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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. 5/8 in percent?
Negative
41 - 43 - 47
62.5%
Two angles whose sum is 90.

2. Ø divided by 7
A grouping of the members within a set based on a shared characteristic.
Edge³
Ø
The sum of its digits is divisible by 3.

3. the measure of a straight angle
The longest arc between points A and B on a circle'S diameter.
180°
ODD number
5 OR -5

4. 2 is the only
Even prime number
3 - 4 - 5
Multiply by 1+x% i.e. 100 x (1+50%)=100x1.5=150
(12/2) x (sqrt15 / sqrt5) = 6sqrt3

5. Probability of an Event
x²-y²
Right
The sum of the digits is a multiple of 9.
P(E) = number of favorable outcomes/total number of possible outcomes

6. Product of any number and Ø is
$3 -500 in the 9% and $2 -500 in the 7%.
Ø
P=2(l+w)
(p + q)/5

7. What is the side length of an equilateral triangle with altitude 6?
x²-2xy+y²
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...
53 - 59
F(x-c)

8. If the two sides of a triangle are unequal then the longer side.................
Lies opposite the greater angle
Prime numbers (2 - 3 - 5 - 7 - 11 - 13 - 17 - 19 - 23)
.0004809 X 10^11
(distance)/(rate) d/r

9. (x^2)^4
A²+b²=c²
A= (1/2) b*h
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
x^(2(4)) =x^8 = (x^4)^2

10. 1/2 divided by 3/7 is the same as
1/2 times 7/3
V=side³
7 / 1000
The sum of the digits is a multiple of 9.

11. If a<b - then
23 - 29
62.5%
A+c<b+c
A set with a number of elements which can be counted.

12. binomial product of (x+y)²
(x+y)(x+y)
Yes - like radicals can be added/subtracted.
N! / (k!)(n-k)!
V=Lwh

13. a^2 - 2ab + b^2
4096
4.25 - 6 - 22
(base*height) / 2
(a - b)^2

14. 5x^2 - 35x -55 = 0
4:9. The ratio of the areas of two similar triangles equals the square of the ratio of the corresponding sides.
6
C = 2(pi)r
[(7+ sqrt93) /2] - [(7 - sqrt93) / 2]

15. Define a 'monomial'
Multiply by 1+x% i.e. 100 x (1+50%)=100x1.5=150
2 & 3/7
An expression with just one term (-6x - 2a^2)
12.5%

16. Find distance when given time and rate
D=rt so r= d/t and t=d/r
x - x(SR3) - 2x
Right
The objects within a set.

17. x^2 = 9. What is the value of x?
Pi is the ratio of a circle'S circumference to its diameter.
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)
P=2(l+w)
3 - -3

18. To increase a number by x%
Ab-ac
2sqrt6
4.25 - 6 - 22
Multiply by 1+x% i.e. 100 x (1+50%)=100x1.5=150

19. Ø is a multiple of
Move the decimal point to the right x places
Every number
x²-2xy+y²
Two (Ø×2=Ø)

20. Area of a rectangle
= (actual decrease/Original amount) x 100%
The set of input values for a function.
A = length x width
ODD number

21. 4.809 X 10^7 =
.0004809 X 10^11
Cross multiplication a/b=c/d 4/6=10/15 4(15)=6(10) 60=60
(a - b)(a + b)
Triangles with same measure and same side lengths.

22. Circumference of a circle
A+c<b+c
x^(4+7) = x^11
Pi(diameter)
70

23. 30 60 90
360°
Two equal sides and two equal angles.
A= (1/2) b*h
3x - 4x - 5x

24. Whats the difference between factors and multiples?
4725
Sector area = (n/360) X (pi)r^2
Factors are few - multiples are many.
x^(6-3) = x^3

25. In a Rectangle - each angles measures
61 - 67
PEMDAS (Parentheses Exponents Multiplication/Division Addition/Subtraction)
x - x(SR3) - 2x
90°

26. 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?
The two xes after factoring.
y = 2x^2 - 3
1.7
NOT A PRIME

27. What is the third quartile of the following data set: 44 - 58 - 63 - 63 - 68 - 70 - 82
Circumference = Diameter(pi). Use pythagorean theorem to find the diagonal of the square (the diameter).
1 - P(E)
70
P(E) = ø

28. What is a minor arc?

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29. What is the graph of f(x) shifted right c units or spaces?
(a - b)(a + b)
13
F(x-c)
3

30. What is the 'union' of A and B?
V=Lwh
The set of elements which can be found in either A or B.
55%
1

31. What is a chord of a circle?
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.)
Multiply by 1+x% i.e. 100 x (1+50%)=100x1.5=150
Smallest positive integer
A chord is a line segment joining two points on a circle.

32. What is the measure of an exterior angle of a regular pentagon?
The direction of the inequality is reversed.
6 : 1 : 2
441000 = 1 10 10 10 21 * 21
72

33. What is the 'Range' of a function?
The set of output values for a function.
Parallelogram
NOT A PRIME
2.592 kg

34. Simplify (a^2 + b)^2 - (a^2 - b)^2
N! / (k!)(n-k)!
P(E) = 1/1 = 1
The interesection of A and B.
4a^2(b)

35. Circumference of a circle?
1:1:sqrt2
Diameter(Pi)
10
16.6666%

36. For what values should the domain be restricted for the function f(x) = sqrt(x + 8)
4725
8
... the square of the ratios of the corresponding sides.
The set of elements found in both A and B.

37. Legs 6 - 8. Hypotenuse?
(rate)(time) d=rt
PEMDAS (Parentheses Exponents Multiplication/Division Addition/Subtraction)
10
A=(base)(height)

38. For similar triangles - the ratio of their corresponding sides is 2:3. What is the ratio of their areas?
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)
4:9. The ratio of the areas of two similar triangles equals the square of the ratio of the corresponding sides.
$3 -500 in the 9% and $2 -500 in the 7%.
The second graph is less steep.

39. Area of a circle
A=pi*(r^2)
y2-y1/x2-x1
26
1 & 37/132

40. 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?
Negative
Straight Angle
52
90°

41. 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?
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
Edge³
23 - 29
500

42. formula for volume of a rectangular solid
6
V=l×w×h
3
20.5

43. What is the intersection of A and B?
The set of elements found in both A and B.
500
1
1:1:sqrt2

44. The product of any number x and its reciprocal
1
1.7
x^(2(4)) =x^8 = (x^4)^2
1/x

45. Volume of a rectangular box
V=Lwh
= (actual decrease/Original amount) x100% = 20/100x100% = 20%
The graph of 3(x - 1)^2 is a translation (shift) of the graph one unit or space to the right.
1.7

46. The important properties of a 45-45-90 triangle?
(length)(width)(height)
20.5
An expression with just one term (-6x - 2a^2)
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.

47. Obtuse Angle
An isosceles right triangle.
angle that is greater than 90° but less than 180°
N! / (n-k)!
441000 = 1 10 10 10 21 * 21

48. What are the members or elements of a set?
(a - b)^2
2
P(E) = 1/1 = 1
The objects within a set.

49. 1/6 in percent?
2 - 3 - 5 - 7 - 11 - 13 - 17 - 19 - 23 - 29
16.6666%
27^(-4)
Every number

50. Hector invested $6000. Part was invested in account with 9% simple annual interest - and the rest in account with 7% simple annual interest. If he earned $490 in the first year of these investments - how much did he invest in each account?
The set of elements found in both A and B.
28. n = 8 - k = 2. n! / k!(n-k)!
$3 -500 in the 9% and $2 -500 in the 7%.
360/n

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GRE Math: All In One

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