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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. 70 < all primes< 80
Null
6
71 - 73 - 79
Parallelogram

2. X is the opposite of
x - x+1 - x+2
EVEN
X
Ø Ø=Ø

3. 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?
The empty set - denoted by a circle with a diagonal through it.
N! / (k!)(n-k)!
48
1

4. Obtuse Angle
angle that is greater than 90° but less than 180°
Undefined - because we can'T divide by 0.
(base*height) / 2
The empty set - denoted by a circle with a diagonal through it.

5. What is the ratio of the sides of a 30-60-90 triangle?
1:sqrt3:2
6 : 1 : 2
1
An isosceles right triangle.

6. What is the 'union' of A and B?
1 - 4 - 9 - 16 - 25 - 36 - 49 - 64 - 81 - 100 - 121 - 144 - 169 - 196 - 225
2
The set of elements which can be found in either A or B.
7 / 1000

7. Volume of a cube
Edge³
All real numbers which can'T be expressed as a ratio of two integers - positive and negative (pi - -sqrt3)
180°
A chord is a line segment joining two points on a circle.

8. What are the rational numbers?
4:5
All numbers which can be expressed as a ratio of two integers. (All integers and fractions.) (-2 - 1 - .25 - 1/2)
4096
Cross multiplication a/b=c/d 4/6=10/15 4(15)=6(10) 60=60

9. 50 < all primes< 60
An infinite set.
53 - 59
(x+y)(x+y)
... the square of the ratios of the corresponding sides.

10. 200 <_ x <_ 300. How many values of x are divisible by 5 & 8?
1
A = length x width
Positive
3

11. a^2 - b^2 =
C = (pi)d
(a - b)(a + b)
[(7+ sqrt93) /2] - [(7 - sqrt93) / 2]
7 / 1000

12. 25+2³
28
y2-y1/x2-x1
A<-b
The point of intersection of the systems.

13. Formula for the area of a circle?
All numbers which can be expressed as a ratio of two integers. (All integers and fractions.) (-2 - 1 - .25 - 1/2)
3 - -3
7 / 1000
A = pi(r^2)

14. -3²
9
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.
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...
X

15. 10<all primes<20
The point of intersection of the systems.
11 - 13 - 17 - 19
4725
A chord is a line segment joining two points on a circle.

16. If an inequality is multiplied or divided by a negative number....
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...
Negative
The direction of the inequality is reversed.
A percent is a fraction whose denominator is 100.

17. Which is greater? 200x^295 or 10x^294?
Relationship cannot be determined (what if x is negative?)
4:9. The ratio of the areas of two similar triangles equals the square of the ratio of the corresponding sides.
(12/2) x (sqrt15 / sqrt5) = 6sqrt3
D/t (distance)/(time)

18. x^6 / x^3
x^(6-3) = x^3
37.5%
48
180 degrees

19. Area of a triangle
Subtract them. i.e (5^7)/(5^3)= 5^4
A= (1/2) b*h
37.5%
NOT A PRIME

20. 8.84 / 5.2
[(7+ sqrt93) /2] - [(7 - sqrt93) / 2]
Cross multiplication a/b=c/d 4/6=10/15 4(15)=6(10) 60=60
1.7
9 & 6/7

21. What is a minor arc?

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22. a<b then a - b is positive or negative?
5 OR -5
(length)(width)(height)
A-b is negative
When we need to avoid having a zero in the denominator or avoid taking the square root of a number.

23. What is a percent?
A 30-60-90 triangle.
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.
A percent is a fraction whose denominator is 100.
(a + b)^2

24. Slope given 2 points
M= (Y1-Y2)/(X1-X2)
3
1 - 4 - 9 - 16 - 25 - 36 - 49 - 64 - 81 - 100 - 121 - 144 - 169 - 196 - 225
A set with no members - denoted by a circle with a diagonal through it.

