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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. What is a subset?
y/x is a constant
62.5%
Null
A grouping of the members within a set based on a shared characteristic.

2. The larger the absolute value of the slope...
Pi is the ratio of a circle'S circumference to its diameter.
9 : 25
The steeper the slope.
F(x) + c

3. Describe the relationship between 3x^2 and 3(x - 1)^2
6 : 1 : 2
3 - 4 - 5
75:11
The graph of 3(x - 1)^2 is a translation (shift) of the graph one unit or space to the right.

4. What is the measure of an exterior angle of a regular pentagon?
6
Two (Ø×2=Ø)
72
The two xes after factoring.

5. Area of a rectangle
x²-2xy+y²
A = length x width
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
D/t (distance)/(time)

6. What is it called when a point is reflected to the quadrant opposite it (i.e. I to III or II to IV)?
2^9 / 2 = 256
Lies opposite the greater angle
A reflection about the origin.
1 & 37/132

7. When multiplying exponential #s with the same base - you do this to the exponents...
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.)
A tangent is a line that only touches one point on the circumference of a circle.
Add them. i.e. (5^7) * (5^3) = 5^10
A central angle is an angle formed by 2 radii.

8. What is the third quartile of the following data set: 44 - 58 - 63 - 63 - 68 - 70 - 82
70
13pi / 2
1.0843 X 10^11
13

9. If the 80th percentile of the measurements is 72degrees - about how many measurments are between 69 degrees and 72 degrees? Round your answer to the nearest tenth
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.
18
1/a^6
500

10. Which is greater? 200x^295 or 10x^294?
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
Relationship cannot be determined (what if x is negative?)
Ø Ø=Ø
3

11. Formula to calculate arc length?
3
B?b?b (where b is used as a factor n times)
Arc length = (n/360) x pi(2r) where n is the number of degrees.
2 - 3 - 5 - 7 - 11 - 13 - 17 - 19 - 23 - 29

12. Acute Angle
1/a^6
61 - 67
3
an angle that is less than 90°

13. Define an 'expression'.
NOT A PRIME
360°
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)
1

14. a>b then a - b is positive or negative?
1 - P(E)
(a - b)^2
A-b is positive
6

15. 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?
(a + b)^2
2.592 kg
(a - b)^2
8

16. Vertical lines
Factors are few - multiples are many.
1/xn i.e. 5^-3 = 1/(5^3) = 1/ 125 = .008
Do not have slopes!
48

17. Obtuse Angle
53 - 59
angle that is greater than 90° but less than 180°
An arc is a portion of a circumference of a circle.
A chord is a line segment joining two points on a circle.

18. If a is positive - an is
A= (1/2) b*h
18
Positive
= (actual decrease/Original amount) x 100%

19. 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?
x²-y²
Positive
288 (8 9 4)
52

20. In a rectangle - all angles are
B?b?b (where b is used as a factor n times)
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.
9 & 6/7
Right

21. What is the graph of f(x) shifted left c units or spaces?
2^9 / 2 = 256
F(x + c)
4.25 - 6 - 22
The direction of the inequality is reversed.

22. The objects in a set are called two names:
Positive
Members or elements
F(x-c)
Be Zero!

23. 60 < all primes <70
V=side³
71 - 73 - 79
61 - 67
V=Lwh

24. Can you simplify sqrt72?
1/xn i.e. 5^-3 = 1/(5^3) = 1/ 125 = .008
52
$3 -500 in the 9% and $2 -500 in the 7%.
Yes - because you can factor out a perfect square (36). Sqrt(36 x 2) = sqrt36 X sqrt2 = 6sqrt2.

25. When dividing exponential #s with the same base - you do this to the exponents...
Ab-ac
Members or elements
Subtract them. i.e (5^7)/(5^3)= 5^4
P(E) = number of favorable outcomes/total number of possible outcomes

26. The reciprocal of any non-zero number is
P=2(l+w)
1/x
Factors are few - multiples are many.
180

27. Solve the quadratic equation ax^2 + bx + c= 0
27^(-4)
Diameter(Pi)
62.5%
x = [(-b)+/- (sqrt b^2 - 4ac)]/2a

28. Important properties of a 30-60-90 triangle?
41 - 43 - 47
y2-y1/x2-x1
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
x²-y²

29. In a Regular Polygon - the measure of each exterior angle
360/n
Ø
x^(2(4)) =x^8 = (x^4)^2
Two angles whose sum is 180.

30. Can you subtract 3sqrt4 from sqrt4?
Negative
B?b?b (where b is used as a factor n times)
27^(-4)
Yes - like radicals can be added/subtracted.

31. 1 is the
Even
1 - 4 - 9 - 16 - 25 - 36 - 49 - 64 - 81 - 100 - 121 - 144 - 169 - 196 - 225
Smallest positive integer
180

32. What is the 'Range' of a function?
The set of output values for a function.
N! / (k!)(n-k)!
A tangent is a line that only touches one point on the circumference of a circle.
Even

33. The sum of the angles in a quadrilateral is
2 & 3/7
An expression with just one term (-6x - 2a^2)
Even
360°

34. Consecutive integers
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.
(distance)/(rate) d/r
x - x+1 - x+2
P(E) = number of favorable outcomes/total number of possible outcomes

35. (x-y)²
2 & 3/7
The union of A and B.
x²-2xy+y²
2^9 / 2 = 256

36. 25+2³
An expression with just one term (-6x - 2a^2)
No - only like radicals can be added.
10
28

37. How to recognize a # as a multiple of 4
P= 2L + 2w
A reflection about the origin.
37.5%
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.)

38. b¹
A<-b
2.592 kg
1
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.)

39. The Denominator can never
Positive
55%
Be Zero!
9 & 6/7

40. A prime number (or a prime)
16.6666%
A natural number greater than 1 that has no positive divisors other than 1 and itself
Ø
x(x - y + 1)

41. 1/2 divided by 3/7 is the same as
The steeper the slope.
C=2 x pi x r OR pi x D
1/2 times 7/3
(pi)r²

42. (x+y)²
x^(4+7) = x^11
M= (Y1-Y2)/(X1-X2)
x^(6-3) = x^3
x²+2xy+y²

43. Number of degrees in a triangle
Ab=k (k is a constant)
130pi
180
Do not have slopes!

44. 4.809 X 10^7 =
.0004809 X 10^11
The set of input values for a function.
12! / 5!7! = 792
4096

45. 50 < all primes< 60
Multiply by 1+x% i.e. 100 x (1+50%)=100x1.5=150
Even
72
53 - 59

46. a<b then a - b is positive or negative?
Cross multiplication a/b=c/d 4/6=10/15 4(15)=6(10) 60=60
A-b is negative
P(E) = ø
A-b is positive

47. If 10800 is invested at a simple interest rate of 4% - what is the value of the investment after 18 months?
x^(6-3) = x^3
The graph of 3(x - 1)^2 is a translation (shift) of the graph one unit or space to the right.
$11 -448
28

48. If E is certain
2.592 kg
M= (Y1-Y2)/(X1-X2)
6 : 1 : 2
P(E) = 1/1 = 1

49. Perfect Squares 1-15
1 - 4 - 9 - 16 - 25 - 36 - 49 - 64 - 81 - 100 - 121 - 144 - 169 - 196 - 225
(a - b)^2
(6 x 2)(sqrt3 x sqrt5) = 12sqrt15
180°

50. What is the ratio of the sides of an isosceles right triangle?
The set of input values for a function.
1:1:sqrt2
9 & 6/7
A subset.