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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. 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)]?
(6 x 2)(sqrt3 x sqrt5) = 12sqrt15
(a + b)^2
True
Ab=k (k is a constant)

2. 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?
Infinite.
9 : 25
The longest arc between points A and B on a circle'S diameter.
x - x(SR3) - 2x

3. 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?
Ab+ac
... the square of the ratios of the corresponding sides.
10! / 3!(10-3)! = 120
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)

4. What is the empty set?
Every number
3/2 - 5/3
Factors are few - multiples are many.
A set with no members - denoted by a circle with a diagonal through it.

5. a<b then a - b is positive or negative?
Its divisible by 2 and by 3.
NOT A PRIME
A-b is negative
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.)

6. What is a percent?
Even
P(E) = number of favorable outcomes/total number of possible outcomes
A percent is a fraction whose denominator is 100.
y = (x + 5)/2

7. The Denominator can never
180°
A-b is negative
The set of elements found in both A and B.
Be Zero!

8. Perimeter of a rectangle
9 & 6/7
P= 2L + 2w
6
87.5%

9. What is the third quartile of the following data set: 44 - 58 - 63 - 63 - 68 - 70 - 82
2sqrt6
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.)
70
x²-2xy+y²

10. How do you solve proportions? a/b=c/d
Smallest positive integer
Positive
20.5
Cross multiplication a/b=c/d 4/6=10/15 4(15)=6(10) 60=60

11. What percent of 40 is 22?
61 - 67
55%
P= 2L + 2w
72

12. Ø Is
P(E) = ø
20.5
EVEN
1.0843 X 10^11

13. What is the graph of f(x) shifted right c units or spaces?
F(x-c)
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
3
1 - P(E)

14. a^2 - 2ab + b^2
(a - b)^2
(length)(width)(height)
1.0843 X 10^11
Relationship cannot be determined (what if x is negative?)

15. What number between 70 & 75 - inclusive - has the greatest number of factors?
4.25 - 6 - 22
Move the decimal point to the right x places
288 (8 9 4)
72

16. If a lamp decreases to $80 - from $100 - what is the decrease in price?
= (actual decrease/Original amount) x100% = 20/100x100% = 20%
[(7+ sqrt93) /2] - [(7 - sqrt93) / 2]
5 OR -5
An isosceles right triangle.

17. What are the roots of the quadrinomial x^2 + 2x + 1?
ODD number
x - x(SR3) - 2x
The two xes after factoring.
6

18. What is the sum of the angles of a triangle?
(b + c)
Triangles with same measure and same side lengths.
180 degrees
28. n = 8 - k = 2. n! / k!(n-k)!

19. 3 is the opposite of
When we need to avoid having a zero in the denominator or avoid taking the square root of a number.
3
Multiply by 1-x% i.e. 100 x (1-50%)=100x.5=50
A-b is positive

20. formula for area of a triangle
A 30-60-90 triangle.
A=½bh
The set of elements which can be found in either A or B.
The interesection of A and B.

21. If a is positive - an is
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.)
Positive
A-b is positive
Ab=k (k is a constant)

22. The ratio of the areas of two similar polygons is ...
x - x+1 - x+2
1.0843 X 10^11
... the square of the ratios of the corresponding sides.
12! / 5!7! = 792

23. When does a function automatically have a restricted domain (2)?
1:1:sqrt2
The sum of digits is divisible by 9.
When we need to avoid having a zero in the denominator or avoid taking the square root of a number.
P(E) = 1/1 = 1

24. For any number x
Distance=rate×time or d=rt
A reflection about the origin.
Can be negative - zero - or positive
Ø=P(E)=1

25. What is the 'domain' of a function?
The set of input values for a function.
48
Null
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.)

26. A number is divisible by 4 is...
130pi
75:11
Its last two digits are divisible by 4.
Undefined - because we can'T divide by 0.

27. 2 is the only
5
Even prime number
The set of elements found in both A and B.
X

28. What is the side length of an equilateral triangle with altitude 6?
Ø
10! / 3!(10-3)! = 120
Distance=rate×time or d=rt
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...

29. 50 < all primes< 60
53 - 59
130pi
F(x) + c
The direction of the inequality is reversed.

30. If 10800 is invested at a simple interest rate of 4% - what is the value of the investment after 18 months?
A set with no members - denoted by a circle with a diagonal through it.
Positive
$11 -448
A multiple of every integer

31. The Perimeter of a rectangle
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)
P=2(l+w)
An infinite set.
4096

32. 30 60 90
Can be negative - zero - or positive
x - x(SR3) - 2x
(b + c)
4096

33. Can you add sqrt 3 and sqrt 5?
The direction of the inequality is reversed.
No - only like radicals can be added.
The sum of its digits is divisible by 3.
Right

34. a(b+c)
Cross multiplication a/b=c/d 4/6=10/15 4(15)=6(10) 60=60
Ab+ac
Every number
All numbers which can be expressed as a ratio of two integers. (All integers and fractions.) (-2 - 1 - .25 - 1/2)

35. What are 'Supplementary angles?'
A set with no members - denoted by a circle with a diagonal through it.
A set with a number of elements which can be counted.
Two angles whose sum is 180.
A chord is a line segment joining two points on a circle.

36. the measure of a straight angle
P(E) = ø
1/a^6
All numbers multiples of 1.
180°

37. 25+2³
... the square of the ratios of the corresponding sides.
(a + b)^2
28
4725

38. How many 3-digit positive integers are even and do not contain the digit 4?
288 (8 9 4)
The greatest value minus the smallest.
6
y2-y1/x2-x1

39. Formula to calculate arc length?
The objects within a set.
Arc length = (n/360) x pi(2r) where n is the number of degrees.
71 - 73 - 79
(n-2) x 180

40. x^2 = 9. What is the value of x?
31 - 37
3 - -3
x - x+1 - x+2
9

41. If a pair of parallel lines is cut by a transversal that'S not perpendicular - the sum of any acute angle and any obtuse angle is
Undefined - because we can'T divide by 0.
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)
180
1

42. a(b-c)
Ab-ac
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...
Undefined - because we can'T divide by 0.
(2x7)³

43. Time
(2x7)³
Ø Ø=Ø
4096
(distance)/(rate) d/r

44. Circumference of a circle
67 - 71 - 73
2(pi)r
Relationship cannot be determined (what if x is negative?)
An infinite set.

45. x^4 + x^7 =
A+c<b+c
A<-b
4096
x^(4+7) = x^11

46. Formula to find a circle'S circumference from its radius?
360°
C = 2(pi)r
4:5
The objects within a set.

47. Convert 0.7% to a fraction.
180°
P= 2L + 2w
x = [(-b)+/- (sqrt b^2 - 4ac)]/2a
7 / 1000

48. What are the members or elements of a set?
A set with no members - denoted by a circle with a diagonal through it.
The objects within a set.
Straight Angle
360°

49. The objects in a set are called two names:
Members or elements
3
Every number
The sum of its digits is divisible by 3.

50. If E is certain
A 30-60-90 triangle.
The two xes after factoring.
P(E) = 1/1 = 1
(a + b)^2