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. When dividing exponential #s with the same base - you do this to the exponents...
(a - b)(a + b)
Subtract them. i.e (5^7)/(5^3)= 5^4
$11 -448
D/t (distance)/(time)

2. What is a central angle?
A central angle is an angle formed by 2 radii.
0
(a + b)^2
3x - 4x - 5x

3. The sum of the angles in a quadrilateral is
360°
When we need to avoid having a zero in the denominator or avoid taking the square root of a number.
Ø
Move the decimal point to the right x places

4. Probability of E not occurring:
Relationship cannot be determined (what if x is negative?)
Ø
1 - P(E)
Reciprocal

5. Perimeter of a rectangle
1
The set of input values for a function.
P= 2L + 2w
$11 -448

6. For any number x
16.6666%
61 - 67
A = pi(r^2)
Can be negative - zero - or positive

7. What is a tangent?
A multiple of every integer
A tangent is a line that only touches one point on the circumference of a circle.
2 & 3/7
P=2(l+w)

8. 8.84 / 5.2
71 - 73 - 79
1
The overlapping sections.
1.7

9. What are the rational numbers?
The overlapping sections.
All numbers which can be expressed as a ratio of two integers. (All integers and fractions.) (-2 - 1 - .25 - 1/2)
441000 = 1 10 10 10 21 * 21
1 & 37/132

10. Probability of Event all cases
10! / 3!(10-3)! = 120
10! / (10-3)! = 720
Ø=P(E)=1
37.5%

11. x^6 / x^3
12.5%
C = (pi)d
x²-y²
x^(6-3) = x^3

12. How many multiples does a given number have?
An is positive
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.
Infinite.
Can be negative - zero - or positive

13. How to recognize a # as a multiple of 3
72
ODD number
0
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)

14. 1 is an
27^(-4)
ODD number
All numbers multiples of 1.
The steeper the slope.

15. If r - t - s & u are distinct - consecutive prime numbers - less than 31 - which of the following could be an average of them (4 - 4.25 - 6 - 9 - 24 - 22 - 24)
Arc length = (n/360) x pi(2r) where n is the number of degrees.
(12/2) x (sqrt15 / sqrt5) = 6sqrt3
Cross multiplication a/b=c/d 4/6=10/15 4(15)=6(10) 60=60
4.25 - 6 - 22

16. How to recognize a # as a multiple of 9
Ab=k (k is a constant)
The sum of the digits is a multiple of 9.
x - x(SR3) - 2x
Ø=P(E)=1

17. What is a percent?
The empty set - denoted by a circle with a diagonal through it.
A percent is a fraction whose denominator is 100.
(rate)(time) d=rt
3x - 4x - 5x

18. formula for volume of a rectangular solid
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)
Parallelogram
5
V=l×w×h

19. To decrease a number by x%
3 - -3
Multiply by 1-x% i.e. 100 x (1-50%)=100x.5=50
83.333%
Every number

20. the measure of a straight angle
1:sqrt3:2
180°
(6 x 2)(sqrt3 x sqrt5) = 12sqrt15
[(7+ sqrt93) /2] - [(7 - sqrt93) / 2]

21. For similar triangles - the ratio of their corresponding sides is 2:3. What is the ratio of their areas?
4:9. The ratio of the areas of two similar triangles equals the square of the ratio of the corresponding sides.
Indeterminable.
Straight Angle
31 - 37

22. 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)]?
Two angles whose sum is 90.
12! / 5!7! = 792
Yes - like radicals can be added/subtracted.
True

23. (a^-1)/a^5
Its divisible by 2 and by 3.
1/a^6
x - x+1 - x+2
V=side³

24. 7 divided by Ø
Even
Null
C = (pi)d
Even prime number

25. To multiply a number by 10^x
Cross multiplication a/b=c/d 4/6=10/15 4(15)=6(10) 60=60
Do not have slopes!
The point of intersection of the systems.
Move the decimal point to the right x places

26. formula for area of a triangle
9
A=½bh
53 - 59
D/t (distance)/(time)

27. 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?
A 30-60-90 triangle.
All real numbers which can'T be expressed as a ratio of two integers - positive and negative (pi - -sqrt3)
48
Triangles with same measure and same side lengths.

28. The Perimeter of a rectangle
The greatest value minus the smallest.
Circumference = Diameter(pi). Use pythagorean theorem to find the diagonal of the square (the diameter).
11 - 13 - 17 - 19
P=2(l+w)

29. Slope of any line that goes down as you move from left to right is
ODD number
Even
1
Negative

30. What percent of 40 is 22?
Ab=k (k is a constant)
All numbers which can be expressed as a ratio of two integers. (All integers and fractions.) (-2 - 1 - .25 - 1/2)
55%
1

31. 50 < all primes< 60
12! / 5!7! = 792
53 - 59
1
9 : 25

32. The reciprocal of any non-zero number is
1/x
Two angles whose sum is 180.
The sum of its digits is divisible by 3.
Do not have slopes!

33. What is the set of elements which can be found in either A or B?
y/x is a constant
The union of A and B.
A=½bh
441000 = 1 10 10 10 21 * 21

34. What is the slope of a horizontal line?
0
4.25 - 6 - 22
9 & 6/7
The graph of 3(x - 1)^2 is a translation (shift) of the graph one unit or space to the right.

35. formula for distance problems
Distance=rate×time or d=rt
Sum of digits is a multiple of 3 and the last digit is even.
(amount of decrease/original price) x 100%
Pi is the ratio of a circle'S circumference to its diameter.

36. Pi is a ratio of what to what?

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

37. How many 3-digit positive integers are even and do not contain the digit 4?
A=(base)(height)
Negative
288 (8 9 4)
1

38. Legs 5 - 12. Hypotenuse?
6
P=4s (s=side)
V=Lwh
13

39. What is the sum of the angles of a triangle?
180 degrees
(2x7)³
1:sqrt3:2
y = (x + 5)/2

40. In a Rectangle - each angles measures
2²
90°
x²-2xy+y²
.0004809 X 10^11

41. The objects in a set are called two names:
1/x
Members or elements
Even prime number
180 degrees

42. Number of degrees in a triangle
Even
180
Members or elements
Triangles with same measure and same side lengths.

43. What is the graph of f(x) shifted left c units or spaces?
Prime numbers (2 - 3 - 5 - 7 - 11 - 13 - 17 - 19 - 23)
F(x + c)
Smallest positive integer
F(x) - c

44. (6sqrt3) x (2sqrt5) =
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...
A central angle is an angle formed by 2 radii.
(6 x 2)(sqrt3 x sqrt5) = 12sqrt15
Pi(diameter)

45. The Perimeter of a Square
The overlapping sections.
A-b is negative
P=4s (s=side)
A= (1/2) b*h

46. (x-y)²
(2x7)³
M
x²-2xy+y²
angle that is greater than 90° but less than 180°

47. What is the area of a regular hexagon with side 6?
180 degrees
Even prime number
54sqrt3. (divide the hexagon into 6 congruent equilateral triangles.
5 - 12 - 13

48. (x^2)^4
x^(2(4)) =x^8 = (x^4)^2
Diameter(Pi)
Straight Angle
The second graph is less steep.

49. Consecutive integers
A-b is positive
Arc length = (n/360) x pi(2r) where n is the number of degrees.
Two equal sides and two equal angles.
x - x+1 - x+2

50. For what values should the domain be restricted for the function f(x) = sqrt(x + 8)
1/2 times 7/3
5 OR -5
8
The greatest value minus the smallest.