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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. What is a set with no members called?
87.5%
An expression with just one term (-6x - 2a^2)
Relationship cannot be determined (what if x is negative?)
The empty set - denoted by a circle with a diagonal through it.

2. a/Ø
x²+2xy+y²
Null
No - only like radicals can be added.
An infinite set.

3. bn
The union of A and B.
B?b?b (where b is used as a factor n times)
Move the decimal point to the right x places
Every number

4. What is a chord of a circle?
3 - -3
A chord is a line segment joining two points on a circle.
F(x) + c
A= (1/2) b*h

5. Perimeter of a rectangle
(n-2) x 180
The sum of its digits is divisible by 3.
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)
P= 2L + 2w

6. The four angles around a point measure y - 2y - 35 and 55 respectively. What is the value of y?
x - x(SR3) - 2x
2²
90
An expression with just one term (-6x - 2a^2)

7. Slope of any line that goes down as you move from left to right is
Straight Angle
3
Negative
Its divisible by 2 and by 3.

8. X is the opposite of
1/x
X
288 (8 9 4)
62.5%

9. a(b+c)
Ab+ac
41 - 43 - 47
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 shortest arc between points A and B on a circle'S diameter.

10. What is a central angle?
zero
A central angle is an angle formed by 2 radii.
Null
130pi

11. Formula to calculate arc length?
Arc length = (n/360) x pi(2r) where n is the number of degrees.
2.592 kg
1/xn i.e. 5^-3 = 1/(5^3) = 1/ 125 = .008
B?b?b (where b is used as a factor n times)

12. Evaluate (4^3)^2
True
(a + b)^2
4096
1

13. formula for distance problems
Move the decimal point to the right x places
Distance=rate×time or d=rt
Even
Smallest positive integer

14. The important properties of a 45-45-90 triangle?
4:5
The shortest arc between points A and B on a circle'S diameter.
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.
(amount of decrease/original price) x 100%

15. Distance
180
5 - 12 - 13
The sum of its digits is divisible by 3.
(rate)(time) d=rt

16. If the 80th percentile of the measurements is 72degrees - about how many measurments are between 69 degrees and 72 degrees? Round your answer to the nearest tenth
The greatest value minus the smallest.
P(E) = ø
Factors are few - multiples are many.
18

17. In a Regular Polygon - the measure of each exterior angle
5
A reflection about the origin.
Pi(diameter)
360/n

18. Important properties of a 30-60-90 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
B?b?b (where b is used as a factor n times)
Yes - like radicals can be added/subtracted.
V=Lwh

19. 1n
1
D=rt so r= d/t and t=d/r
A set with no members - denoted by a circle with a diagonal through it.
The set of input values for a function.

20. Describe the relationship between 3x^2 and 3(x - 1)^2
Yes - because you can factor out a perfect square (36). Sqrt(36 x 2) = sqrt36 X sqrt2 = 6sqrt2.
72
52
The graph of 3(x - 1)^2 is a translation (shift) of the graph one unit or space to the right.

21. What is a finite set?
A set with a number of elements which can be counted.
6 : 1 : 2
Prime numbers (2 - 3 - 5 - 7 - 11 - 13 - 17 - 19 - 23)
= (actual decrease/Original amount) x 100%

22. a(b-c)
16^8 64^5 = (4^3)^5 = 4^15 16^8=(4^2)^8 = 4^16
Multiply by 1+x% i.e. 100 x (1+50%)=100x1.5=150
Ab-ac
Null

23. To decrease a number by x%
Expressing a number as the product of a decimal between 1 and 10 - and a power of 10.
61 - 67
Multiply by 1-x% i.e. 100 x (1-50%)=100x.5=50
(amount of decrease/original price) x 100%

24. What is an exterior angle?
3
Move the decimal point to the right x places
1/a^6
An angle which is supplementary to an interior angle.

