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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. Positive integers that have exactly 2 positive divisors are
Prime numbers (2 - 3 - 5 - 7 - 11 - 13 - 17 - 19 - 23)
1.7
Edge³
(a - b)(a + b)

2. Simplify 9^(1/2) X 4^3 X 2^(-6)?
Its last two digits are divisible by 4.
12! / 5!7! = 792
3
P(E) = ø

3. Important properties of a 30-60-90 triangle?
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
1
True
Triangles with same measure and same side lengths.

4. In similar hexagons - the ratio of the areas is 16:25. What is the ratio of their corresponding sides?
4:5
3 - -3
A set with a number of elements which can be counted.
83.333%

5. First 10 prime #s
2 - 3 - 5 - 7 - 11 - 13 - 17 - 19 - 23 - 29
4.25 - 6 - 22
Prime numbers (2 - 3 - 5 - 7 - 11 - 13 - 17 - 19 - 23)
F(x) - c

6. 1/8 in percent?
12.5%
x = [(-b)+/- (sqrt b^2 - 4ac)]/2a
55%
(base*height) / 2

7. Which is greater? 27^(-4) or 9^(-8)
90°
3 - 4 - 5
27^(-4)
Subtract them. i.e (5^7)/(5^3)= 5^4

8. 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)?
54sqrt3. (divide the hexagon into 6 congruent equilateral triangles.
y = (x + 5)/2
The interesection of A and B.
Members or elements

9. a(b-c)
Ab-ac
A reflection about the axis.
x = [(-b)+/- (sqrt b^2 - 4ac)]/2a
16.6666%

10. 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)]?
53 - 59
True
A+c<b+c
(a - b)(a + b)

11. 200 <_ x <_ 300. How many values of x are divisible by 5 & 8?
3
Undefined - because we can'T divide by 0.
1
X

12. Can you add sqrt 3 and sqrt 5?
2(pi)r
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)
(amount of decrease/original price) x 100%
No - only like radicals can be added.

13. A number is divisible by 9 if...
Its divisible by 2 and by 3.
The sum of digits is divisible by 9.
(rate)(time) d=rt
x^(4+7) = x^11

14. binomial product of (x+y)(x-y)
2 - 3 - 5 - 7 - 11 - 13 - 17 - 19 - 23 - 29
An expression with just one term (-6x - 2a^2)
$3 -500 in the 9% and $2 -500 in the 7%.
x²-y²

15. If 4500 is invested at a simple interest rate of 6% - what is the value of the investment after 10 months?
C = 2(pi)r
4725
23 - 29
A-b is positive

16. The reciprocal of any non-zero number is
Can be negative - zero - or positive
1/x
A-b is negative
Expressing a number as the product of a decimal between 1 and 10 - and a power of 10.

17. If E is certain
Ab-ac
Ø
(x+y)(x-y)
P(E) = 1/1 = 1

18. the slope of a line in y=mx+b
5
Members or elements
M
.0004809 X 10^11

19. the measure of a straight angle
180°
12sqrt2
Members or elements
Even

20. If a<b - then
5 OR -5
A+c<b+c
2 & 3/7
Straight Angle

21. What is the intersection of A and B?
The set of elements found in both A and B.
Ø Ø=Ø
Ø=P(E)=1
Circumference = Diameter(pi). Use pythagorean theorem to find the diagonal of the square (the diameter).

22. For similar triangles - the ratio of their corresponding sides is 2:3. What is the ratio of their areas?
27^(-4)
Circumference = Diameter(pi). Use pythagorean theorem to find the diagonal of the square (the diameter).
4:9. The ratio of the areas of two similar triangles equals the square of the ratio of the corresponding sides.
Two (Ø×2=Ø)

23. factored binomial product of (x-y)²
3
All real numbers which can'T be expressed as a ratio of two integers - positive and negative (pi - -sqrt3)
28. n = 8 - k = 2. n! / k!(n-k)!
x²-2xy+y²

