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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. The larger the absolute value of the slope...
An infinite set.
The steeper the slope.
Be Zero!
Prime numbers (2 - 3 - 5 - 7 - 11 - 13 - 17 - 19 - 23)

2. What is an isoceles triangle?
(b + c)
26
41 - 43 - 47
Two equal sides and two equal angles.

3. What is the 'Range' of a function?
13
Expressing a number as the product of a decimal between 1 and 10 - and a power of 10.
Two angles whose sum is 90.
The set of output values for a function.

4. The Perimeter of a rectangle
A = length x width
83.333%
12! / 5!7! = 792
P=2(l+w)

5. 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)?
y = (x + 5)/2
.0004809 X 10^11
Ab=k (k is a constant)
Prime numbers (2 - 3 - 5 - 7 - 11 - 13 - 17 - 19 - 23)

6. Dividing by a number is the same as multiplying it by its
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.
Lies opposite the greater angle
28. n = 8 - k = 2. n! / k!(n-k)!
Reciprocal

7. Write 10 -843 X 10^7 in scientific notation
Pi is the ratio of a circle'S circumference to its diameter.
90pi
All numbers which can be expressed as a ratio of two integers. (All integers and fractions.) (-2 - 1 - .25 - 1/2)
1.0843 X 10^11

8. 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?
Distance=rate×time or d=rt
16.6666%
Two angles whose sum is 90.
$3 -500 in the 9% and $2 -500 in the 7%.

9. formula for volume of a rectangular solid
V=l×w×h
Prime numbers (2 - 3 - 5 - 7 - 11 - 13 - 17 - 19 - 23)
V=side³
A = pi(r^2)

10. 25^(1/2) or sqrt. 25 =
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.)
All numbers which can be expressed as a ratio of two integers. (All integers and fractions.) (-2 - 1 - .25 - 1/2)
5 OR -5
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)

11. Formula to find a circle'S circumference from its diameter?
A+c<b+c
The second graph is less steep.
C = (pi)d
360°

12. Formula to find a circle'S circumference from its radius?
Edge³
A percent is a fraction whose denominator is 100.
The second graph is less steep.
C = 2(pi)r

13. 1/6 in percent?
9 & 6/7
16.6666%
(b + c)
1:1:sqrt2

14. Whats the difference between factors and multiples?
[(7+ sqrt93) /2] - [(7 - sqrt93) / 2]
2sqrt6
Cross multiplication a/b=c/d 4/6=10/15 4(15)=6(10) 60=60
Factors are few - multiples are many.

15. The sum of the measures of the n angles in a polygon with n sides
(n-2) x 180
Pi is the ratio of a circle'S circumference to its diameter.
Can be negative - zero - or positive
83.333%

16. To multiply a number by 10^x
1
5 - 12 - 13
Move the decimal point to the right x places
= (actual decrease/Original amount) x 100%

17. What is the set of elements found in both A and B?
Diameter(Pi)
16.6666%
The interesection of A and B.
The overlapping sections.

18. Time
Can be negative - zero - or positive
Reciprocal
an angle that is less than 90°
(distance)/(rate) d/r

19. 1/2 divided by 3/7 is the same as
Its last two digits are divisible by 4.
1/2 times 7/3
Right
Pi(diameter)

20. 60 < all primes <70
61 - 67
A subset.
A set with a number of elements which can be counted.
1

21. 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?
4:9. The ratio of the areas of two similar triangles equals the square of the ratio of the corresponding sides.
1/2 times 7/3
180
441000 = 1 10 10 10 21 * 21

22. 7 divided by Ø
Null
87.5%
The sum of its digits is divisible by 3.
Smallest positive integer

23. 4.809 X 10^7 =
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
x(x - y + 1)
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.
.0004809 X 10^11

24. Simplify 4sqrt21 X 5sqrt2 / 10sqrt7
Circumference = Diameter(pi). Use pythagorean theorem to find the diagonal of the square (the diameter).
2sqrt6
Ø
x²+2xy+y²

25. 0^0
Distance=rate×time or d=rt
The empty set - denoted by a circle with a diagonal through it.
Undefined
180

26. Which is greater? 200x^295 or 10x^294?
1/a^6
The objects within a set.
Relationship cannot be determined (what if x is negative?)
1/x

27. What is the 'Solution' for a set of inequalities.
P(E) = 1/1 = 1
P= 2L + 2w
= (actual decrease/Original amount) x 100%
The overlapping sections.

