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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. The sum of the angles in a quadrilateral is
12sqrt2
4:5
1 - 4 - 9 - 16 - 25 - 36 - 49 - 64 - 81 - 100 - 121 - 144 - 169 - 196 - 225
360°

2. a(b-c)
F(x) - c
Be Zero!
Ab-ac
C=2 x pi x r OR pi x D

3. Rate
y/x is a constant
D/t (distance)/(time)
61 - 67
(6 x 2)(sqrt3 x sqrt5) = 12sqrt15

4. 1/2 divided by 3/7 is the same as
1/2 times 7/3
N! / (n-k)!
Cd
Straight Angle

5. The larger the absolute value of the slope...
53 - 59
The steeper the slope.
(length)(width)(height)
Negative

6. 1 is the
x^(6-3) = x^3
D=rt so r= d/t and t=d/r
Smallest positive integer
4a^2(b)

7. What is the surface area of a cylinder with radius 5 and height 8?
1
130pi
3
An expression with just one term (-6x - 2a^2)

8. Obtuse Angle
Negative
angle that is greater than 90° but less than 180°
x²-2xy+y²
2.592 kg

9. Product of any number and Ø is
12! / 5!7! = 792
1/2 times 7/3
500
Ø

10. 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)
4.25 - 6 - 22
180
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...
x^(4+7) = x^11

11. Ø Is
EVEN
27
The set of elements which can be found in either A or B.
.0004809 X 10^11

12. 25+2³
Can be negative - zero - or positive
9 : 25
Null
28

13. Slope of any line that goes down as you move from left to right is
1.7
10! / 3!(10-3)! = 120
Edge³
Negative

14. If Event is impossible
P(E) = ø
A natural number greater than 1 that has no positive divisors other than 1 and itself
x^(2(4)) =x^8 = (x^4)^2
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.)

15. If a is inversely porportional to b - what does it equal?
0
Two (Ø×2=Ø)
Relationship cannot be determined (what if x is negative?)
Ab=k (k is a constant)

16. What is the side length of an equilateral triangle with altitude 6?
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...
= 25%. = (actual increase/original amount) x 100% = 20/80 x 100% = 1/4 x 100% = 25%
P(E) = number of favorable outcomes/total number of possible outcomes
1

17. 5 bakeries sell an average of 300 muffins per bakery per day. If 2 stop making muffins but the total muffins sold stays the same - what is the average of muffins per bakery sold among the remaining?
500
1/a^6
75:11
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.

18. When multiplying exponential #s with the same base - you do this to the exponents...
23 - 29
Add them. i.e. (5^7) * (5^3) = 5^10
2²
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...

19. The sum of all angles around a point
4.25 - 6 - 22
Even
360°
0

20. 30 60 90
3 - 4 - 5
Ø Ø=Ø
9 : 25
No - only like radicals can be added.

21. 1 is a divisor of
Every number
Multiply by 1-x% i.e. 100 x (1-50%)=100x.5=50
Ø Ø=Ø
[(7+ sqrt93) /2] - [(7 - sqrt93) / 2]

22. What is the name for a grouping of the members within a set based on a shared characteristic?
A subset.
Reciprocal
A=(base)(height)
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)

23. How do you solve proportions? a/b=c/d
Cross multiplication a/b=c/d 4/6=10/15 4(15)=6(10) 60=60
F(x) - c
= (actual decrease/Original amount) x100% = 20/100x100% = 20%
27^(-4)

24. Area of a triangle
Two (Ø×2=Ø)
A= (1/2) b*h
Negative
Distance=rate×time or d=rt

25. 30 60 90
3x - 4x - 5x
True
= 25%. = (actual increase/original amount) x 100% = 20/80 x 100% = 1/4 x 100% = 25%
(p + q)/5

26. a(b+c)
Ab+ac
D/t (distance)/(time)
48
27^(-4)

