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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 the intersection of A and B?
The set of elements found in both A and B.
(distance)/(rate) d/r
180
F(x) + c

2. Formula to find a circle'S circumference from its radius?
C = 2(pi)r
EVEN
N! / (n-k)!
2 & 3/7

3. A cylinder has a surface area of 22pi. If the cylinder has a height of 10 - what is the radius?
an angle that is less than 90°
N! / (k!)(n-k)!
1
(6 x 2)(sqrt3 x sqrt5) = 12sqrt15

4. What is the side length of an equilateral triangle with altitude 6?
1/x
1.7
$11 -448
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...

5. the measure of a straight angle
Ab-ac
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.
180°
Ø=P(E)=1

6. If 10800 is invested at a simple interest rate of 4% - what is the value of the investment after 18 months?
$11 -448
(p + q)/5
288 (8 9 4)
3 - -3

7. Find distance when given time and rate
M= (Y1-Y2)/(X1-X2)
27^(-4)
$11 -448
D=rt so r= d/t and t=d/r

8. What is the set of elements which can be found in either A or B?
(p + q)/5
(rate)(time) d=rt
N! / (k!)(n-k)!
The union of A and B.

9. Ø Is
The shortest arc between points A and B on a circle'S diameter.
EVEN
41 - 43 - 47
y = (x + 5)/2

10. 2 is the only
y2-y1/x2-x1
(x+y)(x+y)
Even prime number
3

11. If Event is impossible
1.0843 X 10^11
P(E) = ø
P=2(l+w)
P(E) = 1/1 = 1

12. What is the 'union' of A and B?
Can be negative - zero - or positive
70
(b + c)
The set of elements which can be found in either A or B.

13. Which is greater? 200x^295 or 10x^294?
62.5%
(p + q)/5
Relationship cannot be determined (what if x is negative?)
Arc length = (n/360) x pi(2r) where n is the number of degrees.

14. To multiply a number by 10^x
12sqrt2
The steeper the slope.
31 - 37
Move the decimal point to the right x places

15. How many multiples does a given number have?
F(x + c)
Infinite.
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.)
F(x) - c

16. What are the smallest three prime numbers greater than 65?
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)
67 - 71 - 73
The point of intersection of the systems.
P(E) = ø

17. 1 is a divisor of
(a + b)^2
(n-2) x 180
F(x + c)
Every number

18. Describe the relationship between 3x^2 and 3(x - 1)^2
An arc is a portion of a circumference of a circle.
70
x - x(SR3) - 2x
The graph of 3(x - 1)^2 is a translation (shift) of the graph one unit or space to the right.

19. What is the graph of f(x) shifted right c units or spaces?
(rate)(time) d=rt
x(x - y + 1)
F(x-c)
Be Zero!

20. The Perimeter of a Square
Distance=rate×time or d=rt
A= (1/2) b*h
P=4s (s=side)
180

21. 25+2³
Do not have slopes!
12sqrt2
Undefined
28

22. A number is divisible by 6 if...
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.
Its divisible by 2 and by 3.
180 degrees
Triangles with same measure and same side lengths.

23. Volume of a rectangular box
67 - 71 - 73
V=Lwh
Ab+ac
13pi / 2

24. formula for distance problems
2 & 3/7
Distance=rate×time or d=rt
y/x is a constant
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

25. Evaluate 4/11 + 11/12
4a^2(b)
41 - 43 - 47
1 & 37/132
Sum of digits is a multiple of 3 and the last digit is even.

26. Legs 6 - 8. Hypotenuse?
An arc is a portion of a circumference of a circle.
(rate)(time) d=rt
10
13

27. What are congruent triangles?
Triangles with same measure and same side lengths.
(pi)r²
Undefined
3

28. If the two sides of a triangle are unequal then the longer side.................
Lies opposite the greater angle
x - x(SR3) - 2x
18
C = 2(pi)r

29. If a lamp increases from $80 to $100 - what is the percent increase?
= 25%. = (actual increase/original amount) x 100% = 20/80 x 100% = 1/4 x 100% = 25%
288 (8 9 4)
F(x) - c
72

30. Which is greater? 64^5 or 16^8
16^8 64^5 = (4^3)^5 = 4^15 16^8=(4^2)^8 = 4^16
= (actual decrease/Original amount) x 100%
A set with a number of elements which can be counted.
Ø=P(E)=1

31. a^2 - 2ab + b^2
12! / 5!7! = 792
(a - b)^2
An infinite set.
A set with no members - denoted by a circle with a diagonal through it.

