is 90.
12! / 5!7! = 792

8. The percent decrease of a quantity
An infinite set.
A subset.
= (actual decrease/Original amount) x 100%
All numbers multiples of 1.

9. What are the integers?
All numbers multiples of 1.
Infinite.
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...
Members or elements

10. For any number x
Can be negative - zero - or positive
4725
(a + b)^2
3

11. What is the graph of f(x) shifted left c units or spaces?
An angle which is supplementary to an interior angle.
F(x + c)
A reflection about the origin.
1/2 times 7/3

12. 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
y2-y1/x2-x1
1
180
y/x is a constant

13. If a is negative and n is even then an is (positive or negative?)
A tangent is a line that only touches one point on the circumference of a circle.
83.333%
1
An is positive

14. factored binomial product of (x-y)²
x²-2xy+y²
A<-b
Ø Ø=Ø
An arc is a portion of a circumference of a circle.

15. What is the graph of f(x) shifted upward c units or spaces?
The greatest value minus the smallest.
1
90
F(x) + c

16. 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?
Do not have slopes!
y = 2x^2 - 3
The set of elements which can be found in either A or B.
Two angles whose sum is 90.

17. Volume of a rectangular box
An angle which is supplementary to an interior angle.
V=Lwh
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)
27

18. Describe the relationship between the graphs of x^2 and (1/2)x^2
$3 -500 in the 9% and $2 -500 in the 7%.
180
The interesection of A and B.
The second graph is less steep.

19. Ø is a multiple of
A set with no members - denoted by a circle with a diagonal through it.
Two (Ø×2=Ø)
Every number
Members or elements

20. When does a function automatically have a restricted domain (2)?
.0004809 X 10^11
Parallelogram
When we need to avoid having a zero in the denominator or avoid taking the square root of a number.
1:sqrt3:2

21. Ø Is
No - only like radicals can be added.
Two (Ø×2=Ø)
EVEN
The steeper the slope.

22. The Perimeter of a rectangle
The steeper the slope.
P=2(l+w)
Even
y = (x + 5)/2

23. Volume of a rectangular solid
P= 2L + 2w
9
(length)(width)(height)
(a - b)^2

24. Simplify the expression (p^2 - q^2)/ -5(q - p)
A-b is positive
Multiply by 1+x% i.e. 100 x (1+50%)=100x1.5=150
360°
(p + q)/5

25. When dividing exponential #s with the same base - you do this to the exponents...
5 OR -5
360°
Subtract them. i.e (5^7)/(5^3)= 5^4
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)

26. A quadrilateral where two diagonals bisect each other
3x - 4x - 5x
Parallelogram
x²-2xy+y²
Negative

27. The product of odd number of negative numbers
Negative
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.)
Cross multiplication a/b=c/d 4/6=10/15 4(15)=6(10) 60=60
2²

28. 10<all primes<20
55%
11 - 13 - 17 - 19
3x - 4x - 5x
1.0843 X 10^11

29. What is the set of elements which can be found in either A or B?
The sum of the digits is a multiple of 9.
3x - 4x - 5x
The union of A and B.
A chord is a line segment joining two points on a circle.

30. Area of a triangle?
(base*height) / 2
The objects within a set.
P= 2L + 2w
Cross multiplication a/b=c/d 4/6=10/15 4(15)=6(10) 60=60

31. Can you simplify sqrt72?
12sqrt2
The sum of digits is divisible by 9.
Yes - because you can factor out a perfect square (36). Sqrt(36 x 2) = sqrt36 X sqrt2 = 6sqrt2.
A reflection about the origin.

32. How many multiples does a given number have?
The empty set - denoted by a circle with a diagonal through it.
Infinite.
F(x) + c
4096

33. Can you add sqrt 3 and sqrt 5?
an angle that is less than 90°
No - only like radicals can be added.
The set of elements which can be found in either A or B.
Positive or Negative

34. Circumference of a Circle
No - only like radicals can be added.
The two xes after factoring.
C=2 x pi x r OR pi x D
70

35. 8.84 / 5.2
Ab+ac
y/x is a constant
[(7+ sqrt93) /2] - [(7 - sqrt93) / 2]
1.7

36. If a is inversely porportional to b - what does it equal?
A = pi(r^2)
Ab=k (k is a constant)
Be Zero!
Members or elements

37. (x^2)^4
(a + b)^2
10
x^(2(4)) =x^8 = (x^4)^2
(x+y)(x-y)

38. If y is directly proportional to x - what does it equal?
M= (Y1-Y2)/(X1-X2)
y/x is a constant
Lies opposite the greater angle
The direction of the inequality is reversed.

39. Reduce: 4.8 : 0.8 : 1.6
D/t (distance)/(time)
x^(2(4)) =x^8 = (x^4)^2
6 : 1 : 2
Add them. i.e. (5^7) * (5^3) = 5^10

40. Ø is a multiple of
[(7+ sqrt93) /2] - [(7 - sqrt93) / 2]
Every number
4:5
Yes - like radicals can be added/subtracted.

41. a/Ø
Two angles whose sum is 90.
12.5%
No - only like radicals can be added.
Null

42. The four angles around a point measure y - 2y - 35 and 55 respectively. What is the value of y?
The interesection of A and B.
A natural number greater than 1 that has no positive divisors other than 1 and itself
90
A reflection about the origin.

43. What is the order of operations?
2²
zero
PEMDAS (Parentheses Exponents Multiplication/Division Addition/Subtraction)
23 - 29

44. What is a tangent?
A tangent is a line that only touches one point on the circumference of a circle.
Add them. i.e. (5^7) * (5^3) = 5^10
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...
Do not have slopes!

45. How to find the circumference of a circle which circumscribes a square?
An angle which is supplementary to an interior angle.
Positive
Circumference = Diameter(pi). Use pythagorean theorem to find the diagonal of the square (the diameter).
Ab=k (k is a constant)

46. An Angle that'S 180°
Straight Angle
180 degrees
x - x(SR3) - 2x
2^9 / 2 = 256

47. The negative exponent x?n is equivalent to what?
A subset.
A percent is a fraction whose denominator is 100.
Even
1/xn i.e. 5^-3 = 1/(5^3) = 1/ 125 = .008

48. Formula for the area of a circle?
A = pi(r^2)
0
x - x+1 - x+2
Subtract them. i.e (5^7)/(5^3)= 5^4

49. factored binomial product of (x+y)²
23 - 29
All real numbers which can'T be expressed as a ratio of two integers - positive and negative (pi - -sqrt3)
The interesection of A and B.
x²+2xy+y²

50. What is a subset?
Positive
Smallest positive integer
Even prime number
A grouping of the members within a set based on a shared characteristic.