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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. Ø is
Two (Ø×2=Ø)
P= 2L + 2w
4:5
A multiple of every integer

2. How to recognize a # as a multiple of 9
Ab-ac
= 25%. = (actual increase/original amount) x 100% = 20/80 x 100% = 1/4 x 100% = 25%
The sum of the digits is a multiple of 9.
An isosceles right triangle.

3. (12sqrt15) / (2sqrt5) =
EVEN
71 - 73 - 79
20.5
(12/2) x (sqrt15 / sqrt5) = 6sqrt3

4. (a^-1)/a^5
A set with a number of elements which can be counted.
Members or elements
Ø=P(E)=1
1/a^6

5. 30< all primes<40
A tangent is a line that only touches one point on the circumference of a circle.
4a^2(b)
31 - 37
An angle which is supplementary to an interior angle.

6. -3³
27
All real numbers which can'T be expressed as a ratio of two integers - positive and negative (pi - -sqrt3)
1
Positive

7. 20<all primes<30
23 - 29
B?b?b (where b is used as a factor n times)
1/x
All numbers multiples of 1.

8. 40 < all primes<50
41 - 43 - 47
0
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)
Its last two digits are divisible by 4.

9. If a is positive - an is
10! / 3!(10-3)! = 120
Positive
9
x²+2xy+y²

10. The objects in a set are called two names:
Members or elements
5 OR -5
A percent is a fraction whose denominator is 100.
360°

11. 50 < all primes< 60
B?b?b (where b is used as a factor n times)
360°
53 - 59
F(x-c)

12. There are 10 finalists for the school spelling bee. A first - second - and third place trophy will be awarded. How many different people can get the three prizes?
The point of intersection of the systems.
All real numbers which can'T be expressed as a ratio of two integers - positive and negative (pi - -sqrt3)
1.7
10! / 3!(10-3)! = 120

13. One is (a prime or not?)
A= (1/2) b*h
NOT A PRIME
Undefined
6

14. The only number that is equal to its opposite
A natural number greater than 1 that has no positive divisors other than 1 and itself
0
Ø Ø=Ø
Every number

15. 1/Ø=null If a>b then
A<-b
Ab=k (k is a constant)
3
4.25 - 6 - 22

16. If 10800 is invested at a simple interest rate of 4% - what is the value of the investment after 18 months?
(rate)(time) d=rt
Edge³
1.0843 X 10^11
$11 -448

17. Which is greater? 64^5 or 16^8
75:11
54sqrt3. (divide the hexagon into 6 congruent equilateral triangles.
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.
16^8 64^5 = (4^3)^5 = 4^15 16^8=(4^2)^8 = 4^16

18. What is the name for a grouping of the members within a set based on a shared characteristic?
A subset.
P= 2L + 2w
A reflection about the origin.
The longest side is opposite the largest (biggest) angle. The shortest side is opposite the smallest angle. Sides with the same lengths are opposite angles with the same measure.

19. What transformation occurs if point C is reflected over the x-axis and then the y-axis?
360°
18
P= 2L + 2w
A reflection about the axis.

20. 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?
12! / 5!7! = 792
18
F(x-c)
52

21. To multiply a number by 10^x
... the square of the ratios of the corresponding sides.
Move the decimal point to the right x places
The sum of digits is divisible by 9.
Even prime number

22. What is a percent?
1 - 4 - 9 - 16 - 25 - 36 - 49 - 64 - 81 - 100 - 121 - 144 - 169 - 196 - 225
A percent is a fraction whose denominator is 100.
90°
4.25 - 6 - 22

23. The perimeter of a square is 48 inches. The length of its diagonal is:
The empty set - denoted by a circle with a diagonal through it.
A<-b
12sqrt2
360°

24. Ratio of ages of Anna and Emma is 3:5 and of Emma and Nicolas is 3:5. What is the ratio of Anna to Nicholas' ages?
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)
9 : 25
The sum of the digits is a multiple of 9.
P(E) = 1/1 = 1

25. formula for distance problems
3/2 - 5/3
Distance=rate×time or d=rt
12.5%
A set with a number of elements which can be counted.

