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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. a^2 - 2ab + b^2
Pi(diameter)
All real numbers which can'T be expressed as a ratio of two integers - positive and negative (pi - -sqrt3)
(a - b)^2
360°

2. 30 60 90
3 - 4 - 5
y = 2x^2 - 3
500
An angle which is supplementary to an interior angle.

3. a^2 + 2ab + b^2
A= (1/2) b*h
12sqrt2
(a + b)^2
Even prime number

4. (x-y)(x+y)
The steeper the slope.
2 & 3/7
x²-y²
Expressing a number as the product of a decimal between 1 and 10 - and a power of 10.

5. factored binomial product of (x-y)²
$11 -448
angle that is greater than 90° but less than 180°
Its last two digits are divisible by 4.
x²-2xy+y²

6. If y is directly proportional to x - what does it equal?
360°
V=Lwh
y/x is a constant
Arc length = (n/360) x pi(2r) where n is the number of degrees.

7. The Perimeter of a Square
x²-2xy+y²
5
P=4s (s=side)
Cd

8. To multiply a number by 10^x
(a - b)(a + b)
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
Move the decimal point to the right x places
(p + q)/5

9. Can you subtract 3sqrt4 from sqrt4?
x(x - y + 1)
The overlapping sections.
Yes - like radicals can be added/subtracted.
Positive or Negative

10. 0^0
x²-2xy+y²
zero
Yes - because you can factor out a perfect square (36). Sqrt(36 x 2) = sqrt36 X sqrt2 = 6sqrt2.
Undefined

11. formula for area of a triangle
Even prime number
A=½bh
A subset.
3

12. 1/8 in percent?
Two angles whose sum is 90.
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...
12.5%
48

13. Formula to calculate arc length?
C = 2(pi)r
ODD number
Arc length = (n/360) x pi(2r) where n is the number of degrees.
x - x+1 - x+2

14. Which is greater? 27^(-4) or 9^(-8)
1
Be Zero!
M
27^(-4)

15. What is the set of elements which can be found in either A or B?
The union of A and B.
Ab-ac
(rate)(time) d=rt
A set with a number of elements which can be counted.

16. a^2 - b^2 =
x^(4+7) = x^11
27^(-4)
(a - b)(a + b)
4.25 - 6 - 22

17. 5/8 in percent?
Circumference = Diameter(pi). Use pythagorean theorem to find the diagonal of the square (the diameter).
The shortest arc between points A and B on a circle'S diameter.
1/xn i.e. 5^-3 = 1/(5^3) = 1/ 125 = .008
62.5%

18. 5x^2 - 35x -55 = 0
360/n
2
[(7+ sqrt93) /2] - [(7 - sqrt93) / 2]
18

19. Simplify 4sqrt21 X 5sqrt2 / 10sqrt7
1 & 37/132
= (actual decrease/Original amount) x 100%
Factors are few - multiples are many.
2sqrt6

20. the slope of a line in y=mx+b
The objects within a set.
M
The sum of digits is divisible by 9.
62.5%

21. Probability of Event all cases
2 & 3/7
A 30-60-90 triangle.
When we need to avoid having a zero in the denominator or avoid taking the square root of a number.
Ø=P(E)=1

22. What is the coefficient of the x^2 term in the product of (x + 1)(x + 2)(x -1)?
1/x
Null
2
The point of intersection of the systems.

23. Area of a circle
4096
(pi)r²
A chord is a line segment joining two points on a circle.
The steeper the slope.

24. The sum of the measures of the n angles in a polygon with n sides
x^(4+7) = x^11
28
(n-2) x 180
Undefined - because we can'T divide by 0.

25. How many 3-digit positive integers are even and do not contain the digit 4?
288 (8 9 4)
Prime numbers (2 - 3 - 5 - 7 - 11 - 13 - 17 - 19 - 23)
P=4s (s=side)
2 & 3/7

26. If the two sides of a triangle are unequal then the longer side.................
A multiple of every integer
10! / (10-3)! = 720
(6 x 2)(sqrt3 x sqrt5) = 12sqrt15
Lies opposite the greater angle

27. What does scientific notation mean?
288 (8 9 4)
The longest arc between points A and B on a circle'S diameter.
10
Expressing a number as the product of a decimal between 1 and 10 - and a power of 10.

28. A cylinder has a surface area of 22pi. If the cylinder has a height of 10 - what is the radius?
A= (1/2) b*h
Positive or Negative
1
10

29. Slope
y2-y1/x2-x1
0
Relationship cannot be determined (what if x is negative?)
16.6666%

30. From a box of 12 candles - you are to remove 5. How many different sets of 5 candles could you remove?
1/2 times 7/3
12! / 5!7! = 792
(p + q)/5
3

31. T or F? Given d -e &f =/ 0 - [(d^3)e(f^5)] / 2d(e^3) / [3(d^2)(e^3)(f^7)] / [6(e^5)(f^2)]?
27
P=4s (s=side)
True
4:9. The ratio of the areas of two similar triangles equals the square of the ratio of the corresponding sides.

32. What is the measure of an exterior angle of a regular pentagon?
P(E) = 1/1 = 1
72
54sqrt3. (divide the hexagon into 6 congruent equilateral triangles.
C=2 x pi x r OR pi x D

33. Area of a circle
Every number
(x+y)(x+y)
A=½bh
A=pi*(r^2)

34. Area of a rectangle
Do not have slopes!
Arc length = (n/360) x pi(2r) where n is the number of degrees.
(n-2) x 180
A = length x width

35. 3 is the opposite of
The set of input values for a function.
D/t (distance)/(time)
3
0

36. There are 10 finalists for the school spelling bee. A first - second - and third place trophy will be awarded. How many different people can get the three prizes?
The steeper the slope.
52
10! / 3!(10-3)! = 120
0

37. The larger the absolute value of the slope...
Positive or Negative
y/x is a constant
(b + c)
The steeper the slope.

38. Area of a triangle
EVEN
72
A= (1/2) b*h
500

39. a(b+c)
13pi / 2
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+y)(x-y)
Ab+ac

40. What are the members or elements of a set?
Indeterminable.
The overlapping sections.
Its last two digits are divisible by 4.
The objects within a set.

41. binomial product of (x+y)²
(x+y)(x+y)
18
y/x is a constant
A=(base)(height)

42. Slope of any line that goes up from left to right
37.5%
Positive
Yes - because you can factor out a perfect square (36). Sqrt(36 x 2) = sqrt36 X sqrt2 = 6sqrt2.
1:sqrt3:2

43. What is a chord of a circle?
A chord is a line segment joining two points on a circle.
90pi
A central angle is an angle formed by 2 radii.
A percent is a fraction whose denominator is 100.

44. 1 is an
ODD number
Yes - because you can factor out a perfect square (36). Sqrt(36 x 2) = sqrt36 X sqrt2 = 6sqrt2.
Negative
Pi(diameter)

45. Find distance when given time and rate
A=pi*(r^2)
D=rt so r= d/t and t=d/r
(a + b)^2
1

46. Volume of a rectangular solid
True
Even
3/2 - 5/3
(length)(width)(height)

47. 3/8 in percent?
x²-2xy+y²
Relationship cannot be determined (what if x is negative?)
4.25 - 6 - 22
37.5%

48. One is (a prime or not?)
7 / 1000
12! / 5!7! = 792
NOT A PRIME
67 - 71 - 73

49. What is the slope of a vertical line?

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50. A prime number (or a prime)
(amount of decrease/original price) x 100%
Be Zero!
62.5%
A natural number greater than 1 that has no positive divisors other than 1 and itself