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GRE Math: All In One

Subjects : gre, math

Instructions:

Answer 50 questions in 15 minutes.
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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. Vertical lines
Positive
28. n = 8 - k = 2. n! / k!(n-k)!
Do not have slopes!
6 : 1 : 2

2. 10^6 has how many zeroes?
The set of output values for a function.
3
= (actual decrease/Original amount) x 100%
6

3. What is a set with no members called?
6
Its last two digits are divisible by 4.
1/x
The empty set - denoted by a circle with a diagonal through it.

4. 30 60 90
x+2xy+y
1:sqrt3:2
3 - 4 - 5
Negative

5. Evaluate (4^3)^2
61 - 67
4096
Infinite.
Do not have slopes!

6. A number is divisible by 6 if...
Diameter(Pi)
Its divisible by 2 and by 3.
8
2 - 3 - 5 - 7 - 11 - 13 - 17 - 19 - 23 - 29

7. 25+2
P(E) =
The sum of digits is divisible by 9.
28
31 - 37

8. If an inequality is multiplied or divided by a negative number....
A= (1/2) b*h
The direction of the inequality is reversed.
Yes - like radicals can be added/subtracted.
10! / (10-3)! = 720

9. What is a major arc?
D=rt so r= d/t and t=d/r
The set of output values for a function.
x-y
The longest arc between points A and B on a circle'S diameter.

10. What is the side length of an equilateral triangle with altitude 6?
180
A=pi*(r^2)
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...
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

11. To decrease a number by x%

V=lwh
1
Multiply by 1-x% i.e. 100 x (1-50%)=100x.5=50

12. What percent of 40 is 22?
The union of A and B.
55%
ODD number
V=lwh

13. a^2 + 2ab + b^2
(a + b)^2
= (actual decrease/Original amount) x 100%
9
1

14. Convert 0.7% to a fraction.
6
31 - 37
7 / 1000
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. The reciprocal of any non-zero #x is
The sum of its digits is divisible by 3.
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...
67 - 71 - 73
1/x

16. 5x^2 - 35x -55 = 0
[(7+ sqrt93) /2] - [(7 - sqrt93) / 2]
27^(-4)
12sqrt2
Its last two digits are divisible by 4.

17. What are the roots of the quadrinomial x^2 + 2x + 1?
62.5%
The two xes after factoring.
y2-y1/x2-x1
7 / 1000

18. bn
4096
4:5
B?b?b (where b is used as a factor n times)
The sum of digits is divisible by 9.

19. Can you simplify sqrt72?
Yes - because you can factor out a perfect square (36). Sqrt(36 x 2) = sqrt36 X sqrt2 = 6sqrt2.
Two (2=)
4:9. The ratio of the areas of two similar triangles equals the square of the ratio of the corresponding sides.
Infinite.

20. What transformation occurs if point C is reflected over the x-axis and then the y-axis?
= (actual decrease/Original amount) x 100%
9
A reflection about the axis.
No - only like radicals can be added.

21. Area of a Parallelogram:
4096
x = [(-b)+/- (sqrt b^2 - 4ac)]/2a
A=(base)(height)
62.5%

22. If a<b - then
x(x - y + 1)
Can be negative - zero - or positive
All numbers which can be expressed as a ratio of two integers. (All integers and fractions.) (-2 - 1 - .25 - 1/2)
A+c<b+c

23. Is neither
All real numbers which can'T be expressed as a ratio of two integers - positive and negative (pi - -sqrt3)
Positive or Negative
Pi(diameter)
2

24. What is the 'Range' of a function?
C = 2(pi)r
1
9 & 6/7
The set of output values for a function.

25. 8.84 / 5.2
1.7
41 - 43 - 47
The two xes after factoring.
(base*height) / 2

26. factored binomial product of (x-y)
x-2xy+y
2
67 - 71 - 73
(distance)/(rate) d/r

27. a^2 - 2ab + b^2
Parallelogram
3
The second graph is less steep.
(a - b)^2

28. Pi is a ratio of what to what?
Pi is the ratio of a circle'S circumference to its diameter.
27
The steeper the slope.
5

29. Obtuse Angle
Cd
angle that is greater than 90 but less than 180
53 - 59
180

30. 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?
X
$3 -500 in the 9% and $2 -500 in the 7%.
The shortest arc between points A and B on a circle'S diameter.
N! / (n-k)!

