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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. The objects in a set are called two names:
.0004809 X 10^11
3x - 4x - 5x
Circumference = Diameter(pi). Use pythagorean theorem to find the diagonal of the square (the diameter).
Members or elements

2. If y is directly proportional to x - what does it equal?
16^8 64^5 = (4^3)^5 = 4^15 16^8=(4^2)^8 = 4^16
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
NOT A PRIME
y/x is a constant

3. The Perimeter of a Square
67 - 71 - 73
P=4s (s=side)
Ab-ac
83.333%

4. Ø is a multiple of
1
Every number
2 & 3/7
The overlapping sections.

5. 10^6 has how many zeroes?
6
The sum of the digits is a multiple of 9.
(a - b)(a + b)
D/t (distance)/(time)

6. What is the third quartile of the following data set: 44 - 58 - 63 - 63 - 68 - 70 - 82
A natural number greater than 1 that has no positive divisors other than 1 and itself
71 - 73 - 79
67 - 71 - 73
70

7. If the two sides of a triangle are unequal then the longer side.................
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.
Lies opposite the greater angle
y = 2x^2 - 3
The sum of the digits is a multiple of 9.

8. What is the sum of the angles of a triangle?
180 degrees
10! / 3!(10-3)! = 120
4725
180

9. Which is greater? 64^5 or 16^8
Distance=rate×time or d=rt
1.0843 X 10^11
Add them. i.e. (5^7) * (5^3) = 5^10
16^8 64^5 = (4^3)^5 = 4^15 16^8=(4^2)^8 = 4^16

10. Describe the relationship between the graphs of x^2 and (1/2)x^2
Undefined - because we can'T divide by 0.
Be Zero!
An expression with just one term (-6x - 2a^2)
The second graph is less steep.

11. What is it called when a point is reflected to the quadrant opposite it (i.e. I to III or II to IV)?
61 - 67
A reflection about the origin.
M= (Y1-Y2)/(X1-X2)
Distance=rate×time or d=rt

12. How to recognize a multiple of 6
Sum of digits is a multiple of 3 and the last digit is even.
Indeterminable.
A term is a numerical constant or the product (or quotient) of a numerical constant and one or more variables. (3x - 4x^2 and 2a/c)
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

13. What is the surface area of a cylinder with radius 5 and height 8?
Pi is the ratio of a circle'S circumference to its diameter.
20.5
D=rt so r= d/t and t=d/r
130pi

14. What is the relationship between lengths of the sides of a triangle and the measure of the angles of the triangle?
Reciprocal
1/x
70
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.

15. 30 60 90
5 - 12 - 13
Parallelogram
48
Sum of digits is a multiple of 3 and the last digit is even.

16. A prime number (or a prime)
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.)
A natural number greater than 1 that has no positive divisors other than 1 and itself
(p + q)/5
A-b is positive

17. If a<b - then
Two (Ø×2=Ø)
A=pi*(r^2)
1/a^6
A+c<b+c

18. The sum of all angles around a point
360°
The point of intersection of the systems.
Its last two digits are divisible by 4.
A term is a numerical constant or the product (or quotient) of a numerical constant and one or more variables. (3x - 4x^2 and 2a/c)

19. Circumference of a circle?
Diameter(Pi)
180°
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.
Even prime number

20. 1/8 in percent?
4a^2(b)
A grouping of the members within a set based on a shared characteristic.
1 - 4 - 9 - 16 - 25 - 36 - 49 - 64 - 81 - 100 - 121 - 144 - 169 - 196 - 225
12.5%

21. b¹
(2x7)³
A reflection about the axis.
1
13

22. 1:1:sqrt2 is the ratio of the sides of what kind of triangle?
A multiple of every integer
Expressing a number as the product of a decimal between 1 and 10 - and a power of 10.
An isosceles right triangle.
An expression with just one term (-6x - 2a^2)

23. 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...
Even
2.592 kg
2 - 3 - 5 - 7 - 11 - 13 - 17 - 19 - 23 - 29

24. Positive integers that have exactly 2 positive divisors are
A = pi(r^2)
Prime numbers (2 - 3 - 5 - 7 - 11 - 13 - 17 - 19 - 23)
= (actual decrease/Original amount) x 100%
180

25. X is the opposite of
9
3x - 4x - 5x
A term is a numerical constant or the product (or quotient) of a numerical constant and one or more variables. (3x - 4x^2 and 2a/c)
X

26. The consecutive angles in a parallelogram equal
x²+2xy+y²
180°
= (actual decrease/Original amount) x 100%
(b + c)

27. What is a set with no members called?
The empty set - denoted by a circle with a diagonal through it.
5 - 12 - 13
A-b is positive
Members or elements

28. The percent decrease of a quantity
62.5%
= (actual decrease/Original amount) x 100%
(a - b)(a + b)
An angle which is supplementary to an interior angle.

