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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. bn
B?b?b (where b is used as a factor n times)
x²+2xy+y²
(a - b)^2
360°

2. If a is negative and n is even then an is (positive or negative?)
An is positive
Relationship cannot be determined (what if x is negative?)
Even
4.25 - 6 - 22

3. 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?
C = (pi)d
An arc is a portion of a circumference of a circle.
x²-2xy+y²
N! / (n-k)!

4. Product of any number and Ø is
Ø
(b + c)
Yes - like radicals can be added/subtracted.
Triangles with same measure and same side lengths.

5. What is an exterior angle?
An arc is a portion of a circumference of a circle.
NOT A PRIME
Ab+ac
An angle which is supplementary to an interior angle.

6. 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 - b)^2
6 : 1 : 2
$3 -500 in the 9% and $2 -500 in the 7%.
Diameter(Pi)

7. When dividing exponential #s with the same base - you do this to the exponents...
angle that is greater than 90° but less than 180°
Subtract them. i.e (5^7)/(5^3)= 5^4
= (actual decrease/Original amount) x 100%
A natural number greater than 1 that has no positive divisors other than 1 and itself

8. What are the roots of the quadrinomial x^2 + 2x + 1?
1
Undefined - because we can'T divide by 0.
9 : 25
The two xes after factoring.

9. (x-y)²
Do not have slopes!
x²-2xy+y²
The interesection of A and B.
61 - 67

10. binomial product of (x+y)(x-y)
x²-y²
5 - 12 - 13
An arc is a portion of a circumference of a circle.
True

11. 1/8 in percent?
12.5%
Factors are few - multiples are many.
180°
A 30-60-90 triangle.

12. Define a 'monomial'
Even prime number
An expression with just one term (-6x - 2a^2)
angle that is greater than 90° but less than 180°
A 30-60-90 triangle.

13. An Angle that'S 180°
67 - 71 - 73
A 30-60-90 triangle.
Straight Angle
A subset.

14. Reduce: 4.8 : 0.8 : 1.6
6 : 1 : 2
A chord is a line segment joining two points on a circle.
Right
Two (Ø×2=Ø)

15. (12sqrt15) / (2sqrt5) =
(12/2) x (sqrt15 / sqrt5) = 6sqrt3
67 - 71 - 73
(a + b)^2
The set of elements which can be found in either A or B.

16. A cylinder has surface area 22pi. If the cylinder has a height of 10 - what is its radius?
28
1
Two equal sides and two equal angles.
A subset.

17. 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
62.5%
M= (Y1-Y2)/(X1-X2)

18. What is the 'Range' of a function?
Pi(diameter)
The set of output values for a function.
27
angle that is greater than 90° but less than 180°

19. In any polygon - all external angles equal up to
Null
16^8 64^5 = (4^3)^5 = 4^15 16^8=(4^2)^8 = 4^16
360°
Prime numbers (2 - 3 - 5 - 7 - 11 - 13 - 17 - 19 - 23)

20. 5/6 in percent?
83.333%
Cd
No - only like radicals can be added.
2(pi)r

21. What is the graph of f(x) shifted upward c units or spaces?
F(x) + c
Positive
[(7+ sqrt93) /2] - [(7 - sqrt93) / 2]
5

22. 0^0
Right
Undefined
Even prime number
Distance=rate×time or d=rt

23. If a is inversely porportional to b - what does it equal?
Ab=k (k is a constant)
A tangent is a line that only touches one point on the circumference of a circle.
2²
X

24. 1 is an
(a - b)(a + b)
Positive
Positive
ODD number

25. a^0 =
x^(4+7) = x^11
72
1
16.6666%

26. Slope of any line that goes up from left to right
90
Positive
28
(pi)r²

27. 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)]?
180
360°
The sum of the digits is a multiple of 9.
True

28. How many multiples does a given number have?
2 & 3/7
1/a^6
Infinite.
(distance)/(rate) d/r

29. Slope given 2 points
1/x
D=rt so r= d/t and t=d/r
M= (Y1-Y2)/(X1-X2)
x²-2xy+y²

30. Define a 'Term' -
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)
Negative
M= (Y1-Y2)/(X1-X2)
Undefined

31. Circumference of a circle
C = 2(pi)r
2(pi)r
180°
Straight Angle

32. Volume of a rectangular box
2 & 3/7
Circumference = Diameter(pi). Use pythagorean theorem to find the diagonal of the square (the diameter).
V=Lwh
Do not have slopes!

33. What is the area of a regular hexagon with side 6?
= (actual decrease/Original amount) x 100%
P(E) = ø
4096
54sqrt3. (divide the hexagon into 6 congruent equilateral triangles.

34. How to find the circumference of a circle which circumscribes a square?
Null
Circumference = Diameter(pi). Use pythagorean theorem to find the diagonal of the square (the diameter).
(b + c)
Even prime number

35. Circumference of a circle?
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.)
Diameter(Pi)
The direction of the inequality is reversed.
Edge³

36. First 10 prime #s
2 - 3 - 5 - 7 - 11 - 13 - 17 - 19 - 23 - 29
x - x+1 - x+2
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...
The shortest arc between points A and B on a circle'S diameter.

37. How many digits are there between the decimal point and the first even digit in the decimal equivalent of 1/[(2^8)(5^3)]
Null
C=2 x pi x r OR pi x D
0
18

38. What is a central angle?
The sum of the digits is a multiple of 9.
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 - 4 - 9 - 16 - 25 - 36 - 49 - 64 - 81 - 100 - 121 - 144 - 169 - 196 - 225
A central angle is an angle formed by 2 radii.

39. One is (a prime or not?)
NOT A PRIME
1.0843 X 10^11
12! / 5!7! = 792
12.5%

40. 20<all primes<30
23 - 29
True
2.592 kg
Pi(diameter)

41. Can you add sqrt 3 and sqrt 5?
An is positive
No - only like radicals can be added.
A=(base)(height)
27^(-4)

42. factored binomial product of (x-y)²
Smallest positive integer
12! / 5!7! = 792
20.5
x²-2xy+y²

43. If a<b - then
12! / 5!7! = 792
Lies opposite the greater angle
1 - P(E)
A+c<b+c

44. The Denominator can never
Sum of digits is a multiple of 3 and the last digit is even.
360/n
Do not have slopes!
Be Zero!

45. Rate
A tangent is a line that only touches one point on the circumference of a circle.
Yes - because you can factor out a perfect square (36). Sqrt(36 x 2) = sqrt36 X sqrt2 = 6sqrt2.
2sqrt6
D/t (distance)/(time)

46. What is the name of set with a number of elements which cannot be counted?
1/2 times 7/3
F(x + c)
y2-y1/x2-x1
An infinite set.

47. a/Ø
P= 2L + 2w
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)
Null
55%

48. Suppose that the graph of f(x) is the result of stretching y=x + 5 away from the x-axis by a factor of 2. What is the new equation for the graph f(x)?
1:sqrt3:2
(p + q)/5
y = (x + 5)/2
12.5%

49. What is an isoceles triangle?
A=½bh
Two equal sides and two equal angles.
x^(6-3) = x^3
y = (x + 5)/2

50. (a^-1)/a^5
Smallest positive integer
Diameter(Pi)
1/a^6
C = 2(pi)r