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. Write 10 -843 X 10^7 in scientific notation
The set of input values for a function.
$3 -500 in the 9% and $2 -500 in the 7%.
1.0843 X 10^11
(12/2) x (sqrt15 / sqrt5) = 6sqrt3

2. If 8 schools are in a conference - how many games are played if each team plays each other exactly once?
x²+2xy+y²
16.6666%
Even prime number
28. n = 8 - k = 2. n! / k!(n-k)!

3. 10<all primes<20
13
360°
180 degrees
11 - 13 - 17 - 19

4. 0^0
0
Undefined
0
Members or elements

5. 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?
$3 -500 in the 9% and $2 -500 in the 7%.
1
10
Undefined - because we can'T divide by 0.

6. binomial product of (x+y)(x-y)
x²-y²
The point of intersection of the systems.
4.25 - 6 - 22
An arc is a portion of a circumference of a circle.

7. a^2 - b^2
Reciprocal
(a - b)(a + b)
(length)(width)(height)
The union of A and B.

8. 200 <_ x <_ 300. How many values of x are divisible by 5 & 8?
3
A chord is a line segment joining two points on a circle.
Its divisible by 2 and by 3.
The direction of the inequality is reversed.

9. Which is greater? 64^5 or 16^8
The overlapping sections.
The shortest arc between points A and B on a circle'S diameter.
16^8 64^5 = (4^3)^5 = 4^15 16^8=(4^2)^8 = 4^16
N! / (n-k)!

10. 5/6 in percent?
83.333%
13
Multiply by 1+x% i.e. 100 x (1+50%)=100x1.5=150
75:11

11. Formula to calculate arc length?
All numbers which can be expressed as a ratio of two integers. (All integers and fractions.) (-2 - 1 - .25 - 1/2)
Straight Angle
Positive
Arc length = (n/360) x pi(2r) where n is the number of degrees.

12. What transformation occurs if point C is reflected over the x-axis and then the y-axis?
A set with no members - denoted by a circle with a diagonal through it.
When we need to avoid having a zero in the denominator or avoid taking the square root of a number.
P= 2L + 2w
A reflection about the axis.

13. What is an arc of a circle?
An arc is a portion of a circumference of a circle.
360°
A<-b
Negative

14. What percent of 40 is 22?
55%
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
A = length x width
1 - 4 - 9 - 16 - 25 - 36 - 49 - 64 - 81 - 100 - 121 - 144 - 169 - 196 - 225

15. How many digits are there between the decimal point and the first even digit in the decimal equivalent of 1/[(2^8)(5^3)]
Ab=k (k is a constant)
A tangent is a line that only touches one point on the circumference of a circle.
A chord is a line segment joining two points on a circle.
0

16. What is the ratio of the sides of a 30-60-90 triangle?
Every number
1:sqrt3:2
2²
(a + b)^2

17. Solve the quadratic equation ax^2 + bx + c= 0
x = [(-b)+/- (sqrt b^2 - 4ac)]/2a
N! / (k!)(n-k)!
The empty set - denoted by a circle with a diagonal through it.
23 - 29

18. Describe the relationship between the graphs of x^2 and (1/2)x^2
A percent is a fraction whose denominator is 100.
130pi
54sqrt3. (divide the hexagon into 6 congruent equilateral triangles.
The second graph is less steep.

19. Perfect Squares 1-15
Its divisible by 2 and by 3.
Parallelogram
1 - 4 - 9 - 16 - 25 - 36 - 49 - 64 - 81 - 100 - 121 - 144 - 169 - 196 - 225
37.5%

20. Slope
A²+b²=c²
1.7
y2-y1/x2-x1
A = pi(r^2)

21. A number is divisible by 3 if ...
The sum of its digits is divisible by 3.
67 - 71 - 73
N! / (k!)(n-k)!
The longest arc between points A and B on a circle'S diameter.

