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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. If a is inversely porportional to b - what does it equal?
Arc length = (n/360) x pi(2r) where n is the number of degrees.
Factors are few - multiples are many.
Positive or Negative
Ab=k (k is a constant)

2. When dividing exponential #s with the same base - you do this to the exponents...
x(x - y + 1)
Subtract them. i.e (5^7)/(5^3)= 5^4
= 25%. = (actual increase/original amount) x 100% = 20/80 x 100% = 1/4 x 100% = 25%
(a - b)^2

3. In any polygon - all external angles equal up to
2.592 kg
360°
Cross multiplication a/b=c/d 4/6=10/15 4(15)=6(10) 60=60
Infinite.

4. 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
53 - 59
Yes - because you can factor out a perfect square (36). Sqrt(36 x 2) = sqrt36 X sqrt2 = 6sqrt2.
72

5. Ø is
28
A multiple of every integer
Reciprocal
2

6. Area of a triangle
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)
90pi
A= (1/2) b*h
x^(4+7) = x^11

7. How to recognize a # as a multiple of 3
18
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
Circumference = Diameter(pi). Use pythagorean theorem to find the diagonal of the square (the diameter).
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)

8. 7/8 in percent?
87.5%
360°
An is positive
P(E) = number of favorable outcomes/total number of possible outcomes

9. (x-y)(x+y)
23 - 29
61 - 67
x²-y²
A 30-60-90 triangle.

10. In a triangle where the two legs are 4 and 3 - what is the value of a line directly intersecting the middle coming from the meeting point of the two legs?
1/2 times 7/3
A set with no members - denoted by a circle with a diagonal through it.
Null
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

11. What is a tangent?
A = pi(r^2)
The sum of its digits is divisible by 3.
V=side³
A tangent is a line that only touches one point on the circumference of a circle.

12. 8.84 / 5.2
Lies opposite the greater angle
1.7
18
The sum of its digits is divisible by 3.

13. What is a subset?
an angle that is less than 90°
X
75:11
A grouping of the members within a set based on a shared characteristic.

14. 1/2 divided by 3/7 is the same as
6 : 1 : 2
180°
x - x+1 - x+2
1/2 times 7/3

15. 5/6 in percent?
288 (8 9 4)
83.333%
Right
6 : 1 : 2

16. 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?
y2-y1/x2-x1
A=pi*(r^2)
441000 = 1 10 10 10 21 * 21
M= (Y1-Y2)/(X1-X2)

17. Which is greater? 200x^295 or 10x^294?
x²-2xy+y²
Relationship cannot be determined (what if x is negative?)
The set of output values for a function.
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)

18. What are 'Supplementary angles?'
Two angles whose sum is 180.
87.5%
1
x²-2xy+y²

19. What is the side length of an equilateral triangle with altitude 6?
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...
Ø=P(E)=1
An is positive
Ø

20. Define a 'monomial'
y2-y1/x2-x1
An expression with just one term (-6x - 2a^2)
67 - 71 - 73
A chord is a line segment joining two points on a circle.

21. What is the slope of a vertical line?

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22. 3 is the opposite of
3
The greatest value minus the smallest.
Ø=P(E)=1
Circumference = Diameter(pi). Use pythagorean theorem to find the diagonal of the square (the diameter).

23. If a is positive - an is
Positive
52
y = (x + 5)/2
The sum of the digits is a multiple of 9.

24. Distance
(rate)(time) d=rt
x²-y²
2 - 3 - 5 - 7 - 11 - 13 - 17 - 19 - 23 - 29
The empty set - denoted by a circle with a diagonal through it.

25. 30 60 90
A = length x width
x - x(SR3) - 2x
A multiple of every integer
Negative

26. Factor a^2 + 2ab + b^2
x^(4+7) = x^11
(a + b)^2
Yes - because you can factor out a perfect square (36). Sqrt(36 x 2) = sqrt36 X sqrt2 = 6sqrt2.
All numbers multiples of 1.

27. What is the area of a regular hexagon with side 6?
90pi
Right
Cross multiplication a/b=c/d 4/6=10/15 4(15)=6(10) 60=60
54sqrt3. (divide the hexagon into 6 congruent equilateral triangles.

28. If the two sides of a triangle are unequal then the longer side.................
The interesection of A and B.
1.7
zero
Lies opposite the greater angle

29. Simplify 4sqrt21 X 5sqrt2 / 10sqrt7
2sqrt6
83.333%
The point of intersection of the systems.
2 & 3/7

30. Find distance when given time and rate
D=rt so r= d/t and t=d/r
(a + b)^2
2
The set of output values for a function.

31. 10^6 has how many zeroes?
A=½bh
X
N! / (k!)(n-k)!
6

32. What is the intersection of A and B?
The sum of digits is divisible by 9.
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.)
The set of elements found in both A and B.
4a^2(b)

33. a^2 - b^2 =
(a - b)(a + b)
16^8 64^5 = (4^3)^5 = 4^15 16^8=(4^2)^8 = 4^16
1
(b + c)

34. factored binomial product of (x-y)²
Be Zero!
180°
54sqrt3. (divide the hexagon into 6 congruent equilateral triangles.
x²-2xy+y²

35. Probability of an Event
ODD number
P(E) = number of favorable outcomes/total number of possible outcomes
Undefined
Pi(diameter)

36. Formula for the area of a sector of a circle?
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
180°
x - x(SR3) - 2x
Sector area = (n/360) X (pi)r^2

37. 60 < all primes <70
61 - 67
Ø
[(7+ sqrt93) /2] - [(7 - sqrt93) / 2]
D/t (distance)/(time)

38. The sum of the measures of the n angles in a polygon with n sides
6 : 1 : 2
(n-2) x 180
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
90°

39. Formula to find a circle'S circumference from its radius?
1
C = 2(pi)r
zero
(2x7)³

40. Perfect Squares 1-15
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
71 - 73 - 79
1 - 4 - 9 - 16 - 25 - 36 - 49 - 64 - 81 - 100 - 121 - 144 - 169 - 196 - 225
Right

41. 50 < all primes< 60
53 - 59
A set with a number of elements which can be counted.
y/x is a constant
1.0843 X 10^11

42. 30 60 90
67 - 71 - 73
= (actual decrease/Original amount) x 100%
5 - 12 - 13
(a - b)^2

43. What is the 'domain' of a function?
3x - 4x - 5x
Null
An isosceles right triangle.
The set of input values for a function.

44. 1 is a divisor of
Every number
Straight Angle
The direction of the inequality is reversed.
Even prime number

45. Slope of any line that goes down as you move from left to right is
1/2 times 7/3
y2-y1/x2-x1
The sum of the digits is a multiple of 9.
Negative

46. (x-y)²
Pi is the ratio of a circle'S circumference to its diameter.
Distance=rate×time or d=rt
Ø
x²-2xy+y²

47. Solve the quadratic equation ax^2 + bx + c= 0
4096
9
x = [(-b)+/- (sqrt b^2 - 4ac)]/2a
A percent is a fraction whose denominator is 100.

48. Suppose you have a set of n objects - and you want to select k of them - but the order doesn'T matter. What formula do you use to determine the number of combinations of n objects taken k at a time?
.0004809 X 10^11
13
N! / (k!)(n-k)!
True

49. 3/8 in percent?
x = [(-b)+/- (sqrt b^2 - 4ac)]/2a
5 OR -5
37.5%
Its divisible by 2 and by 3.

50. 2³×7³
37.5%
A grouping of the members within a set based on a shared characteristic.
(2x7)³
4:5