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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. Area of a rectangle
A = length x width
The set of input values for a function.
10! / 3!(10-3)! = 120
Arc length = (n/360) x pi(2r) where n is the number of degrees.

2. A number is divisible by 9 if...
1/x
The sum of digits is divisible by 9.
6
Its last two digits are divisible by 4.

3. What are complementary angles?
180°
An angle which is supplementary to an interior angle.
Undefined
Two angles whose sum is 90.

4. What is the name for a grouping of the members within a set based on a shared characteristic?
Expressing a number as the product of a decimal between 1 and 10 - and a power of 10.
A subset.
3x - 4x - 5x
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)

5. (6sqrt3) x (2sqrt5) =
Prime numbers (2 - 3 - 5 - 7 - 11 - 13 - 17 - 19 - 23)
(6 x 2)(sqrt3 x sqrt5) = 12sqrt15
D/t (distance)/(time)
C = (pi)d

6. a^2 - b^2
(a - b)(a + b)
(length)(width)(height)
Move the decimal point to the right x places
D/t (distance)/(time)

7. 3/8 in percent?
37.5%
Cross multiplication a/b=c/d 4/6=10/15 4(15)=6(10) 60=60
N! / (n-k)!
A chord is a line segment joining two points on a circle.

8. bn
V=side³
B?b?b (where b is used as a factor n times)
(n-2) x 180
Lies opposite the greater angle

9. 3 is the opposite of
12! / 5!7! = 792
y2-y1/x2-x1
3
288 (8 9 4)

10. Perfect Squares 1-15
360°
1 - 4 - 9 - 16 - 25 - 36 - 49 - 64 - 81 - 100 - 121 - 144 - 169 - 196 - 225
y = (x + 5)/2
V=Lwh

11. 1/Ø=null If a>b then
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.)
Prime numbers (2 - 3 - 5 - 7 - 11 - 13 - 17 - 19 - 23)
The sum of the digits is a multiple of 9.
A<-b

12. What is the measure of an exterior angle of a regular pentagon?
1/2 times 7/3
The steeper the slope.
Two angles whose sum is 180.
72

13. 1 is an
ODD number
Triangles with same measure and same side lengths.
The set of input values for a function.
11 - 13 - 17 - 19

14. 1:1:sqrt2 is the ratio of the sides of what kind of triangle?
An isosceles right triangle.
70
Ab-ac
The set of input values for a function.

15. What is an isoceles triangle?
D/t (distance)/(time)
All numbers which can be expressed as a ratio of two integers. (All integers and fractions.) (-2 - 1 - .25 - 1/2)
Two equal sides and two equal angles.
An expression with just one term (-6x - 2a^2)

16. 1/2 divided by 3/7 is the same as
Subtract them. i.e (5^7)/(5^3)= 5^4
1/2 times 7/3
1.7
3/2 - 5/3

17. Ø²
... the square of the ratios of the corresponding sides.
7 / 1000
1/x
Ø

18. The product of odd number of negative numbers
26
23 - 29
An infinite set.
Negative

19. If the 80th percentile of the measurements is 72degrees - about how many measurments are between 69 degrees and 72 degrees? Round your answer to the nearest tenth
26
18
The set of input values for a function.
The shortest arc between points A and B on a circle'S diameter.

20. To increase a number by x%
1/xn i.e. 5^-3 = 1/(5^3) = 1/ 125 = .008
90°
Yes - because you can factor out a perfect square (36). Sqrt(36 x 2) = sqrt36 X sqrt2 = 6sqrt2.
Multiply by 1+x% i.e. 100 x (1+50%)=100x1.5=150

21. Simplify 9^(1/2) X 4^3 X 2^(-6)?
3
x²-y²
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
Reciprocal

22. b¹
1
Ab=k (k is a constant)
3
$3 -500 in the 9% and $2 -500 in the 7%.

