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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. Suppose you have a set of n objects - and you want to select k of them - but the order doesn'T matter. What formula do you use to determine the number of combinations of n objects taken k at a time?
6
3
4096
N! / (k!)(n-k)!

2. Area of a triangle
6
A= (1/2) b*h
(a - b)^2
(2x7)³

3. Slope given 2 points
A<-b
4a^2(b)
M= (Y1-Y2)/(X1-X2)
Sector area = (n/360) X (pi)r^2

4. The sum of all angles around a point
360°
Cross multiplication a/b=c/d 4/6=10/15 4(15)=6(10) 60=60
Yes - like radicals can be added/subtracted.
1/xn i.e. 5^-3 = 1/(5^3) = 1/ 125 = .008

5. Ø divided by 7
Can be negative - zero - or positive
3 - 4 - 5
x^(6-3) = x^3
Ø

6. a<b then a - b is positive or negative?
= (actual decrease/Original amount) x100% = 20/100x100% = 20%
A-b is negative
16^8 64^5 = (4^3)^5 = 4^15 16^8=(4^2)^8 = 4^16
zero

7. 5/6 in percent?
441000 = 1 10 10 10 21 * 21
83.333%
The sum of the digits is a multiple of 9.
B?b?b (where b is used as a factor n times)

8. If y is directly proportional to x - what does it equal?
y/x is a constant
1
Even
2 - 3 - 5 - 7 - 11 - 13 - 17 - 19 - 23 - 29

9. 30 60 90
12.5%
F(x-c)
x - x(SR3) - 2x
27

10. The Denominator can never
87.5%
Lies opposite the greater angle
Be Zero!
180

11. What are complementary angles?
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)
Two angles whose sum is 90.
(a - b)^2
A= (1/2) b*h

12. Slope
y2-y1/x2-x1
True
Factors are few - multiples are many.
62.5%

13. Formula to find a circle'S circumference from its diameter?
x^(4+7) = x^11
C = (pi)d
A natural number greater than 1 that has no positive divisors other than 1 and itself
The overlapping sections.

14. Probability of Event all cases
Negative
4:9. The ratio of the areas of two similar triangles equals the square of the ratio of the corresponding sides.
0
Ø=P(E)=1

15. In a Regular Polygon - the measure of each exterior angle
Subtract them. i.e (5^7)/(5^3)= 5^4
3
360/n
zero

16. What is the surface area of a cylinder with radius 5 and height 8?
130pi
6 : 1 : 2
Do not have slopes!
V=Lwh

17. What is the set of elements found in both A and B?
The interesection of A and B.
Yes - like radicals can be added/subtracted.
180°
NOT A PRIME

18. What is the ratio of the surface area of a cube with an edge of 10 to the surface area of a rectangular solid with dimensions 2 - 4 - and 6?
54sqrt3. (divide the hexagon into 6 congruent equilateral triangles.
A set with a number of elements which can be counted.
75:11
= (actual decrease/Original amount) x 100%

19. factored binomial product of (x-y)²
x²-2xy+y²
The longest arc between points A and B on a circle'S diameter.
B?b?b (where b is used as a factor n times)
y = 2x^2 - 3

20. A triangle is inscribed in a semi circle with legs 5 and 12. What is the circumfermence of the semicircle?
Subtract them. i.e (5^7)/(5^3)= 5^4
13pi / 2
... the square of the ratios of the corresponding sides.
All real numbers which can'T be expressed as a ratio of two integers - positive and negative (pi - -sqrt3)

21. 30< all primes<40
31 - 37
F(x) - c
C = 2(pi)r
62.5%

22. What is the common monomial factor in the expression 4(c^3)d - (c^2)(d^2) + 2cd?
A central angle is an angle formed by 2 radii.
Cd
Two (Ø×2=Ø)
P=2(l+w)