32. What is an arc of a circle?
PEMDAS (Parentheses Exponents Multiplication/Division Addition/Subtraction)
Two (Ø×2=Ø)
The longest arc between points A and B on a circle'S diameter.
An arc is a portion of a circumference of a circle.

33. The sum of the measures of the n angles in a polygon with n sides
M= (Y1-Y2)/(X1-X2)
90°
(n-2) x 180
P(E) = number of favorable outcomes/total number of possible outcomes

34. What is the 'Solution' for a system of linear equations?
2 & 3/7
The point of intersection of the systems.
3
180

35. Circumference of a Circle
Ø
C=2 x pi x r OR pi x D
1/xn i.e. 5^-3 = 1/(5^3) = 1/ 125 = .008
3

36. (6sqrt3) x (2sqrt5) =
(6 x 2)(sqrt3 x sqrt5) = 12sqrt15
An is positive
The set of elements found in both A and B.
3 - 4 - 5

37. Slope
Yes - because you can factor out a perfect square (36). Sqrt(36 x 2) = sqrt36 X sqrt2 = 6sqrt2.
y2-y1/x2-x1
(6 x 2)(sqrt3 x sqrt5) = 12sqrt15
A chord is a line segment joining two points on a circle.

38. How to recognize a # as a multiple of 4
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.)
180°
The set of output values for a function.
A<-b

39. How to recognize a # as a multiple of 9
The sum of the digits is a multiple of 9.
True
(rate)(time) d=rt
1/a^6

40. 200 <_ x <_ 300. How many values of x are divisible by 5 & 8?
The greatest value minus the smallest.
Two equal sides and two equal angles.
2^9 / 2 = 256
3

41. Probability of an Event
2(pi)r
The set of elements which can be found in either A or B.
(distance)/(rate) d/r
P(E) = number of favorable outcomes/total number of possible outcomes

42. Simplify the expression (p^2 - q^2)/ -5(q - p)
(p + q)/5
27^(-4)
Relationship cannot be determined (what if x is negative?)
2 & 3/7

43. 7 divided by Ø
55%
Null
1 - 4 - 9 - 16 - 25 - 36 - 49 - 64 - 81 - 100 - 121 - 144 - 169 - 196 - 225
Parallelogram

44. 30< all primes<40
31 - 37
(12/2) x (sqrt15 / sqrt5) = 6sqrt3
A central angle is an angle formed by 2 radii.
An angle which is supplementary to an interior angle.

45. (x^2)^4
x - x(SR3) - 2x
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)
x^(2(4)) =x^8 = (x^4)^2
Sector area = (n/360) X (pi)r^2

46. For any number x
The direction of the inequality is reversed.
Can be negative - zero - or positive
Subtract them. i.e (5^7)/(5^3)= 5^4
D=rt so r= d/t and t=d/r

47. 25^(1/2) or sqrt. 25 =
5 OR -5
72
A<-b
All numbers which can be expressed as a ratio of two integers. (All integers and fractions.) (-2 - 1 - .25 - 1/2)

48. What is the empty set?
1:sqrt3:2
A set with no members - denoted by a circle with a diagonal through it.
V=Lwh
= (actual decrease/Original amount) x 100%

49. Any Horizontal line slope
All numbers multiples of 1.
83.333%
zero
NOT A PRIME

50. What are the integers?
All numbers multiples of 1.
Ab-ac
A+c<b+c
Ø