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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 3x^2 and 3(x - 1)^2
70
The graph of 3(x - 1)^2 is a translation (shift) of the graph one unit or space to the right.
Positive or Negative
(x+y)(x+y)

2. 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?
Expressing a number as the product of a decimal between 1 and 10 - and a power of 10.
70
3 - -3
N! / (k!)(n-k)!

3. Find the surface area of a cylinder with radius 3 and height 12.
90°
23 - 29
90pi
Undefined

4. Probability of E not occurring:
1 - P(E)
441000 = 1 10 10 10 21 * 21
3 - -3
Multiply by 1-x% i.e. 100 x (1-50%)=100x.5=50

5. What is the surface area of a cylinder with radius 5 and height 8?
An is positive
130pi
Parallelogram
1

6. If an inequality is multiplied or divided by a negative number....
9 & 6/7
The direction of the inequality is reversed.
Sector area = (n/360) X (pi)r^2
(b + c)

7. What is the order of operations?
(a - b)(a + b)
PEMDAS (Parentheses Exponents Multiplication/Division Addition/Subtraction)
True
Cd

8. If a is negative and n is even then an is (positive or negative?)
Multiply by 1+x% i.e. 100 x (1+50%)=100x1.5=150
Null
83.333%
An is positive

9. What is the 'Solution' for a set of inequalities.
26
The overlapping sections.
The second graph is less steep.
16^8 64^5 = (4^3)^5 = 4^15 16^8=(4^2)^8 = 4^16

10. Evaluate 4/11 + 11/12
The greatest value minus the smallest.
1 & 37/132
The steeper the slope.
(n-2) x 180

11. 0^0
A+c<b+c
7 / 1000
Even
Undefined

12. 50 < all primes< 60
360°
Two (Ø×2=Ø)
53 - 59
Positive

13. In a rectangle - all angles are
Right
Prime numbers (2 - 3 - 5 - 7 - 11 - 13 - 17 - 19 - 23)
Ø
P= 2L + 2w

14. The important properties of a 45-45-90 triangle?
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.
Cross multiplication a/b=c/d 4/6=10/15 4(15)=6(10) 60=60
Parallelogram
An isosceles right triangle.

15. What are the members or elements of a set?
12.5%
The objects within a set.
180°
2

16. A cylinder has surface area 22pi. If the cylinder has a height of 10 - what is its radius?
72
1
Sector area = (n/360) X (pi)r^2
Members or elements

17. What is the intersection of A and B?
10
$3 -500 in the 9% and $2 -500 in the 7%.
11 - 13 - 17 - 19
The set of elements found in both A and B.

18. What are the roots of the quadrinomial x^2 + 2x + 1?
The shortest arc between points A and B on a circle'S diameter.
6
The two xes after factoring.
A natural number greater than 1 that has no positive divisors other than 1 and itself

19. How to recognize a multiple of 6
Null
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.
Sum of digits is a multiple of 3 and the last digit is even.
12.5%

20. 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)?
y = (x + 5)/2
(amount of decrease/original price) x 100%
3x - 4x - 5x
D=rt so r= d/t and t=d/r

21. 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
P(E) = 1/1 = 1
ODD number
(amount of decrease/original price) x 100%

22. 1 is the
90pi
A=pi*(r^2)
The sum of digits is divisible by 9.
Smallest positive integer

23. (x-y)(x+y)
28
P=2(l+w)
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)
x²-y²

24. Area of a circle
Right
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.
87.5%
(pi)r²

25. What is the coefficient of the x^2 term in the product of (x + 1)(x + 2)(x -1)?
Move the decimal point to the right x places
360/n
4:9. The ratio of the areas of two similar triangles equals the square of the ratio of the corresponding sides.
2

26. Which is greater? 64^5 or 16^8
P=4s (s=side)
x²+2xy+y²
Triangles with same measure and same side lengths.
16^8 64^5 = (4^3)^5 = 4^15 16^8=(4^2)^8 = 4^16

27. If 10800 is invested at a simple interest rate of 4% - what is the value of the investment after 18 months?
P= 2L + 2w
$11 -448
20.5
The greatest value minus the smallest.

28. Rate
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.
D/t (distance)/(time)
An expression with just one term (-6x - 2a^2)
An angle which is supplementary to an interior angle.

29. Employee X is paid 19.50 per hour no matter how many a week. Employee Y earns 18 for the first 40 and 1.5 the hourly wage for every hour after that. If both earned the same amount and worked the same in one week - how many did each work?
The overlapping sections.
Ø=P(E)=1
Edge³
48

30. What is a finite set?
A set with a number of elements which can be counted.
Yes - like radicals can be added/subtracted.
441000 = 1 10 10 10 21 * 21
Yes - because you can factor out a perfect square (36). Sqrt(36 x 2) = sqrt36 X sqrt2 = 6sqrt2.

31. 25^(1/2) or sqrt. 25 =
5 OR -5
4.25 - 6 - 22
54sqrt3. (divide the hexagon into 6 congruent equilateral triangles.
The empty set - denoted by a circle with a diagonal through it.

32. Can you simplify sqrt72?
4a^2(b)
71 - 73 - 79
Two equal sides and two equal angles.
Yes - because you can factor out a perfect square (36). Sqrt(36 x 2) = sqrt36 X sqrt2 = 6sqrt2.

33. -3³
1
(base*height) / 2
27
The second graph is less steep.

34. Consecutive integers
1/x
x - x+1 - x+2
An isosceles right triangle.
Undefined

35. Write 10 -843 X 10^7 in scientific notation
P=4s (s=side)
1
(p + q)/5
1.0843 X 10^11

36. How do you solve proportions? a/b=c/d
4096
x(x - y + 1)
(a - b)^2
Cross multiplication a/b=c/d 4/6=10/15 4(15)=6(10) 60=60

37. 4.809 X 10^7 =
C = 2(pi)r
(6 x 2)(sqrt3 x sqrt5) = 12sqrt15
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)
.0004809 X 10^11

38. Circumference of a Circle
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
x = [(-b)+/- (sqrt b^2 - 4ac)]/2a
Ø
C=2 x pi x r OR pi x D

39. 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
The set of elements found in both A and B.
Ab=k (k is a constant)
180
A=(base)(height)

40. Is 0 even or odd?
2sqrt6
31 - 37
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...
Even

41. 1:sqrt3:2 is the ratio of the sides of what kind of triangle?
An is positive
72
Straight Angle
A 30-60-90 triangle.

42. Factor a^2 + 2ab + b^2
(a + b)^2
Even
V=Lwh
16.6666%

43. 5 bakeries sell an average of 300 muffins per bakery per day. If 2 stop making muffins but the total muffins sold stays the same - what is the average of muffins per bakery sold among the remaining?
27^(-4)
18
500
Every number

44. Volume of a rectangular solid
37.5%
52
(length)(width)(height)
7 / 1000

45. The reciprocal of any non-zero number is
3
1/x
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
Positive or Negative

46. If y is directly proportional to x - what does it equal?
y/x is a constant
1
x^(6-3) = x^3
... the square of the ratios of the corresponding sides.

47. 1n
0
52
1
87.5%

48. If Event is impossible
Members or elements
P(E) = ø
True
1

49. What is the graph of f(x) shifted upward c units or spaces?
Negative
A reflection about the origin.
13pi / 2
F(x) + c

50. the slope of a line in y=mx+b
Pi(diameter)
The empty set - denoted by a circle with a diagonal through it.
Sector area = (n/360) X (pi)r^2
M