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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. If a product of two numbers is Ø - one number must be
x = [(-b)+/- (sqrt b^2 - 4ac)]/2a
Ø
V=side³
An is positive

2. What is the 'domain' of a function?
The set of input values for a function.
Relationship cannot be determined (what if x is negative?)
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.)
90pi

3. If a is inversely porportional to b - what does it equal?
1
Ab=k (k is a constant)
ODD number
0

4. Rate
... the square of the ratios of the corresponding sides.
D/t (distance)/(time)
67 - 71 - 73
Factors are few - multiples are many.

5. What is the graph of f(x) shifted upward c units or spaces?
F(x) + c
Distance=rate×time or d=rt
The sum of its digits is divisible by 3.
3

6. If E is certain
P(E) = 1/1 = 1
360°
83.333%
A tangent is a line that only touches one point on the circumference of a circle.

7. Important properties of a 30-60-90 triangle?
360°
(p + q)/5
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
Arc length = (n/360) x pi(2r) where n is the number of degrees.

8. 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?
62.5%
27
N! / (n-k)!
Subtract them. i.e (5^7)/(5^3)= 5^4

9. The sum of the angles in a quadrilateral is
500
A set with a number of elements which can be counted.
3x - 4x - 5x
360°

10. a(b+c)
Ab+ac
All numbers multiples of 1.
3x - 4x - 5x
The objects within a set.

11. What is the name for a grouping of the members within a set based on a shared characteristic?
(x+y)(x-y)
P(E) = ø
A subset.
F(x) + c

12. How to recognize a multiple of 6
Sum of digits is a multiple of 3 and the last digit is even.
Undefined
x²-2xy+y²
= 25%. = (actual increase/original amount) x 100% = 20/80 x 100% = 1/4 x 100% = 25%

13. Ø divided by 7
(rate)(time) d=rt
Ø
The graph of 3(x - 1)^2 is a translation (shift) of the graph one unit or space to the right.
9 & 6/7

14. 50 < all primes< 60
3/2 - 5/3
Positive
53 - 59
10! / (10-3)! = 720

15. In similar hexagons - the ratio of the areas is 16:25. What is the ratio of their corresponding sides?
4:5
16^8 64^5 = (4^3)^5 = 4^15 16^8=(4^2)^8 = 4^16
A<-b
All numbers multiples of 1.

16. What is the side length of an equilateral triangle with altitude 6?
72
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...
1/x
11 - 13 - 17 - 19

17. T or F? Given d -e &f =/ 0 - [(d^3)e(f^5)] / 2d(e^3) / [3(d^2)(e^3)(f^7)] / [6(e^5)(f^2)]?
3 - 4 - 5
Expressing a number as the product of a decimal between 1 and 10 - and a power of 10.
31 - 37
True

18. In a Rectangle - each angles measures
Two angles whose sum is 90.
90°
16.6666%
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.

19. How many sides does a hexagon have?
(amount of decrease/original price) x 100%
Sector area = (n/360) X (pi)r^2
6
A = pi(r^2)

20. (x-y)(x+y)
Parallelogram
x²-y²
x^(2(4)) =x^8 = (x^4)^2
ODD number

21. Product of any number and Ø is
(amount of decrease/original price) x 100%
Ø
Arc length = (n/360) x pi(2r) where n is the number of degrees.
1:sqrt3:2

22. 0^0
A central angle is an angle formed by 2 radii.
Diameter(Pi)
Undefined
12! / 5!7! = 792

23. 30 60 90
3 - 4 - 5
13pi / 2
1
500

24. Ø is a multiple of
Two (Ø×2=Ø)
A+c<b+c
No - only like radicals can be added.
1

25. There are 10 finalists for the school spelling bee. A first - second - and third place trophy will be awarded. How many different people can get the three prizes?
x²+2xy+y²
27
zero
10! / 3!(10-3)! = 120

26. To multiply a number by 10^x
Ab+ac
5 OR -5
Move the decimal point to the right x places
A 30-60-90 triangle.

27. Write 10 -843 X 10^7 in scientific notation
All real numbers which can'T be expressed as a ratio of two integers - positive and negative (pi - -sqrt3)
y = (x + 5)/2
1.0843 X 10^11
1 - P(E)

