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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. P and r are factors of 100. What is greater - pr or 100?
x = [(-b)+/- (sqrt b^2 - 4ac)]/2a
Indeterminable.
28
54sqrt3. (divide the hexagon into 6 congruent equilateral triangles.

2. Probability of E not occurring:
Do not have slopes!
2²
x = [(-b)+/- (sqrt b^2 - 4ac)]/2a
1 - P(E)

3. What is the relationship between lengths of the sides of a triangle and the measure of the angles of the triangle?
(base*height) / 2
Do not have slopes!
7 / 1000
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.

4. What are the rational numbers?
No - only like radicals can be added.
All numbers which can be expressed as a ratio of two integers. (All integers and fractions.) (-2 - 1 - .25 - 1/2)
$3 -500 in the 9% and $2 -500 in the 7%.
x - x+1 - x+2

5. 25+2³
F(x) + c
Yes - like radicals can be added/subtracted.
(distance)/(rate) d/r
28

6. Define a 'Term' -
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 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)
Positive
y2-y1/x2-x1

7. What is the graph of f(x) shifted right c units or spaces?
360°
The sum of the digits it a multiple of 3 and the last two digits is a multiple of 4. (i.e 144: 1+4+4=9 which is a multiple of 3 - and 44 is a multiple of 4 - so 144 is a multiple of 12.)
F(x-c)
A set with a number of elements which can be counted.

8. What is a minor arc?

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9. 20<all primes<30
72
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.
23 - 29
Two angles whose sum is 180.

10. Area of a circle
6
(pi)r²
90°
The sum of the digits is a multiple of 9.

11. If y is directly proportional to x - what does it equal?
D/t (distance)/(time)
The greatest value minus the smallest.
13pi / 2
y/x is a constant

12. Find distance when given time and rate
A tangent is a line that only touches one point on the circumference of a circle.
360°
Be Zero!
D=rt so r= d/t and t=d/r

13. 1/6 in percent?
Two (Ø×2=Ø)
360°
16.6666%
2 - 3 - 5 - 7 - 11 - 13 - 17 - 19 - 23 - 29

14. What is the name for a grouping of the members within a set based on a shared characteristic?
Relationship cannot be determined (what if x is negative?)
62.5%
A subset.
... the square of the ratios of the corresponding sides.

15. 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?
54sqrt3. (divide the hexagon into 6 congruent equilateral triangles.
4:9. The ratio of the areas of two similar triangles equals the square of the ratio of the corresponding sides.
500
Two angles whose sum is 180.

16. What is an isoceles triangle?
A multiple of every integer
(b + c)
Two equal sides and two equal angles.
P(E) = number of favorable outcomes/total number of possible outcomes

17. Area of a rectangle
A = length x width
16^8 64^5 = (4^3)^5 = 4^15 16^8=(4^2)^8 = 4^16
Every number
2²

18. Ø is a multiple of
13
Two (Ø×2=Ø)
C = (pi)d
Multiply by 1-x% i.e. 100 x (1-50%)=100x.5=50

19. What is the third quartile of the following data set: 44 - 58 - 63 - 63 - 68 - 70 - 82
M= (Y1-Y2)/(X1-X2)
V=l×w×h
70
The union of A and B.

20. If Event is impossible
The sum of digits is divisible by 9.
P(E) = ø
Positive
5 OR -5

21. 1 is an
A=½bh
angle that is greater than 90° but less than 180°
ODD number
.0004809 X 10^11

22. 2³×7³
The sum of digits is divisible by 9.
(2x7)³
1/x
Sector area = (n/360) X (pi)r^2

23. What is the graph of f(x) shifted downward c units or spaces?
The set of elements found in both A and B.
An expression with just one term (-6x - 2a^2)
F(x) - c
EVEN

24. What is an arc of a circle?
F(x) - c
An arc is a portion of a circumference of a circle.
55%
0

25. How to recognize a # as a multiple of 9
1/xn i.e. 5^-3 = 1/(5^3) = 1/ 125 = .008
4.25 - 6 - 22
The sum of the digits is a multiple of 9.
$11 -448

26. What is the area of a regular hexagon with side 6?
6 : 1 : 2
The longest arc between points A and B on a circle'S diameter.
1 - P(E)
54sqrt3. (divide the hexagon into 6 congruent equilateral triangles.