31. What is the sum of the angles of a triangle?
180 degrees
(12/2) x (sqrt15 / sqrt5) = 6sqrt3
EVEN
A+b=c

32. (12sqrt15) / (2sqrt5) =
(6 x 2)(sqrt3 x sqrt5) = 12sqrt15
1 - 4 - 9 - 16 - 25 - 36 - 49 - 64 - 81 - 100 - 121 - 144 - 169 - 196 - 225
(pi)r
(12/2) x (sqrt15 / sqrt5) = 6sqrt3

33. A cylinder has a surface area of 22pi. If the cylinder has a height of 10 - what is the radius?
An expression with just one term (-6x - 2a^2)
90pi
1
2.592 kg

34. a>b then a - b is positive or negative?
PEMDAS (Parentheses Exponents Multiplication/Division Addition/Subtraction)
A-b is positive
(a + b)^2
A reflection about the origin.

35. The ratio of the areas of two similar polygons is ...
An angle which is supplementary to an interior angle.
Sector area = (n/360) X (pi)r^2
M= (Y1-Y2)/(X1-X2)
... the square of the ratios of the corresponding sides.

36. Positive integers that have exactly 2 positive divisors are
A<-b
Prime numbers (2 - 3 - 5 - 7 - 11 - 13 - 17 - 19 - 23)
All real numbers which can'T be expressed as a ratio of two integers - positive and negative (pi - -sqrt3)
NOT A PRIME

37. (x^2)^4
1:1:sqrt2
P=4s (s=side)
x^(2(4)) =x^8 = (x^4)^2
1/a^6

38. What is the 'Solution' for a system of linear equations?
A percent is a fraction whose denominator is 100.
The point of intersection of the systems.
62.5%
Ab+ac

39. What are the members or elements of a set?
6
(12/2) x (sqrt15 / sqrt5) = 6sqrt3
Expressing a number as the product of a decimal between 1 and 10 - and a power of 10.
The objects within a set.

40. formula for distance problems
Expressing a number as the product of a decimal between 1 and 10 - and a power of 10.
Pi is the ratio of a circle'S circumference to its diameter.
The interesection of A and B.
Distance=ratetime or d=rt

41. Dividing by a number is the same as multiplying it by its
Reciprocal
The sum of its digits is divisible by 3.
x-y

42. Simplify (a^2 + b)^2 - (a^2 - b)^2
The longest arc between points A and B on a circle'S diameter.
A tangent is a line that only touches one point on the circumference of a circle.
4a^2(b)
An is positive

43. For what values should the domain be restricted for the function f(x) = sqrt(x + 8)
8
= 25%. = (actual increase/original amount) x 100% = 20/80 x 100% = 1/4 x 100% = 25%
F(x-c)
(p + q)/5

44. (6sqrt3) x (2sqrt5) =
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.)
An infinite set.
=P(E)=1
(6 x 2)(sqrt3 x sqrt5) = 12sqrt15

45. 4.809 X 10^7 =
D=rt so r= d/t and t=d/r
.0004809 X 10^11
180
360/n

46. Find the surface area of a cylinder with radius 3 and height 12.
53 - 59
N! / (k!)(n-k)!
1
90pi

47. What is an arc of a circle?
(x+y)(x-y)
An arc is a portion of a circumference of a circle.

1/x

48. If a is inversely porportional to b - what does it equal?
an angle that is less than 90
A-b is negative
The graph of 3(x - 1)^2 is a translation (shift) of the graph one unit or space to the right.
Ab=k (k is a constant)

49. formula for volume of a rectangular solid
When we need to avoid having a zero in the denominator or avoid taking the square root of a number.
V=lwh
x-y
48

50. Slope of any line that goes up from left to right
Positive
Ab=k (k is a constant)
[(7+ sqrt93) /2] - [(7 - sqrt93) / 2]
13pi / 2

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