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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. Area of a triangle?
A natural number greater than 1 that has no positive divisors other than 1 and itself
(base*height) / 2
180°
87.5%

2. A number is divisible by 3 if ...
180°
13pi / 2
Sum of digits is a multiple of 3 and the last digit is even.
The sum of its digits is divisible by 3.

3. What is the set of elements which can be found in either A or B?
M= (Y1-Y2)/(X1-X2)
The union of A and B.
1:sqrt3:2
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)

4. 30< all primes<40
16.6666%
31 - 37
1/x
A²+b²=c²

5. Ø divided by 7
31 - 37
Ø=P(E)=1
2 & 3/7
Ø

6. Slope
y2-y1/x2-x1
87.5%
9 : 25
N! / (n-k)!

7. Define an 'expression'.
(distance)/(rate) d/r
N! / (n-k)!
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)
1:sqrt3:2

8. What are the roots of the quadrinomial x^2 + 2x + 1?
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.
x²-2xy+y²
The two xes after factoring.
Indeterminable.

9. What is an arc of a circle?
180
(distance)/(rate) d/r
An arc is a portion of a circumference of a circle.
(amount of decrease/original price) x 100%

10. 30 60 90
9 & 6/7
3 - 4 - 5
The steeper the slope.
The set of output values for a function.

11. Area of a triangle
A= (1/2) b*h
2²
1
37.5%

12. binomial product of (x+y)²
Subtract them. i.e (5^7)/(5^3)= 5^4
12sqrt2
x²+2xy+y²
(x+y)(x+y)

13. Factor x^2 - xy + x.
10
C = 2(pi)r
x(x - y + 1)
2²

14. Consecutive integers
87.5%
2^9 / 2 = 256
83.333%
x - x+1 - x+2

15. How many multiples does a given number have?
(a - b)(a + b)
(2x7)³
.0004809 X 10^11
Infinite.

16. Evaluate 3& 2/7 / 1/3
1/x
27
C = (pi)d
9 & 6/7

17. the slope of a line in y=mx+b
NOT A PRIME
A= (1/2) b*h
M
1.0843 X 10^11

18. (x+y)²
x²+2xy+y²
A=(base)(height)
x - x(SR3) - 2x
A reflection about the origin.

19. Suppose that the graph of f(x) is the result of sliding the graph of y=2x^2 down 3 units of spaces. What is the new equation?
All numbers multiples of 1.
441000 = 1 10 10 10 21 * 21
y = 2x^2 - 3
(amount of decrease/original price) x 100%

20. If 8 schools are in a conference - how many games are played if each team plays each other exactly once?
16.6666%
(b + c)
28. n = 8 - k = 2. n! / k!(n-k)!
V=Lwh

21. Nine coins are tossed simultaneously. In how many of the outcomes will the fourth coin tossed show heads?
2^9 / 2 = 256
10! / (10-3)! = 720
y2-y1/x2-x1
C = 2(pi)r

22. If Event is impossible
A=(base)(height)
1:sqrt3:2
16^8 64^5 = (4^3)^5 = 4^15 16^8=(4^2)^8 = 4^16
P(E) = ø

23. The four angles around a point measure y - 2y - 35 and 55 respectively. What is the value of y?
90
90pi
Circumference = Diameter(pi). Use pythagorean theorem to find the diagonal of the square (the diameter).
Even

24. When does a function automatically have a restricted domain (2)?
Right
7 / 1000
An angle which is supplementary to an interior angle.
When we need to avoid having a zero in the denominator or avoid taking the square root of a number.

25. The negative exponent x?n is equivalent to what?
(base*height) / 2
1/xn i.e. 5^-3 = 1/(5^3) = 1/ 125 = .008
500
87.5%

26. a>b then a - b is positive or negative?
0
[(7+ sqrt93) /2] - [(7 - sqrt93) / 2]
F(x-c)
A-b is positive

27. 5/8 in percent?
62.5%
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)
A reflection about the origin.
No - only like radicals can be added.

28. In similar hexagons - the ratio of the areas is 16:25. What is the ratio of their corresponding sides?
B?b?b (where b is used as a factor n times)
0
y = 2x^2 - 3
4:5

29. 5/6 in percent?
13
A multiple of every integer
83.333%
The empty set - denoted by a circle with a diagonal through it.

30. The sum of all angles around a point
The sum of digits is divisible by 9.
12.5%
An infinite set.
360°

31. Area of a circle
P(E) = ø
A=pi*(r^2)
1
1.7

32. The perimeter of a square is 48 inches. The length of its diagonal is:
Two angles whose sum is 180.
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.)
1/a^6
12sqrt2

33. Simplify the expression [(b^2 - c^2) / (b - c)]
(b + c)
P(E) = number of favorable outcomes/total number of possible outcomes
11 - 13 - 17 - 19
Members or elements

34. What is the name for a grouping of the members within a set based on a shared characteristic?
V=side³
52
Even prime number
A subset.

35. Circumference of a circle
The two xes after factoring.
Pi(diameter)
Move the decimal point to the right x places
The objects within a set.

36. What is a subset?
(b + c)
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)
1/a^6
A grouping of the members within a set based on a shared characteristic.

37. A brick with dimensions 10. 15 and 25 weighs 1.5 kg. A second brick (same density) has dimensions 12 - 18 - and 30. What is the weight of the second brick?
2.592 kg
Cross multiplication a/b=c/d 4/6=10/15 4(15)=6(10) 60=60
The two xes after factoring.
The interesection of A and B.

38. What is the ratio of the sides of a 30-60-90 triangle?
1 - 4 - 9 - 16 - 25 - 36 - 49 - 64 - 81 - 100 - 121 - 144 - 169 - 196 - 225
1:sqrt3:2
9 : 25
Ab-ac

39. P and r are factors of 100. What is greater - pr or 100?
Even prime number
Indeterminable.
The set of output values for a function.
1.0843 X 10^11

40. a^2 - 2ab + b^2
4725
$3 -500 in the 9% and $2 -500 in the 7%.
= (actual decrease/Original amount) x 100%
(a - b)^2

41. Circumference of a circle
Add them. i.e. (5^7) * (5^3) = 5^10
2(pi)r
A reflection about the axis.
P= 2L + 2w

42. Perfect Squares 1-15
1 - 4 - 9 - 16 - 25 - 36 - 49 - 64 - 81 - 100 - 121 - 144 - 169 - 196 - 225
The set of elements which can be found in either A or B.
4725
A= (1/2) b*h

43. Time
An angle which is supplementary to an interior angle.
(distance)/(rate) d/r
2(pi)r
Right

44. 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?
A=(base)(height)
12! / 5!7! = 792
$3 -500 in the 9% and $2 -500 in the 7%.
F(x-c)

45. If 4500 is invested at a simple interest rate of 6% - what is the value of the investment after 10 months?
The two xes after factoring.
4725
A+c<b+c
EVEN

46. 1n
P=2(l+w)
1
All numbers multiples of 1.
Move the decimal point to the right x places

47. The ratio of the areas of two similar polygons is ...
Negative
The objects within a set.
The set of input values for a function.
... the square of the ratios of the corresponding sides.

48. In a rectangle - all angles are
An angle which is supplementary to an interior angle.
Infinite.
Right
The greatest value minus the smallest.

49. a^2 + 2ab + b^2
The direction of the inequality is reversed.
(a + b)^2
Reciprocal
1

50. What is the common monomial factor in the expression 4(c^3)d - (c^2)(d^2) + 2cd?
Cd
= (actual decrease/Original amount) x100% = 20/100x100% = 20%
180°
Triangles with same measure and same side lengths.