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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. Which is greater? 27^(-4) or 9^(-8)
4096
53 - 59
(a - b)(a + b)
27^(-4)

2. 8.84 / 5.2
All real numbers which can'T be expressed as a ratio of two integers - positive and negative (pi - -sqrt3)
x²+2xy+y²
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)
1.7

3. (12sqrt15) / (2sqrt5) =
A-b is positive
Ø Ø=Ø
(12/2) x (sqrt15 / sqrt5) = 6sqrt3
441000 = 1 10 10 10 21 * 21

4. What is an arc of a circle?
Two (Ø×2=Ø)
P(E) = ø
An arc is a portion of a circumference of a circle.
72

5. 1n
An arc is a portion of a circumference of a circle.
C = (pi)d
C = 2(pi)r
1

6. How to determine percent decrease?
(base*height) / 2
61 - 67
(amount of decrease/original price) x 100%
A²+b²=c²

7. Perimeter of a rectangle
P= 2L + 2w
27^(-4)
28
A=½bh

8. a^0 =
1:sqrt3:2
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)
55%
1

9. What are congruent triangles?
Triangles with same measure and same side lengths.
A set with no members - denoted by a circle with a diagonal through it.
(length)(width)(height)
x^(6-3) = x^3

10. 3/8 in percent?
37.5%
180°
Factors are few - multiples are many.
Cd

11. (6sqrt3) x (2sqrt5) =
Smallest positive integer
(6 x 2)(sqrt3 x sqrt5) = 12sqrt15
Even prime number
A set with a number of elements which can be counted.

12. Simplify 4sqrt21 X 5sqrt2 / 10sqrt7
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.
2sqrt6
Factors are few - multiples are many.
zero

13. Convert 0.7% to a fraction.
A subset.
7 / 1000
16.6666%
180°

14. How many digits are there between the decimal point and the first even digit in the decimal equivalent of 1/[(2^8)(5^3)]
(length)(width)(height)
3 - -3
6
0

15. 30 60 90
Smallest positive integer
16^8 64^5 = (4^3)^5 = 4^15 16^8=(4^2)^8 = 4^16
1
x - x(SR3) - 2x

16. The objects in a set are called two names:
zero
10! / (10-3)! = 720
Yes - like radicals can be added/subtracted.
Members or elements

17. What is the name of set with a number of elements which cannot be counted?
An infinite set.
angle that is greater than 90° but less than 180°
4a^2(b)
(x+y)(x-y)

18. If 8 schools are in a conference - how many games are played if each team plays each other exactly once?
360°
28. n = 8 - k = 2. n! / k!(n-k)!
The steeper the slope.
NOT A PRIME

19. Simplify the expression (p^2 - q^2)/ -5(q - p)
The greatest value minus the smallest.
71 - 73 - 79
4725
(p + q)/5

20. the measure of a straight angle
x = [(-b)+/- (sqrt b^2 - 4ac)]/2a
180°
Ø
A=(base)(height)

21. Ratio of ages of Anna and Emma is 3:5 and of Emma and Nicolas is 3:5. What is the ratio of Anna to Nicholas' ages?
A central angle is an angle formed by 2 radii.
72
9 : 25
... the square of the ratios of the corresponding sides.

22. What are the irrational numbers?

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23. If Madagascar'S exports totaled 1.3 billion in 2009 - and 4% came from China - what was the value in millions of the country'S exports to China?
52
2^9 / 2 = 256
y = (x + 5)/2
1

24. formula for volume of a rectangular solid
Ø=P(E)=1
V=l×w×h
4096
A reflection about the axis.

25. Acute Angle
4a^2(b)
an angle that is less than 90°
x²-y²
Yes - because you can factor out a perfect square (36). Sqrt(36 x 2) = sqrt36 X sqrt2 = 6sqrt2.

