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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. Is 0 even or odd?
1/a^6
Even
288 (8 9 4)
A tangent is a line that only touches one point on the circumference of a circle.

2. In similar hexagons - the ratio of the areas is 16:25. What is the ratio of their corresponding sides?
441000 = 1 10 10 10 21 * 21
4:5
A natural number greater than 1 that has no positive divisors other than 1 and itself
13pi / 2

3. A prime number (or a prime)
16^8 64^5 = (4^3)^5 = 4^15 16^8=(4^2)^8 = 4^16
441000 = 1 10 10 10 21 * 21
A natural number greater than 1 that has no positive divisors other than 1 and itself
Positive

4. What is a set with no members called?
x^(4+7) = x^11
The empty set - denoted by a circle with a diagonal through it.
$3 -500 in the 9% and $2 -500 in the 7%.
= (actual decrease/Original amount) x100% = 20/100x100% = 20%

5. (x^2)^4
Lies opposite the greater angle
x^(2(4)) =x^8 = (x^4)^2
A=(base)(height)
(rate)(time) d=rt

6. If the two sides of a triangle are unequal then the longer side.................
P= 2L + 2w
Lies opposite the greater angle
3 - -3
1

7. Legs: 3 - 4. Hypotenuse?
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...
5
The sum of the digits is a multiple of 9.
P= 2L + 2w

8. The consecutive angles in a parallelogram equal
180°
The set of output values for a function.
Yes - like radicals can be added/subtracted.
Two angles whose sum is 180.

9. Factor x^2 - xy + x.
The set of elements which can be found in either A or B.
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)
180°

10. Vertical lines
Do not have slopes!
Triangles with same measure and same side lengths.
12sqrt2
2(pi)r

11. Describe the relationship between the graphs of x^2 and (1/2)x^2
When we need to avoid having a zero in the denominator or avoid taking the square root of a number.
The second graph is less steep.
Negative
5

12. 30 60 90
Undefined
71 - 73 - 79
Positive or Negative
x - x(SR3) - 2x

13. What is a percent?
EVEN
441000 = 1 10 10 10 21 * 21
... the square of the ratios of the corresponding sides.
A percent is a fraction whose denominator is 100.

14. What is the relationship between lengths of the sides of a triangle and the measure of the angles of the triangle?
288 (8 9 4)
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.
6
A²+b²=c²

15. The product of any number x and its reciprocal
A= (1/2) b*h
M
1
Negative

16. 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)]?
(rate)(time) d=rt
True
71 - 73 - 79
B?b?b (where b is used as a factor n times)

17. To increase a number by x%
Triangles with same measure and same side lengths.
Multiply by 1+x% i.e. 100 x (1+50%)=100x1.5=150
87.5%
PEMDAS (Parentheses Exponents Multiplication/Division Addition/Subtraction)

18. What is the common monomial factor in the expression 4(c^3)d - (c^2)(d^2) + 2cd?
(12/2) x (sqrt15 / sqrt5) = 6sqrt3
5 OR -5
Cd
x = [(-b)+/- (sqrt b^2 - 4ac)]/2a

19. What is the surface area of a cylinder with radius 5 and height 8?
(base*height) / 2
Triangles with same measure and same side lengths.
10! / 3!(10-3)! = 120
130pi

20. Ø is a multiple of
41 - 43 - 47
x^(4+7) = x^11
(amount of decrease/original price) x 100%
Two (Ø×2=Ø)

21. There are 10 finalists for the school spelling bee. A first - second - and third place trophy will be awarded. How many different people can get the three prizes?
A=pi*(r^2)
10! / 3!(10-3)! = 120
Null
Prime numbers (2 - 3 - 5 - 7 - 11 - 13 - 17 - 19 - 23)

22. What is a tangent?
3 - 4 - 5
x²-y²
A tangent is a line that only touches one point on the circumference of a circle.
X

23. If 10800 is invested at a simple interest rate of 4% - what is the value of the investment after 18 months?
9
$11 -448
D/t (distance)/(time)
67 - 71 - 73

24. If an inequality is multiplied or divided by a negative number....
The direction of the inequality is reversed.
28
2
(p + q)/5

