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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. In a Regular Polygon - the measure of each exterior angle
360/n
1
Every number
Relationship cannot be determined (what if x is negative?)

2. What is a tangent?
Sum of digits is a multiple of 3 and the last digit is even.
4:5
C=2 x pi x r OR pi x D
A tangent is a line that only touches one point on the circumference of a circle.

3. 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
Yes - because you can factor out a perfect square (36). Sqrt(36 x 2) = sqrt36 X sqrt2 = 6sqrt2.
62.5%
Undefined - because we can'T divide by 0.

4. Legs: 3 - 4. Hypotenuse?
5
x²-y²
The set of elements found in both A and B.
Right

5. Ø is
Add them. i.e. (5^7) * (5^3) = 5^10
3x - 4x - 5x
A multiple of every integer
18

6. What is the measure of an exterior angle of a regular pentagon?
The empty set - denoted by a circle with a diagonal through it.
Diameter(Pi)
Arc length = (n/360) x pi(2r) where n is the number of degrees.
72

7. The product of odd number of negative numbers
Negative
48
N! / (n-k)!
x - x(SR3) - 2x

8. 1/6 in percent?
16.6666%
441000 = 1 10 10 10 21 * 21
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...
A = length x width

9. 1:1:sqrt2 is the ratio of the sides of what kind of triangle?
= 25%. = (actual increase/original amount) x 100% = 20/80 x 100% = 1/4 x 100% = 25%
1/x
An isosceles right triangle.
$11 -448

10. What is a percent?
2^9 / 2 = 256
180°
20.5
A percent is a fraction whose denominator is 100.

11. Probability of an Event
$3 -500 in the 9% and $2 -500 in the 7%.
P(E) = number of favorable outcomes/total number of possible outcomes
Do not have slopes!
26

12. The important properties of a 45-45-90 triangle?
All numbers multiples of 1.
3x - 4x - 5x
Do not have slopes!
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.

13. 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?
Indeterminable.
A-b is positive
500
67 - 71 - 73

14. 7 divided by Ø
Null
The shortest arc between points A and B on a circle'S diameter.
The set of input values for a function.
x^(6-3) = x^3

15. A cylinder has surface area 22pi. If the cylinder has a height of 10 - what is its radius?
x^(2(4)) =x^8 = (x^4)^2
zero
52
1

16. Simplify 9^(1/2) X 4^3 X 2^(-6)?
3
180°
2sqrt6
Even

17. What is the ratio of the sides of an isosceles right triangle?
1:1:sqrt2
90°
Ø Ø=Ø
= (actual decrease/Original amount) x100% = 20/100x100% = 20%

18. Ø is a multiple of
(length)(width)(height)
A = pi(r^2)
Every number
.0004809 X 10^11

19. What is a subset?
A grouping of the members within a set based on a shared characteristic.
71 - 73 - 79
61 - 67
x(x - y + 1)

20. Write 10 -843 X 10^7 in scientific notation
x(x - y + 1)
1.0843 X 10^11
1 & 37/132
1:sqrt3:2

21. Area of a circle
72
7 / 1000
1
A=pi*(r^2)

22. Pythagorean theorem
3
90°
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)
A²+b²=c²

23. Perfect Squares 1-15
1 - 4 - 9 - 16 - 25 - 36 - 49 - 64 - 81 - 100 - 121 - 144 - 169 - 196 - 225
(12/2) x (sqrt15 / sqrt5) = 6sqrt3
10! / 3!(10-3)! = 120
A subset.

24. Simplify 4sqrt21 X 5sqrt2 / 10sqrt7
360/n
No - only like radicals can be added.
2sqrt6
A set with no members - denoted by a circle with a diagonal through it.

