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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. First 10 prime #s
(a + b)^2
The set of input values for a function.
2 - 3 - 5 - 7 - 11 - 13 - 17 - 19 - 23 - 29
The second graph is less steep.

2. Suppose that the graph of f(x) is the result of sliding the graph of y=2x^2 down 3 units of spaces. What is the new equation?
y = 2x^2 - 3
A grouping of the members within a set based on a shared characteristic.
(p + q)/5
3/2 - 5/3

3. 1:sqrt3:2 is the ratio of the sides of what kind of triangle?
A subset.
53 - 59
A 30-60-90 triangle.
Reciprocal

4. The only number that is equal to its opposite
Undefined - because we can'T divide by 0.
Ab-ac
Ø Ø=Ø
72

5. a/Ø
Null
Expressing a number as the product of a decimal between 1 and 10 - and a power of 10.
(base*height) / 2
2^9 / 2 = 256

6. What is the ratio of the sides of a 30-60-90 triangle?
2.592 kg
1:sqrt3:2
A=½bh
x(x - y + 1)

7. What is a minor arc?

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8. factored binomial product of (x+y)²
All real numbers which can'T be expressed as a ratio of two integers - positive and negative (pi - -sqrt3)
An isosceles right triangle.
x²+2xy+y²
x - x+1 - x+2

9. 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?
A= (1/2) b*h
180°
(p + q)/5
N! / (n-k)!

10. What is the graph of f(x) shifted left c units or spaces?
5 - 12 - 13
41 - 43 - 47
F(x + c)
75:11

11. How do you solve proportions? a/b=c/d
48
61 - 67
= (actual decrease/Original amount) x100% = 20/100x100% = 20%
Cross multiplication a/b=c/d 4/6=10/15 4(15)=6(10) 60=60

12. 70 < all primes< 80
Members or elements
71 - 73 - 79
Two angles whose sum is 180.
x²-2xy+y²

13. 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
(base*height) / 2
Ø=P(E)=1
Every number
18

14. 3 is the opposite of
Yes - because you can factor out a perfect square (36). Sqrt(36 x 2) = sqrt36 X sqrt2 = 6sqrt2.
X
3
Cross multiplication a/b=c/d 4/6=10/15 4(15)=6(10) 60=60

15. What is the relationship between lengths of the sides of a triangle and the measure of the angles of the triangle?
Circumference = Diameter(pi). Use pythagorean theorem to find the diagonal of the square (the diameter).
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.
4:5
Two equal sides and two equal angles.

16. 10^6 has how many zeroes?
Every number
2
6
Do not have slopes!

17. 30< all primes<40
C=2 x pi x r OR pi x D
31 - 37
3/2 - 5/3
F(x) - c

18. Whats the difference between factors and multiples?
Factors are few - multiples are many.
6
A central angle is an angle formed by 2 radii.
Undefined - because we can'T divide by 0.

19. 25^(1/2) or sqrt. 25 =
A multiple of every integer
18
4:9. The ratio of the areas of two similar triangles equals the square of the ratio of the corresponding sides.
5 OR -5

20. Can you add sqrt 3 and sqrt 5?
1
No - only like radicals can be added.
2 & 3/7
6 : 1 : 2

21. What is the graph of f(x) shifted downward c units or spaces?
F(x) - c
27^(-4)
Indeterminable.
The overlapping sections.

22. In similar hexagons - the ratio of the areas is 16:25. What is the ratio of their corresponding sides?
A=(base)(height)
An angle which is supplementary to an interior angle.
Null
4:5

23. b¹
[(7+ sqrt93) /2] - [(7 - sqrt93) / 2]
Add them. i.e. (5^7) * (5^3) = 5^10
31 - 37
1

24. Evaluate and write as a mixed number: 2/7 - 3/21 + 2 & 4/14
2 & 3/7
Lies opposite the greater angle
Even
The sum of digits is divisible by 9.