22. What is the graph of f(x) shifted upward c units or spaces?
Its last two digits are divisible by 4.
16^8 64^5 = (4^3)^5 = 4^15 16^8=(4^2)^8 = 4^16
F(x) - c
F(x) + c

23. What is the side length of an equilateral triangle with altitude 6?
(rate)(time) d=rt
1:sqrt3:2
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...
180°

24. formula for volume of a rectangular solid
[(7+ sqrt93) /2] - [(7 - sqrt93) / 2]
62.5%
V=l×w×h
Undefined

25. Area of a circle
x²+2xy+y²
V=l×w×h
.0004809 X 10^11
A=pi*(r^2)

26. If 4500 is invested at a simple interest rate of 6% - what is the value of the investment after 10 months?
x(x - y + 1)
9
4:5
4725

27. Formula to find a circle'S circumference from its diameter?
180°
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
C = (pi)d
B?b?b (where b is used as a factor n times)

28. Reduce: 4.8 : 0.8 : 1.6
Relationship cannot be determined (what if x is negative?)
The point of intersection of the systems.
Ø
6 : 1 : 2

29. A prime number (or a prime)
Two angles whose sum is 90.
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.)
Can be negative - zero - or positive
A natural number greater than 1 that has no positive divisors other than 1 and itself

30. In a rectangle - all angles are
D/t (distance)/(time)
x²+2xy+y²
3 - -3
Right

31. Vertical lines
The sum of the digits is a multiple of 9.
Do not have slopes!
1/x
P(E) = ø

32. Rate
1.0843 X 10^11
27
D/t (distance)/(time)
Add them. i.e. (5^7) * (5^3) = 5^10

33. A cylinder has a surface area of 22pi. If the cylinder has a height of 10 - what is the radius?
1
Do not have slopes!
18
C = (pi)d

34. If Madagascar'S exports totaled 1.3 billion in 2009 - and 4% came from China - what was the value in millions of the country'S exports to China?
Ø
an angle that is less than 90°
Straight Angle
52

35. Legs 6 - 8. Hypotenuse?
360°
70
An infinite set.
10

36. 1/6 in percent?
(a - b)(a + b)
16.6666%
Every number
130pi

37. What are the smallest three prime numbers greater than 65?
1 & 37/132
67 - 71 - 73
180 degrees
Two equal sides and two equal angles.

38. Circumference of a Circle
C=2 x pi x r OR pi x D
A reflection about the origin.
Its divisible by 2 and by 3.
(x+y)(x+y)

39. (a^-1)/a^5
1/a^6
(a + b)^2
(6 x 2)(sqrt3 x sqrt5) = 12sqrt15
3 - -3

40. The sum of the angles in a quadrilateral is
1/a^6
360°
The set of input values for a function.
x^(2(4)) =x^8 = (x^4)^2

41. Number of degrees in a triangle
An infinite set.
48
71 - 73 - 79
180

42. 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?
13pi / 2
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
N! / (n-k)!
Null

43. Ø Is neither
An angle which is supplementary to an interior angle.
1 - P(E)
P= 2L + 2w
Positive or Negative

44. How to recognize if a # is a multiple of 12
N! / (k!)(n-k)!
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.)
D=rt so r= d/t and t=d/r
Edge³

45. (x-y)²
F(x + c)
x²-2xy+y²
x^(2(4)) =x^8 = (x^4)^2
Multiply by 1+x% i.e. 100 x (1+50%)=100x1.5=150

46. 40 < all primes<50
(distance)/(rate) d/r
11 - 13 - 17 - 19
41 - 43 - 47
A percent is a fraction whose denominator is 100.

47. a/Ø
V=Lwh
Null
A central angle is an angle formed by 2 radii.
P(E) = 1/1 = 1

48. (x+y)²
180
Factors are few - multiples are many.
C = (pi)d
x²+2xy+y²

49. The sum of all angles around a point
Negative
360°
1/a^6
4:5

50. Dividing by a number is the same as multiplying it by its
No - only like radicals can be added.
Parallelogram
1
Reciprocal