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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. Volume of a rectangular solid
37.5%
The set of output values for a function.
(length)(width)(height)
y/x is a constant

2. the measure of a straight angle
180°
An isosceles right triangle.
27^(-4)
12sqrt2

3. 25^(1/2) or sqrt. 25 =
NOT A PRIME
26
1/a^6
5 OR -5

4. What number between 70 & 75 - inclusive - has the greatest number of factors?
(a - b)(a + b)
(a - b)^2
72
V=l×w×h

5. Ø²
Ø
54sqrt3. (divide the hexagon into 6 congruent equilateral triangles.
Ab-ac
61 - 67

6. factored binomial product of (x+y)²
Two angles whose sum is 90.
9 & 6/7
83.333%
x²+2xy+y²

7. 1 is an
ODD number
Its last two digits are divisible by 4.
4725
180

8. If a lamp decreases to $80 - from $100 - what is the decrease in price?
D=rt so r= d/t and t=d/r
= (actual decrease/Original amount) x100% = 20/100x100% = 20%
Ø
(a - b)(a + b)

9. If a product of two numbers is Ø - one number must be
16^8 64^5 = (4^3)^5 = 4^15 16^8=(4^2)^8 = 4^16
1/x
Ø
M

10. The perimeter of a square is 48 inches. The length of its diagonal is:
The point of intersection of the systems.
Undefined
12sqrt2
Smallest positive integer

11. Formula for the area of a circle?
A = pi(r^2)
1 & 37/132
Undefined - because we can'T divide by 0.
Sector area = (n/360) X (pi)r^2

12. Legs: 3 - 4. Hypotenuse?
x(x - y + 1)
F(x + c)
Negative
5

13. Formula to find a circle'S circumference from its radius?
1/a^6
C = 2(pi)r
23 - 29
An infinite set.

14. Circumference of a circle
Pi(diameter)
Null
Infinite.
2.592 kg

15. Evaluate (4^3)^2
Its divisible by 2 and by 3.
A=(base)(height)
(b + c)
4096

16. 50 < all primes< 60
53 - 59
23 - 29
y/x is a constant
A<-b

17. 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
28. n = 8 - k = 2. n! / k!(n-k)!
F(x-c)
... the square of the ratios of the corresponding sides.
180

18. x^4 + x^7 =
x^(4+7) = x^11
Reciprocal
1.0843 X 10^11
Right

19. What are the integers?
Straight Angle
The set of input values for a function.
Do not have slopes!
All numbers multiples of 1.

20. the slope of a line in y=mx+b
A natural number greater than 1 that has no positive divisors other than 1 and itself
M
A<-b
The sum of the digits is a multiple of 9.

21. What is the graph of f(x) shifted upward c units or spaces?
F(x) + c
The second graph is less steep.
13
A = pi(r^2)

22. 30 60 90
12! / 5!7! = 792
5 - 12 - 13
... the square of the ratios of the corresponding sides.
Diameter(Pi)

23. Solve the quadratic equation ax^2 + bx + c= 0
70
x = [(-b)+/- (sqrt b^2 - 4ac)]/2a
Undefined - because we can'T divide by 0.
83.333%

24. Simplify the expression (p^2 - q^2)/ -5(q - p)
(p + q)/5
A²+b²=c²
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.)
23 - 29

25. 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?
Reciprocal
441000 = 1 10 10 10 21 * 21
x²-2xy+y²
A reflection about the axis.

26. a/Ø
All numbers which can be expressed as a ratio of two integers. (All integers and fractions.) (-2 - 1 - .25 - 1/2)
31 - 37
Yes - like radicals can be added/subtracted.
Null

27. A number is divisible by 6 if...
Its divisible by 2 and by 3.
P(E) = 1/1 = 1
(6 x 2)(sqrt3 x sqrt5) = 12sqrt15
(x+y)(x-y)

28. Ø is
The empty set - denoted by a circle with a diagonal through it.
(p + q)/5
A multiple of every integer
An infinite set.

29. The Perimeter of a rectangle
= (actual decrease/Original amount) x 100%
x = [(-b)+/- (sqrt b^2 - 4ac)]/2a
P=2(l+w)
Even prime number

30. 1 is the
The direction of the inequality is reversed.
Infinite.
Smallest positive integer
37.5%

31. 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?
9 : 25
x²-y²
3/2 - 5/3
The interesection of A and B.

32. Define an 'expression'.
Two angles whose sum is 180.
Sum of digits is a multiple of 3 and the last digit is even.
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)
Null

33. Describe the relationship between the graphs of x^2 and (1/2)x^2
True
The second graph is less steep.
x²+2xy+y²
Members or elements

34. What is the name of set with a number of elements which cannot be counted?
1
1
An infinite set.
A natural number greater than 1 that has no positive divisors other than 1 and itself

35. 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?
2²
N! / (k!)(n-k)!
20.5
Pi(diameter)

36. What is the set of elements found in both A and B?
Reciprocal
All numbers which can be expressed as a ratio of two integers. (All integers and fractions.) (-2 - 1 - .25 - 1/2)
A grouping of the members within a set based on a shared characteristic.
The interesection of A and B.

37. 4.809 X 10^7 =
.0004809 X 10^11
Triangles with same measure and same side lengths.
(a + b)^2
A reflection about the origin.

38. Ø is
An isosceles right triangle.
28. n = 8 - k = 2. n! / k!(n-k)!
Even
An is positive

39. 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)?
Two equal sides and two equal angles.
1:1:sqrt2
y = (x + 5)/2
4a^2(b)

40. 1/8 in percent?
288 (8 9 4)
5 - 12 - 13
12.5%
N! / (k!)(n-k)!

41. 1n
... the square of the ratios of the corresponding sides.
3/2 - 5/3
130pi
1

42. a^2 - b^2 =
3/2 - 5/3
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...
83.333%
(a - b)(a + b)

43. Area of a triangle?
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...
Its last two digits are divisible by 4.
(base*height) / 2
Expressing a number as the product of a decimal between 1 and 10 - and a power of 10.

44. What is a percent?
Even
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
A percent is a fraction whose denominator is 100.
A<-b

45. x^6 / x^3
The shortest arc between points A and B on a circle'S diameter.
x^(6-3) = x^3
A-b is negative
8

46. 20<all primes<30
13
23 - 29
zero
[(7+ sqrt93) /2] - [(7 - sqrt93) / 2]

47. What is the 'domain' of a function?
x - x+1 - x+2
A²+b²=c²
The set of input values for a function.
67 - 71 - 73

48. Find the surface area of a cylinder with radius 3 and height 12.
A central angle is an angle formed by 2 radii.
(12/2) x (sqrt15 / sqrt5) = 6sqrt3
90pi
Its divisible by 2 and by 3.

49. Which is greater? 200x^295 or 10x^294?
Relationship cannot be determined (what if x is negative?)
Even
Positive or Negative
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)

50. To multiply a number by 10^x
1
Move the decimal point to the right x places
Smallest positive integer
Ø=P(E)=1