25. What is the order of operations?
71 - 73 - 79
V=Lwh
1/a^6
PEMDAS (Parentheses Exponents Multiplication/Division Addition/Subtraction)

26. Legs 5 - 12. Hypotenuse?
Even
(a - b)(a + b)
Even prime number
13

27. Probability of Event all cases
Arc length = (n/360) x pi(2r) where n is the number of degrees.
16^8 64^5 = (4^3)^5 = 4^15 16^8=(4^2)^8 = 4^16
Ø=P(E)=1
Null

28. What is the set of elements found in both A and B?
288 (8 9 4)
Multiply by 1-x% i.e. 100 x (1-50%)=100x.5=50
(b + c)
The interesection of A and B.

29. What is the area of a regular hexagon with side 6?
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.
13
54sqrt3. (divide the hexagon into 6 congruent equilateral triangles.
Prime numbers (2 - 3 - 5 - 7 - 11 - 13 - 17 - 19 - 23)

30. a^2 - 2ab + b^2
(a - b)^2
x²+2xy+y²
All numbers multiples of 1.
x^(2(4)) =x^8 = (x^4)^2

31. What transformation occurs if point C is reflected over the x-axis and then the y-axis?
N! / (k!)(n-k)!
A reflection about the axis.
Factors are few - multiples are many.
Distance=rate×time or d=rt

32. Volume of a rectangular solid
130pi
Ab+ac
(length)(width)(height)
= 25%. = (actual increase/original amount) x 100% = 20/80 x 100% = 1/4 x 100% = 25%

33. 5 bakeries sell an average of 300 muffins per bakery per day. If 2 stop making muffins but the total muffins sold stays the same - what is the average of muffins per bakery sold among the remaining?
500
1
PEMDAS (Parentheses Exponents Multiplication/Division Addition/Subtraction)
3 - -3

34. What is the graph of f(x) shifted upward c units or spaces?
67 - 71 - 73
x(x - y + 1)
F(x) + c
Every number

35. a^0 =
Subtract them. i.e (5^7)/(5^3)= 5^4
1
72
87.5%

36. 25/2³
2²
Ø
Even prime number
The graph of 3(x - 1)^2 is a translation (shift) of the graph one unit or space to the right.

37. If Madagascar'S exports totaled 1.3 billion in 2009 - and 4% came from China - what was the value in millions of the country'S exports to China?
23 - 29
52
A tangent is a line that only touches one point on the circumference of a circle.
Undefined

38. What is the name for a grouping of the members within a set based on a shared characteristic?
x = [(-b)+/- (sqrt b^2 - 4ac)]/2a
A subset.
62.5%
A set with no members - denoted by a circle with a diagonal through it.

39. 5/8 in percent?
The shortest arc between points A and B on a circle'S diameter.
(base*height) / 2
1:1:sqrt2
62.5%

40. What is the slope of a horizontal line?
27
A reflection about the origin.
0
C = 2(pi)r

41. Formula to calculate arc length?
The point of intersection of the systems.
Arc length = (n/360) x pi(2r) where n is the number of degrees.
Distance=rate×time or d=rt
M

42. Slope
Ab-ac
A tangent is a line that only touches one point on the circumference of a circle.
Yes - because you can factor out a perfect square (36). Sqrt(36 x 2) = sqrt36 X sqrt2 = 6sqrt2.
y2-y1/x2-x1

43. Pi is a ratio of what to what?

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44. A number is divisible by 6 if...
70
Its divisible by 2 and by 3.
(length)(width)(height)
0

45. Acute Angle
0
an angle that is less than 90°
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)
(x+y)(x-y)

46. Slope of any line that goes down as you move from left to right is
27^(-4)
360°
Negative
A=½bh

47. The four angles around a point measure y - 2y - 35 and 55 respectively. What is the value of y?
5 OR -5
90
F(x) - c
Even

48. 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)?
The sum of its digits is divisible by 3.
x(x - y + 1)
4:9. The ratio of the areas of two similar triangles equals the square of the ratio of the corresponding sides.
y = (x + 5)/2

49. 8.84 / 5.2
The set of output values for a function.
Every number
The union of A and B.
1.7

50. 60 < all primes <70
A grouping of the members within a set based on a shared characteristic.
180°
D/t (distance)/(time)
61 - 67