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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. factored binomial product of (x+y)²
10! / (10-3)! = 720
x²+2xy+y²
Positive
0

2. How many multiples does a given number have?
72
71 - 73 - 79
Infinite.
1

3. 3 is the opposite of
9 & 6/7
3
41 - 43 - 47
1/a^6

4. If a lamp decreases to $80 - from $100 - what is the decrease in price?
360°
B?b?b (where b is used as a factor n times)
= (actual decrease/Original amount) x100% = 20/100x100% = 20%
Null

5. The reciprocal of any non-zero #x is
y2-y1/x2-x1
20.5
P(E) = 1/1 = 1
1/x

6. bn
P= 2L + 2w
B?b?b (where b is used as a factor n times)
x²-y²
12sqrt2

7. 30< all primes<40
A subset.
31 - 37
72
V=l×w×h

8. Circumference of a circle
x - x+1 - x+2
27
Ø
2(pi)r

9. Employee X is paid 19.50 per hour no matter how many a week. Employee Y earns 18 for the first 40 and 1.5 the hourly wage for every hour after that. If both earned the same amount and worked the same in one week - how many did each work?
1
37.5%
72
48

10. What is an arc of a circle?
$11 -448
An arc is a portion of a circumference of a circle.
M
F(x) - c

11. What is the 'domain' of a function?
9 : 25
2^9 / 2 = 256
The set of input values for a function.
(rate)(time) d=rt

12. 1/2 divided by 3/7 is the same as
130pi
1/2 times 7/3
C=2 x pi x r OR pi x D
26

13. Ø is a multiple of
(6 x 2)(sqrt3 x sqrt5) = 12sqrt15
27
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...
Every number

14. 5/6 in percent?
A = pi(r^2)
26
Undefined - because we can'T divide by 0.
83.333%

15. There are 10 finalists for the school spelling bee. A first - second - and third place trophy will be awarded. In how many ways can the judges award the 3 prizes?
10! / (10-3)! = 720
4:9. The ratio of the areas of two similar triangles equals the square of the ratio of the corresponding sides.
Ab=k (k is a constant)
True

16. What is the 'Solution' for a set of inequalities.
The direction of the inequality is reversed.
V=l×w×h
23 - 29
The overlapping sections.

17. Define a 'Term' -
62.5%
4725
A = length x width
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)

18. Pi is a ratio of what to what?

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19. 25+2³
A set with a number of elements which can be counted.
(b + c)
A = length x width
28

20. When does a function automatically have a restricted domain (2)?
4a^2(b)
5 OR -5
When we need to avoid having a zero in the denominator or avoid taking the square root of a number.
1 - 4 - 9 - 16 - 25 - 36 - 49 - 64 - 81 - 100 - 121 - 144 - 169 - 196 - 225

21. (x-y)²
x²-2xy+y²
x²-y²
All numbers which can be expressed as a ratio of two integers. (All integers and fractions.) (-2 - 1 - .25 - 1/2)
67 - 71 - 73

22. Pythagorean theorem
23 - 29
A²+b²=c²
Cross multiplication a/b=c/d 4/6=10/15 4(15)=6(10) 60=60
180°

23. The important properties of a 45-45-90 triangle?
Undefined
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.
Ø
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.)

24. -3³
(b + c)
1
27
75:11

25. A cylinder has a surface area of 22pi. If the cylinder has a height of 10 - what is the radius?
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
The empty set - denoted by a circle with a diagonal through it.
1
Infinite.

26. binomial product of (x+y)(x-y)
Factors are few - multiples are many.
x²-y²
x - x+1 - x+2
52

27. What is it called when a point is reflected to the quadrant opposite it (i.e. I to III or II to IV)?
A reflection about the origin.
4a^2(b)
True
(12/2) x (sqrt15 / sqrt5) = 6sqrt3

28. 70 < all primes< 80
5
71 - 73 - 79
= (actual decrease/Original amount) x 100%
Ø

29. 1 is an
ODD number
288 (8 9 4)
48
62.5%

30. binomial product of (x+y)²
A-b is positive
27^(-4)
(x+y)(x+y)
(p + q)/5

31. 30 60 90
x - x(SR3) - 2x
72
1/x
(x+y)(x+y)

32. 2³×7³
1 & 37/132
(2x7)³
y/x is a constant
A=(base)(height)

33. What are complementary angles?
Null
1 - 4 - 9 - 16 - 25 - 36 - 49 - 64 - 81 - 100 - 121 - 144 - 169 - 196 - 225
Two angles whose sum is 90.
27^(-4)

34. Distance
M
18
(rate)(time) d=rt
1/xn i.e. 5^-3 = 1/(5^3) = 1/ 125 = .008

35. Which is greater? 27^(-4) or 9^(-8)
10! / (10-3)! = 720
27^(-4)
Reciprocal
70

36. 5x^2 - 35x -55 = 0
16.6666%
4096
[(7+ sqrt93) /2] - [(7 - sqrt93) / 2]
5

37. Find distance when given time and rate
Factors are few - multiples are many.
An expression with just one term (-6x - 2a^2)
D=rt so r= d/t and t=d/r
41 - 43 - 47

38. The product of odd number of negative numbers
Negative
The objects within a set.
Two angles whose sum is 180.
62.5%

39. A quadrilateral where two diagonals bisect each other
The sum of the digits is a multiple of 9.
Undefined
4096
Parallelogram

40. Time
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...
(distance)/(rate) d/r
Triangles with same measure and same side lengths.
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)

41. What is the 'union' of A and B?
Do not have slopes!
The set of elements which can be found in either A or B.
y2-y1/x2-x1
A tangent is a line that only touches one point on the circumference of a circle.

42. 50 < all primes< 60
x²+2xy+y²
An arc is a portion of a circumference of a circle.
53 - 59
28

43. How to recognize if a # is a multiple of 12
62.5%
x²-2xy+y²
A chord is a line segment joining two points on a circle.
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.)

44. What is the set of elements found in both A and B?
The interesection of A and B.
Sector area = (n/360) X (pi)r^2
An angle which is supplementary to an interior angle.
Expressing a number as the product of a decimal between 1 and 10 - and a power of 10.

45. How to recognize a # as a multiple of 4
Sector area = (n/360) X (pi)r^2
x²+2xy+y²
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.)
27

46. What percent of 40 is 22?
55%
0
(x+y)(x+y)
26

47. For what values should the domain be restricted for the function f(x) = sqrt(x + 8)
Right
The union of A and B.
x^(6-3) = x^3
8

48. When dividing exponential #s with the same base - you do this to the exponents...
x²+2xy+y²
9 & 6/7
Subtract them. i.e (5^7)/(5^3)= 5^4
(base*height) / 2

49. 200 <_ x <_ 300. How many values of x are divisible by 5 & 8?
A central angle is an angle formed by 2 radii.
3
1
Ab+ac

50. A triangle is inscribed in a semi circle with legs 5 and 12. What is the circumfermence of the semicircle?
48
1
13pi / 2
53 - 59