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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. How to recognize a multiple of 6
Sum of digits is a multiple of 3 and the last digit is even.
Positive
6 : 1 : 2
An is positive

2. Volume of a rectangular box
6
x²+2xy+y²
V=Lwh
(6 x 2)(sqrt3 x sqrt5) = 12sqrt15

3. P and r are factors of 100. What is greater - pr or 100?
Indeterminable.
P(E) = 1/1 = 1
The sum of digits is divisible by 9.
3

4. Find the surface area of a cylinder with radius 3 and height 12.
Positive
90pi
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
67 - 71 - 73

5. What percent of 40 is 22?
Two angles whose sum is 90.
Cross multiplication a/b=c/d 4/6=10/15 4(15)=6(10) 60=60
55%
x = [(-b)+/- (sqrt b^2 - 4ac)]/2a

6. Consecutive integers
10! / (10-3)! = 720
(6 x 2)(sqrt3 x sqrt5) = 12sqrt15
x - x+1 - x+2
1

7. Volume of a cube
x^(4+7) = x^11
Edge³
9 & 6/7
Diameter(Pi)

8. How to recognize a # as a multiple of 4
D=rt so r= d/t and t=d/r
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.)
41 - 43 - 47
2(pi)r

9. 4.809 X 10^7 =
Every number
.0004809 X 10^11
A 30-60-90 triangle.
F(x-c)

10. For what values should the domain be restricted for the function f(x) = sqrt(x + 8)
8
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)
$11 -448
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

11. Acute Angle
an angle that is less than 90°
Multiply by 1-x% i.e. 100 x (1-50%)=100x.5=50
180
A multiple of every integer

12. What is a tangent?
A tangent is a line that only touches one point on the circumference of a circle.
Its last two digits are divisible by 4.
1
9

13. 25/2³
The two xes after factoring.
3
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...
2²

14. Nine coins are tossed simultaneously. In how many of the outcomes will the fourth coin tossed show heads?
2^9 / 2 = 256
130pi
(12/2) x (sqrt15 / sqrt5) = 6sqrt3
1 & 37/132

15. What is the sum of the angles of a triangle?
The two xes after factoring.
180 degrees
The set of elements which can be found in either A or B.
75:11

16. 30< all primes<40
2²
x²-y²
31 - 37
1:1:sqrt2

17. If the two sides of a triangle are unequal then the longer side.................
The steeper the slope.
Do not have slopes!
Sector area = (n/360) X (pi)r^2
Lies opposite the greater angle

18. What is the graph of f(x) shifted left c units or spaces?
52
Undefined - because we can'T divide by 0.
(amount of decrease/original price) x 100%
F(x + c)

19. An Angle that'S 180°
(length)(width)(height)
Straight Angle
Negative
x - x+1 - x+2

20. The larger the absolute value of the slope...
x^(6-3) = x^3
The steeper the slope.
Move the decimal point to the right x places
8

21. Evaluate 3& 2/7 / 1/3
9 & 6/7
X
23 - 29
N! / (n-k)!

22. a(b+c)
1/2 times 7/3
An isosceles right triangle.
Ab+ac
EVEN

23. 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)?
A reflection about the origin.
Two equal sides and two equal angles.
y = (x + 5)/2
A set with no members - denoted by a circle with a diagonal through it.

24. 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?
$3 -500 in the 9% and $2 -500 in the 7%.
y = 2x^2 - 3
The sum of digits is divisible by 9.
The interesection of A and B.

25. If a pair of parallel lines is cut by a transversal that'S not perpendicular - the sum of any acute angle and any obtuse angle is
PEMDAS (Parentheses Exponents Multiplication/Division Addition/Subtraction)
180
Edge³
Ø

26. To multiply a number by 10^x
360°
Move the decimal point to the right x places
90pi
1:sqrt3:2

27. How to recognize if a # is a multiple of 12
4.25 - 6 - 22
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.)
X
P=2(l+w)

28. Define a 'monomial'
A=½bh
83.333%
An expression with just one term (-6x - 2a^2)
EVEN

29. binomial product of (x+y)²
(a - b)(a + b)
(x+y)(x+y)
y2-y1/x2-x1
4a^2(b)

30. 5/8 in percent?
62.5%
A grouping of the members within a set based on a shared characteristic.
5 OR -5
An arc is a portion of a circumference of a circle.