27. The sum of the measures of the n angles in a polygon with n sides
10! / 3!(10-3)! = 120
Smallest positive integer
(n-2) x 180
The sum of the digits is a multiple of 9.

28. The ratio of the areas of two similar polygons is ...
... the square of the ratios of the corresponding sides.
Ø
x - x(SR3) - 2x
(a - b)(a + b)

29. Positive integers that have exactly 2 positive divisors are
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)
The empty set - denoted by a circle with a diagonal through it.
Prime numbers (2 - 3 - 5 - 7 - 11 - 13 - 17 - 19 - 23)
Multiply by 1+x% i.e. 100 x (1+50%)=100x1.5=150

30. x^4 + x^7 =
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.
P= 2L + 2w
180
x^(4+7) = x^11

31. 1:1:sqrt2 is the ratio of the sides of what kind of triangle?
EVEN
The shortest arc between points A and B on a circle'S diameter.
x²-2xy+y²
An isosceles right triangle.

32. 1/2 divided by 3/7 is the same as
V=l×w×h
Reciprocal
1/2 times 7/3
= 25%. = (actual increase/original amount) x 100% = 20/80 x 100% = 1/4 x 100% = 25%

33. (x^2)^4
x^(2(4)) =x^8 = (x^4)^2
Triangles with same measure and same side lengths.
The sum of digits is divisible by 9.
12sqrt2

34. Rate
$3 -500 in the 9% and $2 -500 in the 7%.
A-b is negative
Two equal sides and two equal angles.
D/t (distance)/(time)

35. 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))?
20.5
(x+y)(x+y)
Lies opposite the greater angle
X

36. What is a percent?
0
The set of elements found in both A and B.
A percent is a fraction whose denominator is 100.
6 : 1 : 2

37. What percent of 40 is 22?
1
55%
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
(a - b)(a + b)

38. 8.84 / 5.2
V=l×w×h
y/x is a constant
1.7
zero

39. In a Regular Polygon - the measure of each exterior angle
360/n
A-b is negative
an angle that is less than 90°
2 & 3/7

40. the slope of a line in y=mx+b
M
2 - 3 - 5 - 7 - 11 - 13 - 17 - 19 - 23 - 29
X
1:1:sqrt2

41. (x-y)(x+y)
x²-y²
A natural number greater than 1 that has no positive divisors other than 1 and itself
A-b is positive
10

42. Which is greater? 200x^295 or 10x^294?
1/x
Relationship cannot be determined (what if x is negative?)
Distance=rate×time or d=rt
54sqrt3. (divide the hexagon into 6 congruent equilateral triangles.

43. 2 is the only
Even prime number
1
The shortest arc between points A and B on a circle'S diameter.
(base*height) / 2

44. formula for area of a triangle
All numbers which can be expressed as a ratio of two integers. (All integers and fractions.) (-2 - 1 - .25 - 1/2)
27^(-4)
A=½bh
The graph of 3(x - 1)^2 is a translation (shift) of the graph one unit or space to the right.

45. 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
an angle that is less than 90°
True
An expression with just one term (-6x - 2a^2)

46. A prime number (or a prime)
Infinite.
2²
A=(base)(height)
A natural number greater than 1 that has no positive divisors other than 1 and itself

47. a^2 + 2ab + b^2
(a + b)^2
A=(base)(height)
0
87.5%

48. The consecutive angles in a parallelogram equal
(base*height) / 2
180°
27
288 (8 9 4)

49. What is the name of set with a number of elements which cannot be counted?
(base*height) / 2
An infinite set.
Members or elements
(x+y)(x-y)

50. What is a finite set?
x²-2xy+y²
6 : 1 : 2
A set with a number of elements which can be counted.
$3 -500 in the 9% and $2 -500 in the 7%.