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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. The negative exponent x?n is equivalent to what?
x²-2xy+y²
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.
10! / 3!(10-3)! = 120
1/xn i.e. 5^-3 = 1/(5^3) = 1/ 125 = .008

2. What is the 'Solution' for a set of inequalities.
The overlapping sections.
1
The steeper the slope.
x^(4+7) = x^11

3. 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?
x - x+1 - x+2
F(x) - c
y = (x + 5)/2
52

4. P and r are factors of 100. What is greater - pr or 100?
A tangent is a line that only touches one point on the circumference of a circle.
Indeterminable.
= (actual decrease/Original amount) x100% = 20/100x100% = 20%
Arc length = (n/360) x pi(2r) where n is the number of degrees.

5. Which is greater? 64^5 or 16^8
16^8 64^5 = (4^3)^5 = 4^15 16^8=(4^2)^8 = 4^16
The empty set - denoted by a circle with a diagonal through it.
Ø Ø=Ø
Straight Angle

6. 30 60 90
V=side³
Expressing a number as the product of a decimal between 1 and 10 - and a power of 10.
3 - 4 - 5
Ø

7. To multiply a number by 10^x
(x+y)(x-y)
Move the decimal point to the right x places
288 (8 9 4)
52

8. If y is directly proportional to x - what does it equal?
5 - 12 - 13
3
y/x is a constant
The empty set - denoted by a circle with a diagonal through it.

9. Pi is a ratio of what to what?

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10. Simplify 9^(1/2) X 4^3 X 2^(-6)?
x²-2xy+y²
A set with no members - denoted by a circle with a diagonal through it.
3
The set of input values for a function.

11. Convert 0.7% to a fraction.
4725
7 / 1000
(a + b)^2
x²-2xy+y²

12. When does a function automatically have a restricted domain (2)?
When we need to avoid having a zero in the denominator or avoid taking the square root of a number.
Ø
Undefined
y = (x + 5)/2

13. formula for the volume of a cube
Distance=rate×time or d=rt
A grouping of the members within a set based on a shared characteristic.
V=side³
(2x7)³

14. What is the empty set?
2.592 kg
12sqrt2
A set with a number of elements which can be counted.
A set with no members - denoted by a circle with a diagonal through it.

15. How do you solve proportions? a/b=c/d
Ab+ac
2.592 kg
Cross multiplication a/b=c/d 4/6=10/15 4(15)=6(10) 60=60
x^(2(4)) =x^8 = (x^4)^2

16. A brick with dimensions 10. 15 and 25 weighs 1.5 kg. A second brick (same density) has dimensions 12 - 18 - and 30. What is the weight of the second brick?
2.592 kg
Ø=P(E)=1
V=side³
y2-y1/x2-x1

17. What is the intersection of A and B?
2.592 kg
48
The set of elements found in both A and B.
The direction of the inequality is reversed.

18. What is a set with no members called?
x - x+1 - x+2
y2-y1/x2-x1
A percent is a fraction whose denominator is 100.
The empty set - denoted by a circle with a diagonal through it.

19. Dividing by a number is the same as multiplying it by its
Reciprocal
61 - 67
Subtract them. i.e (5^7)/(5^3)= 5^4
Ø

20. What percent of 40 is 22?
[(7+ sqrt93) /2] - [(7 - sqrt93) / 2]
55%
Null
A grouping of the members within a set based on a shared characteristic.

21. What are the integers?
x - x(SR3) - 2x
All numbers multiples of 1.
A reflection about the origin.
No - only like radicals can be added.

22. 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)
Parallelogram
360°
4.25 - 6 - 22
The second graph is less steep.

23. What is an arc of a circle?
An arc is a portion of a circumference of a circle.
(distance)/(rate) d/r
180 degrees
The set of input values for a function.

