Test your basic knowledge |

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 is an isoceles triangle?
Two equal sides and two equal angles.
Parallelogram
A²+b²=c²
Subtract them. i.e (5^7)/(5^3)= 5^4

2. If y is directly proportional to x - what does it equal?
441000 = 1 10 10 10 21 * 21
The set of input values for a function.
7 / 1000
y/x is a constant

3. Which is greater? 27^(-4) or 9^(-8)
67 - 71 - 73
Do not have slopes!
27^(-4)
4725

4. (x-y)(x+y)
P= 2L + 2w
= 25%. = (actual increase/original amount) x 100% = 20/80 x 100% = 1/4 x 100% = 25%
x²-y²
Distance=rate×time or d=rt

5. Ø is
B?b?b (where b is used as a factor n times)
(rate)(time) d=rt
Even
Lies opposite the greater angle

6. For similar triangles - the ratio of their corresponding sides is 2:3. What is the ratio of their areas?
Move the decimal point to the right x places
Null
4:9. The ratio of the areas of two similar triangles equals the square of the ratio of the corresponding sides.
A=pi*(r^2)

7. The negative exponent x?n is equivalent to what?
Pi is the ratio of a circle'S circumference to its diameter.
1/xn i.e. 5^-3 = 1/(5^3) = 1/ 125 = .008
Factors are few - multiples are many.
12! / 5!7! = 792

8. What is the third quartile of the following data set: 44 - 58 - 63 - 63 - 68 - 70 - 82
11 - 13 - 17 - 19
2.592 kg
70
(rate)(time) d=rt

9. If a pair of parallel lines is cut by a transversal that'S not perpendicular - the sum of any acute angle and any obtuse angle is
180
Arc length = (n/360) x pi(2r) where n is the number of degrees.
D/t (distance)/(time)
Every number

10. Acute Angle
an angle that is less than 90°
Sector area = (n/360) X (pi)r^2
N! / (k!)(n-k)!
Negative

11. x^4 + x^7 =
The sum of its digits is divisible by 3.
70
x^(4+7) = x^11
A tangent is a line that only touches one point on the circumference of a circle.

12. The Perimeter of a Square
Cd
P=4s (s=side)
130pi
3

13. Employee X is paid 19.50 per hour no matter how many a week. Employee Y earns 18 for the first 40 and 1.5 the hourly wage for every hour after that. If both earned the same amount and worked the same in one week - how many did each work?
48
The two xes after factoring.
(x+y)(x+y)
1:sqrt3:2

14. 2 is the only
Even prime number
90pi
A set with no members - denoted by a circle with a diagonal through it.
13pi / 2

15. Evaluate (4^3)^2
4096
Even prime number
6
The set of elements found in both A and B.

16. What are the members or elements of a set?
an angle that is less than 90°
5
A+c<b+c
The objects within a set.

17. The percent decrease of a quantity
y = 2x^2 - 3
Undefined
Ø=P(E)=1
= (actual decrease/Original amount) x 100%

18. formula for the volume of a cube
The sum of digits is divisible by 9.
Negative
V=side³
A subset.

19. Area of a circle
A=pi*(r^2)
2 & 3/7
The set of elements found in both A and B.
Ø Ø=Ø

20. the measure of a straight angle
V=l×w×h
180°
The point of intersection of the systems.
A central angle is an angle formed by 2 radii.

21. Obtuse Angle
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
angle that is greater than 90° but less than 180°
x²-y²
(a + b)^2

22. 60 < all primes <70
61 - 67
Edge³
Relationship cannot be determined (what if x is negative?)
180

23. a^2 - b^2
(p + q)/5
A<-b
an angle that is less than 90°
(a - b)(a + b)

24. What is a major arc?

Warning: Invalid argument supplied for foreach() in /var/www/html/basicversity.com/show_quiz.php on line 183

25. Formula to calculate arc length?
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.
Add them. i.e. (5^7) * (5^3) = 5^10
P=4s (s=side)

