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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. To decrease a number by x%
Multiply by 1-x% i.e. 100 x (1-50%)=100x.5=50
62.5%
Diameter(Pi)
Even prime number

2. To increase a number by x%
The point of intersection of the systems.
X
(2x7)³
Multiply by 1+x% i.e. 100 x (1+50%)=100x1.5=150

3. What is the name for a grouping of the members within a set based on a shared characteristic?
x^(6-3) = x^3
The empty set - denoted by a circle with a diagonal through it.
9
A subset.

4. What transformation occurs if point C is reflected over the x-axis and then the y-axis?
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)
130pi
A reflection about the axis.
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

5. Find distance when given time and rate
x²-2xy+y²
90°
D=rt so r= d/t and t=d/r
1 - P(E)

6. If a lamp decreases to $80 - from $100 - what is the decrease in price?
70
90
= (actual decrease/Original amount) x100% = 20/100x100% = 20%
(6 x 2)(sqrt3 x sqrt5) = 12sqrt15

7. Important properties of a 30-60-90 triangle?
2(pi)r
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
Cd
x^(2(4)) =x^8 = (x^4)^2

8. What is the third quartile of the following data set: 44 - 58 - 63 - 63 - 68 - 70 - 82
72
The sum of the digits is a multiple of 9.
70
Positive

9. If 4500 is invested at a simple interest rate of 6% - what is the value of the investment after 10 months?
x^(6-3) = x^3
3
4725
A-b is positive

10. The percent decrease of a quantity
0
y2-y1/x2-x1
4.25 - 6 - 22
= (actual decrease/Original amount) x 100%

11. Nine coins are tossed simultaneously. In how many of the outcomes will the fourth coin tossed show heads?
True
2^9 / 2 = 256
y = (x + 5)/2
F(x) + c

12. (x^2)^4
67 - 71 - 73
x^(2(4)) =x^8 = (x^4)^2
2^9 / 2 = 256
V=Lwh

13. In a rectangle - all angles are
Right
An arc is a portion of a circumference of a circle.
A multiple of every integer
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

14. 7/8 in percent?
V=l×w×h
x^(6-3) = x^3
87.5%
= 25%. = (actual increase/original amount) x 100% = 20/80 x 100% = 1/4 x 100% = 25%

15. 1:sqrt3:2 is the ratio of the sides of what kind of triangle?
(b + c)
A 30-60-90 triangle.
A= (1/2) b*h
83.333%

16. If a lamp increases from $80 to $100 - what is the percent increase?
A set with no members - denoted by a circle with a diagonal through it.
3 - -3
(a - b)(a + b)
= 25%. = (actual increase/original amount) x 100% = 20/80 x 100% = 1/4 x 100% = 25%

17. Perfect Squares 1-15
(base*height) / 2
360°
1 - 4 - 9 - 16 - 25 - 36 - 49 - 64 - 81 - 100 - 121 - 144 - 169 - 196 - 225
4a^2(b)

18. Volume of a cube
Edge³
An infinite set.
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)
13pi / 2

19. 2³×7³
Ø
3 - 4 - 5
2 - 3 - 5 - 7 - 11 - 13 - 17 - 19 - 23 - 29
(2x7)³

20. Can you add sqrt 3 and sqrt 5?
P=2(l+w)
Triangles with same measure and same side lengths.
23 - 29
No - only like radicals can be added.

21. What are 'Supplementary angles?'
Smallest positive integer
Every number
x²-y²
Two angles whose sum is 180.

22. Evaluate and write as a mixed number: 2/7 - 3/21 + 2 & 4/14
Can be negative - zero - or positive
D/t (distance)/(time)
2 & 3/7
A set with a number of elements which can be counted.

23. Simplify (a^2 + b)^2 - (a^2 - b)^2
4a^2(b)
5 OR -5
26
EVEN

24. If the two sides of a triangle are unequal then the longer side.................
4:5
A percent is a fraction whose denominator is 100.
4:9. The ratio of the areas of two similar triangles equals the square of the ratio of the corresponding sides.
Lies opposite the greater angle

25. What is the intersection of A and B?
(distance)/(rate) d/r
A 30-60-90 triangle.
The set of elements found in both A and B.
A reflection about the origin.

26. What is the slope of a vertical line?

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27. 60 < all primes <70
55%
[(7+ sqrt93) /2] - [(7 - sqrt93) / 2]
61 - 67
= (actual decrease/Original amount) x100% = 20/100x100% = 20%

28. A cylinder has a surface area of 22pi. If the cylinder has a height of 10 - what is the radius?
1
72
41 - 43 - 47
(p + q)/5

29. If y is directly proportional to x - what does it equal?
A= (1/2) b*h
Circumference = Diameter(pi). Use pythagorean theorem to find the diagonal of the square (the diameter).
6
y/x is a constant

30. x^2 = 9. What is the value of x?
Expressing a number as the product of a decimal between 1 and 10 - and a power of 10.
3 - -3
(length)(width)(height)
A reflection about the origin.

31. What are the members or elements of a set?
Two (Ø×2=Ø)
0
The objects within a set.
Triangles with same measure and same side lengths.

32. Vertical lines
Diameter(Pi)
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
2sqrt6
Do not have slopes!

33. How to determine percent decrease?
(amount of decrease/original price) x 100%
90
The two xes after factoring.
The longest arc between points A and B on a circle'S diameter.

34. Simplify the expression [(b^2 - c^2) / (b - c)]
(b + c)
90°
(n-2) x 180
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

35. The objects in a set are called two names:
Members or elements
67 - 71 - 73
An infinite set.
8

36. 25^(1/2) or sqrt. 25 =
A<-b
87.5%
5 OR -5
3

37. The important properties of a 45-45-90 triangle?
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
Even prime number
Parallelogram
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.

38. factored binomial product of (x-y)²
x²-2xy+y²
27
P(E) = number of favorable outcomes/total number of possible outcomes
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)

39. Probability of an Event
16.6666%
(length)(width)(height)
75:11
P(E) = number of favorable outcomes/total number of possible outcomes

40. What is a finite set?
A set with a number of elements which can be counted.
B?b?b (where b is used as a factor n times)
(base*height) / 2
An expression with just one term (-6x - 2a^2)

41. x^6 / x^3
An expression with just one term (-6x - 2a^2)
x^(6-3) = x^3
True
(a + b)^2

42. 3/8 in percent?
37.5%
360/n
The sum of the digits is a multiple of 9.
180°

43. What are the irrational numbers?

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44. What is the 'Solution' for a system of linear equations?
D=rt so r= d/t and t=d/r
The point of intersection of the systems.
0
x²+2xy+y²

45. Slope of any line that goes down as you move from left to right is
Negative
12! / 5!7! = 792
x^(6-3) = x^3
The steeper the slope.

46. (2²)³
A=pi*(r^2)
1
Indeterminable.
26

47. a^2 - b^2
3 - -3
x²-2xy+y²
288 (8 9 4)
(a - b)(a + b)

48. The sum of all angles around a point
X
90
F(x + c)
360°

49. How to recognize a # as a multiple of 3
Arc length = (n/360) x pi(2r) where n is the number of degrees.
1/x
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)
Move the decimal point to the right x places

50. What is the surface area of a cylinder with radius 5 and height 8?
2(pi)r
PEMDAS (Parentheses Exponents Multiplication/Division Addition/Subtraction)
130pi
Its last two digits are divisible by 4.