24. Can you add sqrt 3 and sqrt 5?
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)
1
No - only like radicals can be added.
(12/2) x (sqrt15 / sqrt5) = 6sqrt3

25. If a is negative and n is even then an is (positive or negative?)
Expressing a number as the product of a decimal between 1 and 10 - and a power of 10.
Its last two digits are divisible by 4.
An is positive
7 / 1000

26. Positive integers that have exactly 2 positive divisors are
1
Prime numbers (2 - 3 - 5 - 7 - 11 - 13 - 17 - 19 - 23)
F(x-c)
ODD number

27. Find the surface area of a cylinder with radius 3 and height 12.
(a - b)(a + b)
x - x+1 - x+2
5 - 12 - 13
90pi

28. What is the measure of an exterior angle of a regular pentagon?
Expressing a number as the product of a decimal between 1 and 10 - and a power of 10.
(2x7)³
1
72

29. What transformation occurs if point C is reflected over the x-axis and then the y-axis?
Infinite.
P=2(l+w)
X
A reflection about the axis.

30. What is a percent?
55%
A percent is a fraction whose denominator is 100.
0
The direction of the inequality is reversed.

31. 60 < all primes <70
180
x^(4+7) = x^11
(a - b)(a + b)
61 - 67

32. What are congruent triangles?
The set of elements found in both A and B.
Its last two digits are divisible by 4.
Triangles with same measure and same side lengths.
(length)(width)(height)

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?
P= 2L + 2w
EVEN
9 : 25
61 - 67

34. If 10800 is invested at a simple interest rate of 4% - what is the value of the investment after 18 months?
$11 -448
P=4s (s=side)
angle that is greater than 90° but less than 180°
[(7+ sqrt93) /2] - [(7 - sqrt93) / 2]

35. Ø Is
X
EVEN
288 (8 9 4)
360/n

36. 30 60 90
A reflection about the axis.
71 - 73 - 79
F(x-c)
x - x(SR3) - 2x

37. If a<b - then
A natural number greater than 1 that has no positive divisors other than 1 and itself
A+c<b+c
53 - 59
70

38. a^2 - 2ab + b^2
(2x7)³
(a - b)^2
N! / (k!)(n-k)!
16^8 64^5 = (4^3)^5 = 4^15 16^8=(4^2)^8 = 4^16

39. Which is greater? 200x^295 or 10x^294?
Relationship cannot be determined (what if x is negative?)
Distance=rate×time or d=rt
16^8 64^5 = (4^3)^5 = 4^15 16^8=(4^2)^8 = 4^16
1.7

40. 200 <_ x <_ 300. How many values of x are divisible by 5 & 8?
(a - b)(a + b)
D=rt so r= d/t and t=d/r
9 & 6/7
3

41. What number between 70 & 75 - inclusive - has the greatest number of factors?
12! / 5!7! = 792
72
A multiple of every integer
A tangent is a line that only touches one point on the circumference of a circle.

42. What is the 'Solution' for a system of linear equations?
an angle that is less than 90°
D=rt so r= d/t and t=d/r
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.
The point of intersection of the systems.

43. 40 < all primes<50
N! / (n-k)!
an angle that is less than 90°
x = [(-b)+/- (sqrt b^2 - 4ac)]/2a
41 - 43 - 47

44. 25^(1/2) or sqrt. 25 =
An arc is a portion of a circumference of a circle.
5 OR -5
26
(x+y)(x+y)

45. Which is greater? 27^(-4) or 9^(-8)
When we need to avoid having a zero in the denominator or avoid taking the square root of a number.
27^(-4)
48
7 / 1000

46. What are 'Supplementary angles?'
1
EVEN
Two angles whose sum is 180.
x - x+1 - x+2

47. 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?
(amount of decrease/original price) x 100%
N! / (n-k)!
Ab-ac
Two angles whose sum is 180.

48. a^2 - b^2 =
12! / 5!7! = 792
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)
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)
(a - b)(a + b)

49. a/Ø
Null
1/a^6
Yes - like radicals can be added/subtracted.
Multiply by 1-x% i.e. 100 x (1-50%)=100x.5=50

50. Formula to find a circle'S circumference from its radius?
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)
Triangles with same measure and same side lengths.
2²
C = 2(pi)r