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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. 5/6 in percent?
83.333%
62.5%
90°
N! / (n-k)!

2. Can you add sqrt 3 and sqrt 5?
No - only like radicals can be added.
An angle which is supplementary to an interior angle.
62.5%
V=side³

3. What is the 'domain' of a function?
1
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)
12sqrt2
The set of input values for a function.

4. Circumference of a circle?
Diameter(Pi)
(a - b)^2
x²+2xy+y²
500

5. a(b-c)
Ab-ac
1
The longest arc between points A and B on a circle'S diameter.
x²-y²

6. x^4 + x^7 =
x^(4+7) = x^11
360°
y = 2x^2 - 3
Cd

7. 20<all primes<30
23 - 29
(distance)/(rate) d/r
37.5%
31 - 37

8. What is the set of elements found in both A and B?
NOT A PRIME
1/xn i.e. 5^-3 = 1/(5^3) = 1/ 125 = .008
The interesection of A and B.
(12/2) x (sqrt15 / sqrt5) = 6sqrt3

9. What are the smallest three prime numbers greater than 65?
67 - 71 - 73
55%
1.0843 X 10^11
The sum of its digits is divisible by 3.

10. a^2 - b^2
(a - b)(a + b)
5
3
N! / (n-k)!

11. 1 is a divisor of
8
Pi is the ratio of a circle'S circumference to its diameter.
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)
Every number

12. Important properties of a 30-60-90 triangle?
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
Indeterminable.
53 - 59
(n-2) x 180

13. 1:sqrt3:2 is the ratio of the sides of what kind of triangle?
1
A 30-60-90 triangle.
(x+y)(x-y)
The greatest value minus the smallest.

14. What is an arc of a circle?
2.592 kg
$11 -448
An arc is a portion of a circumference of a circle.
Straight Angle

15. The important properties of a 45-45-90 triangle?
Ø Ø=Ø
A subset.
Indeterminable.
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.

16. How to recognize a # as a multiple of 4
A percent is a fraction whose denominator is 100.
The longest arc between points A and B on a circle'S diameter.
Do not have slopes!
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.)

17. If r - t - s & u are distinct - consecutive prime numbers - less than 31 - which of the following could be an average of them (4 - 4.25 - 6 - 9 - 24 - 22 - 24)
The point of intersection of the systems.
1
The objects within a set.
4.25 - 6 - 22

18. What are the roots of the quadrinomial x^2 + 2x + 1?
Ø
The two xes after factoring.
Undefined - because we can'T divide by 0.
(a + b)^2

19. Vertical lines
500
B?b?b (where b is used as a factor n times)
The second graph is less steep.
Do not have slopes!

20. Which is greater? 27^(-4) or 9^(-8)
(a + b)^2
The second graph is less steep.
Smallest positive integer
27^(-4)

21. What is the slope of a horizontal line?
Every number
Sum of digits is a multiple of 3 and the last digit is even.
0
180°

22. Acute Angle
75:11
x²-y²
(a + b)^2
an angle that is less than 90°

23. Slope of any line that goes up from left to right
Positive
Move the decimal point to the right x places
360°
Relationship cannot be determined (what if x is negative?)

24. Dividing by a number is the same as multiplying it by its
A subset.
Reciprocal
M
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.)

25. 60 < all primes <70
61 - 67
Reciprocal
180
.0004809 X 10^11

26. 6w^2 - w - 15 = 0
3/2 - 5/3
441000 = 1 10 10 10 21 * 21
The union of A and B.
1

27. Formula for the area of a sector of a circle?
No - only like radicals can be added.
9 & 6/7
Sector area = (n/360) X (pi)r^2
3 - 4 - 5

28. 30 60 90
x^(6-3) = x^3
3 - 4 - 5
71 - 73 - 79
Yes - because you can factor out a perfect square (36). Sqrt(36 x 2) = sqrt36 X sqrt2 = 6sqrt2.

29. The four angles around a point measure y - 2y - 35 and 55 respectively. What is the value of y?
An expression with just one term (-6x - 2a^2)
10! / (10-3)! = 720
90
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

30. x^6 / x^3
3
A reflection about the axis.
x^(6-3) = x^3
The interesection of A and B.

31. If a product of two numbers is Ø - one number must be
A multiple of every integer
Can be negative - zero - or positive
Ø
Distance=rate×time or d=rt

32. Describe the relationship between the graphs of x^2 and (1/2)x^2
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)
The second graph is less steep.
(pi)r²
72

33. When dividing exponential #s with the same base - you do this to the exponents...
A-b is positive
72
1
Subtract them. i.e (5^7)/(5^3)= 5^4

34. Ø is a multiple of
Two (Ø×2=Ø)
71 - 73 - 79
Sum of digits is a multiple of 3 and the last digit is even.
(amount of decrease/original price) x 100%

35. What is the third quartile of the following data set: 44 - 58 - 63 - 63 - 68 - 70 - 82
70
All numbers which can be expressed as a ratio of two integers. (All integers and fractions.) (-2 - 1 - .25 - 1/2)
(6 x 2)(sqrt3 x sqrt5) = 12sqrt15
A<-b

36. The perimeter of a square is 48 inches. The length of its diagonal is:
x^(6-3) = x^3
Edge³
12sqrt2
Sum of digits is a multiple of 3 and the last digit is even.

37. What is the measure of an exterior angle of a regular pentagon?
Reciprocal
A percent is a fraction whose denominator is 100.
F(x-c)
72

38. What are complementary angles?
6
Two angles whose sum is 90.
Diameter(Pi)
180°

39. Hector invested $6000. Part was invested in account with 9% simple annual interest - and the rest in account with 7% simple annual interest. If he earned $490 in the first year of these investments - how much did he invest in each account?
4a^2(b)
90pi
$3 -500 in the 9% and $2 -500 in the 7%.
The sum of its digits is divisible by 3.

40. Define a 'Term' -
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)
Yes - like radicals can be added/subtracted.
Cd
F(x) - c

41. Probability of E not occurring:
x²-2xy+y²
1 - P(E)
1
(base*height) / 2

42. 25/2³
2²
= 25%. = (actual increase/original amount) x 100% = 20/80 x 100% = 1/4 x 100% = 25%
Pi(diameter)
The set of input values for a function.

43. If y is directly proportional to x - what does it equal?
y/x is a constant
180
x - x(SR3) - 2x
C = 2(pi)r

44. 1:1:sqrt2 is the ratio of the sides of what kind of triangle?
V=side³
An isosceles right triangle.
Parallelogram
F(x-c)

45. binomial product of (x+y)(x-y)
x - x+1 - x+2
x²-y²
$11 -448
(a - b)^2

46. x^2 = 9. What is the value of x?
3 - -3
Reciprocal
The union of A and B.
B?b?b (where b is used as a factor n times)

47. The objects in a set are called two names:
Members or elements
A=½bh
Distance=rate×time or d=rt
Ø Ø=Ø

48. (2²)³
Even
(p + q)/5
26
72

49. A number is divisible by 6 if...
Ø
= (actual decrease/Original amount) x100% = 20/100x100% = 20%
EVEN
Its divisible by 2 and by 3.

50. What is the surface area of a cylinder with radius 5 and height 8?
1
130pi
Positive
Sector area = (n/360) X (pi)r^2