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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. What number between 70 & 75 - inclusive - has the greatest number of factors?
72
16.6666%
500
41 - 43 - 47

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?
9 : 25
9
X
13

3. What is a central angle?
N! / (k!)(n-k)!
x²+2xy+y²
(x+y)(x-y)
A central angle is an angle formed by 2 radii.

4. What is the sum of the angles of a triangle?
4:9. The ratio of the areas of two similar triangles equals the square of the ratio of the corresponding sides.
C = (pi)d
180 degrees
1

5. What is the graph of f(x) shifted left c units or spaces?
Ø
F(x + c)
Negative
20.5

6. What is the 'domain' of a function?
1
The set of input values for a function.
Two (Ø×2=Ø)
N! / (n-k)!

7. 7/8 in percent?
D/t (distance)/(time)
87.5%
53 - 59
X

8. Probability of an Event
26
A-b is negative
P(E) = number of favorable outcomes/total number of possible outcomes
Even

9. Can you add sqrt 3 and sqrt 5?
No - only like radicals can be added.
62.5%
4725
A=(base)(height)

10. binomial product of (x+y)(x-y)
3
Cross multiplication a/b=c/d 4/6=10/15 4(15)=6(10) 60=60
(pi)r²
x²-y²

11. If the two sides of a triangle are unequal then the longer side.................
Lies opposite the greater angle
A = pi(r^2)
(6 x 2)(sqrt3 x sqrt5) = 12sqrt15
(rate)(time) d=rt

12. What is the empty set?
28
Ø
Edge³
A set with no members - denoted by a circle with a diagonal through it.

13. 1/6 in percent?
16.6666%
P=2(l+w)
A natural number greater than 1 that has no positive divisors other than 1 and itself
28. n = 8 - k = 2. n! / k!(n-k)!

14. A quadrilateral where two diagonals bisect each other
A grouping of the members within a set based on a shared characteristic.
Parallelogram
9 : 25
360°

15. Suppose that the graph of f(x) is the result of stretching y=x + 5 away from the x-axis by a factor of 2. What is the new equation for the graph f(x)?
V=side³
1
y = (x + 5)/2
Ab+ac

16. Is 0 even or odd?
2.4. We calculate the area (6) and then turn the triangle on its side and use x as the height to calculate again. (5x)/2=6
D=rt so r= d/t and t=d/r
Even
Even prime number

17. From a box of 12 candles - you are to remove 5. How many different sets of 5 candles could you remove?
zero
0
12! / 5!7! = 792
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.)

18. For similar triangles - the ratio of their corresponding sides is 2:3. What is the ratio of their areas?
P(E) = number of favorable outcomes/total number of possible outcomes
4:9. The ratio of the areas of two similar triangles equals the square of the ratio of the corresponding sides.
9 & 6/7
P=4s (s=side)

19. If a lamp increases from $80 to $100 - what is the percent increase?
180
The set of output values for a function.
= 25%. = (actual increase/original amount) x 100% = 20/80 x 100% = 1/4 x 100% = 25%
y = (x + 5)/2

20. Any Horizontal line slope
zero
5 - 12 - 13
2 - 3 - 5 - 7 - 11 - 13 - 17 - 19 - 23 - 29
Null

21. What is the slope of a horizontal line?
(n-2) x 180
71 - 73 - 79
3 - 4 - 5
0

22. Ø divided by 7
360°
1:sqrt3:2
B?b?b (where b is used as a factor n times)
Ø

23. Which is greater? 200x^295 or 10x^294?
Relationship cannot be determined (what if x is negative?)
The greatest value minus the smallest.
A+c<b+c
an angle that is less than 90°

24. a(b+c)
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)
3 - 4 - 5
x²-2xy+y²
Ab+ac

25. 1/8 in percent?
12.5%
180°
A-b is positive
20.5

26. To multiply a number by 10^x
x^(2(4)) =x^8 = (x^4)^2
Move the decimal point to the right x places
The direction of the inequality is reversed.
The greatest value minus the smallest.

