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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. Any Horizontal line slope
The set of input values for a function.
Cd
zero
x²+2xy+y²

2. If a=-1 and b=3 - what is the value of (4(a^3)(b^2) - 12(a^2)(b^5)) / (16(a^3)(b^2))?
20.5
180 degrees
A grouping of the members within a set based on a shared characteristic.
54sqrt3. (divide the hexagon into 6 congruent equilateral triangles.

3. (x-y)²
A 30-60-90 triangle.
x²-2xy+y²
500
A<-b

4. bn
Ø
B?b?b (where b is used as a factor n times)
x^(6-3) = x^3
Edge³

5. What is it called when a point is reflected to the quadrant opposite it (i.e. I to III or II to IV)?
Negative
True
A reflection about the origin.
Edge³

6. If the 80th percentile of the measurements is 72degrees - about how many measurments are between 69 degrees and 72 degrees? Round your answer to the nearest tenth
V=l×w×h
18
C = (pi)d
360°

7. Can you add sqrt 3 and sqrt 5?
3
D=rt so r= d/t and t=d/r
= 25%. = (actual increase/original amount) x 100% = 20/80 x 100% = 1/4 x 100% = 25%
No - only like radicals can be added.

8. Area of a triangle
16.6666%
A= (1/2) b*h
Even
1:sqrt3:2

9. Circumference of a circle
4.25 - 6 - 22
3
Pi(diameter)
0

10. Probability of an Event
Ø=P(E)=1
Ø
2 - 3 - 5 - 7 - 11 - 13 - 17 - 19 - 23 - 29
P(E) = number of favorable outcomes/total number of possible outcomes

11. 1 is an
Undefined - because we can'T divide by 0.
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.
Multiply by 1+x% i.e. 100 x (1+50%)=100x1.5=150
ODD number

12. 25+2³
70
x = [(-b)+/- (sqrt b^2 - 4ac)]/2a
180°
28

13. The product of any number x and its reciprocal
an angle that is less than 90°
1
23 - 29
F(x) - c

14. What is a tangent?
Prime numbers (2 - 3 - 5 - 7 - 11 - 13 - 17 - 19 - 23)
Even
A tangent is a line that only touches one point on the circumference of a circle.
A reflection about the origin.

15. Write 10 -843 X 10^7 in scientific notation
A reflection about the axis.
PEMDAS (Parentheses Exponents Multiplication/Division Addition/Subtraction)
1 & 37/132
1.0843 X 10^11

16. binomial product of (x+y)(x-y)
53 - 59
Smallest positive integer
x²-y²
180 degrees

17. 8.84 / 5.2
1.7
1.0843 X 10^11
True
1

18. Hector invested $6000. Part was invested in account with 9% simple annual interest - and the rest in account with 7% simple annual interest. If he earned $490 in the first year of these investments - how much did he invest in each account?
2
$3 -500 in the 9% and $2 -500 in the 7%.
x²-y²
Two equal sides and two equal angles.

19. First 10 prime #s
P(E) = ø
6
.0004809 X 10^11
2 - 3 - 5 - 7 - 11 - 13 - 17 - 19 - 23 - 29

20. 30< all primes<40
Factors are few - multiples are many.
31 - 37
A+c<b+c
9

21. What is the surface area of a cylinder with radius 5 and height 8?
130pi
Every number
Its divisible by 2 and by 3.
(distance)/(rate) d/r

22. What are the real numbers?
Even
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)
Pi(diameter)
Factors are few - multiples are many.

23. Slope
87.5%
y2-y1/x2-x1
61 - 67
A central angle is an angle formed by 2 radii.

24. 70 < all primes< 80
28
Right
71 - 73 - 79
72

25. What is the area of a regular hexagon with side 6?
Negative
54sqrt3. (divide the hexagon into 6 congruent equilateral triangles.
3
F(x-c)

26. In any polygon - all external angles equal up to
F(x + c)
360°
Its last two digits are divisible by 4.
9 & 6/7

27. How many digits are there between the decimal point and the first even digit in the decimal equivalent of 1/[(2^8)(5^3)]
B?b?b (where b is used as a factor n times)
A+c<b+c
1/2 times 7/3
0

28. (x^2)^4
Sector area = (n/360) X (pi)r^2
N! / (k!)(n-k)!
x^(2(4)) =x^8 = (x^4)^2
Undefined

29. The Perimeter of a rectangle
23 - 29
P=2(l+w)
The steeper the slope.
(a - b)(a + b)

30. How many multiples does a given number have?
x(x - y + 1)
Infinite.
37.5%
Positive

31. 0^0
(rate)(time) d=rt
1
Undefined
A=½bh

32. If a<b - then
A+c<b+c
The overlapping sections.
A natural number greater than 1 that has no positive divisors other than 1 and itself
1

33. The sum of all angles around a point
A 30-60-90 triangle.
A+c<b+c
2sqrt6
360°

34. What is the empty set?
A set with no members - denoted by a circle with a diagonal through it.
1:sqrt3:2
1
V=side³

35. a^2 - b^2 =
(a + b)^2
9 : 25
(a - b)(a + b)
28

36. the measure of a straight angle
y2-y1/x2-x1
180°
A chord is a line segment joining two points on a circle.
An arc is a portion of a circumference of a circle.

37. a/Ø
55%
The graph of 3(x - 1)^2 is a translation (shift) of the graph one unit or space to the right.
Null
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.

38. Find the surface area of a cylinder with radius 3 and height 12.
90pi
(2x7)³
Its divisible by 2 and by 3.
(length)(width)(height)

39. From a box of 12 candles - you are to remove 5. How many different sets of 5 candles could you remove?
Yes - like radicals can be added/subtracted.
12! / 5!7! = 792
(pi)r²
A=(base)(height)

40. Evaluate and write as a mixed number: 2/7 - 3/21 + 2 & 4/14
90pi
20.5
1
2 & 3/7

41. When does a function automatically have a restricted domain (2)?
x^(6-3) = x^3
When we need to avoid having a zero in the denominator or avoid taking the square root of a number.
A grouping of the members within a set based on a shared characteristic.
A reflection about the axis.

42. 20<all primes<30
6
A set with no members - denoted by a circle with a diagonal through it.
23 - 29
2(pi)r

43. The important properties of a 45-45-90 triangle?
4096
Multiply by 1+x% i.e. 100 x (1+50%)=100x1.5=150
180°
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.

44. What is the slope of a vertical line?

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45. What is the set of elements found in both A and B?
x - x+1 - x+2
A percent is a fraction whose denominator is 100.
The interesection of A and B.
Circumference = Diameter(pi). Use pythagorean theorem to find the diagonal of the square (the diameter).

46. 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)]?
Cross multiplication a/b=c/d 4/6=10/15 4(15)=6(10) 60=60
27^(-4)
Indeterminable.
True

47. formula for area of a triangle
A reflection about the origin.
53 - 59
A=½bh
(a + b)^2

48. A number is divisible by 4 is...
52
Its last two digits are divisible by 4.
288 (8 9 4)
An is positive

49. Area of a triangle?
(amount of decrease/original price) x 100%
V=Lwh
B?b?b (where b is used as a factor n times)
(base*height) / 2

50. formula for volume of a rectangular solid
C=2 x pi x r OR pi x D
12! / 5!7! = 792
1
V=l×w×h