28. How to recognize if a # is a multiple of 12
Triangles with same measure and same side lengths.
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.)
Even prime number
23 - 29

29. 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
18
180
(x+y)(x+y)
The steeper the slope.

30. What is the graph of f(x) shifted right c units or spaces?
53 - 59
Yes - because you can factor out a perfect square (36). Sqrt(36 x 2) = sqrt36 X sqrt2 = 6sqrt2.
F(x-c)
1

31. Reduce: 4.8 : 0.8 : 1.6
6 : 1 : 2
The set of input values for a function.
N! / (k!)(n-k)!
Right

32. a>b then a - b is positive or negative?
Members or elements
A-b is positive
360°
180 degrees

33. The sum of all angles around a point
(rate)(time) d=rt
1/xn i.e. 5^-3 = 1/(5^3) = 1/ 125 = .008
Arc length = (n/360) x pi(2r) where n is the number of degrees.
360°

34. -3²
A multiple of every integer
9
(6 x 2)(sqrt3 x sqrt5) = 12sqrt15
x²-y²

35. Circumference of a circle
ODD number
Pi(diameter)
7 / 1000
All real numbers which can'T be expressed as a ratio of two integers - positive and negative (pi - -sqrt3)

36. Ø Is
Ab+ac
EVEN
A natural number greater than 1 that has no positive divisors other than 1 and itself
Positive or Negative

37. 2 is the only
6
67 - 71 - 73
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.
Even prime number

38. In similar hexagons - the ratio of the areas is 16:25. What is the ratio of their corresponding sides?
P(E) = number of favorable outcomes/total number of possible outcomes
4:5
27^(-4)
angle that is greater than 90° but less than 180°

39. Ø divided by 7
A chord is a line segment joining two points on a circle.
62.5%
2²
Ø

40. a/Ø
Positive
(a - b)^2
A=(base)(height)
Null

41. P and r are factors of 100. What is greater - pr or 100?
x²+2xy+y²
180
Indeterminable.
$11 -448

42. 10^6 has how many zeroes?
D/t (distance)/(time)
A=pi*(r^2)
x = [(-b)+/- (sqrt b^2 - 4ac)]/2a
6

43. What is an arc of a circle?
Sum of digits is a multiple of 3 and the last digit is even.
An arc is a portion of a circumference of a circle.
x - x+1 - x+2
V=side³

44. Area of a rectangle
(base*height) / 2
The set of output values for a function.
A = length x width
The set of elements which can be found in either A or B.

45. What is the third quartile of the following data set: 44 - 58 - 63 - 63 - 68 - 70 - 82
A percent is a fraction whose denominator is 100.
(6 x 2)(sqrt3 x sqrt5) = 12sqrt15
Two (Ø×2=Ø)
70

46. What is a tangent?
A tangent is a line that only touches one point on the circumference of a circle.
Multiply by 1+x% i.e. 100 x (1+50%)=100x1.5=150
28
62.5%

47. Simplify the expression (p^2 - q^2)/ -5(q - p)
288 (8 9 4)
(p + q)/5
90
Factors are few - multiples are many.

48. What is the order of operations?
Yes - like radicals can be added/subtracted.
F(x + c)
PEMDAS (Parentheses Exponents Multiplication/Division Addition/Subtraction)
EVEN

49. (2²)³
26
Null
(length)(width)(height)
An angle which is supplementary to an interior angle.

50. 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)]?
True
An is positive
All numbers multiples of 1.
Reciprocal