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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. 7 divided by Ø
2 - 3 - 5 - 7 - 11 - 13 - 17 - 19 - 23 - 29
C = 2(pi)r
Null
F(x + c)

2. Factor x^2 - xy + x.
4725
x(x - y + 1)
288 (8 9 4)
y/x is a constant

3. The reciprocal of any non-zero #x is
The sum of its digits is divisible by 3.
1/x
360°
x²-2xy+y²

4. When does a function automatically have a restricted domain (2)?
10! / (10-3)! = 720
When we need to avoid having a zero in the denominator or avoid taking the square root of a number.
Negative
27

5. Positive integers that have exactly 2 positive divisors are
Prime numbers (2 - 3 - 5 - 7 - 11 - 13 - 17 - 19 - 23)
360°
2sqrt6
A chord is a line segment joining two points on a circle.

6. Dividing by a number is the same as multiplying it by its
Undefined - because we can'T divide by 0.
500
54sqrt3. (divide the hexagon into 6 congruent equilateral triangles.
Reciprocal

7. formula for area of a triangle
(p + q)/5
54sqrt3. (divide the hexagon into 6 congruent equilateral triangles.
A=½bh
Distance=rate×time or d=rt

8. formula for volume of a rectangular solid
= (actual decrease/Original amount) x 100%
5 OR -5
V=l×w×h
3x - 4x - 5x

9. The negative exponent x?n is equivalent to what?
Pi(diameter)
A= (1/2) b*h
A²+b²=c²
1/xn i.e. 5^-3 = 1/(5^3) = 1/ 125 = .008

10. In a triangle where the two legs are 4 and 3 - what is the value of a line directly intersecting the middle coming from the meeting point of the two legs?
4:5
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
... the square of the ratios of the corresponding sides.
Every number

11. If a is negative and n is even then an is (positive or negative?)
The longest arc between points A and B on a circle'S diameter.
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)
Two (Ø×2=Ø)
An is positive

12. What is a minor arc?

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13. If an inequality is multiplied or divided by a negative number....
9 : 25
x²-2xy+y²
The direction of the inequality is reversed.
Relationship cannot be determined (what if x is negative?)

14. What is the intersection of A and B?
3
(a + b)^2
Even prime number
The set of elements found in both A and B.

15. formula for the volume of a cube
Reciprocal
5 OR -5
Two (Ø×2=Ø)
V=side³

16. Ø²
V=l×w×h
The sum of digits is divisible by 9.
3
Ø

17. What is the relationship between lengths of the sides of a triangle and the measure of the angles of the triangle?
The sum of its digits is divisible by 3.
(base*height) / 2
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.
$3 -500 in the 9% and $2 -500 in the 7%.

18. Ø is a multiple of
7 / 1000
F(x) - c
P(E) = 1/1 = 1
Every number

19. 3 is the opposite of
A chord is a line segment joining two points on a circle.
3
1
No - only like radicals can be added.

20. Define a 'Term' -
6 : 1 : 2
x²-y²
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)
An isosceles right triangle.

21. 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?
10! / 3!(10-3)! = 120
500
No - only like radicals can be added.
Every number

22. Number of degrees in a triangle
x = [(-b)+/- (sqrt b^2 - 4ac)]/2a
Reciprocal
An expression with just one term (-6x - 2a^2)
180

23. Probability of an Event
(rate)(time) d=rt
P(E) = number of favorable outcomes/total number of possible outcomes
A<-b
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.)

24. 3/8 in percent?
37.5%
The set of elements found in both A and B.
Pi(diameter)
12.5%

25. What is the sum of the angles of a triangle?
26
Two angles whose sum is 180.
11 - 13 - 17 - 19
180 degrees

26. 30 60 90
Straight Angle
x^(2(4)) =x^8 = (x^4)^2
3x - 4x - 5x
An arc is a portion of a circumference of a circle.

27. The Denominator can never
PEMDAS (Parentheses Exponents Multiplication/Division Addition/Subtraction)
Be Zero!
The set of input values for a function.
1

28. Legs 6 - 8. Hypotenuse?
1
10
12.5%
12sqrt2

29. What is the side length of an equilateral triangle with altitude 6?
N! / (k!)(n-k)!
Yes - like radicals can be added/subtracted.
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...
C=2 x pi x r OR pi x D

30. In any polygon - all external angles equal up to
360°
3
90°
28. n = 8 - k = 2. n! / k!(n-k)!

31. What is an exterior angle?
18
An angle which is supplementary to an interior angle.
Straight Angle
2^9 / 2 = 256

32. Area of a rectangle
A = length x width
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...
1.7
(b + c)

33. 1 is the
Smallest positive integer
The sum of its digits is divisible by 3.
Multiply by 1+x% i.e. 100 x (1+50%)=100x1.5=150
ODD number

34. What are congruent triangles?
An angle which is supplementary to an interior angle.
(x+y)(x+y)
Triangles with same measure and same side lengths.
360°

35. What is the name of set with a number of elements which cannot be counted?
A chord is a line segment joining two points on a circle.
130pi
An infinite set.
(amount of decrease/original price) x 100%

36. Ø is
Even
The steeper the slope.
A chord is a line segment joining two points on a circle.
A-b is negative

37. If Event is impossible
y2-y1/x2-x1
P(E) = ø
D=rt so r= d/t and t=d/r
N! / (k!)(n-k)!

38. 1:sqrt3:2 is the ratio of the sides of what kind of triangle?
Diameter(Pi)
x²-2xy+y²
441000 = 1 10 10 10 21 * 21
A 30-60-90 triangle.

39. Circumference of a Circle
2 - 3 - 5 - 7 - 11 - 13 - 17 - 19 - 23 - 29
C=2 x pi x r OR pi x D
Lies opposite the greater angle
1

40. Slope of any line that goes down as you move from left to right is
Distance=rate×time or d=rt
Even prime number
M
Negative

41. binomial product of (x+y)(x-y)
x^(4+7) = x^11
x²-y²
1/2 times 7/3
2.592 kg

42. -3³
27
(12/2) x (sqrt15 / sqrt5) = 6sqrt3
10! / (10-3)! = 720
3x - 4x - 5x

43. a^0 =
Yes - because you can factor out a perfect square (36). Sqrt(36 x 2) = sqrt36 X sqrt2 = 6sqrt2.
Prime numbers (2 - 3 - 5 - 7 - 11 - 13 - 17 - 19 - 23)
1
x²+2xy+y²

44. 2³×7³
= (actual decrease/Original amount) x 100%
(2x7)³
(12/2) x (sqrt15 / sqrt5) = 6sqrt3
2^9 / 2 = 256

45. The important properties of a 45-45-90 triangle?
67 - 71 - 73
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.
27
Yes - like radicals can be added/subtracted.

46. There are 10 finalists for the school spelling bee. A first - second - and third place trophy will be awarded. In how many ways can the judges award the 3 prizes?
The greatest value minus the smallest.
Triangles with same measure and same side lengths.
10! / (10-3)! = 720
360°

47. What is the ratio of the sides of an isosceles right triangle?
1:1:sqrt2
F(x) + c
6
(length)(width)(height)

48. Area of a circle
3
A=pi*(r^2)
0
A 30-60-90 triangle.

49. What is the name for a grouping of the members within a set based on a shared characteristic?
A subset.
Straight Angle
Diameter(Pi)
Relationship cannot be determined (what if x is negative?)

50. A cylinder has a surface area of 22pi. If the cylinder has a height of 10 - what is the radius?
2.592 kg
All real numbers which can'T be expressed as a ratio of two integers - positive and negative (pi - -sqrt3)
1
3