25. Describe the relationship between the graphs of x^2 and (1/2)x^2
12.5%
The second graph is less steep.
Arc length = (n/360) x pi(2r) where n is the number of degrees.
3/2 - 5/3

26. 1/8 in percent?
12.5%
y2-y1/x2-x1
6
x²-y²

27. Reduce: 4.8 : 0.8 : 1.6
6 : 1 : 2
An is positive
75:11
The two xes after factoring.

28. The percent decrease of a quantity
(6 x 2)(sqrt3 x sqrt5) = 12sqrt15
= (actual decrease/Original amount) x 100%
A-b is positive
9

29. The product of any number x and its reciprocal
360/n
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...
1
an angle that is less than 90°

30. Consecutive integers
x - x+1 - x+2
Relationship cannot be determined (what if x is negative?)
F(x) + c
11 - 13 - 17 - 19

31. If 4500 is invested at a simple interest rate of 6% - what is the value of the investment after 10 months?
Prime numbers (2 - 3 - 5 - 7 - 11 - 13 - 17 - 19 - 23)
83.333%
2²
4725

32. The negative exponent x?n is equivalent to what?
48
Add them. i.e. (5^7) * (5^3) = 5^10
... the square of the ratios of the corresponding sides.
1/xn i.e. 5^-3 = 1/(5^3) = 1/ 125 = .008

33. The sum of the measures of the n angles in a polygon with n sides
X
(n-2) x 180
D/t (distance)/(time)
Two angles whose sum is 180.

34. Number of degrees in a triangle
The set of elements which can be found in either A or B.
Negative
1
180

35. binomial product of (x+y)(x-y)
(2x7)³
(p + q)/5
The set of output values for a function.
x²-y²

36. Legs 6 - 8. Hypotenuse?
10
1 - 4 - 9 - 16 - 25 - 36 - 49 - 64 - 81 - 100 - 121 - 144 - 169 - 196 - 225
90°
500

37. Formula for the area of a sector of a circle?
A central angle is an angle formed by 2 radii.
Arc length = (n/360) x pi(2r) where n is the number of degrees.
3 - 4 - 5
Sector area = (n/360) X (pi)r^2

38. 4.809 X 10^7 =
2.592 kg
.0004809 X 10^11
A set with no members - denoted by a circle with a diagonal through it.
3x - 4x - 5x

39. 25/2³
0
2²
An angle which is supplementary to an interior angle.
(base*height) / 2

40. 25^(1/2) or sqrt. 25 =
5 OR -5
... the square of the ratios of the corresponding sides.
(distance)/(rate) d/r
Every number

41. Slope
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)
y2-y1/x2-x1
10
x(x - y + 1)

42. What is the 'Solution' for a system of linear equations?
83.333%
The point of intersection of the systems.
x²-y²
A+c<b+c

43. 200 <_ x <_ 300. How many values of x are divisible by 5 & 8?
62.5%
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.)
5 - 12 - 13
3

44. What is the 'Range' of a series of numbers?
The empty set - denoted by a circle with a diagonal through it.
3
The greatest value minus the smallest.
4:9. The ratio of the areas of two similar triangles equals the square of the ratio of the corresponding sides.

45. To increase a number by x%
Multiply by 1+x% i.e. 100 x (1+50%)=100x1.5=150
(amount of decrease/original price) x 100%
P=2(l+w)
(distance)/(rate) d/r

46. Evaluate 3& 2/7 / 1/3
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)
A<-b
9 & 6/7
72

47. Ø Is neither
Positive or Negative
288 (8 9 4)
A grouping of the members within a set based on a shared characteristic.
3

48. What are the real numbers?
y2-y1/x2-x1
28. n = 8 - k = 2. n! / k!(n-k)!
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)
A grouping of the members within a set based on a shared characteristic.

49. The ratio of the areas of two similar polygons is ...
7 / 1000
... the square of the ratios of the corresponding sides.
zero
16^8 64^5 = (4^3)^5 = 4^15 16^8=(4^2)^8 = 4^16

50. formula for volume of a rectangular solid
Cd
The direction of the inequality is reversed.
V=l×w×h
1:sqrt3:2

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GRE Math: All In One

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