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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. If you have a set of n objects - but you only want to order k of them - what formula do you use to determine the number of permutations?
N! / (n-k)!
... the square of the ratios of the corresponding sides.
1 & 37/132
The overlapping sections.

2. 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?
F(x + c)
52
P= 2L + 2w
10! / 3!(10-3)! = 120

3. Formula to find a circle'S circumference from its diameter?
$3 -500 in the 9% and $2 -500 in the 7%.
C = (pi)d
16^8 64^5 = (4^3)^5 = 4^15 16^8=(4^2)^8 = 4^16
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

4. 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?
360°
26
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 input values for a function.

5. What are the roots of the quadrinomial x^2 + 2x + 1?
y2-y1/x2-x1
1 - 4 - 9 - 16 - 25 - 36 - 49 - 64 - 81 - 100 - 121 - 144 - 169 - 196 - 225
1:sqrt3:2
The two xes after factoring.

6. Legs 5 - 12. Hypotenuse?
13
D/t (distance)/(time)
The empty set - denoted by a circle with a diagonal through it.
Undefined

7. 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))?
The graph of 3(x - 1)^2 is a translation (shift) of the graph one unit or space to the right.
4.25 - 6 - 22
Positive
20.5

8. In a Rectangle - each angles measures
72
75:11
The interesection of A and B.
90°

9. Area of a circle
A+c<b+c
1/x
(pi)r²
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...

10. What is the common monomial factor in the expression 4(c^3)d - (c^2)(d^2) + 2cd?
Reciprocal
The set of elements found in both A and B.
Two angles whose sum is 180.
Cd

11. Define a 'monomial'
Move the decimal point to the right x places
An expression with just one term (-6x - 2a^2)
[(7+ sqrt93) /2] - [(7 - sqrt93) / 2]
Multiply by 1-x% i.e. 100 x (1-50%)=100x.5=50

12. Circumference of a circle
Pi(diameter)
41 - 43 - 47
2 & 3/7
Lies opposite the greater angle

13. If a is positive - an is
An isosceles right triangle.
1
Positive
A=pi*(r^2)

14. What are 'Supplementary angles?'
All numbers which can be expressed as a ratio of two integers. (All integers and fractions.) (-2 - 1 - .25 - 1/2)
2(pi)r
Two angles whose sum is 180.
(rate)(time) d=rt

15. In a rectangle - all angles are
67 - 71 - 73
Right
Ø
Even prime number

16. If a<b - then
x²+2xy+y²
A+c<b+c
180
A²+b²=c²

17. What number between 70 & 75 - inclusive - has the greatest number of factors?
x²-2xy+y²
P=2(l+w)
72
Members or elements

18. Simplify the expression [(b^2 - c^2) / (b - c)]
Relationship cannot be determined (what if x is negative?)
2 - 3 - 5 - 7 - 11 - 13 - 17 - 19 - 23 - 29
(b + c)
C = (pi)d

19. What is the side length of an equilateral triangle with altitude 6?
No - only like radicals can be added.
Parallelogram
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...
360/n

20. 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?
7 / 1000
10! / 3!(10-3)! = 120
1
The graph of 3(x - 1)^2 is a translation (shift) of the graph one unit or space to the right.

21. What is the 'Range' of a series of numbers?
The greatest value minus the smallest.
A = pi(r^2)
Cd
2 & 3/7

22. Probability of Event all cases
Can be negative - zero - or positive
x²-2xy+y²
Ø=P(E)=1
Positive

23. Dividing by a number is the same as multiplying it by its
1
A-b is negative
Reciprocal
Every number

24. A prime number (or a prime)
x²-2xy+y²
23 - 29
A-b is positive
A natural number greater than 1 that has no positive divisors other than 1 and itself

25. What is the 'Solution' for a system of linear equations?
90pi
2 & 3/7
Positive or Negative
The point of intersection of the systems.

26. (x+y)²
Straight Angle
x²+2xy+y²
90°
A<-b

27. What are congruent triangles?
Triangles with same measure and same side lengths.
26
1
0

28. What is it called when a point is reflected to the quadrant opposite it (i.e. I to III or II to IV)?
Negative
Factors are few - multiples are many.
A reflection about the origin.
(2x7)³

29. How do you solve proportions? a/b=c/d
Cross multiplication a/b=c/d 4/6=10/15 4(15)=6(10) 60=60
6
Cd
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.

30. binomial product of (x-y)²
(x+y)(x-y)
Even
Triangles with same measure and same side lengths.
Ø

31. If a lamp decreases to $80 - from $100 - what is the decrease in price?
12sqrt2
All real numbers which can'T be expressed as a ratio of two integers - positive and negative (pi - -sqrt3)
= (actual decrease/Original amount) x100% = 20/100x100% = 20%
(a + b)^2

32. What is the set of elements which can be found in either A or B?
The union of A and B.
D=rt so r= d/t and t=d/r
1
Its last two digits are divisible by 4.

33. 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?
1/xn i.e. 5^-3 = 1/(5^3) = 1/ 125 = .008
9 : 25
360°
An infinite set.

34. Evaluate (4^3)^2
4096
(length)(width)(height)
2sqrt6
62.5%

35. A number is divisible by 4 is...
Its last two digits are divisible by 4.
y2-y1/x2-x1
Positive
M= (Y1-Y2)/(X1-X2)

36. Number of degrees in a triangle
A=pi*(r^2)
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)
An isosceles right triangle.
180

37. 30 60 90
180
= 25%. = (actual increase/original amount) x 100% = 20/80 x 100% = 1/4 x 100% = 25%
23 - 29
3 - 4 - 5

38. 8.84 / 5.2
1.7
3
The set of input values for a function.
An is positive

39. Ø is a multiple of
Two (Ø×2=Ø)
3
5
3/2 - 5/3

40. To decrease a number by x%
7 / 1000
Multiply by 1-x% i.e. 100 x (1-50%)=100x.5=50
The set of input values for a function.
20.5

41. Distance
13
= 25%. = (actual increase/original amount) x 100% = 20/80 x 100% = 1/4 x 100% = 25%
An isosceles right triangle.
(rate)(time) d=rt

42. Find distance when given time and rate
(a - b)(a + b)
An is positive
D=rt so r= d/t and t=d/r
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.

43. A company places a 6-symbol code on each product. The code consists of the letter T - followed by 3 numerical digits - and then 2 consonants (Y is a conson). How many codes are possible?
[(7+ sqrt93) /2] - [(7 - sqrt93) / 2]
The set of input values for a function.
441000 = 1 10 10 10 21 * 21
4.25 - 6 - 22

44. Volume of a cube
Edge³
The greatest value minus the smallest.
V=Lwh
61 - 67

45. 40 < all primes<50
A central angle is an angle formed by 2 radii.
360°
180°
41 - 43 - 47

46. 7 divided by Ø
Edge³
37.5%
Null
5 - 12 - 13

47. factored binomial product of (x-y)²
zero
Pi is the ratio of a circle'S circumference to its diameter.
x²-2xy+y²
9 : 25

48. Ø Is
3
(p + q)/5
12.5%
EVEN

49. Formula to calculate arc length?
Sum of digits is a multiple of 3 and the last digit is even.
The set of input values for a function.
Arc length = (n/360) x pi(2r) where n is the number of degrees.
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.

50. Convert 0.7% to a fraction.
(x+y)(x+y)
Arc length = (n/360) x pi(2r) where n is the number of degrees.
Factors are few - multiples are many.
7 / 1000