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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. 4.809 X 10^7 =
Edge³
zero
.0004809 X 10^11
37.5%

2. Is 0 even or odd?
Yes - because you can factor out a perfect square (36). Sqrt(36 x 2) = sqrt36 X sqrt2 = 6sqrt2.
(a - b)(a + b)
2.592 kg
Even

3. formula for area of a triangle
A=½bh
71 - 73 - 79
x(x - y + 1)
All numbers which can be expressed as a ratio of two integers. (All integers and fractions.) (-2 - 1 - .25 - 1/2)

4. 20<all primes<30
37.5%
23 - 29
Subtract them. i.e (5^7)/(5^3)= 5^4
x²-2xy+y²

5. 3 is the opposite of
V=side³
3
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...
4.25 - 6 - 22

6. 7 divided by Ø
Null
.0004809 X 10^11
= (actual decrease/Original amount) x 100%
83.333%

7. What is the empty set?
A set with no members - denoted by a circle with a diagonal through it.
Two angles whose sum is 90.
x - x+1 - x+2
True

8. 60 < all primes <70
61 - 67
(6 x 2)(sqrt3 x sqrt5) = 12sqrt15
y2-y1/x2-x1
A multiple of every integer

9. Any Horizontal line slope
5
zero
x^(4+7) = x^11
12.5%

10. 1/8 in percent?
Multiply by 1-x% i.e. 100 x (1-50%)=100x.5=50
2.592 kg
Expressing a number as the product of a decimal between 1 and 10 - and a power of 10.
12.5%

11. Evaluate (4^3)^2
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.)
10
A central angle is an angle formed by 2 radii.
4096

12. Formula to find a circle'S circumference from its radius?
C = 2(pi)r
Cross multiplication a/b=c/d 4/6=10/15 4(15)=6(10) 60=60
1
Expressing a number as the product of a decimal between 1 and 10 - and a power of 10.

13. Simplify 9^(1/2) X 4^3 X 2^(-6)?
3
An isosceles right triangle.
A reflection about the origin.
1

14. 200 <_ x <_ 300. How many values of x are divisible by 5 & 8?
6
3
4:5
360°

15. What is the graph of f(x) shifted downward c units or spaces?
A=½bh
The sum of the digits is a multiple of 9.
F(x) - c
9 & 6/7

16. In a Regular Polygon - the measure of each exterior angle
360/n
(a - b)(a + b)
(x+y)(x+y)
Subtract them. i.e (5^7)/(5^3)= 5^4

17. a>b then a - b is positive or negative?
A-b is positive
P=4s (s=side)
An arc is a portion of a circumference of a circle.
Triangles with same measure and same side lengths.

18. 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?
Distance=rate×time or d=rt
441000 = 1 10 10 10 21 * 21
F(x) + c
The direction of the inequality is reversed.

19. Evaluate and write as a mixed number: 2/7 - 3/21 + 2 & 4/14
4:9. The ratio of the areas of two similar triangles equals the square of the ratio of the corresponding sides.
2 & 3/7
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)
(a - b)^2

20. If a lamp increases from $80 to $100 - what is the percent increase?
= 25%. = (actual increase/original amount) x 100% = 20/80 x 100% = 1/4 x 100% = 25%
A = length x width
Diameter(Pi)
(distance)/(rate) d/r

21. 40 < all primes<50
72
Reciprocal
41 - 43 - 47
Two equal sides and two equal angles.

22. Nine coins are tossed simultaneously. In how many of the outcomes will the fourth coin tossed show heads?
The two xes after factoring.
5
2^9 / 2 = 256
9

23. What is a minor arc?

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24. a^2 - b^2 =
A natural number greater than 1 that has no positive divisors other than 1 and itself
(a - b)(a + b)
55%
Add them. i.e. (5^7) * (5^3) = 5^10

25. What is the order of operations?
71 - 73 - 79
PEMDAS (Parentheses Exponents Multiplication/Division Addition/Subtraction)
Ø=P(E)=1
500

26. 1 is the
Smallest positive integer
4096
(6 x 2)(sqrt3 x sqrt5) = 12sqrt15
1

27. The sum of the measures of the n angles in a polygon with n sides
3/2 - 5/3
Ø
(n-2) x 180
The point of intersection of the systems.

28. Pi is a ratio of what to what?

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29. 10<all primes<20
37.5%
11 - 13 - 17 - 19
An is positive
Ø

30. How to recognize a # as a multiple of 3
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)
Even prime number
1/x
(a + b)^2

31. What is the slope of a horizontal line?
180
0
A reflection about the origin.
Yes - like radicals can be added/subtracted.

32. 1/Ø=null If a>b then
Two angles whose sum is 180.
90
9 : 25
A<-b

33. How many 3-digit positive integers are even and do not contain the digit 4?
Positive
288 (8 9 4)
Arc length = (n/360) x pi(2r) where n is the number of degrees.
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.

34. If a<b - then
A+c<b+c
67 - 71 - 73
4.25 - 6 - 22
x = [(-b)+/- (sqrt b^2 - 4ac)]/2a

35. What is the ratio of the sides of an isosceles right triangle?
A subset.
1:1:sqrt2
Cd
B?b?b (where b is used as a factor n times)

36. What is the graph of f(x) shifted upward c units or spaces?
F(x) + c
The sum of the digits is a multiple of 9.
28
Undefined

37. -3²
9
x(x - y + 1)
Ø
4:5

38. The reciprocal of any non-zero #x is
1/x
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.
(a - b)(a + b)
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)

39. P and r are factors of 100. What is greater - pr or 100?
54sqrt3. (divide the hexagon into 6 congruent equilateral triangles.
4725
20.5
Indeterminable.

40. What is the maximum value for the function g(x) = (-2x^2) -1?
1
A percent is a fraction whose denominator is 100.
(length)(width)(height)
Pi(diameter)

41. 2³×7³
(2x7)³
An expression with just one term (-6x - 2a^2)
A reflection about the axis.
Reciprocal

42. Volume of a rectangular box
V=Lwh
an angle that is less than 90°
2²
72

43. Find the surface area of a cylinder with radius 3 and height 12.
10! / (10-3)! = 720
The sum of digits is divisible by 9.
90pi
F(x) + c

44. binomial product of (x+y)²
7 / 1000
(x+y)(x+y)
Arc length = (n/360) x pi(2r) where n is the number of degrees.
Ø

45. 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?
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
2.592 kg
180°
20.5

46. Positive integers that have exactly 2 positive divisors are
Prime numbers (2 - 3 - 5 - 7 - 11 - 13 - 17 - 19 - 23)
x²-y²
Smallest positive integer
Ab=k (k is a constant)

47. If a is inversely porportional to b - what does it equal?
1/xn i.e. 5^-3 = 1/(5^3) = 1/ 125 = .008
1/2 times 7/3
Ab=k (k is a constant)
(2x7)³

48. What is the 'Solution' for a set of inequalities.
1/a^6
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)
The overlapping sections.
(a - b)(a + b)

49. What is the 'Range' of a series of numbers?
288 (8 9 4)
.0004809 X 10^11
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 greatest value minus the smallest.

50. If Event is impossible
Smallest positive integer
P(E) = ø
Arc length = (n/360) x pi(2r) where n is the number of degrees.
The set of output values for a function.