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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. What is a subset?
A grouping of the members within a set based on a shared characteristic.
Multiply by 1-x% i.e. 100 x (1-50%)=100x.5=50
B?b?b (where b is used as a factor n times)
Two angles whose sum is 180.

2. Ø is a multiple of
Every number
5 - 12 - 13
A central angle is an angle formed by 2 radii.
75:11

3. (x+y)²
12.5%
31 - 37
360/n
x²+2xy+y²

4. Ø Is
Null
2 - 3 - 5 - 7 - 11 - 13 - 17 - 19 - 23 - 29
Add them. i.e. (5^7) * (5^3) = 5^10
EVEN

5. How to recognize a # as a multiple of 3
1.0843 X 10^11
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)
Positive
1:sqrt3:2

6. What are the members or elements of a set?
The objects within a set.
12! / 5!7! = 792
The sum of its digits is divisible by 3.
5 - 12 - 13

7. What is the graph of f(x) shifted downward c units or spaces?
F(x) + c
F(x) - c
13pi / 2
1 & 37/132

8. 25+2³
180
28
True
(6 x 2)(sqrt3 x sqrt5) = 12sqrt15

9. Whats the difference between factors and multiples?
(n-2) x 180
Even
1/x
Factors are few - multiples are many.

10. Obtuse Angle
8
angle that is greater than 90° but less than 180°
Expressing a number as the product of a decimal between 1 and 10 - and a power of 10.
(p + q)/5

11. a^0 =
1
4096
A = pi(r^2)
Pi(diameter)

12. The sum of the angles in a quadrilateral is
(rate)(time) d=rt
360°
Yes - because you can factor out a perfect square (36). Sqrt(36 x 2) = sqrt36 X sqrt2 = 6sqrt2.
2^9 / 2 = 256

13. What is the intersection of A and B?
The set of elements found in both A and B.
A tangent is a line that only touches one point on the circumference of a circle.
1/x
67 - 71 - 73

14. A number is divisible by 4 is...
Reciprocal
4096
The sum of its digits is divisible by 3.
Its last two digits are divisible by 4.

15. Ø²
No - only like radicals can be added.
Ø
EVEN
2 - 3 - 5 - 7 - 11 - 13 - 17 - 19 - 23 - 29

16. What is the 'Range' of a function?
The interesection of A and B.
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 chord is a line segment joining two points on a circle.
The set of output values for a function.

17. What transformation occurs if point C is reflected over the x-axis and then the y-axis?
The set of elements which can be found in either A or B.
A reflection about the axis.
5
28. n = 8 - k = 2. n! / k!(n-k)!

18. What is the maximum value for the function g(x) = (-2x^2) -1?
1
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.
X
angle that is greater than 90° but less than 180°

19. What is the coefficient of the x^2 term in the product of (x + 1)(x + 2)(x -1)?
16.6666%
Sector area = (n/360) X (pi)r^2
2
C=2 x pi x r OR pi x D

20. Evaluate and write as a mixed number: 2/7 - 3/21 + 2 & 4/14
500
Negative
Even prime number
2 & 3/7

21. Which is greater? 27^(-4) or 9^(-8)
27^(-4)
16^8 64^5 = (4^3)^5 = 4^15 16^8=(4^2)^8 = 4^16
P(E) = ø
All numbers multiples of 1.

22. Can you simplify sqrt72?
Yes - because you can factor out a perfect square (36). Sqrt(36 x 2) = sqrt36 X sqrt2 = 6sqrt2.
70
All numbers multiples of 1.
= (actual decrease/Original amount) x100% = 20/100x100% = 20%

23. What are the roots of the quadrinomial x^2 + 2x + 1?
48
x²-y²
Smallest positive integer
The two xes after factoring.

24. In a Regular Polygon - the measure of each exterior angle
360/n
A percent is a fraction whose denominator is 100.
N! / (n-k)!
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.)