24. Ø is
Null
F(x-c)
Even
83.333%

25. binomial product of (x-y)²
31 - 37
(x+y)(x-y)
x^(6-3) = x^3
Two (Ø×2=Ø)

26. Evaluate and write as a mixed number: 2/7 - 3/21 + 2 & 4/14
A reflection about the axis.
2 & 3/7
Pi is the ratio of a circle'S circumference to its diameter.
26

27. What does scientific notation mean?
Null
The sum of digits is divisible by 9.
Expressing a number as the product of a decimal between 1 and 10 - and a power of 10.
4096

28. What is the 'Solution' for a system of linear equations?
The point of intersection of the systems.
2.592 kg
23 - 29
Members or elements

29. To increase a number by x%
A-b is negative
Multiply by 1+x% i.e. 100 x (1+50%)=100x1.5=150
70
Null

30. Area of a circle
A²+b²=c²
The set of elements found in both A and B.
The point of intersection of the systems.
A=pi*(r^2)

31. 70 < all primes< 80
20.5
Ø
71 - 73 - 79
x = [(-b)+/- (sqrt b^2 - 4ac)]/2a

32. 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?
1
$3 -500 in the 9% and $2 -500 in the 7%.
NOT A PRIME
Smallest positive integer

33. If a product of two numbers is Ø - one number must be
A reflection about the axis.
The sum of its digits is divisible by 3.
4725
Ø

34. 1 is the
The second graph is less steep.
= (actual decrease/Original amount) x 100%
y = (x + 5)/2
Smallest positive integer

35. The perimeter of a square is 48 inches. The length of its diagonal is:
A+c<b+c
3/2 - 5/3
Factors are few - multiples are many.
12sqrt2

36. Area of a Parallelogram:
Ø
A=(base)(height)
0
P(E) = number of favorable outcomes/total number of possible outcomes

37. Formula to find a circle'S circumference from its diameter?
The two xes after factoring.
11 - 13 - 17 - 19
13
C = (pi)d

38. Pythagorean theorem
A²+b²=c²
6
28. n = 8 - k = 2. n! / k!(n-k)!
A multiple of every integer

39. Ø Is
28. n = 8 - k = 2. n! / k!(n-k)!
(rate)(time) d=rt
Do not have slopes!
EVEN

40. The reciprocal of any non-zero #x is
10! / 3!(10-3)! = 120
All numbers multiples of 1.
1/x
y = 2x^2 - 3

41. x^4 + x^7 =
31 - 37
The last 2 digits are a multiple of 4. (i.e 144 .... 44 is a multiple of 4 - so 144 must also be a multiple of 4.)
x^(4+7) = x^11
P=4s (s=side)

42. When does a function automatically have a restricted domain (2)?
72
When we need to avoid having a zero in the denominator or avoid taking the square root of a number.
The set of elements found in both A and B.
3

43. Probability of E not occurring:
1 - P(E)
(b + c)
180
27^(-4)

44. A cylinder has surface area 22pi. If the cylinder has a height of 10 - what is its radius?
1 - 4 - 9 - 16 - 25 - 36 - 49 - 64 - 81 - 100 - 121 - 144 - 169 - 196 - 225
1
The objects within a set.
F(x) - c

45. (x^2)^4
Yes - like radicals can be added/subtracted.
x^(2(4)) =x^8 = (x^4)^2
A chord is a line segment joining two points on a circle.
Its last two digits are divisible by 4.

46. 25+2³
Smallest positive integer
28
1
A natural number greater than 1 that has no positive divisors other than 1 and itself

47. 2³×7³
(2x7)³
x²-2xy+y²
A central angle is an angle formed by 2 radii.
x(x - y + 1)

48. Legs: 3 - 4. Hypotenuse?
5
1:sqrt3:2
N! / (k!)(n-k)!
Smallest positive integer

49. What is the common monomial factor in the expression 4(c^3)d - (c^2)(d^2) + 2cd?
Cd
1/2 times 7/3
A reflection about the axis.
A=pi*(r^2)

50. Define a 'Term' -
(p + q)/5
Ø
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)
Ab=k (k is a constant)