25. Dividing by a number is the same as multiplying it by its
Reciprocal
Every number
(b + c)
x²+2xy+y²

26. Circumference of a circle?
16.6666%
PEMDAS (Parentheses Exponents Multiplication/Division Addition/Subtraction)
Diameter(Pi)
Even

27. x^4 + x^7 =
(distance)/(rate) d/r
x^(4+7) = x^11
Null
Sum of digits is a multiple of 3 and the last digit is even.

28. Volume of a rectangular box
360/n
Yes - because you can factor out a perfect square (36). Sqrt(36 x 2) = sqrt36 X sqrt2 = 6sqrt2.
V=Lwh
53 - 59

29. Probability of Event all cases
(x+y)(x-y)
Ø=P(E)=1
an angle that is less than 90°
1/x

30. Evaluate 4/11 + 11/12
V=Lwh
1 & 37/132
2²
A subset.

31. binomial product of (x+y)²
26
x²-y²
16.6666%
(x+y)(x+y)

32. Area of a triangle?
M= (Y1-Y2)/(X1-X2)
A central angle is an angle formed by 2 radii.
(base*height) / 2
All numbers which can be expressed as a ratio of two integers. (All integers and fractions.) (-2 - 1 - .25 - 1/2)

33. A cylinder has surface area 22pi. If the cylinder has a height of 10 - what is its radius?
Every number
1
62.5%
The greatest value minus the smallest.

34. What is the ratio of the surface area of a cube with an edge of 10 to the surface area of a rectangular solid with dimensions 2 - 4 - and 6?
(b + c)
Negative
75:11
F(x-c)

35. (x^2)^4
P=4s (s=side)
5
x^(2(4)) =x^8 = (x^4)^2
A multiple of every integer

36. Formula to find a circle'S circumference from its radius?
C = 2(pi)r
Its divisible by 2 and by 3.
Even
13pi / 2

37. What is the third quartile of the following data set: 44 - 58 - 63 - 63 - 68 - 70 - 82
An arc is a portion of a circumference of a circle.
= (actual decrease/Original amount) x100% = 20/100x100% = 20%
C = 2(pi)r
70

38. What are complementary angles?
28
Two angles whose sum is 90.
A<-b
27^(-4)

39. The reciprocal of any non-zero #x is
(amount of decrease/original price) x 100%
1/x
N! / (k!)(n-k)!
1

40. If a lamp decreases to $80 - from $100 - what is the decrease in price?
(a - b)(a + b)
= (actual decrease/Original amount) x100% = 20/100x100% = 20%
(x+y)(x+y)
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

41. An Angle that'S 180°
x²-y²
Straight Angle
Add them. i.e. (5^7) * (5^3) = 5^10
B?b?b (where b is used as a factor n times)

42. What is the maximum value for the function g(x) = (-2x^2) -1?
180 degrees
1:1:sqrt2
1
$3 -500 in the 9% and $2 -500 in the 7%.

43. a^2 + 2ab + b^2
(a + b)^2
9 & 6/7
A= (1/2) b*h
Yes - because you can factor out a perfect square (36). Sqrt(36 x 2) = sqrt36 X sqrt2 = 6sqrt2.

44. If a is negative and n is even then an is (positive or negative?)
Members or elements
6
An is positive
(length)(width)(height)

45. 5/6 in percent?
83.333%
130pi
NOT A PRIME
P(E) = 1/1 = 1

46. 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
71 - 73 - 79
4a^2(b)
x²+2xy+y²

47. Suppose that the graph of f(x) is the result of sliding the graph of y=2x^2 down 3 units of spaces. What is the new equation?
1
Multiply by 1-x% i.e. 100 x (1-50%)=100x.5=50
y = 2x^2 - 3
9

48. What is the relationship between lengths of the sides of a triangle and the measure of the angles of the triangle?
2 - 3 - 5 - 7 - 11 - 13 - 17 - 19 - 23 - 29
A chord is a line segment joining two points on a circle.
The point of intersection of the systems.
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.

49. Legs 6 - 8. Hypotenuse?
3
1
Positive
10

50. b¹
A multiple of every integer
1
$11 -448
Two angles whose sum is 180.