27. T or F? Given d -e &f =/ 0 - [(d^3)e(f^5)] / 2d(e^3) / [3(d^2)(e^3)(f^7)] / [6(e^5)(f^2)]?
x(x - y + 1)
2
True
1 - P(E)

28. What percent of 40 is 22?
Null
D=rt so r= d/t and t=d/r
55%
The set of elements found in both A and B.

29. How to find the circumference of a circle which circumscribes a square?
2 & 3/7
Circumference = Diameter(pi). Use pythagorean theorem to find the diagonal of the square (the diameter).
... the square of the ratios of the corresponding sides.
P(E) = ø

30. A number is divisible by 6 if...
Its divisible by 2 and by 3.
(6 x 2)(sqrt3 x sqrt5) = 12sqrt15
3x - 4x - 5x
Null

31. Is 0 even or odd?
Even
(distance)/(rate) d/r
Infinite.
D/t (distance)/(time)

32. What does scientific notation mean?
C = 2(pi)r
$3 -500 in the 9% and $2 -500 in the 7%.
Expressing a number as the product of a decimal between 1 and 10 - and a power of 10.
Cross multiplication a/b=c/d 4/6=10/15 4(15)=6(10) 60=60

33. 1/6 in percent?
NOT A PRIME
53 - 59
16.6666%
52

34. 60 < all primes <70
55%
67 - 71 - 73
V=side³
61 - 67

35. What is the graph of f(x) shifted left c units or spaces?
A chord is a line segment joining two points on a circle.
F(x + c)
1
26

36. What is the ratio of the sides of a 30-60-90 triangle?
$3 -500 in the 9% and $2 -500 in the 7%.
7 / 1000
1:sqrt3:2
The two xes after factoring.

37. 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 overlapping sections.
A=½bh
18
Undefined - because we can'T divide by 0.

38. Circumference of a Circle
The set of elements found in both A and B.
A subset.
C=2 x pi x r OR pi x D
26

39. Evaluate (4^3)^2
27
A+c<b+c
Lies opposite the greater angle
4096

40. There are 10 finalists for the school spelling bee. A first - second - and third place trophy will be awarded. How many different people can get the three prizes?
75:11
V=l×w×h
10! / 3!(10-3)! = 120
1

41. x^2 = 9. What is the value of x?
16.6666%
53 - 59
The shortest arc between points A and B on a circle'S diameter.
3 - -3

42. 50 < all primes< 60
53 - 59
37.5%
Distance=rate×time or d=rt
Factors are few - multiples are many.

43. Suppose that the graph of f(x) is the result of stretching y=x + 5 away from the x-axis by a factor of 2. What is the new equation for the graph f(x)?
71 - 73 - 79
y = (x + 5)/2
Multiply by 1+x% i.e. 100 x (1+50%)=100x1.5=150
13

44. 70 < all primes< 80
(length)(width)(height)
71 - 73 - 79
A+c<b+c
P(E) = ø

45. How many sides does a hexagon have?
288 (8 9 4)
P(E) = number of favorable outcomes/total number of possible outcomes
6
The empty set - denoted by a circle with a diagonal through it.

46. Write 10 -843 X 10^7 in scientific notation
1.0843 X 10^11
Move the decimal point to the right x places
11 - 13 - 17 - 19
(x+y)(x-y)

47. 1/Ø=null If a>b then
... the square of the ratios of the corresponding sides.
P(E) = number of favorable outcomes/total number of possible outcomes
A<-b
Infinite.

48. What is it called when a point is reflected to the quadrant opposite it (i.e. I to III or II to IV)?
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.
M
A reflection about the origin.
Two angles whose sum is 90.

49. What is a tangent?
(a - b)(a + b)
A tangent is a line that only touches one point on the circumference of a circle.
A reflection about the axis.
12! / 5!7! = 792

50. The reciprocal of any non-zero number is
1/2 times 7/3
1
13
1/x