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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.
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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. Ratio of ages of Anna and Emma is 3:5 and of Emma and Nicolas is 3:5. What is the ratio of Anna to Nicholas' ages?
1:1:sqrt2
Even prime number
9 : 25
A 30-60-90 triangle.

2. Rate
90pi
True
D/t (distance)/(time)
72

3. Probability of E not occurring:
1 - P(E)
A-b is positive
Pi(diameter)
Two angles whose sum is 180.

4. When multiplying exponential #s with the same base - you do this to the exponents...
Yes - like radicals can be added/subtracted.
P(E) = ø
Add them. i.e. (5^7) * (5^3) = 5^10
28. n = 8 - k = 2. n! / k!(n-k)!

5. 200 <_ x <_ 300. How many values of x are divisible by 5 & 8?
3
12sqrt2
Right
1

6. The product of odd number of negative numbers
Negative
ODD number
18
1/2 times 7/3

7. 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
3x - 4x - 5x
Distance=rate×time or d=rt
62.5%
18

8. What is the 'domain' of a function?
The set of input values for a function.
Pi(diameter)
1
20.5

9. 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?
A multiple of every integer
1 & 37/132
(b + c)
441000 = 1 10 10 10 21 * 21

10. What is the name of set with a number of elements which cannot be counted?
Ab+ac
360°
An infinite set.
X

11. Volume of a rectangular box
Triangles with same measure and same side lengths.
V=Lwh
Multiply by 1+x% i.e. 100 x (1+50%)=100x1.5=150
2^9 / 2 = 256

12. 0^0
Smallest positive integer
Undefined
F(x-c)
180°

13. 10<all primes<20
x - x+1 - x+2
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...
4:5
11 - 13 - 17 - 19

14. Ø divided by 7
1/2 times 7/3
Lies opposite the greater angle
5 OR -5
Ø

15. 1:sqrt3:2 is the ratio of the sides of what kind of triangle?
10! / (10-3)! = 720
A 30-60-90 triangle.
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)
C = 2(pi)r

16. Slope given 2 points
M= (Y1-Y2)/(X1-X2)
Cross multiplication a/b=c/d 4/6=10/15 4(15)=6(10) 60=60
3
All numbers which can be expressed as a ratio of two integers. (All integers and fractions.) (-2 - 1 - .25 - 1/2)

17. Find the surface area of a cylinder with radius 3 and height 12.
Yes - like radicals can be added/subtracted.
Positive
= 25%. = (actual increase/original amount) x 100% = 20/80 x 100% = 1/4 x 100% = 25%
90pi

18. Ø is a multiple of
The set of elements found in both A and B.
A reflection about the origin.
= (actual decrease/Original amount) x100% = 20/100x100% = 20%
Every number

19. Pythagorean theorem
C = (pi)d
(6 x 2)(sqrt3 x sqrt5) = 12sqrt15
A=(base)(height)
A²+b²=c²

20. Which is greater? 200x^295 or 10x^294?
2sqrt6
Relationship cannot be determined (what if x is negative?)
y = (x + 5)/2
A set with a number of elements which can be counted.

21. The Denominator can never
F(x) + c
The two xes after factoring.
72
Be Zero!

22. The sum of the angles in a quadrilateral is
23 - 29
1/a^6
(b + c)
360°

23. Area of a Parallelogram:
A=(base)(height)
The set of output values for a function.
True
441000 = 1 10 10 10 21 * 21

24. What is a chord of a circle?
72
True
The interesection of A and B.
A chord is a line segment joining two points on a circle.

25. 40 < all primes<50
A = pi(r^2)
180
41 - 43 - 47
Two angles whose sum is 90.

26. Formula for the area of a sector of a circle?
360/n
1
1:sqrt3:2
Sector area = (n/360) X (pi)r^2

27. a^2 - b^2
26
9 : 25
(a - b)(a + b)
y/x is a constant

28. 30< all primes<40
x(x - y + 1)
360/n
5
31 - 37

29. What is the set of elements which can be found in either A or B?
A= (1/2) b*h
The union of A and B.
N! / (k!)(n-k)!
Undefined

30. 50 < all primes< 60
Parallelogram
53 - 59
441000 = 1 10 10 10 21 * 21
Two equal sides and two equal angles.

31. 6w^2 - w - 15 = 0
3/2 - 5/3
A = length x width
Ø
360/n

32. X is the opposite of
X
4096
(a - b)(a + b)
Be Zero!

33. 1/Ø=null If a>b then
M= (Y1-Y2)/(X1-X2)
26
A<-b
18

34. What are the irrational numbers?

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35. 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?
Prime numbers (2 - 3 - 5 - 7 - 11 - 13 - 17 - 19 - 23)
10! / 3!(10-3)! = 120
Yes - because you can factor out a perfect square (36). Sqrt(36 x 2) = sqrt36 X sqrt2 = 6sqrt2.
Relationship cannot be determined (what if x is negative?)

36. How to recognize if a # is a multiple of 12
P(E) = ø
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.)
A-b is negative
N! / (k!)(n-k)!

37. Circumference of a circle
Pi(diameter)
62.5%
10! / (10-3)! = 720
2

38. Simplify the expression [(b^2 - c^2) / (b - c)]
3x - 4x - 5x
x²-y²
(x+y)(x+y)
(b + c)

39. Reduce: 4.8 : 0.8 : 1.6
(x+y)(x-y)
6 : 1 : 2
The sum of digits is divisible by 9.
.0004809 X 10^11

40. Define a 'Term' -
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)
A tangent is a line that only touches one point on the circumference of a circle.
(x+y)(x+y)
3x - 4x - 5x

41. The Perimeter of a rectangle
P=2(l+w)
500
Sector area = (n/360) X (pi)r^2
(length)(width)(height)

42. Time
7 / 1000
1/2 times 7/3
x²-y²
(distance)/(rate) d/r

43. The objects in a set are called two names:
1 - P(E)
Two equal sides and two equal angles.
Members or elements
Add them. i.e. (5^7) * (5^3) = 5^10

44. Simplify the expression (p^2 - q^2)/ -5(q - p)
The direction of the inequality is reversed.
Ab+ac
13pi / 2
(p + q)/5

45. a/Ø
An expression with just one term (-6x - 2a^2)
Null
4a^2(b)
3

46. -3³
A reflection about the axis.
An is positive
27
Right

47. What is an isoceles triangle?
Members or elements
Two equal sides and two equal angles.
1/x
Diameter(Pi)

48. What is the set of elements found in both A and B?
Pi(diameter)
The interesection of A and B.
M= (Y1-Y2)/(X1-X2)
The sum of the digits is a multiple of 9.

49. Circumference of a circle?
2²
Diameter(Pi)
2
All real numbers which can'T be expressed as a ratio of two integers - positive and negative (pi - -sqrt3)

50. Evaluate and write as a mixed number: 2/7 - 3/21 + 2 & 4/14
Negative
An is positive
2 & 3/7
1

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GRE Math: All In One

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