27. Rate
D/t (distance)/(time)
Subtract them. i.e (5^7)/(5^3)= 5^4
54sqrt3. (divide the hexagon into 6 congruent equilateral triangles.
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.)

28. Slope
Add them. i.e. (5^7) * (5^3) = 5^10
y2-y1/x2-x1
x = [(-b)+/- (sqrt b^2 - 4ac)]/2a
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)

29. How to recognize a # as a multiple of 9
y = 2x^2 - 3
y/x is a constant
The sum of the digits is a multiple of 9.
(rate)(time) d=rt

30. The Denominator can never
Be Zero!
Ø
Relationship cannot be determined (what if x is negative?)
Every number

31. Ø is
A multiple of every integer
5 OR -5
When we need to avoid having a zero in the denominator or avoid taking the square root of a number.
11 - 13 - 17 - 19

32. 2³×7³
A tangent is a line that only touches one point on the circumference of a circle.
(2x7)³
x²-y²
1/a^6

33. Volume of a rectangular box
V=Lwh
A=½bh
A²+b²=c²
0

34. The sum of the angles in a quadrilateral is
Yes - like radicals can be added/subtracted.
360°
90pi
The direction of the inequality is reversed.

35. Pythagorean theorem
A²+b²=c²
Do not have slopes!
2.4. We calculate the area (6) and then turn the triangle on its side and use x as the height to calculate again. (5x)/2=6
16.6666%

36. What is a major arc?

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37. Slope of any line that goes up from left to right
Ø
Sector area = (n/360) X (pi)r^2
Positive
2sqrt6

38. If a product of two numbers is Ø - one number must be
Ø
Cross multiplication a/b=c/d 4/6=10/15 4(15)=6(10) 60=60
NOT A PRIME
48

39. Legs 6 - 8. Hypotenuse?
54sqrt3. (divide the hexagon into 6 congruent equilateral triangles.
10
360°
x^(6-3) = x^3

40. Volume of a rectangular solid
The interesection of A and B.
Triangles with same measure and same side lengths.
(length)(width)(height)
12! / 5!7! = 792

41. For what values should the domain be restricted for the function f(x) = sqrt(x + 8)
Be Zero!
x^(2(4)) =x^8 = (x^4)^2
8
72

42. Reduce: 4.8 : 0.8 : 1.6
16.6666%
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.)
F(x) - c
6 : 1 : 2

43. If 8 schools are in a conference - how many games are played if each team plays each other exactly once?
D/t (distance)/(time)
53 - 59
2 & 3/7
28. n = 8 - k = 2. n! / k!(n-k)!

44. What is a subset?
4:5
Sector area = (n/360) X (pi)r^2
The empty set - denoted by a circle with a diagonal through it.
A grouping of the members within a set based on a shared characteristic.

45. If a lamp decreases to $80 - from $100 - what is the decrease in price?
= (actual decrease/Original amount) x100% = 20/100x100% = 20%
ODD number
= 25%. = (actual increase/original amount) x 100% = 20/80 x 100% = 1/4 x 100% = 25%
The empty set - denoted by a circle with a diagonal through it.

46. 70 < all primes< 80
A set with no members - denoted by a circle with a diagonal through it.
Prime numbers (2 - 3 - 5 - 7 - 11 - 13 - 17 - 19 - 23)
71 - 73 - 79
Diameter(Pi)

47. What is a set with no members called?
The empty set - denoted by a circle with a diagonal through it.
90
F(x-c)
True

48. Ø Is
Be Zero!
20.5
V=side³
EVEN

49. 8.84 / 5.2
NOT A PRIME
The interesection of A and B.
1.7
72

50. 25^(1/2) or sqrt. 25 =
A=pi*(r^2)
5 OR -5
(a + b)^2
4a^2(b)