28. What does scientific notation mean?
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)
Cross multiplication a/b=c/d 4/6=10/15 4(15)=6(10) 60=60
Expressing a number as the product of a decimal between 1 and 10 - and a power of 10.
1:sqrt3:2

29. 25+2³
28
0
An is positive
x^(6-3) = x^3

30. X is the opposite of
3 - 4 - 5
C = (pi)d
X
83.333%

31. A cylinder has a surface area of 22pi. If the cylinder has a height of 10 - what is the radius?
1
9 & 6/7
62.5%
When we need to avoid having a zero in the denominator or avoid taking the square root of a number.

32. The negative exponent x?n is equivalent to what?
(base*height) / 2
62.5%
12! / 5!7! = 792
1/xn i.e. 5^-3 = 1/(5^3) = 1/ 125 = .008

33. a<b then a - b is positive or negative?
1:1:sqrt2
A-b is negative
54sqrt3. (divide the hexagon into 6 congruent equilateral triangles.
Its last two digits are divisible by 4.

34. A prime number (or a prime)
A natural number greater than 1 that has no positive divisors other than 1 and itself
Two angles whose sum is 90.
4:9. The ratio of the areas of two similar triangles equals the square of the ratio of the corresponding sides.
16^8 64^5 = (4^3)^5 = 4^15 16^8=(4^2)^8 = 4^16

35. The four angles around a point measure y - 2y - 35 and 55 respectively. What is the value of y?
Undefined - because we can'T divide by 0.
An expression with just one term (-6x - 2a^2)
90
Every number

36. How many digits are there between the decimal point and the first even digit in the decimal equivalent of 1/[(2^8)(5^3)]
61 - 67
2.592 kg
0
The sum of its digits is divisible by 3.

37. Describe the relationship between the graphs of x^2 and (1/2)x^2
The second graph is less steep.
72
28. n = 8 - k = 2. n! / k!(n-k)!
180

38. A company places a 6-symbol code on each product. The code consists of the letter T - followed by 3 numerical digits - and then 2 consonants (Y is a conson). How many codes are possible?
180 degrees
288 (8 9 4)
The sum of its digits is divisible by 3.
441000 = 1 10 10 10 21 * 21

39. 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)?
y = (x + 5)/2
Arc length = (n/360) x pi(2r) where n is the number of degrees.
A natural number greater than 1 that has no positive divisors other than 1 and itself
Ø

40. What is it called when a point is reflected to the quadrant opposite it (i.e. I to III or II to IV)?
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.
The set of input values for a function.
360°
A reflection about the origin.

41. 2 is the only
The overlapping sections.
Even prime number
The two xes after factoring.
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)

42. To increase a number by x%
Multiply by 1+x% i.e. 100 x (1+50%)=100x1.5=150
4:9. The ratio of the areas of two similar triangles equals the square of the ratio of the corresponding sides.
26
5

43. Describe the relationship between 3x^2 and 3(x - 1)^2
3
The graph of 3(x - 1)^2 is a translation (shift) of the graph one unit or space to the right.
Ø
y = (x + 5)/2

44. The Denominator can never
Right
Be Zero!
Positive
Expressing a number as the product of a decimal between 1 and 10 - and a power of 10.

45. Area of a circle
zero
1:sqrt3:2
(pi)r²
5 OR -5

46. 10<all primes<20
The greatest value minus the smallest.
11 - 13 - 17 - 19
500
an angle that is less than 90°

47. How to recognize a # as a multiple of 3
4096
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)
The set of elements found in both A and B.
A-b is negative

48. a^2 - 2ab + b^2
C = (pi)d
(a - b)^2
V=Lwh
A 30-60-90 triangle.

49. For what values should the domain be restricted for the function f(x) = sqrt(x + 8)
8
(6 x 2)(sqrt3 x sqrt5) = 12sqrt15
Ø
C=2 x pi x r OR pi x D

50. In a rectangle - all angles are
1/2 times 7/3
A natural number greater than 1 that has no positive divisors other than 1 and itself
Right
B?b?b (where b is used as a factor n times)

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GRE Math: All In One

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