25. Write 10 -843 X 10^7 in scientific notation
1.0843 X 10^11
360°
27
90°

26. 25^(1/2) or sqrt. 25 =
2²
ODD number
5 OR -5
1

27. Area of a circle
130pi
Can be negative - zero - or positive
A=pi*(r^2)
Circumference = Diameter(pi). Use pythagorean theorem to find the diagonal of the square (the diameter).

28. How many multiples does a given number have?
Cross multiplication a/b=c/d 4/6=10/15 4(15)=6(10) 60=60
70
Infinite.
zero

29. 50 < all primes< 60
The greatest value minus the smallest.
C = 2(pi)r
53 - 59
A-b is negative

30. Time
(distance)/(rate) d/r
D=rt so r= d/t and t=d/r
1/2 times 7/3
Expressing a number as the product of a decimal between 1 and 10 - and a power of 10.

31. A number is divisible by 4 is...
Its last two digits are divisible by 4.
Indeterminable.
87.5%
Null

32. What is the 'domain' of a function?
The set of input values for a function.
Even
X
N! / (n-k)!

33. The sum of the angles in a quadrilateral is
4.25 - 6 - 22
360°
2^9 / 2 = 256
V=Lwh

34. What is the graph of f(x) shifted upward c units or spaces?
The two xes after factoring.
The set of elements found in both A and B.
Sector area = (n/360) X (pi)r^2
F(x) + c

35. What is the intersection of A and B?
The set of elements found in both A and B.
Straight Angle
Multiply by 1+x% i.e. 100 x (1+50%)=100x1.5=150
$11 -448

36. 20<all primes<30
6
A²+b²=c²
23 - 29
An infinite set.

37. The Perimeter of a rectangle
4:5
A subset.
Cross multiplication a/b=c/d 4/6=10/15 4(15)=6(10) 60=60
P=2(l+w)

38. Volume of a rectangular solid
2 - 3 - 5 - 7 - 11 - 13 - 17 - 19 - 23 - 29
(length)(width)(height)
A reflection about the axis.
A²+b²=c²

39. 1:sqrt3:2 is the ratio of the sides of what kind of triangle?
= 25%. = (actual increase/original amount) x 100% = 20/80 x 100% = 1/4 x 100% = 25%
A 30-60-90 triangle.
Distance=rate×time or d=rt
An infinite set.

40. Ø divided by 7
18
True
A=(base)(height)
Ø

41. formula for area of a triangle
A=½bh
Smallest positive integer
90pi
An isosceles right triangle.

42. What percent of 40 is 22?
(b + c)
P(E) = ø
Undefined
55%

43. A number is divisible by 6 if...
Sector area = (n/360) X (pi)r^2
Its divisible by 2 and by 3.
0
Pi(diameter)

44. What number between 70 & 75 - inclusive - has the greatest number of factors?
All numbers which can be expressed as a ratio of two integers. (All integers and fractions.) (-2 - 1 - .25 - 1/2)
4:9. The ratio of the areas of two similar triangles equals the square of the ratio of the corresponding sides.
The sum of the digits is a multiple of 9.
72

45. What is the surface area of a cylinder with radius 5 and height 8?
130pi
Yes - because you can factor out a perfect square (36). Sqrt(36 x 2) = sqrt36 X sqrt2 = 6sqrt2.
The union of A and B.
Ø

46. binomial product of (x-y)²
The sum of its digits is divisible by 3.
M= (Y1-Y2)/(X1-X2)
(x+y)(x-y)
Add them. i.e. (5^7) * (5^3) = 5^10

47. What is a tangent?
Its last two digits are divisible by 4.
9
Ø
A tangent is a line that only touches one point on the circumference of a circle.

48. (x-y)(x+y)
Arc length = (n/360) x pi(2r) where n is the number of degrees.
5 - 12 - 13
x²-y²
360°

49. Volume of a cube
180°
Edge³
V=Lwh
D/t (distance)/(time)

50. Area of a circle
Ab+ac
(pi)r²
1 - P(E)
[(7+ sqrt93) /2] - [(7 - sqrt93) / 2]