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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 percent of 40 is 22?
55%
Two equal sides and two equal angles.
90pi
A reflection about the origin.

2. -3³
75:11
Null
27
(x+y)(x+y)

3. What is the side length of an equilateral triangle with altitude 6?
28
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...
1 - P(E)
Ø

4. What is a central angle?
Add them. i.e. (5^7) * (5^3) = 5^10
2 & 3/7
A central angle is an angle formed by 2 radii.
A 30-60-90 triangle.

5. 3/8 in percent?
The interesection of A and B.
y = 2x^2 - 3
Subtract them. i.e (5^7)/(5^3)= 5^4
37.5%

6. 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 + c)
0
1:1:sqrt2
A chord is a line segment joining two points on a circle.

7. Pythagorean theorem
1.0843 X 10^11
Ab+ac
ODD number
A²+b²=c²

8. 1 is a divisor of
F(x-c)
F(x) - c
All real numbers which can'T be expressed as a ratio of two integers - positive and negative (pi - -sqrt3)
Every number

9. If 4500 is invested at a simple interest rate of 6% - what is the value of the investment after 10 months?
4725
.0004809 X 10^11
ODD number
zero

10. What is the maximum value for the function g(x) = (-2x^2) -1?
A multiple of every integer
Two angles whose sum is 180.
Positive
1

11. Formula for the area of a circle?
Members or elements
[(7+ sqrt93) /2] - [(7 - sqrt93) / 2]
A = pi(r^2)
Negative

12. 1/Ø=null If a>b then
A<-b
5 OR -5
4.25 - 6 - 22
A tangent is a line that only touches one point on the circumference of a circle.

13. Reduce: 4.8 : 0.8 : 1.6
1:sqrt3:2
12! / 5!7! = 792
F(x-c)
6 : 1 : 2

14. Vertical lines
Even
Sum of digits is a multiple of 3 and the last digit is even.
18
Do not have slopes!

15. What is the surface area of a cylinder with radius 5 and height 8?
A chord is a line segment joining two points on a circle.
The set of elements which can be found in either A or B.
130pi
1:1:sqrt2

16. If 10800 is invested at a simple interest rate of 4% - what is the value of the investment after 18 months?
$11 -448
F(x) - c
x^(4+7) = x^11
Two equal sides and two equal angles.

17. a^2 - b^2 =
Even
(a - b)(a + b)
83.333%
NOT A PRIME

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?
1:sqrt3:2
Sum of digits is a multiple of 3 and the last digit is even.
41 - 43 - 47
441000 = 1 10 10 10 21 * 21

19. If a is negative and n is even then an is (positive or negative?)
An is positive
Undefined
10! / (10-3)! = 720
12sqrt2

20. Slope of any line that goes up from left to right
x²-2xy+y²
Positive
The union of A and B.
6 : 1 : 2

21. 5x^2 - 35x -55 = 0
Prime numbers (2 - 3 - 5 - 7 - 11 - 13 - 17 - 19 - 23)
The interesection of A and B.
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.)
[(7+ sqrt93) /2] - [(7 - sqrt93) / 2]

22. a^2 - 2ab + b^2
= (actual decrease/Original amount) x100% = 20/100x100% = 20%
Two (Ø×2=Ø)
(a - b)^2
Negative

23. What is the ratio of the sides of an isosceles right triangle?
4096
1:1:sqrt2
Subtract them. i.e (5^7)/(5^3)= 5^4
55%

24. A prime number (or a prime)
Parallelogram
288 (8 9 4)
A natural number greater than 1 that has no positive divisors other than 1 and itself
A=½bh

25. The Denominator can never
Be Zero!
An angle which is supplementary to an interior angle.
3
87.5%

26. Formula to find a circle'S circumference from its radius?
B?b?b (where b is used as a factor n times)
C = 2(pi)r
Every number
Cross multiplication a/b=c/d 4/6=10/15 4(15)=6(10) 60=60

27. For what values should the domain be restricted for the function f(x) = sqrt(x + 8)
(distance)/(rate) d/r
8
M
3/2 - 5/3

28. What is the coefficient of the x^2 term in the product of (x + 1)(x + 2)(x -1)?
2
Ø
All numbers multiples of 1.
4:5

29. Which is greater? 200x^295 or 10x^294?
x²+2xy+y²
1
Relationship cannot be determined (what if x is negative?)
28. n = 8 - k = 2. n! / k!(n-k)!

30. A triangle is inscribed in a semi circle with legs 5 and 12. What is the circumfermence of the semicircle?
F(x) - c
4.25 - 6 - 22
13pi / 2
Two angles whose sum is 90.

31. If a lamp increases from $80 to $100 - what is the percent increase?
A subset.
(a - b)^2
360/n
= 25%. = (actual increase/original amount) x 100% = 20/80 x 100% = 1/4 x 100% = 25%

32. Describe the relationship between 3x^2 and 3(x - 1)^2
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
441000 = 1 10 10 10 21 * 21
The graph of 3(x - 1)^2 is a translation (shift) of the graph one unit or space to the right.

33. 6w^2 - w - 15 = 0
y2-y1/x2-x1
3/2 - 5/3
9 : 25
27^(-4)

34. x^4 + x^7 =
A chord is a line segment joining two points on a circle.
Negative
Relationship cannot be determined (what if x is negative?)
x^(4+7) = x^11

35. What is the slope of a vertical line?

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36. 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
8
The triangle is a right triangle. The hypotenuse is twice the length of the shorter leg. The ratio of the length of the three sides is x:xv3:2x
Right
18

37. A number is divisible by 3 if ...
Multiply by 1-x% i.e. 100 x (1-50%)=100x.5=50
P(E) = number of favorable outcomes/total number of possible outcomes
The sum of its digits is divisible by 3.
61 - 67

38. What is an exterior angle?
Even prime number
An angle which is supplementary to an interior angle.
Arc length = (n/360) x pi(2r) where n is the number of degrees.
0

39. If the two sides of a triangle are unequal then the longer side.................
Null
6
x^(4+7) = x^11
Lies opposite the greater angle

40. What is a tangent?
The objects within a set.
F(x-c)
28
A tangent is a line that only touches one point on the circumference of a circle.

41. 10^6 has how many zeroes?
(base*height) / 2
Even prime number
6
V=l×w×h

42. Positive integers that have exactly 2 positive divisors are
3
Prime numbers (2 - 3 - 5 - 7 - 11 - 13 - 17 - 19 - 23)
B?b?b (where b is used as a factor n times)
x(x - y + 1)

43. Area of a rectangle
Ø
A = length x width
Undefined - because we can'T divide by 0.
12.5%

44. To multiply a number by 10^x
Null
F(x) - c
1/x
Move the decimal point to the right x places

45. How many 3-digit positive integers are even and do not contain the digit 4?
1.0843 X 10^11
The overlapping sections.
288 (8 9 4)
N! / (n-k)!

46. 3 is the opposite of
V=side³
(x+y)(x+y)
3
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)

47. Find distance when given time and rate
12sqrt2
D=rt so r= d/t and t=d/r
x(x - y + 1)
13

48. bn
1
B?b?b (where b is used as a factor n times)
$3 -500 in the 9% and $2 -500 in the 7%.
87.5%

49. Can you simplify sqrt72?
Yes - because you can factor out a perfect square (36). Sqrt(36 x 2) = sqrt36 X sqrt2 = 6sqrt2.
(x+y)(x-y)
D=rt so r= d/t and t=d/r
x²-2xy+y²

50. In a Regular Polygon - the measure of each exterior angle
Pi is the ratio of a circle'S circumference to its diameter.
2^9 / 2 = 256
6
360/n