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. (a^-1)/a^5
441000 = 1 10 10 10 21 * 21
A<-b
28
1/a^6

2. Simplify the expression [(b^2 - c^2) / (b - c)]
(b + c)
(distance)/(rate) d/r
No - only like radicals can be added.
1

3. a>b then a - b is positive or negative?
An infinite set.
A reflection about the axis.
N! / (k!)(n-k)!
A-b is positive

4. Describe the relationship between 3x^2 and 3(x - 1)^2
The second graph is less steep.
A set with a number of elements which can be counted.
The graph of 3(x - 1)^2 is a translation (shift) of the graph one unit or space to the right.
A+c<b+c

5. 2 is the only
Undefined - because we can'T divide by 0.
Even prime number
41 - 43 - 47
P(E) = number of favorable outcomes/total number of possible outcomes

6. What is the graph of f(x) shifted downward c units or spaces?
Null
F(x) - c
1/x
71 - 73 - 79

7. What is the common monomial factor in the expression 4(c^3)d - (c^2)(d^2) + 2cd?
Ø
(x+y)(x+y)
55%
Cd

8. What is a central angle?
P=4s (s=side)
D/t (distance)/(time)
A central angle is an angle formed by 2 radii.
71 - 73 - 79

9. Area of a circle
P=2(l+w)
x^(2(4)) =x^8 = (x^4)^2
A natural number greater than 1 that has no positive divisors other than 1 and itself
A=pi*(r^2)

10. Slope given 2 points
M= (Y1-Y2)/(X1-X2)
1
V=Lwh
Its divisible by 2 and by 3.

11. From a box of 12 candles - you are to remove 5. How many different sets of 5 candles could you remove?
Pi(diameter)
The objects within a set.
Parallelogram
12! / 5!7! = 792

12. 1n
C = (pi)d
1
A=(base)(height)
Can be negative - zero - or positive

13. 30 60 90
When we need to avoid having a zero in the denominator or avoid taking the square root of a number.
(a - b)^2
3x - 4x - 5x
The greatest value minus the smallest.

14. Area of a Parallelogram:
A=(base)(height)
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
[(7+ sqrt93) /2] - [(7 - sqrt93) / 2]

15. 30< all primes<40
31 - 37
y = 2x^2 - 3
90
4725

16. X is the opposite of
X
The sum of digits is divisible by 9.
F(x) + c
A multiple of every integer

17. What is the sum of the angles of a triangle?
180 degrees
16^8 64^5 = (4^3)^5 = 4^15 16^8=(4^2)^8 = 4^16
4.25 - 6 - 22
27

18. formula for area of a triangle
A=½bh
(x+y)(x+y)
Do not have slopes!
The shortest arc between points A and B on a circle'S diameter.

19. Pythagorean theorem
The point of intersection of the systems.
23 - 29
Move the decimal point to the right x places
A²+b²=c²

20. If y is directly proportional to x - what does it equal?
360/n
y/x is a constant
= (actual decrease/Original amount) x100% = 20/100x100% = 20%
31 - 37

21. a(b+c)
180°
Ab+ac
54sqrt3. (divide the hexagon into 6 congruent equilateral triangles.
Ab-ac

22. 1 is an
ODD number
48
28. n = 8 - k = 2. n! / k!(n-k)!
Pi(diameter)

23. First 10 prime #s
Lies opposite the greater angle
Members or elements
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.
2 - 3 - 5 - 7 - 11 - 13 - 17 - 19 - 23 - 29

24. 1 is a divisor of
Infinite.
Every number
= (actual decrease/Original amount) x 100%
12.5%

25. 25/2³
37.5%
18
2²
31 - 37

26. What percent of 40 is 22?
360/n
55%
Even prime number
The sum of the digits is a multiple of 9.

27. What is a percent?
(length)(width)(height)
27
A percent is a fraction whose denominator is 100.
N! / (n-k)!

28. Describe the relationship between the graphs of x^2 and (1/2)x^2
(pi)r²
Can be negative - zero - or positive
The second graph is less steep.
Expressing a number as the product of a decimal between 1 and 10 - and a power of 10.

29. How many sides does a hexagon have?
A=pi*(r^2)
6
4.25 - 6 - 22
Relationship cannot be determined (what if x is negative?)

30. 3 is the opposite of
3
Ab=k (k is a constant)
441000 = 1 10 10 10 21 * 21
x^(6-3) = x^3

31. Ø divided by 7
Even
Even
Ø
Arc length = (n/360) x pi(2r) where n is the number of degrees.

32. Ø is a multiple of
Every number
3/2 - 5/3
A-b is positive
12sqrt2

33. A number is divisible by 6 if...
A 30-60-90 triangle.
Its divisible by 2 and by 3.
3
4.25 - 6 - 22

34. Whats the difference between factors and multiples?
$3 -500 in the 9% and $2 -500 in the 7%.
Factors are few - multiples are many.
62.5%
12sqrt2

35. Slope of any line that goes up from left to right
1:sqrt3:2
1/a^6
Positive
F(x) - c

36. How many digits are there between the decimal point and the first even digit in the decimal equivalent of 1/[(2^8)(5^3)]
The union of A and B.
62.5%
0
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)

37. The percent decrease of a quantity
NOT A PRIME
9
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)
= (actual decrease/Original amount) x 100%

38. What are 'Supplementary angles?'
(b + c)
Two angles whose sum is 180.
Sector area = (n/360) X (pi)r^2
Two equal sides and two equal angles.

39. What are the roots of the quadrinomial x^2 + 2x + 1?
The two xes after factoring.
P= 2L + 2w
Every number
Ab=k (k is a constant)

40. 40 < all primes<50
41 - 43 - 47
x²+2xy+y²
(x+y)(x+y)
B?b?b (where b is used as a factor n times)

41. A cylinder has surface area 22pi. If the cylinder has a height of 10 - what is its radius?
P(E) = 1/1 = 1
180°
1
1/x

42. Find the surface area of a cylinder with radius 3 and height 12.
2.592 kg
Two angles whose sum is 90.
90pi
(b + c)

43. Formula for the area of a sector of a circle?
1
Ø
EVEN
Sector area = (n/360) X (pi)r^2

44. 30 60 90
130pi
5 - 12 - 13
72
0

45. When multiplying exponential #s with the same base - you do this to the exponents...
D/t (distance)/(time)
Lies opposite the greater angle
180°
Add them. i.e. (5^7) * (5^3) = 5^10

46. If 10800 is invested at a simple interest rate of 4% - what is the value of the investment after 18 months?
$11 -448
1 & 37/132
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%

47. 25+2³
x(x - y + 1)
Do not have slopes!
28
Ø

48. What is the maximum value for the function g(x) = (-2x^2) -1?
1
The two xes after factoring.
3
The objects within a set.

49. Legs 6 - 8. Hypotenuse?
10
A= (1/2) b*h
130pi
The interesection of A and B.

50. Product of any number and Ø is
Ø
B?b?b (where b is used as a factor n times)
6 : 1 : 2
X