31. 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?
27^(-4)
x - x+1 - x+2
Do not have slopes!
N! / (k!)(n-k)!

32. Time
(distance)/(rate) d/r
90°
A=½bh
Yes - like radicals can be added/subtracted.

33. What is the relationship between lengths of the sides of a triangle and the measure of the angles of the triangle?
X
M
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.
(amount of decrease/original price) x 100%

34. Whats the difference between factors and multiples?
2^9 / 2 = 256
= (actual decrease/Original amount) x 100%
3 - -3
Factors are few - multiples are many.

35. Employee X is paid 19.50 per hour no matter how many a week. Employee Y earns 18 for the first 40 and 1.5 the hourly wage for every hour after that. If both earned the same amount and worked the same in one week - how many did each work?
3 - 4 - 5
(a - b)(a + b)
48
1:1:sqrt2

36. 30 60 90
x²-2xy+y²
Add them. i.e. (5^7) * (5^3) = 5^10
y2-y1/x2-x1
3x - 4x - 5x

37. Solve the quadratic equation ax^2 + bx + c= 0
The direction of the inequality is reversed.
x = [(-b)+/- (sqrt b^2 - 4ac)]/2a
zero
A = length x width

38. How to recognize a # as a multiple of 3
C = (pi)d
Null
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)
16^8 64^5 = (4^3)^5 = 4^15 16^8=(4^2)^8 = 4^16

39. How to recognize a # as a multiple of 9
Multiply by 1+x% i.e. 100 x (1+50%)=100x1.5=150
Ø=P(E)=1
The sum of the digits is a multiple of 9.
All the numbers on the number line (negative - rational - irrational - decimal - integer). All the numbers on the GRE are real. (-2 - 1 - .25 - 1/2 - pi)

40. Area of a circle
an angle that is less than 90°
A=pi*(r^2)
(6 x 2)(sqrt3 x sqrt5) = 12sqrt15
P(E) = number of favorable outcomes/total number of possible outcomes

41. Slope given 2 points
M= (Y1-Y2)/(X1-X2)
1/xn i.e. 5^-3 = 1/(5^3) = 1/ 125 = .008
70
V=l×w×h

42. What is the side length of an equilateral triangle with altitude 6?
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...
= (actual decrease/Original amount) x 100%
5
A 30-60-90 triangle.

43. T or F? Given d -e &f =/ 0 - [(d^3)e(f^5)] / 2d(e^3) / [3(d^2)(e^3)(f^7)] / [6(e^5)(f^2)]?
16^8 64^5 = (4^3)^5 = 4^15 16^8=(4^2)^8 = 4^16
True
A reflection about the axis.
.0004809 X 10^11

44. (x^2)^4
y/x is a constant
x^(2(4)) =x^8 = (x^4)^2
72
A²+b²=c²

45. Ø divided by 7
9 : 25
Ø
X
$3 -500 in the 9% and $2 -500 in the 7%.

46. 30 60 90
3 - 4 - 5
The graph of 3(x - 1)^2 is a translation (shift) of the graph one unit or space to the right.
The empty set - denoted by a circle with a diagonal through it.
(a - b)(a + b)

47. Simplify the expression (p^2 - q^2)/ -5(q - p)
(12/2) x (sqrt15 / sqrt5) = 6sqrt3
180 degrees
(p + q)/5
Straight Angle

48. Simplify 9^(1/2) X 4^3 X 2^(-6)?
90°
31 - 37
Arc length = (n/360) x pi(2r) where n is the number of degrees.
3

49. If a<b - then
y = (x + 5)/2
90
A+c<b+c
360°

50. 7/8 in percent?
87.5%
1/a^6
P=2(l+w)
75:11

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GRE Math: All In One

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