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. Perfect Squares 1-15
26
4725
3
1 - 4 - 9 - 16 - 25 - 36 - 49 - 64 - 81 - 100 - 121 - 144 - 169 - 196 - 225

2. 1 is a divisor of
(rate)(time) d=rt
Every number
Ø=P(E)=1
Ø

3. (a^-1)/a^5
1/a^6
... the square of the ratios of the corresponding sides.
Every number
= (actual decrease/Original amount) x 100%

4. If a product of two numbers is Ø - one number must be
(6 x 2)(sqrt3 x sqrt5) = 12sqrt15
2sqrt6
Ø
(distance)/(rate) d/r

5. What is the ratio of the sides of a 30-60-90 triangle?
4.25 - 6 - 22
Diameter(Pi)
(6 x 2)(sqrt3 x sqrt5) = 12sqrt15
1:sqrt3:2

6. 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?
F(x-c)
The shortest arc between points A and B on a circle'S diameter.
The set of elements found in both A and B.
N! / (k!)(n-k)!

7. 50 < all primes< 60
Expressing a number as the product of a decimal between 1 and 10 - and a power of 10.
(pi)r²
53 - 59
A+c<b+c

8. Which is greater? 200x^295 or 10x^294?
7 / 1000
The set of output values for a function.
5 OR -5
Relationship cannot be determined (what if x is negative?)

9. Find distance when given time and rate
X
1
Its divisible by 2 and by 3.
D=rt so r= d/t and t=d/r

10. Area of a circle
C = 2(pi)r
(pi)r²
Cross multiplication a/b=c/d 4/6=10/15 4(15)=6(10) 60=60
A grouping of the members within a set based on a shared characteristic.

11. 1/Ø=null If a>b then
A<-b
Sum of digits is a multiple of 3 and the last digit is even.
= (actual decrease/Original amount) x100% = 20/100x100% = 20%
61 - 67

12. What is a finite set?
A set with a number of elements which can be counted.
1
4:9. The ratio of the areas of two similar triangles equals the square of the ratio of the corresponding sides.
The point of intersection of the systems.

13. What is a central angle?
A central angle is an angle formed by 2 radii.
3/2 - 5/3
The two xes after factoring.
10! / 3!(10-3)! = 120

14. A brick with dimensions 10. 15 and 25 weighs 1.5 kg. A second brick (same density) has dimensions 12 - 18 - and 30. What is the weight of the second brick?
A multiple of every integer
2.592 kg
The set of elements which can be found in either A or B.
(b + c)

15. What is the graph of f(x) shifted upward c units or spaces?
F(x) + c
The set of elements found in both A and B.
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.)
Members or elements

16. Pythagorean theorem
Lies opposite the greater angle
x²-2xy+y²
A²+b²=c²
D/t (distance)/(time)

17. Legs 5 - 12. Hypotenuse?
A grouping of the members within a set based on a shared characteristic.
13
Even
27

18. To increase a number by x%
Multiply by 1+x% i.e. 100 x (1+50%)=100x1.5=150
All the numbers on the number line (negative - rational - irrational - decimal - integer). All the numbers on the GRE are real. (-2 - 1 - .25 - 1/2 - pi)
83.333%
70

19. What is a minor arc?

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

20. Area of a circle
1
.0004809 X 10^11
A=pi*(r^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)

21. What is a percent?
90
Reciprocal
F(x) + c
A percent is a fraction whose denominator is 100.

22. The consecutive angles in a parallelogram equal
True
x²+2xy+y²
Sum of digits is a multiple of 3 and the last digit is even.
180°

23. In a Rectangle - each angles measures
Straight Angle
90°
Yes - like radicals can be added/subtracted.
(a + b)^2

24. What transformation occurs if point C is reflected over the x-axis and then the y-axis?
No - only like radicals can be added.
Subtract them. i.e (5^7)/(5^3)= 5^4
2
A reflection about the axis.

25. 2³×7³
(2x7)³
72
360°
ODD number

26. Formula to find a circle'S circumference from its radius?
Even
1
C = 2(pi)r
5 OR -5

27. Volume of a rectangular box
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
500
7 / 1000
V=Lwh

28. What is the slope of a horizontal line?
90°
... the square of the ratios of the corresponding sides.
0
A = length x width

29. The objects in a set are called two names:
2
ODD number
Members or elements
The empty set - denoted by a circle with a diagonal through it.

30. Volume of a rectangular solid
A tangent is a line that only touches one point on the circumference of a circle.
(length)(width)(height)
A grouping of the members within a set based on a shared characteristic.
360°

31. Can you subtract 3sqrt4 from sqrt4?
x²-2xy+y²
y/x is a constant
5 - 12 - 13
Yes - like radicals can be added/subtracted.

32. Evaluate (4^3)^2
3
x(x - y + 1)
Ø=P(E)=1
4096

33. Ø is a multiple of
Parallelogram
Every number
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.)
Pi is the ratio of a circle'S circumference to its diameter.

34. A cylinder has a surface area of 22pi. If the cylinder has a height of 10 - what is the radius?
x(x - y + 1)
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
ODD number

35. 2 is the only
[(7+ sqrt93) /2] - [(7 - sqrt93) / 2]
Even prime number
An arc is a portion of a circumference of a circle.
(base*height) / 2

36. The larger the absolute value of the slope...
(rate)(time) d=rt
The steeper the slope.
2.592 kg
4:9. The ratio of the areas of two similar triangles equals the square of the ratio of the corresponding sides.

37. 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

38. If the two sides of a triangle are unequal then the longer side.................
Can be negative - zero - or positive
Lies opposite the greater angle
PEMDAS (Parentheses Exponents Multiplication/Division Addition/Subtraction)
ODD number

39. Factor a^2 + 2ab + b^2
(a + b)^2
x(x - y + 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.)
Undefined

40. Ø is a multiple of
F(x) - c
Two (Ø×2=Ø)
Ab+ac
(6 x 2)(sqrt3 x sqrt5) = 12sqrt15

41. formula for volume of a rectangular solid
B?b?b (where b is used as a factor n times)
C = 2(pi)r
6
V=l×w×h

42. a(b+c)
20.5
Lies opposite the greater angle
Ab+ac
A set with no members - denoted by a circle with a diagonal through it.

43. If you have a set of n objects - but you only want to order k of them - what formula do you use to determine the number of permutations?
Indeterminable.
Add them. i.e. (5^7) * (5^3) = 5^10
N! / (n-k)!
0

44. Define a 'monomial'
An expression with just one term (-6x - 2a^2)
3x - 4x - 5x
Members or elements
Smallest positive integer

45. What is the measure of an exterior angle of a regular pentagon?
B?b?b (where b is used as a factor n times)
an angle that is less than 90°
Even prime number
72

46. Ø is
Even
13
V=Lwh
75:11

47. In similar hexagons - the ratio of the areas is 16:25. What is the ratio of their corresponding sides?
1.7
C = (pi)d
6
4:5

48. What is the graph of f(x) shifted right c units or spaces?
(a + b)^2
A central angle is an angle formed by 2 radii.
An arc is a portion of a circumference of a circle.
F(x-c)

49. What is the set of elements which can be found in either A or B?
(a + b)^2
The union of A and B.
zero
An angle which is supplementary to an interior angle.

50. How many sides does a hexagon have?
The longest arc between points A and B on a circle'S diameter.
6
8
A 30-60-90 triangle.