26. Is 0 even or odd?
70
Ø
Even
A set with a number of elements which can be counted.

27. What is the 'Solution' for a system of linear equations?
Ø
The steeper the slope.
27
The point of intersection of the systems.

28. What is the graph of f(x) shifted downward c units or spaces?
F(x) - c
D/t (distance)/(time)
72
A=pi*(r^2)

29. (6sqrt3) x (2sqrt5) =
A reflection about the origin.
zero
(6 x 2)(sqrt3 x sqrt5) = 12sqrt15
288 (8 9 4)

30. Perimeter of a rectangle
P= 2L + 2w
A reflection about the origin.
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)
The sum of digits is divisible by 9.

31. What is a chord of a circle?
55%
A chord is a line segment joining two points on a circle.
x^(4+7) = x^11
(p + q)/5

32. The larger the absolute value of the slope...
(a + b)^2
48
The steeper the slope.
2

33. 5x^2 - 35x -55 = 0
83.333%
A set with a number of elements which can be counted.
Members or elements
[(7+ sqrt93) /2] - [(7 - sqrt93) / 2]

34. What is a finite set?
A set with a number of elements which can be counted.
4096
28. n = 8 - k = 2. n! / k!(n-k)!
Lies opposite the greater angle

35. Formula to find a circle'S circumference from its diameter?
An isosceles right triangle.
C = (pi)d
1/2 times 7/3
(a + b)^2

36. the slope of a line in y=mx+b
M
V=l×w×h
4:5
Undefined

37. If E is certain
71 - 73 - 79
52
360°
P(E) = 1/1 = 1

38. Slope given 2 points
Move the decimal point to the right x places
A percent is a fraction whose denominator is 100.
y/x is a constant
M= (Y1-Y2)/(X1-X2)

39. a^0 =
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)
10! / (10-3)! = 720
1
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...

40. Whats the difference between factors and multiples?
Factors are few - multiples are many.
7 / 1000
4:5
Distance=rate×time or d=rt

41. To increase a number by x%
52
Null
Multiply by 1+x% i.e. 100 x (1+50%)=100x1.5=150
= (actual decrease/Original amount) x100% = 20/100x100% = 20%

42. Time
The union of A and B.
Two angles whose sum is 90.
(distance)/(rate) d/r
Subtract them. i.e (5^7)/(5^3)= 5^4

43. Evaluate 3& 2/7 / 1/3
9 & 6/7
48
The steeper the slope.
C=2 x pi x r OR pi x D

44. 8.84 / 5.2
1.7
1 - 4 - 9 - 16 - 25 - 36 - 49 - 64 - 81 - 100 - 121 - 144 - 169 - 196 - 225
28. n = 8 - k = 2. n! / k!(n-k)!
x²+2xy+y²

45. 60 < all primes <70
y = 2x^2 - 3
x^(6-3) = x^3
61 - 67
Pi is the ratio of a circle'S circumference to its diameter.

46. 1n
P= 2L + 2w
1
288 (8 9 4)
(6 x 2)(sqrt3 x sqrt5) = 12sqrt15

47. A cylinder has surface area 22pi. If the cylinder has a height of 10 - what is its radius?
Members or elements
1
y2-y1/x2-x1
90

48. binomial product of (x+y)²
1
A²+b²=c²
The union of A and B.
(x+y)(x+y)

49. Simplify (a^2 + b)^2 - (a^2 - b)^2
2sqrt6
Straight Angle
4a^2(b)
F(x) - c

50. Formula to find a circle'S circumference from its radius?
angle that is greater than 90° but less than 180°
Even
C = 2(pi)r
.0004809 X 10^11