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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. Circumference of a circle?
18
1.0843 X 10^11
7 / 1000
Diameter(Pi)

2. the slope of a line in y=mx+b
31 - 37
N! / (k!)(n-k)!
M
EVEN

3. The perimeter of a square is 48 inches. The length of its diagonal is:
The interesection of A and B.
Two equal sides and two equal angles.
12sqrt2
Positive

4. 50 < all primes< 60
(x+y)(x-y)
Ø Ø=Ø
53 - 59
16^8 64^5 = (4^3)^5 = 4^15 16^8=(4^2)^8 = 4^16

5. 60 < all primes <70
Straight Angle
Yes - like radicals can be added/subtracted.
x²-y²
61 - 67

6. Slope
16^8 64^5 = (4^3)^5 = 4^15 16^8=(4^2)^8 = 4^16
A 30-60-90 triangle.
y2-y1/x2-x1
The second graph is less steep.

7. Perfect Squares 1-15
A reflection about the origin.
The two xes after factoring.
1 - 4 - 9 - 16 - 25 - 36 - 49 - 64 - 81 - 100 - 121 - 144 - 169 - 196 - 225
An expression with just one term (-6x - 2a^2)

8. For similar triangles - the ratio of their corresponding sides is 2:3. What is the ratio of their areas?
P(E) = number of favorable outcomes/total number of possible outcomes
Prime numbers (2 - 3 - 5 - 7 - 11 - 13 - 17 - 19 - 23)
4:9. The ratio of the areas of two similar triangles equals the square of the ratio of the corresponding sides.
Undefined - because we can'T divide by 0.

9. What are congruent triangles?
28
x - x+1 - x+2
Triangles with same measure and same side lengths.
D/t (distance)/(time)

10. a>b then a - b is positive or negative?
Yes - like radicals can be added/subtracted.
A tangent is a line that only touches one point on the circumference of a circle.
A-b is positive
The greatest value minus the smallest.

11. The sum of all angles around a point
83.333%
1
360°
D/t (distance)/(time)

12. 70 < all primes< 80
71 - 73 - 79
x(x - y + 1)
D/t (distance)/(time)
.0004809 X 10^11

13. What is the side length of an equilateral triangle with altitude 6?
x²+2xy+y²
A=pi*(r^2)
28
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...

14. 25/2³
2²
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)
Infinite.
10

15. How to recognize a # as a multiple of 4
12.5%
The two xes after factoring.
1/x
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.)

16. Obtuse Angle
1/xn i.e. 5^-3 = 1/(5^3) = 1/ 125 = .008
Every number
angle that is greater than 90° but less than 180°
A = pi(r^2)

17. What is the set of elements found in both A and B?
Triangles with same measure and same side lengths.
90
The interesection of A and B.
3

18. Simplify the expression [(b^2 - c^2) / (b - c)]
Undefined - because we can'T divide by 0.
A 30-60-90 triangle.
(b + c)
The sum of the digits it a multiple of 3 and the last two digits is a multiple of 4. (i.e 144: 1+4+4=9 which is a multiple of 3 - and 44 is a multiple of 4 - so 144 is a multiple of 12.)

19. Evaluate 3& 2/7 / 1/3
A-b is negative
9 & 6/7
4:5
Members or elements

20. 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?
P(E) = ø
52
(b + c)
83.333%

21. Rate
Ø
= (actual decrease/Original amount) x100% = 20/100x100% = 20%
D/t (distance)/(time)
Ø

22. 6w^2 - w - 15 = 0
F(x-c)
F(x + c)
180 degrees
3/2 - 5/3

23. A number is divisible by 3 if ...
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.
2 & 3/7
10! / (10-3)! = 720
The sum of its digits is divisible by 3.

24. What is a chord of a circle?
28. n = 8 - k = 2. n! / k!(n-k)!
A chord is a line segment joining two points on a circle.
X
x^(4+7) = x^11

25. Slope of any line that goes down as you move from left to right is
Negative
The set of output values for a function.
90pi
71 - 73 - 79

26. Circumference of a circle
(x+y)(x-y)
13
2(pi)r
M= (Y1-Y2)/(X1-X2)

27. What is the ratio of the sides of an isosceles right triangle?
zero
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.
1:1:sqrt2
3 - -3

28. What is the measure of an exterior angle of a regular pentagon?
Positive
72
75:11
180°

29. The negative exponent x?n is equivalent to what?
1/xn i.e. 5^-3 = 1/(5^3) = 1/ 125 = .008
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)
Cross multiplication a/b=c/d 4/6=10/15 4(15)=6(10) 60=60
41 - 43 - 47

30. What is a subset?
Ø=P(E)=1
P= 2L + 2w
A grouping of the members within a set based on a shared characteristic.
(2x7)³

31. binomial product of (x-y)²
A subset.
y = 2x^2 - 3
(x+y)(x-y)
C = 2(pi)r

32. An Angle that'S 180°
Straight Angle
1
The second graph is less steep.
A = pi(r^2)

33. factored binomial product of (x+y)²
1/a^6
Every number
x²+2xy+y²
8

34. What is the slope of a horizontal line?
x²+2xy+y²
6
Edge³
0

35. Positive integers that have exactly 2 positive divisors are
Even prime number
1/x
Prime numbers (2 - 3 - 5 - 7 - 11 - 13 - 17 - 19 - 23)
1 & 37/132

36. Write 10 -843 X 10^7 in scientific notation
1/a^6
180°
1.0843 X 10^11
75:11

37. What are the roots of the quadrinomial x^2 + 2x + 1?
The two xes after factoring.
Can be negative - zero - or positive
12! / 5!7! = 792
Diameter(Pi)

38. What are the smallest three prime numbers greater than 65?
P(E) = 1/1 = 1
16.6666%
67 - 71 - 73
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

39. 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?
The sum of the digits is a multiple of 9.
(p + q)/5
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)
N! / (n-k)!

40. a(b+c)
Ab+ac
(a - b)(a + b)
75:11
[(7+ sqrt93) /2] - [(7 - sqrt93) / 2]

41. The reciprocal of any non-zero #x is
The interesection of A and B.
1/x
(a + b)^2
Pi(diameter)

42. What is the graph of f(x) shifted downward c units or spaces?
F(x) - c
1
(a - b)(a + b)
75:11

43. What is it called when a point is reflected to the quadrant opposite it (i.e. I to III or II to IV)?
1.0843 X 10^11
23 - 29
75:11
A reflection about the origin.

44. What is an arc of a circle?
2
An arc is a portion of a circumference of a circle.
288 (8 9 4)
Parallelogram

45. Probability of E not occurring:
A tangent is a line that only touches one point on the circumference of a circle.
1 - P(E)
x²-2xy+y²
A 30-60-90 triangle.

46. The Perimeter of a Square
5
P=4s (s=side)
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
Diameter(Pi)

47. Simplify 9^(1/2) X 4^3 X 2^(-6)?
A-b is negative
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 chord is a line segment joining two points on a circle.
3

48. X is the opposite of
Ø
75:11
Ø=P(E)=1
X

49. The sum of the angles in a quadrilateral is
360°
EVEN
Members or elements
(amount of decrease/original price) x 100%

50. 25+2³
Factors are few - multiples are many.
28
1:sqrt3:2
(n-2) x 180