23. 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)
13pi / 2
3x - 4x - 5x
4.25 - 6 - 22
1.7

24. The consecutive angles in a parallelogram equal
Circumference = Diameter(pi). Use pythagorean theorem to find the diagonal of the square (the diameter).
4725
180°
Negative

25. 10<all primes<20
11 - 13 - 17 - 19
(a - b)^2
x²+2xy+y²
288 (8 9 4)

26. To decrease a number by x%
2
7 / 1000
Multiply by 1-x% i.e. 100 x (1-50%)=100x.5=50
Even prime number

27. What is the graph of f(x) shifted right c units or spaces?
F(x-c)
18
The overlapping sections.
The point of intersection of the systems.

28. What is it called when a point is reflected to the quadrant opposite it (i.e. I to III or II to IV)?
A central angle is an angle formed by 2 radii.
0
1
A reflection about the origin.

29. 1 is a divisor of
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...
Two equal sides and two equal angles.
Every number
(12/2) x (sqrt15 / sqrt5) = 6sqrt3

30. If y is directly proportional to x - what does it equal?
Edge³
x²-2xy+y²
y/x is a constant
500

31. What are 'Supplementary angles?'
An is positive
zero
Members or elements
Two angles whose sum is 180.

32. 1:sqrt3:2 is the ratio of the sides of what kind of triangle?
A=½bh
A 30-60-90 triangle.
72
A = length x width

33. 2 is the only
V=l×w×h
13
1:sqrt3:2
Even prime number

34. What is the graph of f(x) shifted downward c units or spaces?
(n-2) x 180
F(x) - c
D=rt so r= d/t and t=d/r
Parallelogram

35. 7/8 in percent?
angle that is greater than 90° but less than 180°
87.5%
8
Members or elements

36. Ø divided by 7
Ø
= (actual decrease/Original amount) x 100%
NOT A PRIME
Positive or Negative

37. Important properties of a 30-60-90 triangle?
(a - b)(a + b)
All real numbers which can'T be expressed as a ratio of two integers - positive and negative (pi - -sqrt3)
10! / (10-3)! = 720
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

38. Evaluate 3& 2/7 / 1/3
y = 2x^2 - 3
The empty set - denoted by a circle with a diagonal through it.
Negative
9 & 6/7

39. The only number that is equal to its opposite
52
Prime numbers (2 - 3 - 5 - 7 - 11 - 13 - 17 - 19 - 23)
Ø Ø=Ø
V=l×w×h

40. 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?
Two angles whose sum is 90.
3 - -3
441000 = 1 10 10 10 21 * 21
2^9 / 2 = 256

41. 6w^2 - w - 15 = 0
The interesection of A and B.
12.5%
130pi
3/2 - 5/3

42. Which is greater? 27^(-4) or 9^(-8)
7 / 1000
10! / (10-3)! = 720
27^(-4)
28. n = 8 - k = 2. n! / k!(n-k)!

43. Which is greater? 64^5 or 16^8
16^8 64^5 = (4^3)^5 = 4^15 16^8=(4^2)^8 = 4^16
180 degrees
Expressing a number as the product of a decimal between 1 and 10 - and a power of 10.
F(x) + c

44. Probability of E not occurring:
The steeper the slope.
54sqrt3. (divide the hexagon into 6 congruent equilateral triangles.
Ab+ac
1 - P(E)

45. A cylinder has surface area 22pi. If the cylinder has a height of 10 - what is its radius?
Positive
The interesection of A and B.
1
The last 2 digits are a multiple of 4. (i.e 144 .... 44 is a multiple of 4 - so 144 must also be a multiple of 4.)

46. 7 divided by Ø
Even
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...
An angle which is supplementary to an interior angle.
Null

47. Find the surface area of a cylinder with radius 3 and height 12.
(a - b)(a + b)
72
90pi
4725

48. Simplify the expression [(b^2 - c^2) / (b - c)]
P=2(l+w)
The set of elements which can be found in either A or B.
(b + c)
2sqrt6

49. 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)]?
13pi / 2
Members or elements
True
(a - b)^2

50. How to recognize a multiple of 6
Null
Sum of digits is a multiple of 3 and the last digit is even.
(x+y)(x-y)
Ø