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GRE Math: All In One

Subjects : gre, math

Instructions:

Answer 50 questions in 15 minutes.
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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 an isoceles triangle?
28. n = 8 - k = 2. n! / k!(n-k)!
Two equal sides and two equal angles.
A-b is positive
The union of A and B.

2. a^2 - 2ab + b^2
3 - 4 - 5
an angle that is less than 90°
3
(a - b)^2

3. 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?
y = 2x^2 - 3
(a - b)(a + b)
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
All numbers which can be expressed as a ratio of two integers. (All integers and fractions.) (-2 - 1 - .25 - 1/2)

4. Consecutive integers
Ø
A reflection about the origin.
x - x+1 - x+2
26

5. What is an arc of a circle?
6
A multiple of every integer
An arc is a portion of a circumference of a circle.
The sum of its digits is divisible by 3.

6. What is the ratio of the sides of an isosceles right triangle?
An arc is a portion of a circumference of a circle.
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.
1:1:sqrt2
6

7. 60 < all primes <70
2.592 kg
1
61 - 67
360/n

8. (x-y)²
1
71 - 73 - 79
x²-2xy+y²
The set of input values for a function.

9. a<b then a - b is positive or negative?
A=½bh
A-b is negative
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)
$3 -500 in the 9% and $2 -500 in the 7%.

10. What is the area of a regular hexagon with side 6?
1
54sqrt3. (divide the hexagon into 6 congruent equilateral triangles.
V=Lwh
y = (x + 5)/2

11. factored binomial product of (x+y)²
180
Ø
x²+2xy+y²
9 & 6/7

12. A number is divisible by 3 if ...
53 - 59
(p + q)/5
Do not have slopes!
The sum of its digits is divisible by 3.

13. (x^2)^4
M= (Y1-Y2)/(X1-X2)
x^(2(4)) =x^8 = (x^4)^2
Even
The set of output values for a function.

14. What transformation occurs if point C is reflected over the x-axis and then the y-axis?
Edge³
A reflection about the axis.
Ø
6

15. What is the side length of an equilateral triangle with altitude 6?
Members or elements
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/a^6
180°

16. Slope of any line that goes up from left to right
An angle which is supplementary to an interior angle.
360/n
Positive
288 (8 9 4)

17. Define a 'monomial'
An expression with just one term (-6x - 2a^2)
The second graph is less steep.
Ø=P(E)=1
Ø Ø=Ø

18. Find distance when given time and rate
A reflection about the axis.
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.
ODD number
D=rt so r= d/t and t=d/r

19. Ø is
Even
(amount of decrease/original price) x 100%
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...
Null

20. 5/6 in percent?
360°
The shortest arc between points A and B on a circle'S diameter.
83.333%
2.592 kg

21. What is the set of elements found in both A and B?
.0004809 X 10^11
The interesection of A and B.
A²+b²=c²
28. n = 8 - k = 2. n! / k!(n-k)!

22. What is the graph of f(x) shifted downward c units or spaces?
F(x) - c
180
1.7
M

23. 1:sqrt3:2 is the ratio of the sides of what kind of triangle?
Undefined - because we can'T divide by 0.
13
A 30-60-90 triangle.
x²-2xy+y²

24. -3³
Negative
Undefined
441000 = 1 10 10 10 21 * 21
27

25. The Perimeter of a Square
62.5%
(n-2) x 180
P=4s (s=side)
6

26. What is the 'domain' of a function?
V=side³
28
Relationship cannot be determined (what if x is negative?)
The set of input values for a function.

27. 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?
The direction of the inequality is reversed.
A=pi*(r^2)
13
$3 -500 in the 9% and $2 -500 in the 7%.

28. 3/8 in percent?
The empty set - denoted by a circle with a diagonal through it.
37.5%
A-b is positive
Do not have slopes!

29. What is the measure of an exterior angle of a regular pentagon?
Circumference = Diameter(pi). Use pythagorean theorem to find the diagonal of the square (the diameter).
Indeterminable.
1/x
72

30. Circumference of a circle?
Diameter(Pi)
Be Zero!
(n-2) x 180
Prime numbers (2 - 3 - 5 - 7 - 11 - 13 - 17 - 19 - 23)

31. What is the slope of a horizontal line?
[(7+ sqrt93) /2] - [(7 - sqrt93) / 2]
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)
0
Cd

32. What is a percent?
61 - 67
A percent is a fraction whose denominator is 100.
The union of A and B.
Ab-ac

33. The four angles around a point measure y - 2y - 35 and 55 respectively. What is the value of y?
90
70
Even
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...

34. The product of any number x and its reciprocal
V=l×w×h
1
Its divisible by 2 and by 3.
4.25 - 6 - 22

35. Time
The set of elements which can be found in either A or B.
(distance)/(rate) d/r
Members or elements
y = 2x^2 - 3

36. (x-y)(x+y)
Positive
x²-y²
C = 2(pi)r
Positive or Negative

37. Formula to find a circle'S circumference from its radius?
13pi / 2
C = 2(pi)r
A = length x width
9 & 6/7

38. Which is greater? 27^(-4) or 9^(-8)
9 & 6/7
27^(-4)
6 : 1 : 2
No - only like radicals can be added.

39. Perimeter of a rectangle
A-b is negative
The point of intersection of the systems.
Multiply by 1+x% i.e. 100 x (1+50%)=100x1.5=150
P= 2L + 2w

40. If a is inversely porportional to b - what does it equal?
9
Ab=k (k is a constant)
16^8 64^5 = (4^3)^5 = 4^15 16^8=(4^2)^8 = 4^16
71 - 73 - 79

41. Solve the quadratic equation ax^2 + bx + c= 0
16.6666%
Members or elements
x = [(-b)+/- (sqrt b^2 - 4ac)]/2a
9 & 6/7

42. the measure of a straight angle
(x+y)(x-y)
Smallest positive integer
180°
The sum of its digits is divisible by 3.

43. What is the maximum value for the function g(x) = (-2x^2) -1?
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.)
A chord is a line segment joining two points on a circle.
8
1

44. Simplify the expression [(b^2 - c^2) / (b - c)]
(b + c)
Arc length = (n/360) x pi(2r) where n is the number of degrees.
2(pi)r
P= 2L + 2w

45. 5/8 in percent?
360°
Even
A subset.
62.5%

46. 30 60 90
x²-y²
3 - -3
A = pi(r^2)
5 - 12 - 13

47. a^2 - b^2
62.5%
3/2 - 5/3
y = (x + 5)/2
(a - b)(a + b)

48. What is the ratio of the surface area of a cube with an edge of 10 to the surface area of a rectangular solid with dimensions 2 - 4 - and 6?
2(pi)r
75:11
20.5
M

49. What is an exterior angle?
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.
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.
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)
An angle which is supplementary to an interior angle.

50. 3 is the opposite of
The objects within a set.
Expressing a number as the product of a decimal between 1 and 10 - and a power of 10.
3
360°

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GRE Math: All In One

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