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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. Describe the relationship between the graphs of x^2 and (1/2)x^2
V=l×w×h
1
Indeterminable.
The second graph is less steep.

2. How to determine percent decrease?
7 / 1000
(amount of decrease/original price) x 100%
1
288 (8 9 4)

3. Area of a Parallelogram:
X
A=(base)(height)
Be Zero!
Relationship cannot be determined (what if x is negative?)

4. When does a function automatically have a restricted domain (2)?
18
A-b is positive
When we need to avoid having a zero in the denominator or avoid taking the square root of a number.
20.5

5. 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?
441000 = 1 10 10 10 21 * 21
3
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.
1

6. What are the real numbers?
4725
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)
1.7
... the square of the ratios of the corresponding sides.

7. What are the roots of the quadrinomial x^2 + 2x + 1?
27^(-4)
The two xes after factoring.
Positive
55%

8. What is the surface area of a cylinder with radius 5 and height 8?
x = [(-b)+/- (sqrt b^2 - 4ac)]/2a
130pi
Cd
48

9. The important properties of a 45-45-90 triangle?
NOT A PRIME
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 greatest value minus the smallest.
V=Lwh

10. 0^0
Undefined
Edge³
288 (8 9 4)
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)

11. What is the coefficient of the x^2 term in the product of (x + 1)(x + 2)(x -1)?
Two angles whose sum is 180.
2
The set of input values for a function.
P=4s (s=side)

12. Acute Angle
54sqrt3. (divide the hexagon into 6 congruent equilateral triangles.
Multiply by 1-x% i.e. 100 x (1-50%)=100x.5=50
72
an angle that is less than 90°

13. What is the 'domain' of a function?
x²-y²
The set of input values for a function.
Ø=P(E)=1
23 - 29

14. For any number x
55%
Ø Ø=Ø
1
Can be negative - zero - or positive

15. What is a minor arc?

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16. What is a major arc?

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17. the slope of a line in y=mx+b
M
x²+2xy+y²
2^9 / 2 = 256
3x - 4x - 5x

18. 1/Ø=null If a>b then
A<-b
1:sqrt3:2
Sector area = (n/360) X (pi)r^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)

19. 1/8 in percent?
360°
12.5%
6 : 1 : 2
F(x-c)

20. Circumference of a Circle
C=2 x pi x r OR pi x D
x²-y²
A central angle is an angle formed by 2 radii.
F(x + c)

21. What are the smallest three prime numbers greater than 65?
67 - 71 - 73
The two xes after factoring.
A natural number greater than 1 that has no positive divisors other than 1 and itself
A tangent is a line that only touches one point on the circumference of a circle.

22. Legs 5 - 12. Hypotenuse?
13
Lies opposite the greater angle
31 - 37
Ø

23. What are congruent triangles?
Triangles with same measure and same side lengths.
Undefined
V=l×w×h
A = pi(r^2)

24. What are complementary angles?
Two angles whose sum is 90.
1/x
A multiple of every integer
An is positive

25. Ø divided by 7
1
P(E) = ø
Ø
[(7+ sqrt93) /2] - [(7 - sqrt93) / 2]

26. Evaluate 3& 2/7 / 1/3
An isosceles right triangle.
9 & 6/7
A = length x width
Positive or Negative

27. T or F? Given d -e &f =/ 0 - [(d^3)e(f^5)] / 2d(e^3) / [3(d^2)(e^3)(f^7)] / [6(e^5)(f^2)]?
Pi(diameter)
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.
True
Move the decimal point to the right x places

28. A number is divisible by 9 if...
4725
Can be negative - zero - or positive
The sum of digits is divisible by 9.
75:11

29. a>b then a - b is positive or negative?
90pi
(a - b)^2
A-b is positive
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

30. 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?
Ø
10! / (10-3)! = 720
1
Reciprocal

31. 8.84 / 5.2
1.7
180
The two xes after factoring.
(n-2) x 180

32. (x-y)(x+y)
EVEN
2^9 / 2 = 256
x²-y²
The longest arc between points A and B on a circle'S diameter.

33. In similar hexagons - the ratio of the areas is 16:25. What is the ratio of their corresponding sides?
Factors are few - multiples are many.
4:5
11 - 13 - 17 - 19
23 - 29

34. 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?
D=rt so r= d/t and t=d/r
All numbers multiples of 1.
No - only like radicals can be added.
$3 -500 in the 9% and $2 -500 in the 7%.

35. 20<all primes<30
Do not have slopes!
The point of intersection of the systems.
23 - 29
2

36. Area of a rectangle
F(x-c)
A = length x width
NOT A PRIME
y/x is a constant

37. What is the common monomial factor in the expression 4(c^3)d - (c^2)(d^2) + 2cd?
Cd
9
A reflection about the axis.
(12/2) x (sqrt15 / sqrt5) = 6sqrt3

38. The Denominator can never
Be Zero!
10
31 - 37
x^(2(4)) =x^8 = (x^4)^2

39. 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)
x²-2xy+y²
4.25 - 6 - 22
An angle which is supplementary to an interior angle.
Straight Angle

40. Formula to calculate arc length?
6
y/x is a constant
Arc length = (n/360) x pi(2r) where n is the number of degrees.
Indeterminable.

41. Suppose you have a set of n objects - and you want to select k of them - but the order doesn'T matter. What formula do you use to determine the number of combinations of n objects taken k at a time?
N! / (k!)(n-k)!
(amount of decrease/original price) x 100%
9 : 25
441000 = 1 10 10 10 21 * 21

42. binomial product of (x+y)²
P= 2L + 2w
0
(x+y)(x+y)
[(7+ sqrt93) /2] - [(7 - sqrt93) / 2]

43. Time
52
y = 2x^2 - 3
(distance)/(rate) d/r
A=(base)(height)

44. For similar triangles - the ratio of their corresponding sides is 2:3. What is the ratio of their areas?
The set of elements found in both A and B.
The empty set - denoted by a circle with a diagonal through it.
4:9. The ratio of the areas of two similar triangles equals the square of the ratio of the corresponding sides.
37.5%

45. 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))?
(2x7)³
$3 -500 in the 9% and $2 -500 in the 7%.
Two angles whose sum is 180.
20.5

46. Circumference of a circle?
A central angle is an angle formed by 2 radii.
180
Diameter(Pi)
12.5%

47. Legs: 3 - 4. Hypotenuse?
5
V=Lwh
A<-b
$11 -448

48. Volume of a cube
Edge³
Yes - like radicals can be added/subtracted.
Parallelogram
A set with no members - denoted by a circle with a diagonal through it.

49. What is the name for a grouping of the members within a set based on a shared characteristic?
A subset.
54sqrt3. (divide the hexagon into 6 congruent equilateral triangles.
The direction of the inequality is reversed.
(12/2) x (sqrt15 / sqrt5) = 6sqrt3

50. 40 < all primes<50
4096
41 - 43 - 47
5
2 & 3/7