29. Formula to calculate arc length?
A subset.
Arc length = (n/360) x pi(2r) where n is the number of degrees.
Yes - because you can factor out a perfect square (36). Sqrt(36 x 2) = sqrt36 X sqrt2 = 6sqrt2.
(12/2) x (sqrt15 / sqrt5) = 6sqrt3

30. 60 < all primes <70
An angle which is supplementary to an interior angle.
Distance=rate×time or d=rt
61 - 67
A = pi(r^2)

31. What are the irrational numbers?

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32. Perfect Squares 1-15
A chord is a line segment joining two points on a circle.
1 - 4 - 9 - 16 - 25 - 36 - 49 - 64 - 81 - 100 - 121 - 144 - 169 - 196 - 225
48
Expressing a number as the product of a decimal between 1 and 10 - and a power of 10.

33. What is the slope of a horizontal line?
0
37.5%
x - x(SR3) - 2x
90pi

34. bn
Multiply by 1+x% i.e. 100 x (1+50%)=100x1.5=150
Arc length = (n/360) x pi(2r) where n is the number of degrees.
B?b?b (where b is used as a factor n times)
A term is a numerical constant or the product (or quotient) of a numerical constant and one or more variables. (3x - 4x^2 and 2a/c)

35. Perimeter of a rectangle
11 - 13 - 17 - 19
P= 2L + 2w
The sum of the digits is a multiple of 9.
Ab+ac

36. How many sides does a hexagon have?
6
180
2 & 3/7
27

37. In any polygon - all external angles equal up to
= (actual decrease/Original amount) x100% = 20/100x100% = 20%
360°
P(E) = ø
180°

38. (x+y)²
1/2 times 7/3
x²+2xy+y²
An is positive
6 : 1 : 2

39. 1 is an
1 - P(E)
(x+y)(x-y)
13pi / 2
ODD number

40. Legs 6 - 8. Hypotenuse?
180°
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 - 13 - 17 - 19
10

41. Convert 0.7% to a fraction.
Sum of digits is a multiple of 3 and the last digit is even.
V=side³
Ab-ac
7 / 1000

42. 1/Ø=null If a>b then
28
9 & 6/7
A<-b
1:1:sqrt2

43. A cylinder has a surface area of 22pi. If the cylinder has a height of 10 - what is the radius?
1
Lies opposite the greater angle
12! / 5!7! = 792
A chord is a line segment joining two points on a circle.

44. Simplify (a^2 + b)^2 - (a^2 - b)^2
2^9 / 2 = 256
2.592 kg
Ø
4a^2(b)

45. What is the common monomial factor in the expression 4(c^3)d - (c^2)(d^2) + 2cd?
When we need to avoid having a zero in the denominator or avoid taking the square root of a number.
A= (1/2) b*h
A<-b
Cd

46. When multiplying exponential #s with the same base - you do this to the exponents...
48
Diameter(Pi)
Edge³
Add them. i.e. (5^7) * (5^3) = 5^10

47. 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?
13
Relationship cannot be determined (what if x is negative?)
6 : 1 : 2
y = 2x^2 - 3

48. A brick with dimensions 10. 15 and 25 weighs 1.5 kg. A second brick (same density) has dimensions 12 - 18 - and 30. What is the weight of the second brick?
1.7
y = 2x^2 - 3
2.592 kg
= (actual decrease/Original amount) x100% = 20/100x100% = 20%

49. A cylinder has surface area 22pi. If the cylinder has a height of 10 - what is its radius?
Null
90
Prime numbers (2 - 3 - 5 - 7 - 11 - 13 - 17 - 19 - 23)
1

50. A company places a 6-symbol code on each product. The code consists of the letter T - followed by 3 numerical digits - and then 2 consonants (Y is a conson). How many codes are possible?
83.333%
(pi)r²
A percent is a fraction whose denominator is 100.
441000 = 1 10 10 10 21 * 21