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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. If a=-1 and b=3 - what is the value of (4(a^3)(b^2) - 12(a^2)(b^5)) / (16(a^3)(b^2))?
X
2.592 kg
A²+b²=c²
20.5

2. If a lamp decreases to $80 - from $100 - what is the decrease in price?
= (actual decrease/Original amount) x100% = 20/100x100% = 20%
(x+y)(x+y)
70
(a - b)(a + b)

3. What is the surface area of a cylinder with radius 5 and height 8?
28
The point of intersection of the systems.
130pi
Two equal sides and two equal angles.

4. Factor a^2 + 2ab + b^2
(a + b)^2
Null
x²+2xy+y²
A=(base)(height)

5. What is the graph of f(x) shifted upward c units or spaces?
Expressing a number as the product of a decimal between 1 and 10 - and a power of 10.
75:11
F(x) + c
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.

6. Formula to find a circle'S circumference from its diameter?
180°
Ab=k (k is a constant)
C = (pi)d
x^(2(4)) =x^8 = (x^4)^2

7. -3²
(n-2) x 180
9
28. n = 8 - k = 2. n! / k!(n-k)!
4:5

8. (6sqrt3) x (2sqrt5) =
48
6 : 1 : 2
(6 x 2)(sqrt3 x sqrt5) = 12sqrt15
= 25%. = (actual increase/original amount) x 100% = 20/80 x 100% = 1/4 x 100% = 25%

9. The percent decrease of a quantity
(a - b)^2
53 - 59
= (actual decrease/Original amount) x 100%
(b + c)

10. What is the slope of a vertical line?

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11. (x-y)(x+y)
zero
PEMDAS (Parentheses Exponents Multiplication/Division Addition/Subtraction)
x²-y²
Pi(diameter)

12. What is the measure of an exterior angle of a regular pentagon?
31 - 37
180°
zero
72

13. For any number x
3/2 - 5/3
x²-y²
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.
Can be negative - zero - or positive

14. Volume of a cube
2^9 / 2 = 256
3
Edge³
12! / 5!7! = 792

15. formula for volume of a rectangular solid
V=l×w×h
.0004809 X 10^11
3 - 4 - 5
A chord is a line segment joining two points on a circle.

16. How to determine percent decrease?
(12/2) x (sqrt15 / sqrt5) = 6sqrt3
(amount of decrease/original price) x 100%
A central angle is an angle formed by 2 radii.
67 - 71 - 73

17. Area of a rectangle
A = length x width
N! / (k!)(n-k)!
1
(n-2) x 180

18. If a lamp increases from $80 to $100 - what is the percent increase?
1/a^6
Multiply by 1-x% i.e. 100 x (1-50%)=100x.5=50
= 25%. = (actual increase/original amount) x 100% = 20/80 x 100% = 1/4 x 100% = 25%
PEMDAS (Parentheses Exponents Multiplication/Division Addition/Subtraction)

19. Convert 0.7% to a fraction.
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)
The set of elements found in both A and B.
an angle that is less than 90°
7 / 1000

20. What is the order of operations?
A=(base)(height)
9 & 6/7
PEMDAS (Parentheses Exponents Multiplication/Division Addition/Subtraction)
Cd

21. What number between 70 & 75 - inclusive - has the greatest number of factors?
72
360/n
0
13

22. One is (a prime or not?)
N! / (n-k)!
72
NOT A PRIME
500

23. 10^6 has how many zeroes?
Ab=k (k is a constant)
90
6
1:1:sqrt2

24. The larger the absolute value of the slope...
Even prime number
Ø Ø=Ø
$3 -500 in the 9% and $2 -500 in the 7%.
The steeper the slope.

25. Define a 'Term' -
Positive or Negative
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)
Diameter(Pi)
x^(2(4)) =x^8 = (x^4)^2

26. Perimeter of a rectangle
= (actual decrease/Original amount) x100% = 20/100x100% = 20%
The direction of the inequality is reversed.
23 - 29
P= 2L + 2w

27. (x^2)^4
72
.0004809 X 10^11
The interesection of A and B.
x^(2(4)) =x^8 = (x^4)^2

28. Write 10 -843 X 10^7 in scientific notation
Be Zero!
Subtract them. i.e (5^7)/(5^3)= 5^4
1.0843 X 10^11
Ø=P(E)=1

29. Number of degrees in a triangle
180
The greatest value minus the smallest.
A=pi*(r^2)
(pi)r²

30. What are the smallest three prime numbers greater than 65?
67 - 71 - 73
75:11
Every number
3

31. 1 is an
9 : 25
The sum of the digits is a multiple of 9.
ODD number
V=side³

32. A cylinder has a surface area of 22pi. If the cylinder has a height of 10 - what is the radius?
P(E) = 1/1 = 1
1
All real numbers which can'T be expressed as a ratio of two integers - positive and negative (pi - -sqrt3)
Triangles with same measure and same side lengths.

33. How many 3-digit positive integers are even and do not contain the digit 4?
(amount of decrease/original price) x 100%
288 (8 9 4)
Ab+ac
x - x(SR3) - 2x

34. 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?
Two angles whose sum is 90.
= (actual decrease/Original amount) x100% = 20/100x100% = 20%
Straight Angle
10! / 3!(10-3)! = 120

35. When dividing exponential #s with the same base - you do this to the exponents...
Subtract them. i.e (5^7)/(5^3)= 5^4
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.)
A chord is a line segment joining two points on a circle.
6

36. For what values should the domain be restricted for the function f(x) = sqrt(x + 8)
1
1:sqrt3:2
When we need to avoid having a zero in the denominator or avoid taking the square root of a number.
8

37. Vertical lines
20.5
Do not have slopes!
Lies opposite the greater angle
P(E) = 1/1 = 1

38. What is the 'Solution' for a system of linear equations?
The point of intersection of the systems.
4a^2(b)
Move the decimal point to the right x places
Positive

39. If a is positive - an is
71 - 73 - 79
1:sqrt3:2
72
Positive

40. What is the graph of f(x) shifted right c units or spaces?
Lies opposite the greater angle
13pi / 2
(a - b)(a + b)
F(x-c)

41. Describe the relationship between the graphs of x^2 and (1/2)x^2
Negative
Factors are few - multiples are many.
The second graph is less steep.
Undefined - because we can'T divide by 0.

42. Ø Is
EVEN
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=pi*(r^2)
A central angle is an angle formed by 2 radii.

43. 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
Cross multiplication a/b=c/d 4/6=10/15 4(15)=6(10) 60=60
x²-2xy+y²
y = (x + 5)/2

44. binomial product of (x-y)²
52
(x+y)(x-y)
3
288 (8 9 4)

45. What are congruent triangles?
x²-2xy+y²
6
Triangles with same measure and same side lengths.
Reciprocal

46. What is an isoceles triangle?
Two equal sides and two equal angles.
Two angles whose sum is 180.
1.7
x²+2xy+y²

47. Nine coins are tossed simultaneously. In how many of the outcomes will the fourth coin tossed show heads?
87.5%
V=Lwh
Members or elements
2^9 / 2 = 256

48. If you have a set of n objects - but you only want to order k of them - what formula do you use to determine the number of permutations?
5
N! / (n-k)!
A reflection about the origin.
The set of elements which can be found in either A or B.

49. 2 is the only
8
Even prime number
27
61 - 67

50. Which is greater? 200x^295 or 10x^294?
... the square of the ratios of the corresponding sides.
Relationship cannot be determined (what if x is negative?)
12! / 5!7! = 792
A=pi*(r^2)