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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 are the smallest three prime numbers greater than 65?
12.5%
Infinite.
Even prime number
67 - 71 - 73

2. The sum of all angles around a point
Pi is the ratio of a circle'S circumference to its diameter.
360°
y2-y1/x2-x1
1/xn i.e. 5^-3 = 1/(5^3) = 1/ 125 = .008

3. Probability of E not occurring:
(rate)(time) d=rt
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.
1 - P(E)
1/a^6

4. the slope of a line in y=mx+b
360°
A chord is a line segment joining two points on a circle.
3 - 4 - 5
M

5. What is a major arc?

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6. Pythagorean theorem
8
A²+b²=c²
1
y2-y1/x2-x1

7. 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?
Every number
12.5%
28. n = 8 - k = 2. n! / k!(n-k)!
52

8. One is (a prime or not?)
441000 = 1 10 10 10 21 * 21
Smallest positive integer
Edge³
NOT A PRIME

9. Simplify the expression [(b^2 - c^2) / (b - c)]
PEMDAS (Parentheses Exponents Multiplication/Division Addition/Subtraction)
(b + c)
A-b is negative
Even prime number

10. 50 < all primes< 60
90pi
53 - 59
The greatest value minus the smallest.
x²-2xy+y²

11. (x-y)(x+y)
27
x²-y²
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

12. Define a 'Term' -
2²
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)
9
Positive

13. If you have a set of n objects - but you only want to order k of them - what formula do you use to determine the number of permutations?
All real numbers which can'T be expressed as a ratio of two integers - positive and negative (pi - -sqrt3)
90°
N! / (n-k)!
2(pi)r

14. 30< all primes<40
A = pi(r^2)
(n-2) x 180
31 - 37
P=2(l+w)

15. How many 3-digit positive integers are even and do not contain the digit 4?
The two xes after factoring.
62.5%
288 (8 9 4)
1/x

16. What is an exterior angle?
y2-y1/x2-x1
x(x - y + 1)
An angle which is supplementary to an interior angle.
A=(base)(height)

17. (x-y)²
F(x) + c
1
x^(4+7) = x^11
x²-2xy+y²

18. 2 is the only
Even prime number
A set with a number of elements which can be counted.
A = length x width
5

19. If a is inversely porportional to b - what does it equal?
(2x7)³
Ab=k (k is a constant)
(n-2) x 180
The set of output values for a function.

20. Can you simplify sqrt72?
All real numbers which can'T be expressed as a ratio of two integers - positive and negative (pi - -sqrt3)
A chord is a line segment joining two points on a circle.
A-b is negative
Yes - because you can factor out a perfect square (36). Sqrt(36 x 2) = sqrt36 X sqrt2 = 6sqrt2.

21. a<b then a - b is positive or negative?
1
A-b is negative
x²-2xy+y²
The sum of its digits is divisible by 3.

22. If E is certain
The steeper the slope.
(a - b)(a + b)
0
P(E) = 1/1 = 1

23. In a Regular Polygon - the measure of each exterior angle
360/n
P(E) = ø
No - only like radicals can be added.
M= (Y1-Y2)/(X1-X2)

24. Which is greater? 64^5 or 16^8
16^8 64^5 = (4^3)^5 = 4^15 16^8=(4^2)^8 = 4^16
1.7
ODD number
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

25. Dividing by a number is the same as multiplying it by its
Reciprocal
An infinite set.
Diameter(Pi)
(a + b)^2

26. Factor a^2 + 2ab + b^2
A=½bh
(a + b)^2
Even
360°

27. Convert 0.7% to a fraction.
7 / 1000
The set of input values for a function.
0
(a + b)^2

28. If y is directly proportional to x - what does it equal?
Be Zero!
C=2 x pi x r OR pi x D
y/x is a constant
55%

29. -3²
180°
A= (1/2) b*h
7 / 1000
9

30. Ø Is neither
6
54sqrt3. (divide the hexagon into 6 congruent equilateral triangles.
Positive or Negative
x^(2(4)) =x^8 = (x^4)^2

31. Circumference of a circle
Multiply by 1+x% i.e. 100 x (1+50%)=100x1.5=150
Two angles whose sum is 180.
Pi(diameter)
(a - b)^2

32. If a=-1 and b=3 - what is the value of (4(a^3)(b^2) - 12(a^2)(b^5)) / (16(a^3)(b^2))?
20.5
1
x^(2(4)) =x^8 = (x^4)^2
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...

33. What is the sum of the angles of a triangle?
1/a^6
360°
180 degrees
Sector area = (n/360) X (pi)r^2

34. Ø is a multiple of
9 : 25
Every number
Null
0

35. What is the 'Solution' for a set of inequalities.
A=(base)(height)
The overlapping sections.
C = 2(pi)r
A-b is negative

36. The product of any number x and its reciprocal
1
Ab-ac
288 (8 9 4)
Cross multiplication a/b=c/d 4/6=10/15 4(15)=6(10) 60=60

37. a^2 - 2ab + b^2
(a - b)^2
83.333%
= (actual decrease/Original amount) x 100%
(pi)r²

38. 1/2 divided by 3/7 is the same as
The steeper the slope.
Undefined
1/2 times 7/3
The two xes after factoring.

39. How to recognize if a # is a multiple of 12
Triangles with same measure and same side lengths.
Distance=rate×time or d=rt
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.)
M= (Y1-Y2)/(X1-X2)

40. What is a chord of a circle?
A chord is a line segment joining two points on a circle.
A subset.
1.7
A reflection about the axis.

41. Circumference of a circle?
500
(amount of decrease/original price) x 100%
Diameter(Pi)
C = (pi)d

42. Simplify the expression (p^2 - q^2)/ -5(q - p)
The second graph is less steep.
10! / 3!(10-3)! = 120
(p + q)/5
Cd

43. What is the graph of f(x) shifted left c units or spaces?
F(x + c)
C = (pi)d
P(E) = 1/1 = 1
26

44. a^2 - b^2 =
x²-2xy+y²
10
Two equal sides and two equal angles.
(a - b)(a + b)

45. The sum of the measures of the n angles in a polygon with n sides
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
87.5%
(n-2) x 180
Smallest positive integer

46. (x+y)²
x²+2xy+y²
N! / (k!)(n-k)!
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
1 & 37/132

47. Volume of a rectangular box
V=Lwh
A 30-60-90 triangle.
The overlapping sections.
A multiple of every integer

48. Formula for the area of a sector of a circle?
Positive
(x+y)(x-y)
The second graph is less steep.
Sector area = (n/360) X (pi)r^2

49. The negative exponent x?n is equivalent to what?
No - only like radicals can be added.
V=side³
360°
1/xn i.e. 5^-3 = 1/(5^3) = 1/ 125 = .008

50. Nine coins are tossed simultaneously. In how many of the outcomes will the fourth coin tossed show heads?
Do not have slopes!
2^9 / 2 = 256
11 - 13 - 17 - 19
N! / (n-k)!