23. What is the slope of a horizontal line?
62.5%
0
x^(4+7) = x^11
(rate)(time) d=rt

24. Volume of a cube
Pi(diameter)
Edge³
C = 2(pi)r
Infinite.

25. When dividing exponential #s with the same base - you do this to the exponents...
Two equal sides and two equal angles.
Even
(pi)r²
Subtract them. i.e (5^7)/(5^3)= 5^4

26. How many 3-digit positive integers are even and do not contain the digit 4?
M= (Y1-Y2)/(X1-X2)
(n-2) x 180
288 (8 9 4)
V=Lwh

27. (x-y)(x+y)
1
72
x²-y²
360°

28. The four angles around a point measure y - 2y - 35 and 55 respectively. What is the value of y?
2(pi)r
10! / (10-3)! = 720
Add them. i.e. (5^7) * (5^3) = 5^10
90

29. Define a 'monomial'
V=side³
The overlapping sections.
An expression with just one term (-6x - 2a^2)
70

30. Volume of a rectangular solid
2²
(x+y)(x+y)
(n-2) x 180
(length)(width)(height)

31. Slope of any line that goes up from left to right
A=½bh
Positive
27
13pi / 2

32. Vertical lines
4725
1.0843 X 10^11
Ø
Do not have slopes!

33. What number between 70 & 75 - inclusive - has the greatest number of factors?
Ø
72
EVEN
The longest arc between points A and B on a circle'S diameter.

34. Solve the quadratic equation ax^2 + bx + c= 0
x = [(-b)+/- (sqrt b^2 - 4ac)]/2a
A set with no members - denoted by a circle with a diagonal through it.
All real numbers which can'T be expressed as a ratio of two integers - positive and negative (pi - -sqrt3)
Members or elements

35. Define an 'expression'.
A tangent is a line that only touches one point on the circumference of a circle.
The steeper the slope.
P=4s (s=side)
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)

36. Dividing by a number is the same as multiplying it by its
A-b is negative
A = length x width
Reciprocal
4a^2(b)

37. a^2 - 2ab + b^2
1
(a - b)^2
Its divisible by 2 and by 3.
Positive

38. There are 10 finalists for the school spelling bee. A first - second - and third place trophy will be awarded. In how many ways can the judges award the 3 prizes?
x²-2xy+y²
3 - 4 - 5
A²+b²=c²
10! / (10-3)! = 720

39. What is the 'Range' of a function?
72
P=4s (s=side)
The greatest value minus the smallest.
The set of output values for a function.

40. Which is greater? 200x^295 or 10x^294?
Relationship cannot be determined (what if x is negative?)
Every number
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)
90°

41. To multiply a number by 10^x
x - x+1 - x+2
The sum of the digits is a multiple of 9.
9 & 6/7
Move the decimal point to the right x places

42. Ø Is
Subtract them. i.e (5^7)/(5^3)= 5^4
52
V=l×w×h
EVEN

43. Convert 0.7% to a fraction.
$3 -500 in the 9% and $2 -500 in the 7%.
7 / 1000
Ø=P(E)=1
1

44. 200 <_ x <_ 300. How many values of x are divisible by 5 & 8?
3
4a^2(b)
N! / (k!)(n-k)!
2 & 3/7

45. What is the side length of an equilateral triangle with altitude 6?
Pi(diameter)
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...
angle that is greater than 90° but less than 180°
A = length x width

46. 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?
The union of A and B.
10! / 3!(10-3)! = 120
The set of input values for a function.
V=l×w×h

47. 1/2 divided by 3/7 is the same as
Two angles whose sum is 180.
6 : 1 : 2
x = [(-b)+/- (sqrt b^2 - 4ac)]/2a
1/2 times 7/3

48. Describe the relationship between 3x^2 and 3(x - 1)^2
3
0
The graph of 3(x - 1)^2 is a translation (shift) of the graph one unit or space to the right.
(a - b)^2

49. a(b+c)
A chord is a line segment joining two points on a circle.
P= 2L + 2w
Yes - like radicals can be added/subtracted.
Ab+ac

50. Acute Angle
360°
an angle that is less than 90°
Ø
A 30-60-90 triangle.