25. Write 10 -843 X 10^7 in scientific notation
Even prime number
1.0843 X 10^11
500
M= (Y1-Y2)/(X1-X2)

26. If r - t - s & u are distinct - consecutive prime numbers - less than 31 - which of the following could be an average of them (4 - 4.25 - 6 - 9 - 24 - 22 - 24)
Positive
3/2 - 5/3
When we need to avoid having a zero in the denominator or avoid taking the square root of a number.
4.25 - 6 - 22

27. What is the graph of f(x) shifted left c units or spaces?
F(x + c)
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 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)
12! / 5!7! = 792

28. 1/8 in percent?
12.5%
500
V=Lwh
28

29. What are the integers?
A=(base)(height)
= 25%. = (actual increase/original amount) x 100% = 20/80 x 100% = 1/4 x 100% = 25%
All numbers multiples of 1.
Null

30. What are complementary angles?
P(E) = number of favorable outcomes/total number of possible outcomes
3
The two xes after factoring.
Two angles whose sum is 90.

31. What is the ratio of the sides of a 30-60-90 triangle?
Yes - like radicals can be added/subtracted.
1:sqrt3:2
Ab-ac
360°

32. formula for volume of a rectangular solid
Negative
P=4s (s=side)
V=l×w×h
All numbers multiples of 1.

33. Consecutive integers
Ab+ac
Two (Ø×2=Ø)
x - x+1 - x+2
Be Zero!

34. Volume of a rectangular box
5
0
V=Lwh
The set of elements found in both A and B.

35. For similar triangles - the ratio of their corresponding sides is 2:3. What is the ratio of their areas?
130pi
Prime numbers (2 - 3 - 5 - 7 - 11 - 13 - 17 - 19 - 23)
288 (8 9 4)
4:9. The ratio of the areas of two similar triangles equals the square of the ratio of the corresponding sides.

36. Factor a^2 + 2ab + b^2
41 - 43 - 47
A set with a number of elements which can be counted.
(a + b)^2
4725

37. In a Rectangle - each angles measures
1 - P(E)
(6 x 2)(sqrt3 x sqrt5) = 12sqrt15
90°
10! / 3!(10-3)! = 120

38. The percent decrease of a quantity
= (actual decrease/Original amount) x 100%
C=2 x pi x r OR pi x D
Ab=k (k is a constant)
Even prime number

39. How to recognize if a # is a multiple of 12
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.)
26
(2x7)³
= (actual decrease/Original amount) x 100%

40. Time
Reciprocal
(distance)/(rate) d/r
Every number
Cd

41. Area of a Parallelogram:
72
A-b is negative
The set of elements which can be found in either A or B.
A=(base)(height)

42. For what values should the domain be restricted for the function f(x) = sqrt(x + 8)
8
3
1
(pi)r²

43. Area of a circle
(x+y)(x-y)
A=pi*(r^2)
An expression with just one term (-6x - 2a^2)
A tangent is a line that only touches one point on the circumference of a circle.

44. 0^0
180°
The sum of digits is divisible by 9.
Undefined
4725

45. (a^-1)/a^5
Lies opposite the greater angle
Ab-ac
The set of elements found in both A and B.
1/a^6

46. What is the maximum value for the function g(x) = (-2x^2) -1?
The graph of 3(x - 1)^2 is a translation (shift) of the graph one unit or space to the right.
2 - 3 - 5 - 7 - 11 - 13 - 17 - 19 - 23 - 29
1
Reciprocal

47. (12sqrt15) / (2sqrt5) =
(12/2) x (sqrt15 / sqrt5) = 6sqrt3
87.5%
B?b?b (where b is used as a factor n times)
1/2 times 7/3

48. 5x^2 - 35x -55 = 0
= (actual decrease/Original amount) x100% = 20/100x100% = 20%
[(7+ sqrt93) /2] - [(7 - sqrt93) / 2]
23 - 29
5 OR -5

49. A quadrilateral where two diagonals bisect each other
Cross multiplication a/b=c/d 4/6=10/15 4(15)=6(10) 60=60
1:1:sqrt2
Parallelogram
Undefined

50. Ø Is
Two (Ø×2=Ø)
NOT A PRIME
An arc is a portion of a circumference of a circle.
EVEN