26. If a product of two numbers is Ø - one number must be
Ø
28. n = 8 - k = 2. n! / k!(n-k)!
A=(base)(height)
A natural number greater than 1 that has no positive divisors other than 1 and itself

27. 3/8 in percent?
1
37.5%
Positive or Negative
72

28. 8.84 / 5.2
Infinite.
An is positive
The graph of 3(x - 1)^2 is a translation (shift) of the graph one unit or space to the right.
1.7

29. X is the opposite of
1.0843 X 10^11
X
(b + c)
10! / 3!(10-3)! = 120

30. Suppose that the graph of f(x) is the result of stretching y=x + 5 away from the x-axis by a factor of 2. What is the new equation for the graph f(x)?
An infinite set.
Add them. i.e. (5^7) * (5^3) = 5^10
83.333%
y = (x + 5)/2

31. 30 60 90
53 - 59
[(7+ sqrt93) /2] - [(7 - sqrt93) / 2]
3x - 4x - 5x
A chord is a line segment joining two points on a circle.

32. Area of a triangle
C = 2(pi)r
No - only like radicals can be added.
A= (1/2) b*h
V=side³

33. Important properties of a 30-60-90 triangle?
The direction of the inequality is reversed.
1
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
x^(2(4)) =x^8 = (x^4)^2

34. Volume of a rectangular solid
Two (Ø×2=Ø)
(length)(width)(height)
An angle which is supplementary to an interior angle.
The steeper the slope.

35. P and r are factors of 100. What is greater - pr or 100?
Indeterminable.
An isosceles right triangle.
A = length x width
The empty set - denoted by a circle with a diagonal through it.

36. What is the ratio of the sides of an isosceles right triangle?
90
A<-b
1:1:sqrt2
Factors are few - multiples are many.

37. The Perimeter of a rectangle
180°
Undefined
= (actual decrease/Original amount) x 100%
P=2(l+w)

38. (a^-1)/a^5
(a - b)(a + b)
1/a^6
9 : 25
Undefined

39. What is the slope of a vertical line?

Warning: Invalid argument supplied for foreach() in /var/www/html/basicversity.com/show_quiz.php on line 183

40. Suppose you have a set of n objects - and you want to select k of them - but the order doesn'T matter. What formula do you use to determine the number of combinations of n objects taken k at a time?
Two angles whose sum is 90.
5 OR -5
N! / (k!)(n-k)!
y2-y1/x2-x1

41. When does a function automatically have a restricted domain (2)?
When we need to avoid having a zero in the denominator or avoid taking the square root of a number.
37.5%
A chord is a line segment joining two points on a circle.
26

42. Pythagorean theorem
A= (1/2) b*h
75:11
A²+b²=c²
2 & 3/7

43. How many 3-digit positive integers are even and do not contain the digit 4?
288 (8 9 4)
A²+b²=c²
A set with no members - denoted by a circle with a diagonal through it.
1.7

44. 2³×7³
A= (1/2) b*h
Sum of digits is a multiple of 3 and the last digit is even.
A set with a number of elements which can be counted.
(2x7)³

45. If Event is impossible
P(E) = ø
x^(2(4)) =x^8 = (x^4)^2
An algebraic expression is a combination of one of more terms. Terms in an expression are separated by either addition or subtraction signs. (3xy - 4ab - -5cd - x^2 + x - 1)
1/x

46. Is 0 even or odd?
x^(6-3) = x^3
Even
180
180

47. What is the area of a regular hexagon with side 6?
1 & 37/132
54sqrt3. (divide the hexagon into 6 congruent equilateral triangles.
Relationship cannot be determined (what if x is negative?)
A = pi(r^2)

48. If 4500 is invested at a simple interest rate of 6% - what is the value of the investment after 10 months?
67 - 71 - 73
4725
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 greatest value minus the smallest.

49. 40 < all primes<50
Ø=P(E)=1
F(x + c)
Positive or Negative
41 - 43 - 47

50. How to determine percent decrease?
x²-y²
The direction of the inequality is reversed.
61 - 67
(amount of decrease/original price) x 100%