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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. What is a subset?
x²+2xy+y²
1.0843 X 10^11
A grouping of the members within a set based on a shared characteristic.
F(x) + c

2. a^2 - b^2 =
(a - b)(a + b)
13pi / 2
3x - 4x - 5x
20.5

3. (x^2)^4
x^(2(4)) =x^8 = (x^4)^2
N! / (n-k)!
75:11
x(x - y + 1)

4. Slope
Every number
y2-y1/x2-x1
Pi(diameter)
360°

5. a(b+c)
D=rt so r= d/t and t=d/r
The point of intersection of the systems.
2 - 3 - 5 - 7 - 11 - 13 - 17 - 19 - 23 - 29
Ab+ac

6. 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?
Circumference = Diameter(pi). Use pythagorean theorem to find the diagonal of the square (the diameter).
Relationship cannot be determined (what if x is negative?)
2
9 : 25

7. binomial product of (x+y)(x-y)
A grouping of the members within a set based on a shared characteristic.
x²-y²
Ø
7 / 1000

8. 30 60 90
Prime numbers (2 - 3 - 5 - 7 - 11 - 13 - 17 - 19 - 23)
The overlapping sections.
A-b is positive
x - x(SR3) - 2x

9. Define a 'monomial'
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
1
An expression with just one term (-6x - 2a^2)
Add them. i.e. (5^7) * (5^3) = 5^10

10. How many multiples does a given number have?
90°
(b + c)
(a - b)(a + b)
Infinite.

11. A number is divisible by 9 if...
Positive
61 - 67
Every number
The sum of digits is divisible by 9.

12. What are 'Supplementary angles?'
ODD number
1:sqrt3:2
Factors are few - multiples are many.
Two angles whose sum is 180.

13. 4.809 X 10^7 =
.0004809 X 10^11
71 - 73 - 79
500
(2x7)³

14. What is a chord of a circle?
A = pi(r^2)
23 - 29
A chord is a line segment joining two points on a circle.
A-b is negative

15. A number is divisible by 6 if...
3 - 4 - 5
1
Reciprocal
Its divisible by 2 and by 3.

16. What is the 'Solution' for a set of inequalities.
The set of input values for a function.
90pi
1/x
The overlapping sections.

17. (x-y)²
x²-2xy+y²
27
9 & 6/7
72

18. 5/8 in percent?
62.5%
Factors are few - multiples are many.
10! / 3!(10-3)! = 120
The sum of the digits is a multiple of 9.

19. formula for the volume of a cube
angle that is greater than 90° but less than 180°
y/x is a constant
V=side³
1:sqrt3:2

20. Vertical lines
10! / 3!(10-3)! = 120
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...
Do not have slopes!
F(x) + c

21. The objects in a set are called two names:
1
(length)(width)(height)
The set of elements found in both A and B.
Members or elements

22. Formula for the area of a sector of a circle?
The second graph is less steep.
Sector area = (n/360) X (pi)r^2
Diameter(Pi)
70

23. Acute Angle
The sum of the digits is a multiple of 9.
an angle that is less than 90°
Ø
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.

24. 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?
16.6666%
$3 -500 in the 9% and $2 -500 in the 7%.
An infinite set.
(amount of decrease/original price) x 100%

25. 10<all primes<20
NOT A PRIME
11 - 13 - 17 - 19
Yes - like radicals can be added/subtracted.
Ab=k (k is a constant)

26. Whats the difference between factors and multiples?
y = (x + 5)/2
4725
Factors are few - multiples are many.
5 - 12 - 13

27. If an inequality is multiplied or divided by a negative number....
3
C = (pi)d
The graph of 3(x - 1)^2 is a translation (shift) of the graph one unit or space to the right.
The direction of the inequality is reversed.

28. What is an arc of a circle?
Multiply by 1+x% i.e. 100 x (1+50%)=100x1.5=150
31 - 37
V=side³
An arc is a portion of a circumference of a circle.

29. What is the ratio of the sides of an isosceles right triangle?
$3 -500 in the 9% and $2 -500 in the 7%.
(x+y)(x+y)
x^(2(4)) =x^8 = (x^4)^2
1:1:sqrt2

30. Ø Is neither
61 - 67
Move the decimal point to the right x places
Positive or Negative
180°

31. Can you add sqrt 3 and sqrt 5?
(rate)(time) d=rt
1/2 times 7/3
No - only like radicals can be added.
Undefined

32. Find the surface area of a cylinder with radius 3 and height 12.
Negative
Even prime number
(b + c)
90pi

33. The only number that is equal to its opposite
NOT A PRIME
1.0843 X 10^11
Negative
Ø Ø=Ø

34. x^2 = 9. What is the value of x?
3 - -3
The two xes after factoring.
4725
1/xn i.e. 5^-3 = 1/(5^3) = 1/ 125 = .008

35. binomial product of (x-y)²
Ø
(x+y)(x-y)
2 & 3/7
The interesection of A and B.

36. The Perimeter of a Square
V=Lwh
D=rt so r= d/t and t=d/r
P=4s (s=side)
A²+b²=c²

37. How to determine percent decrease?
(amount of decrease/original price) x 100%
83.333%
75:11
20.5

38. What are the roots of the quadrinomial x^2 + 2x + 1?
A multiple of every integer
The two xes after factoring.
12! / 5!7! = 792
0

39. Area of a triangle?
A reflection about the axis.
(base*height) / 2
11 - 13 - 17 - 19
x - x(SR3) - 2x

40. Evaluate 4/11 + 11/12
1:sqrt3:2
M= (Y1-Y2)/(X1-X2)
1 & 37/132
(length)(width)(height)

41. Area of a circle
(pi)r²
A=(base)(height)
1.7
26

42. Area of a Parallelogram:
F(x) - c
P=2(l+w)
A=(base)(height)
$11 -448

43. What is the name for a grouping of the members within a set based on a shared characteristic?
71 - 73 - 79
A percent is a fraction whose denominator is 100.
A subset.
2 - 3 - 5 - 7 - 11 - 13 - 17 - 19 - 23 - 29

44. Area of a rectangle
A = length x width
53 - 59
All real numbers which can'T be expressed as a ratio of two integers - positive and negative (pi - -sqrt3)
48

45. Volume of a rectangular solid
1/a^6
9
N! / (n-k)!
(length)(width)(height)

46. 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?
16.6666%
1.7
The shortest arc between points A and B on a circle'S diameter.
500

47. What is a major arc?

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48. What are the rational numbers?
angle that is greater than 90° but less than 180°
A=(base)(height)
The sum of the digits is a multiple of 9.
All numbers which can be expressed as a ratio of two integers. (All integers and fractions.) (-2 - 1 - .25 - 1/2)

49. The reciprocal of any non-zero #x is
NOT A PRIME
1 & 37/132
1/xn i.e. 5^-3 = 1/(5^3) = 1/ 125 = .008
1/x

50. The product of any number x and its reciprocal
Be Zero!
1.7
1
180 degrees