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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. Convert 0.7% to a fraction.
7 / 1000
Arc length = (n/360) x pi(2r) where n is the number of degrees.
Factors are few - multiples are many.
10

2. binomial product of (x+y)²
(x+y)(x+y)
The objects within a set.
M
Sector area = (n/360) X (pi)r^2

3. 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?
48
Pi is the ratio of a circle'S circumference to its diameter.
Two equal sides and two equal angles.
Infinite.

4. Positive integers that have exactly 2 positive divisors are
48
Prime numbers (2 - 3 - 5 - 7 - 11 - 13 - 17 - 19 - 23)
(12/2) x (sqrt15 / sqrt5) = 6sqrt3
x^(2(4)) =x^8 = (x^4)^2

5. The reciprocal of any non-zero number is
1/x
23 - 29
An isosceles right triangle.
1.7

6. Distance
Smallest positive integer
(rate)(time) d=rt
zero
an angle that is less than 90°

7. What are the roots of the quadrinomial x^2 + 2x + 1?
The two xes after factoring.
9 & 6/7
P(E) = number of favorable outcomes/total number of possible outcomes
2sqrt6

8. Define a 'Term' -
D=rt so r= d/t and t=d/r
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)
4:9. The ratio of the areas of two similar triangles equals the square of the ratio of the corresponding sides.
The set of elements which can be found in either A or B.

9. If E is certain
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)
P(E) = 1/1 = 1
Factors are few - multiples are many.
Multiply by 1-x% i.e. 100 x (1-50%)=100x.5=50

10. 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?
P= 2L + 2w
A multiple of every integer
4:9. The ratio of the areas of two similar triangles equals the square of the ratio of the corresponding sides.
N! / (k!)(n-k)!

11. 10<all primes<20
Ab-ac
11 - 13 - 17 - 19
x = [(-b)+/- (sqrt b^2 - 4ac)]/2a
All real numbers which can'T be expressed as a ratio of two integers - positive and negative (pi - -sqrt3)

12. (12sqrt15) / (2sqrt5) =
(pi)r²
Ab-ac
The two xes after factoring.
(12/2) x (sqrt15 / sqrt5) = 6sqrt3

13. How to recognize a # as a multiple of 3
1
angle that is greater than 90° but less than 180°
NOT A PRIME
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)

14. Formula to find a circle'S circumference from its radius?
The interesection of A and B.
C = 2(pi)r
The steeper the slope.
4:5

15. What is the sum of the angles of a triangle?
4:5
180 degrees
A 30-60-90 triangle.
12.5%

16. Number of degrees in a triangle
The objects within a set.
180
P= 2L + 2w
The two xes after factoring.

17. a>b then a - b is positive or negative?
A-b is positive
Infinite.
(x+y)(x+y)
Negative

18. What are 'Supplementary angles?'
(a + b)^2
3 - -3
Two angles whose sum is 180.
(2x7)³

19. The sum of the measures of the n angles in a polygon with n sides
A tangent is a line that only touches one point on the circumference of a circle.
75:11
(n-2) x 180
A<-b

20. 2 is the only
Even prime number
A reflection about the origin.
Arc length = (n/360) x pi(2r) where n is the number of degrees.
(length)(width)(height)

21. 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?
20.5
1 & 37/132
75:11
A natural number greater than 1 that has no positive divisors other than 1 and itself

22. What is an exterior angle?
28. n = 8 - k = 2. n! / k!(n-k)!
An angle which is supplementary to an interior angle.
180
x^(2(4)) =x^8 = (x^4)^2

23. Formula to calculate arc length?
V=Lwh
Arc length = (n/360) x pi(2r) where n is the number of degrees.
Positive
Lies opposite the greater angle

24. (x+y)²
8
The greatest value minus the smallest.
x²+2xy+y²
Members or elements

25. Dividing by a number is the same as multiplying it by its
Reciprocal
4.25 - 6 - 22
x²-2xy+y²
No - only like radicals can be added.

26. A quadrilateral where two diagonals bisect each other
F(x) - c
5 OR -5
Parallelogram
A central angle is an angle formed by 2 radii.

27. Acute Angle
P=2(l+w)
an angle that is less than 90°
55%
(2x7)³

28. a(b+c)
A chord is a line segment joining two points on a circle.
Ab+ac
Multiply by 1+x% i.e. 100 x (1+50%)=100x1.5=150
20.5

29. A prime number (or a prime)
A natural number greater than 1 that has no positive divisors other than 1 and itself
3 - 4 - 5
360°
The graph of 3(x - 1)^2 is a translation (shift) of the graph one unit or space to the right.

30. 1:sqrt3:2 is the ratio of the sides of what kind of triangle?
Distance=rate×time or d=rt
A 30-60-90 triangle.
Even prime number
Subtract them. i.e (5^7)/(5^3)= 5^4

31. Legs 5 - 12. Hypotenuse?
13
(base*height) / 2
Members or elements
61 - 67

32. What is the ratio of the sides of an isosceles right triangle?
2²
1:1:sqrt2
The longest arc between points A and B on a circle'S diameter.
9

33. 30 60 90
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.
x - x(SR3) - 2x
V=l×w×h
Right

34. Any Horizontal line slope
X
1:sqrt3:2
(x+y)(x+y)
zero

35. The only number that is equal to its opposite
61 - 67
Ø Ø=Ø
8
A = pi(r^2)

36. X is the opposite of
Two angles whose sum is 90.
A 30-60-90 triangle.
C=2 x pi x r OR pi x D
X

37. How to recognize a # as a multiple of 9
Cross multiplication a/b=c/d 4/6=10/15 4(15)=6(10) 60=60
Even prime number
The sum of the digits is a multiple of 9.
180°

38. 7/8 in percent?
87.5%
180 degrees
2(pi)r
Undefined

39. What is the side length of an equilateral triangle with altitude 6?
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)
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...
1
(rate)(time) d=rt

40. Ø divided by 7
Members or elements
Even prime number
Ø
The graph of 3(x - 1)^2 is a translation (shift) of the graph one unit or space to the right.

41. Reduce: 4.8 : 0.8 : 1.6
A<-b
Lies opposite the greater angle
6 : 1 : 2
Can be negative - zero - or positive

42. The objects in a set are called two names:
= (actual decrease/Original amount) x100% = 20/100x100% = 20%
(p + q)/5
Members or elements
Triangles with same measure and same side lengths.

43. If a lamp decreases to $80 - from $100 - what is the decrease in price?
Move the decimal point to the right x places
1/a^6
A<-b
= (actual decrease/Original amount) x100% = 20/100x100% = 20%

44. Is 0 even or odd?
Even
zero
$3 -500 in the 9% and $2 -500 in the 7%.
The interesection of A and B.

45. 6w^2 - w - 15 = 0
Pi(diameter)
3/2 - 5/3
The direction of the inequality is reversed.
72

46. The percent decrease of a quantity
3
an angle that is less than 90°
= (actual decrease/Original amount) x 100%
.0004809 X 10^11

47. The product of any number x and its reciprocal
Positive or Negative
1.7
12sqrt2
1

48. 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?
52
Ø
4a^2(b)
A set with a number of elements which can be counted.

49. What are the smallest three prime numbers greater than 65?
12sqrt2
67 - 71 - 73
= (actual decrease/Original amount) x 100%
Negative

50. How many 3-digit positive integers are even and do not contain the digit 4?
27^(-4)
288 (8 9 4)
31 - 37
The empty set - denoted by a circle with a diagonal through it.