26. What is the third quartile of the following data set: 44 - 58 - 63 - 63 - 68 - 70 - 82
Ø
70
x²+2xy+y²
1/2 times 7/3

27. What is the 'Solution' for a system of linear equations?
1
The point of intersection of the systems.
A grouping of the members within a set based on a shared characteristic.
90°

28. Solve the quadratic equation ax^2 + bx + c= 0
Can be negative - zero - or positive
Ø Ø=Ø
(p + q)/5
x = [(-b)+/- (sqrt b^2 - 4ac)]/2a

29. Evaluate 3& 2/7 / 1/3
9 & 6/7
2
An angle which is supplementary to an interior angle.
Diameter(Pi)

30. When multiplying exponential #s with the same base - you do this to the exponents...
The empty set - denoted by a circle with a diagonal through it.
A central angle is an angle formed by 2 radii.
Add them. i.e. (5^7) * (5^3) = 5^10
Ab+ac

31. 30 60 90
The direction of the inequality is reversed.
Sector area = (n/360) X (pi)r^2
5 - 12 - 13
1.7

32. What is the surface area of a cylinder with radius 5 and height 8?
$11 -448
130pi
The overlapping sections.
Yes - like radicals can be added/subtracted.

33. Legs 5 - 12. Hypotenuse?
3 - 4 - 5
13
All numbers which can be expressed as a ratio of two integers. (All integers and fractions.) (-2 - 1 - .25 - 1/2)
Ø Ø=Ø

34. The negative exponent x?n is equivalent to what?
1/xn i.e. 5^-3 = 1/(5^3) = 1/ 125 = .008
1/x
4a^2(b)
52

35. What does scientific notation mean?
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)
Expressing a number as the product of a decimal between 1 and 10 - and a power of 10.
72
41 - 43 - 47

36. The percent decrease of a quantity
= (actual decrease/Original amount) x 100%
13pi / 2
x²-y²
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...

37. In any polygon - all external angles equal up to
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
360°
x(x - y + 1)
M= (Y1-Y2)/(X1-X2)

38. In a triangle where the two legs are 4 and 3 - what is the value of a line directly intersecting the middle coming from the meeting point of the two legs?
2(pi)r
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
180 degrees
1/xn i.e. 5^-3 = 1/(5^3) = 1/ 125 = .008

39. Area of a triangle
A= (1/2) b*h
1/x
A+c<b+c
Null

40. 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?
13
48
3 - -3
D=rt so r= d/t and t=d/r

41. One is (a prime or not?)
3/2 - 5/3
PEMDAS (Parentheses Exponents Multiplication/Division Addition/Subtraction)
1/x
NOT A PRIME

42. A cylinder has surface area 22pi. If the cylinder has a height of 10 - what is its radius?
1
(n-2) x 180
y = 2x^2 - 3
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)

43. Define a 'monomial'
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
Ø
An expression with just one term (-6x - 2a^2)
Prime numbers (2 - 3 - 5 - 7 - 11 - 13 - 17 - 19 - 23)

44. 1 is a divisor of
28
A multiple of every integer
All real numbers which can'T be expressed as a ratio of two integers - positive and negative (pi - -sqrt3)
Every number

45. b¹
y = 2x^2 - 3
1
2 & 3/7
10! / 3!(10-3)! = 120

46. Simplify (a^2 + b)^2 - (a^2 - b)^2
Its divisible by 2 and by 3.
(amount of decrease/original price) x 100%
4a^2(b)
F(x-c)

47. What is the ratio of the sides of a 30-60-90 triangle?
An algebraic expression is a combination of one of more terms. Terms in an expression are separated by either addition or subtraction signs. (3xy - 4ab - -5cd - x^2 + x - 1)
360°
Cross multiplication a/b=c/d 4/6=10/15 4(15)=6(10) 60=60
1:sqrt3:2

48. Area of a triangle?
x^(4+7) = x^11
A multiple of every integer
(base*height) / 2
3 - -3

49. What is a tangent?
Yes - because you can factor out a perfect square (36). Sqrt(36 x 2) = sqrt36 X sqrt2 = 6sqrt2.
54sqrt3. (divide the hexagon into 6 congruent equilateral triangles.
7 / 1000
A tangent is a line that only touches one point on the circumference of a circle.

50. Consecutive integers
Pi is the ratio of a circle'S circumference to its diameter.
360°
x - x+1 - x+2
F(x-c)