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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. a^2 - 2ab + b^2
Edge³
Distance=rate×time or d=rt
(a - b)^2
A²+b²=c²

2. The objects in a set are called two names:
Ø
9
x - x+1 - x+2
Members or elements

3. How many 3-digit positive integers are even and do not contain the digit 4?
P(E) = 1/1 = 1
53 - 59
Reciprocal
288 (8 9 4)

4. x^6 / x^3
16^8 64^5 = (4^3)^5 = 4^15 16^8=(4^2)^8 = 4^16
x^(6-3) = x^3
11 - 13 - 17 - 19
Ø

5. 2 is the only
(amount of decrease/original price) x 100%
X
Even prime number
1 - P(E)

6. Any Horizontal line slope
A grouping of the members within a set based on a shared characteristic.
Ø Ø=Ø
zero
180°

7. 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?
Positive
1
441000 = 1 10 10 10 21 * 21
Ab-ac

8. Evaluate (4^3)^2
A+c<b+c
4096
27^(-4)
x - x(SR3) - 2x

9. What are 'Supplementary angles?'
13pi / 2
3 - 4 - 5
90pi
Two angles whose sum is 180.

10. a^2 + 2ab + b^2
All numbers multiples of 1.
Smallest positive integer
(a + b)^2
16.6666%

11. 3 is the opposite of
Multiply by 1-x% i.e. 100 x (1-50%)=100x.5=50
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.)
x²-y²
3

12. a(b+c)
F(x + c)
Ab+ac
P(E) = ø
180

13. What are congruent triangles?
Triangles with same measure and same side lengths.
M= (Y1-Y2)/(X1-X2)
12! / 5!7! = 792
Arc length = (n/360) x pi(2r) where n is the number of degrees.

14. 8.84 / 5.2
3
Undefined - because we can'T divide by 0.
A subset.
1.7

15. In any polygon - all external angles equal up to
Positive or Negative
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.
360°
180

16. What is the common monomial factor in the expression 4(c^3)d - (c^2)(d^2) + 2cd?
2
Ø
67 - 71 - 73
Cd

17. What does scientific notation mean?
Reciprocal
3
A set with no members - denoted by a circle with a diagonal through it.
Expressing a number as the product of a decimal between 1 and 10 - and a power of 10.

18. 30 60 90
Add them. i.e. (5^7) * (5^3) = 5^10
3x - 4x - 5x
x(x - y + 1)
Members or elements

19. Evaluate 3& 2/7 / 1/3
The set of input values for a function.
9 & 6/7
1
8

20. A prime number (or a prime)
The point of intersection of the systems.
The set of input values for a function.
The sum of the digits is a multiple of 9.
A natural number greater than 1 that has no positive divisors other than 1 and itself

21. If you have a set of n objects - but you only want to order k of them - what formula do you use to determine the number of permutations?
B?b?b (where b is used as a factor n times)
(12/2) x (sqrt15 / sqrt5) = 6sqrt3
N! / (n-k)!
The sum of its digits is divisible by 3.

22. Write 10 -843 X 10^7 in scientific notation
V=Lwh
2²
A percent is a fraction whose denominator is 100.
1.0843 X 10^11

23. 50 < all primes< 60
A=(base)(height)
53 - 59
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)
Parallelogram

24. Area of a circle
130pi
Expressing a number as the product of a decimal between 1 and 10 - and a power of 10.
Circumference = Diameter(pi). Use pythagorean theorem to find the diagonal of the square (the diameter).
A=pi*(r^2)

25. 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))?
2
20.5
13pi / 2
(amount of decrease/original price) x 100%

26. What is the 'union' of A and B?
A percent is a fraction whose denominator is 100.
A= (1/2) b*h
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
The set of elements which can be found in either A or B.

27. Which is greater? 200x^295 or 10x^294?
an angle that is less than 90°
4725
Relationship cannot be determined (what if x is negative?)
The steeper the slope.

28. 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
1/x
4:5
Pi is the ratio of a circle'S circumference to its diameter.

29. Product of any number and Ø is
Ø
11 - 13 - 17 - 19
x - x(SR3) - 2x
Sum of digits is a multiple of 3 and the last digit is even.

30. How to find the circumference of a circle which circumscribes a square?
Ab=k (k is a constant)
Circumference = Diameter(pi). Use pythagorean theorem to find the diagonal of the square (the diameter).
Yes - because you can factor out a perfect square (36). Sqrt(36 x 2) = sqrt36 X sqrt2 = 6sqrt2.
62.5%

31. Factor x^2 - xy + x.
V=side³
12! / 5!7! = 792
x(x - y + 1)
28

32. Define an 'expression'.
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)
67 - 71 - 73
(rate)(time) d=rt
Ab+ac

33. What is the graph of f(x) shifted left c units or spaces?
Sum of digits is a multiple of 3 and the last digit is even.
Infinite.
F(x + c)
True

34. The reciprocal of any non-zero #x is
Multiply by 1-x% i.e. 100 x (1-50%)=100x.5=50
A subset.
1/x
71 - 73 - 79

35. Convert 0.7% to a fraction.
Negative
7 / 1000
(a - b)(a + b)
2sqrt6

36. The percent decrease of a quantity
x²-y²
The point of intersection of the systems.
= (actual decrease/Original amount) x 100%
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)

37. (6sqrt3) x (2sqrt5) =
An arc is a portion of a circumference of a circle.
P(E) = number of favorable outcomes/total number of possible outcomes
A-b is positive
(6 x 2)(sqrt3 x sqrt5) = 12sqrt15

38. Solve the quadratic equation ax^2 + bx + c= 0
Even prime number
x = [(-b)+/- (sqrt b^2 - 4ac)]/2a
(pi)r²
The objects within a set.

39. If 10800 is invested at a simple interest rate of 4% - what is the value of the investment after 18 months?
The set of elements which can be found in either A or B.
$11 -448
Negative
3

40. Area of a circle
x - x+1 - x+2
(pi)r²
A percent is a fraction whose denominator is 100.
Null

41. a(b-c)
4725
P(E) = 1/1 = 1
(a - b)(a + b)
Ab-ac

42. factored binomial product of (x-y)²
90°
P(E) = number of favorable outcomes/total number of possible outcomes
True
x²-2xy+y²

43. Ø divided by 7
27
Ø
90
13pi / 2

44. What is an isoceles triangle?
Infinite.
C = 2(pi)r
Two equal sides and two equal angles.
The two xes after factoring.

45. To multiply a number by 10^x
The sum of its digits is divisible by 3.
(2x7)³
Move the decimal point to the right x places
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...

46. The Denominator can never
Members or elements
Be Zero!
4:9. The ratio of the areas of two similar triangles equals the square of the ratio of the corresponding sides.
x - x+1 - x+2

47. What is the third quartile of the following data set: 44 - 58 - 63 - 63 - 68 - 70 - 82
Ø
A multiple of every integer
70
A 30-60-90 triangle.

48. What is the intersection of A and B?
The set of elements found in both A and B.
3 - 4 - 5
A<-b
(rate)(time) d=rt

49. 1 is a divisor of
A natural number greater than 1 that has no positive divisors other than 1 and itself
Ø
Every number
Even

50. What is the slope of a vertical line?

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