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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. Legs 5 - 12. Hypotenuse?
71 - 73 - 79
13
Even prime number
An arc is a portion of a circumference of a circle.

2. 1 is the
x^(6-3) = x^3
F(x) - c
Smallest positive integer
1 - P(E)

3. a/Ø
10
An is positive
[(7+ sqrt93) /2] - [(7 - sqrt93) / 2]
Null

4. 2³×7³
(2x7)³
C=2 x pi x r OR pi x D
P= 2L + 2w
The sum of the digits is a multiple of 9.

5. Time
27
(distance)/(rate) d/r
A = length x width
x(x - y + 1)

6. Evaluate and write as a mixed number: 2/7 - 3/21 + 2 & 4/14
2 & 3/7
C = (pi)d
288 (8 9 4)
A grouping of the members within a set based on a shared characteristic.

7. For any number x
Can be negative - zero - or positive
A reflection about the origin.
3x - 4x - 5x
1/x

8. One is (a prime or not?)
6
28. n = 8 - k = 2. n! / k!(n-k)!
2
NOT A PRIME

9. 25/2³
A set with no members - denoted by a circle with a diagonal through it.
360°
(6 x 2)(sqrt3 x sqrt5) = 12sqrt15
2²

10. -3³
27
B?b?b (where b is used as a factor n times)
Do not have slopes!
An is positive

11. When dividing exponential #s with the same base - you do this to the exponents...
Subtract them. i.e (5^7)/(5^3)= 5^4
EVEN
67 - 71 - 73
(p + q)/5

12. 1/2 divided by 3/7 is the same as
1/x
4.25 - 6 - 22
3 - -3
1/2 times 7/3

13. What is a tangent?
(a - b)(a + b)
Negative
A tangent is a line that only touches one point on the circumference of a circle.
Diameter(Pi)

14. How to recognize a multiple of 6
Sum of digits is a multiple of 3 and the last digit is even.
10! / (10-3)! = 720
$3 -500 in the 9% and $2 -500 in the 7%.
A multiple of every integer

15. Can you subtract 3sqrt4 from sqrt4?
1.0843 X 10^11
No - only like radicals can be added.
C = 2(pi)r
Yes - like radicals can be added/subtracted.

16. x^4 + x^7 =
1/x
4a^2(b)
x²-y²
x^(4+7) = x^11

17. Pythagorean theorem
A+c<b+c
A²+b²=c²
2
Infinite.

18. 7 divided by Ø
Null
90
An expression with just one term (-6x - 2a^2)
x - x(SR3) - 2x

19. The sum of the angles in a quadrilateral is
360°
A = length x width
Ø
6

20. If a is positive - an is
Positive
A=(base)(height)
27^(-4)
500

21. 1:1:sqrt2 is the ratio of the sides of what kind of triangle?
angle that is greater than 90° but less than 180°
Reciprocal
An isosceles right triangle.
P(E) = 1/1 = 1

22. A cylinder has surface area 22pi. If the cylinder has a height of 10 - what is its radius?
360°
180 degrees
2sqrt6
1

23. A company places a 6-symbol code on each product. The code consists of the letter T - followed by 3 numerical digits - and then 2 consonants (Y is a conson). How many codes are possible?
angle that is greater than 90° but less than 180°
(2x7)³
441000 = 1 10 10 10 21 * 21
The set of input values for a function.

24. What is the surface area of a cylinder with radius 5 and height 8?
A set with a number of elements which can be counted.
N! / (n-k)!
130pi
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)

25. What is the 'union' of A and B?
Edge³
Cross multiplication a/b=c/d 4/6=10/15 4(15)=6(10) 60=60
The set of elements which can be found in either A or B.
360°

26. Important properties of a 30-60-90 triangle?
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
20.5
75:11
Even

27. formula for the volume of a cube
5
When we need to avoid having a zero in the denominator or avoid taking the square root of a number.
V=side³
Ø

28. What is the maximum value for the function g(x) = (-2x^2) -1?
(a - b)(a + b)
1
P(E) = 1/1 = 1
Multiply by 1-x% i.e. 100 x (1-50%)=100x.5=50

29. What is the 'Range' of a function?
Do not have slopes!
angle that is greater than 90° but less than 180°
Triangles with same measure and same side lengths.
The set of output values for a function.

30. Can you add sqrt 3 and sqrt 5?
500
16.6666%
No - only like radicals can be added.
288 (8 9 4)

31. What is the slope of a vertical line?

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32. What is the 'domain' of a function?
(a - b)(a + b)
Distance=rate×time or d=rt
180 degrees
The set of input values for a function.

33. Volume of a rectangular solid
angle that is greater than 90° but less than 180°
The objects within a set.
4a^2(b)
(length)(width)(height)

34. (x-y)(x+y)
x²-y²
23 - 29
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)
48

35. What is the area of a regular hexagon with side 6?
54sqrt3. (divide the hexagon into 6 congruent equilateral triangles.
1 & 37/132
87.5%
C = 2(pi)r

36. Formula for the area of a sector of a circle?
1.7
Sector area = (n/360) X (pi)r^2
Two angles whose sum is 180.
A reflection about the axis.

37. Number of degrees in a triangle
Ø=P(E)=1
x²+2xy+y²
x^(4+7) = x^11
180

38. Distance
The shortest arc between points A and B on a circle'S diameter.
3
ODD number
(rate)(time) d=rt

39. 8.84 / 5.2
(a + b)^2
1.7
x²-2xy+y²
6

40. How many digits are there between the decimal point and the first even digit in the decimal equivalent of 1/[(2^8)(5^3)]
360/n
0
3
(distance)/(rate) d/r

41. 200 <_ x <_ 300. How many values of x are divisible by 5 & 8?
16.6666%
3
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)
2.592 kg

42. -3²
9
26
Positive or Negative
A reflection about the axis.

43. Dividing by a number is the same as multiplying it by its
Reciprocal
52
26
A-b is negative

44. 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?
Positive
Pi(diameter)
N! / (k!)(n-k)!
5 OR -5

45. What is the ratio of the surface area of a cube with an edge of 10 to the surface area of a rectangular solid with dimensions 2 - 4 - and 6?
(pi)r²
75:11
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
P(E) = 1/1 = 1

46. What is a central angle?
Add them. i.e. (5^7) * (5^3) = 5^10
1:sqrt3:2
Ø
A central angle is an angle formed by 2 radii.

47. For what values should the domain be restricted for the function f(x) = sqrt(x + 8)
31 - 37
8
angle that is greater than 90° but less than 180°
The graph of 3(x - 1)^2 is a translation (shift) of the graph one unit or space to the right.

48. What are the real numbers?
Positive
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)
41 - 43 - 47
5 OR -5

49. In a rectangle - all angles are
1 - 4 - 9 - 16 - 25 - 36 - 49 - 64 - 81 - 100 - 121 - 144 - 169 - 196 - 225
zero
Right
= 25%. = (actual increase/original amount) x 100% = 20/80 x 100% = 1/4 x 100% = 25%

50. A quadrilateral where two diagonals bisect each other
Parallelogram
1 - 4 - 9 - 16 - 25 - 36 - 49 - 64 - 81 - 100 - 121 - 144 - 169 - 196 - 225
EVEN
10! / (10-3)! = 720