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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. 20<all primes<30
An infinite set.
Every number
10
23 - 29

2. Any Horizontal line slope
1:1:sqrt2
(distance)/(rate) d/r
Parallelogram
zero

3. Slope of any line that goes down as you move from left to right is
Negative
27
A natural number greater than 1 that has no positive divisors other than 1 and itself
Indeterminable.

4. What is a finite set?
A-b is negative
M= (Y1-Y2)/(X1-X2)
A set with a number of elements which can be counted.
4.25 - 6 - 22

5. 1 is the
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
An arc is a portion of a circumference of a circle.
= (actual decrease/Original amount) x100% = 20/100x100% = 20%
Smallest positive integer

6. The percent decrease of a quantity
A natural number greater than 1 that has no positive divisors other than 1 and itself
P(E) = 1/1 = 1
Negative
= (actual decrease/Original amount) x 100%

7. Suppose that the graph of f(x) is the result of stretching y=x + 5 away from the x-axis by a factor of 2. What is the new equation for the graph f(x)?
An is positive
1 - P(E)
2^9 / 2 = 256
y = (x + 5)/2

8. Ø²
Ø
72
A=pi*(r^2)
Expressing a number as the product of a decimal between 1 and 10 - and a power of 10.

9. Simplify 4sqrt21 X 5sqrt2 / 10sqrt7
13pi / 2
Add them. i.e. (5^7) * (5^3) = 5^10
2sqrt6
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.

10. In similar hexagons - the ratio of the areas is 16:25. What is the ratio of their corresponding sides?
Multiply by 1-x% i.e. 100 x (1-50%)=100x.5=50
4:5
Its last two digits are divisible by 4.
1/2 times 7/3

11. 3/8 in percent?
1:sqrt3:2
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.
1/2 times 7/3
37.5%

12. If E is certain
No - only like radicals can be added.
P(E) = 1/1 = 1
The sum of the digits is a multiple of 9.
y2-y1/x2-x1

13. How to recognize a multiple of 6
Undefined - because we can'T divide by 0.
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
Sum of digits is a multiple of 3 and the last digit is even.
Sector area = (n/360) X (pi)r^2

14. How to find the circumference of a circle which circumscribes a square?
Ø
$11 -448
(2x7)³
Circumference = Diameter(pi). Use pythagorean theorem to find the diagonal of the square (the diameter).

15. 30< all primes<40
31 - 37
(x+y)(x+y)
Cd
(pi)r²

16. a(b+c)
Cd
Ab+ac
A=½bh
Two angles whose sum is 90.

17. If the two sides of a triangle are unequal then the longer side.................
Indeterminable.
Lies opposite the greater angle
The two xes after factoring.
26

18. What is the ratio of the sides of an isosceles right triangle?
360°
A=pi*(r^2)
Parallelogram
1:1:sqrt2

19. a^2 + 2ab + b^2
(a + b)^2
P= 2L + 2w
1
x²-y²

20. Describe the relationship between 3x^2 and 3(x - 1)^2
3 - 4 - 5
The graph of 3(x - 1)^2 is a translation (shift) of the graph one unit or space to the right.
10! / (10-3)! = 720
1 - P(E)

21. What are the integers?
Positive
Its last two digits are divisible by 4.
A+c<b+c
All numbers multiples of 1.

22. In a rectangle - all angles are
The interesection of A and B.
1
x^(2(4)) =x^8 = (x^4)^2
Right

23. To multiply a number by 10^x
(12/2) x (sqrt15 / sqrt5) = 6sqrt3
M= (Y1-Y2)/(X1-X2)
Move the decimal point to the right x places
Positive

24. A number is divisible by 4 is...
Its last two digits are divisible by 4.
Two angles whose sum is 180.
Yes - because you can factor out a perfect square (36). Sqrt(36 x 2) = sqrt36 X sqrt2 = 6sqrt2.
A-b is positive

25. What is the 'Solution' for a system of linear equations?
180°
The point of intersection of the systems.
EVEN
Members or elements

26. a^0 =
1
11 - 13 - 17 - 19
(a - b)(a + b)
$3 -500 in the 9% and $2 -500 in the 7%.

27. 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?
N! / (n-k)!
(distance)/(rate) d/r
An expression with just one term (-6x - 2a^2)
A-b is positive

28. 2³×7³
(base*height) / 2
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
(2x7)³

29. Factor a^2 + 2ab + b^2
A central angle is an angle formed by 2 radii.
(a + b)^2
Its last two digits are divisible by 4.
Ø

30. 1/6 in percent?
Two angles whose sum is 180.
(6 x 2)(sqrt3 x sqrt5) = 12sqrt15
16.6666%
N! / (n-k)!

31. 30 60 90
3 - 4 - 5
4a^2(b)
1
A multiple of every integer

32. To decrease a number by x%
x - x(SR3) - 2x
An is positive
Distance=rate×time or d=rt
Multiply by 1-x% i.e. 100 x (1-50%)=100x.5=50

33. What is the name for a grouping of the members within a set based on a shared characteristic?
53 - 59
Relationship cannot be determined (what if x is negative?)
A subset.
N! / (n-k)!

34. When multiplying exponential #s with the same base - you do this to the exponents...
90°
Add them. i.e. (5^7) * (5^3) = 5^10
P(E) = 1/1 = 1
2 & 3/7

35. What is an exterior angle?
An angle which is supplementary to an interior angle.
Lies opposite the greater angle
.0004809 X 10^11
All numbers which can be expressed as a ratio of two integers. (All integers and fractions.) (-2 - 1 - .25 - 1/2)

36. the slope of a line in y=mx+b
(pi)r²
(x+y)(x+y)
0
M

37. For what values should the domain be restricted for the function f(x) = sqrt(x + 8)
The interesection of A and B.
[(7+ sqrt93) /2] - [(7 - sqrt93) / 2]
8
Arc length = (n/360) x pi(2r) where n is the number of degrees.

38. What is the 'union' of A and B?
The objects within a set.
12! / 5!7! = 792
1:1:sqrt2
The set of elements which can be found in either A or B.

39. How many multiples does a given number have?
Infinite.
10
Yes - like radicals can be added/subtracted.
A reflection about the origin.

40. 30 60 90
x - x(SR3) - 2x
Members or elements
3
The overlapping sections.

41. binomial product of (x+y)²
(rate)(time) d=rt
The set of output values for a function.
(x+y)(x+y)
Every number

42. formula for volume of a rectangular solid
0
x²-2xy+y²
V=l×w×h
1

43. If a<b - then
Ab+ac
A+c<b+c
y/x is a constant
3x - 4x - 5x

44. X is the opposite of
75:11
X
Two equal sides and two equal angles.
The interesection of A and B.

45. The Perimeter of a Square
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...
A = pi(r^2)
(rate)(time) d=rt
P=4s (s=side)

46. What is the order of operations?
Cd
61 - 67
PEMDAS (Parentheses Exponents Multiplication/Division Addition/Subtraction)
288 (8 9 4)

47. 200 <_ x <_ 300. How many values of x are divisible by 5 & 8?
1/2 times 7/3
A subset.
28
3

48. formula for the volume of a cube
N! / (k!)(n-k)!
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
V=side³
A-b is positive

49. What is the 'Solution' for a set of inequalities.
The set of output values for a function.
The overlapping sections.
x = [(-b)+/- (sqrt b^2 - 4ac)]/2a
A subset.

50. Probability of E not occurring:
x - x(SR3) - 2x
x - x+1 - x+2
1 - P(E)
1

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GRE Math: All In One

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