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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. Vertical lines
Add them. i.e. (5^7) * (5^3) = 5^10
90pi
500
Do not have slopes!

2. 1:1:sqrt2 is the ratio of the sides of what kind of triangle?
An isosceles right triangle.
1 - P(E)
(pi)r²
The shortest arc between points A and B on a circle'S diameter.

3. In a triangle where the two legs are 4 and 3 - what is the value of a line directly intersecting the middle coming from the meeting point of the two legs?
1
The sum of its digits is divisible by 3.
180
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

4. What is a tangent?
A tangent is a line that only touches one point on the circumference of a circle.
90
N! / (k!)(n-k)!
A set with no members - denoted by a circle with a diagonal through it.

5. a>b then a - b is positive or negative?
A-b is positive
[(7+ sqrt93) /2] - [(7 - sqrt93) / 2]
P(E) = number of favorable outcomes/total number of possible outcomes
All numbers multiples of 1.

6. What is the set of elements which can be found in either A or B?
A=½bh
The sum of digits is divisible by 9.
The union of A and B.
5

7. Formula to find a circle'S circumference from its diameter?
C = (pi)d
Cd
12.5%
75:11

8. Factor x^2 - xy + x.
x(x - y + 1)
28. n = 8 - k = 2. n! / k!(n-k)!
11 - 13 - 17 - 19
C = 2(pi)r

9. If a is negative and n is even then an is (positive or negative?)
10! / 3!(10-3)! = 120
Distance=rate×time or d=rt
13pi / 2
An is positive

10. A number is divisible by 4 is...
Negative
Its last two digits are divisible by 4.
(b + c)
12sqrt2

11. What is the 'Range' of a series of numbers?
Lies opposite the greater angle
The greatest value minus the smallest.
ODD number
A set with a number of elements which can be counted.

12. Ø divided by 7
3
Ø
1/2 times 7/3
72

13. What is the slope of a horizontal line?
Subtract them. i.e (5^7)/(5^3)= 5^4
A chord is a line segment joining two points on a circle.
0
3 - 4 - 5

14. Positive integers that have exactly 2 positive divisors are
1/xn i.e. 5^-3 = 1/(5^3) = 1/ 125 = .008
13pi / 2
27^(-4)
Prime numbers (2 - 3 - 5 - 7 - 11 - 13 - 17 - 19 - 23)

15. (2²)³
180 degrees
26
A-b is negative
9 : 25

16. 60 < all primes <70
EVEN
(n-2) x 180
61 - 67
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)

17. What is the graph of f(x) shifted left c units or spaces?
Undefined
P(E) = number of favorable outcomes/total number of possible outcomes
F(x + c)
y2-y1/x2-x1

18. From a box of 12 candles - you are to remove 5. How many different sets of 5 candles could you remove?
Can be negative - zero - or positive
An isosceles right triangle.
[(7+ sqrt93) /2] - [(7 - sqrt93) / 2]
12! / 5!7! = 792

19. Evaluate 4/11 + 11/12
Even prime number
zero
1 & 37/132
72

20. 2³×7³
1 & 37/132
(2x7)³
27^(-4)
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.

21. What is the ratio of the surface area of a cube with an edge of 10 to the surface area of a rectangular solid with dimensions 2 - 4 - and 6?
75:11
37.5%
72
Factors are few - multiples are many.

22. There are 10 finalists for the school spelling bee. A first - second - and third place trophy will be awarded. In how many ways can the judges award the 3 prizes?
18
10! / (10-3)! = 720
(n-2) x 180
1/xn i.e. 5^-3 = 1/(5^3) = 1/ 125 = .008

23. What is the order of operations?
A=(base)(height)
C = 2(pi)r
PEMDAS (Parentheses Exponents Multiplication/Division Addition/Subtraction)
x^(4+7) = x^11

24. (x^2)^4
x^(2(4)) =x^8 = (x^4)^2
1
x²-y²
3 - -3

25. Formula to calculate arc length?
x^(4+7) = x^11
V=Lwh
(b + c)
Arc length = (n/360) x pi(2r) where n is the number of degrees.

26. Simplify (a^2 + b)^2 - (a^2 - b)^2
180
Ø Ø=Ø
10! / (10-3)! = 720
4a^2(b)

27. What are the irrational numbers?

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28. Find the surface area of a cylinder with radius 3 and height 12.
(b + c)
10
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
90pi

29. a^0 =
1
500
x^(6-3) = x^3
7 / 1000

30. The reciprocal of any non-zero number is
Cd
EVEN
F(x) - c
1/x

31. 2 is the only
1/x
Even prime number
288 (8 9 4)
Pi(diameter)

32. 6w^2 - w - 15 = 0
Yes - like radicals can be added/subtracted.
3/2 - 5/3
x²+2xy+y²
A<-b

33. Convert 0.7% to a fraction.
62.5%
7 / 1000
V=Lwh
x²-2xy+y²

34. The larger the absolute value of the slope...
1/x
The steeper the slope.
1.0843 X 10^11
12.5%

35. 10^6 has how many zeroes?
A chord is a line segment joining two points on a circle.
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)
180
6

36. If Event is impossible
angle that is greater than 90° but less than 180°
P(E) = ø
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)
1:sqrt3:2

37. Describe the relationship between 3x^2 and 3(x - 1)^2
8
The graph of 3(x - 1)^2 is a translation (shift) of the graph one unit or space to the right.
(a - b)(a + b)
16.6666%

38. What are the roots of the quadrinomial x^2 + 2x + 1?
The two xes after factoring.
9 : 25
Multiply by 1+x% i.e. 100 x (1+50%)=100x1.5=150
Null

39. Simplify 9^(1/2) X 4^3 X 2^(-6)?
Ø
500
53 - 59
3

40. 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?
1:sqrt3:2
$11 -448
4:5
10! / 3!(10-3)! = 120

41. 30 60 90
[(7+ sqrt93) /2] - [(7 - sqrt93) / 2]
Undefined
3 - 4 - 5
.0004809 X 10^11

42. 20<all primes<30
23 - 29
72
x = [(-b)+/- (sqrt b^2 - 4ac)]/2a
A = pi(r^2)

43. 30 60 90
x²-2xy+y²
x - x(SR3) - 2x
(a - b)(a + b)
Right

44. 3 is the opposite of
Two (Ø×2=Ø)
D=rt so r= d/t and t=d/r
A set with no members - denoted by a circle with a diagonal through it.
3

45. Ratio of ages of Anna and Emma is 3:5 and of Emma and Nicolas is 3:5. What is the ratio of Anna to Nicholas' ages?
7 / 1000
55%
9 : 25
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)

46. What is a minor arc?

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47. Ø²
4:9. The ratio of the areas of two similar triangles equals the square of the ratio of the corresponding sides.
2.592 kg
Ø
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.

48. What is an arc of a circle?
angle that is greater than 90° but less than 180°
An arc is a portion of a circumference of a circle.
(pi)r²
Undefined - because we can'T divide by 0.

49. A number is divisible by 6 if...
Its divisible by 2 and by 3.
37.5%
The set of output values for a function.
Pi(diameter)

50. In any polygon - all external angles equal up to
A natural number greater than 1 that has no positive divisors other than 1 and itself
Move the decimal point to the right x places
48
360°