25. Vertical lines
360°
(a + b)^2
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.)
Do not have slopes!

26. Which is greater? 200x^295 or 10x^294?
A 30-60-90 triangle.
All numbers which can be expressed as a ratio of two integers. (All integers and fractions.) (-2 - 1 - .25 - 1/2)
A reflection about the axis.
Relationship cannot be determined (what if x is negative?)

27. What is the area of a regular hexagon with side 6?
130pi
True
54sqrt3. (divide the hexagon into 6 congruent equilateral triangles.
All numbers multiples of 1.

28. 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?
31 - 37
10! / 3!(10-3)! = 120
The sum of the digits is a multiple of 9.
y/x is a constant

29. Circumference of a circle?
V=side³
Diameter(Pi)
angle that is greater than 90° but less than 180°
1/xn i.e. 5^-3 = 1/(5^3) = 1/ 125 = .008

30. a>b then a - b is positive or negative?
Ab-ac
A-b is positive
V=Lwh
EVEN

31. binomial product of (x+y)²
An is positive
(x+y)(x+y)
The overlapping sections.
The sum of its digits is divisible by 3.

32. 6w^2 - w - 15 = 0
A set with a number of elements which can be counted.
3/2 - 5/3
Cross multiplication a/b=c/d 4/6=10/15 4(15)=6(10) 60=60
x²-2xy+y²

33. Volume of a rectangular solid
Straight Angle
The set of output values for a function.
(length)(width)(height)
288 (8 9 4)

34. In similar hexagons - the ratio of the areas is 16:25. What is the ratio of their corresponding sides?
The objects within a set.
4096
4:5
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.

35. formula for distance problems
Multiply by 1+x% i.e. 100 x (1+50%)=100x1.5=150
1
Distance=rate×time or d=rt
Edge³

36. First 10 prime #s
1/xn i.e. 5^-3 = 1/(5^3) = 1/ 125 = .008
X
x = [(-b)+/- (sqrt b^2 - 4ac)]/2a
2 - 3 - 5 - 7 - 11 - 13 - 17 - 19 - 23 - 29

37. Pythagorean theorem
Be Zero!
2²
A²+b²=c²
A=pi*(r^2)

38. 3/8 in percent?
1 - 4 - 9 - 16 - 25 - 36 - 49 - 64 - 81 - 100 - 121 - 144 - 169 - 196 - 225
37.5%
NOT A PRIME
$11 -448

39. Area of a rectangle
An expression with just one term (-6x - 2a^2)
Subtract them. i.e (5^7)/(5^3)= 5^4
A = length x width
P(E) = 1/1 = 1

40. What is the 'domain' of a function?
The set of input values for a function.
P(E) = ø
The second graph is less steep.
(n-2) x 180

41. What is the empty set?
x²-2xy+y²
A set with no members - denoted by a circle with a diagonal through it.
5 OR -5
12! / 5!7! = 792

42. 25^(1/2) or sqrt. 25 =
5 OR -5
The sum of the digits is a multiple of 9.
A=½bh
180°

43. The reciprocal of any non-zero number is
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
1/x
V=side³

44. Area of a Parallelogram:
A=(base)(height)
5 OR -5
27
M= (Y1-Y2)/(X1-X2)

45. A triangle is inscribed in a semi circle with legs 5 and 12. What is the circumfermence of the semicircle?
All numbers multiples of 1.
Ab+ac
13pi / 2
x²+2xy+y²

46. When does a function automatically have a restricted domain (2)?
When we need to avoid having a zero in the denominator or avoid taking the square root of a number.
Smallest positive integer
1 & 37/132
10! / (10-3)! = 720

47. The perimeter of a square is 48 inches. The length of its diagonal is:
1.7
Lies opposite the greater angle
12sqrt2
(p + q)/5

48. 25/2³
2²
Pi(diameter)
55%
M= (Y1-Y2)/(X1-X2)

49. (x-y)²
x²-2xy+y²
2 - 3 - 5 - 7 - 11 - 13 - 17 - 19 - 23 - 29
360/n
x²+2xy+y²

50. 1:1:sqrt2 is the ratio of the sides of what kind of triangle?
48
1
18
An isosceles right triangle.

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GRE Math: All In One

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