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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. The negative exponent x?n is equivalent to what?
1/xn i.e. 5^-3 = 1/(5^3) = 1/ 125 = .008
13
41 - 43 - 47
28. n = 8 - k = 2. n! / k!(n-k)!

2. In a Rectangle - each angles measures
y = 2x^2 - 3
X
90°
PEMDAS (Parentheses Exponents Multiplication/Division Addition/Subtraction)

3. If a<b - then
360°
A chord is a line segment joining two points on a circle.
Infinite.
A+c<b+c

4. Define a 'Term' -
When we need to avoid having a zero in the denominator or avoid taking the square root of a number.
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)
9
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.

5. What is a tangent?
A tangent is a line that only touches one point on the circumference of a circle.
Smallest positive integer
An infinite set.
The empty set - denoted by a circle with a diagonal through it.

6. What is the graph of f(x) shifted upward c units or spaces?
Two equal sides and two equal angles.
288 (8 9 4)
180°
F(x) + c

7. What is the name for a grouping of the members within a set based on a shared characteristic?
62.5%
Negative
A subset.
10

8. What is the set of elements found in both A and B?
The interesection of A and B.
12! / 5!7! = 792
5 - 12 - 13
Undefined

9. What are the members or elements of a set?
10! / (10-3)! = 720
Undefined
360°
The objects within a set.

10. The Perimeter of a rectangle
C=2 x pi x r OR pi x D
Positive
x²-2xy+y²
P=2(l+w)

11. What is the 'Solution' for a system of linear equations?
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)
The point of intersection of the systems.
71 - 73 - 79
Relationship cannot be determined (what if x is negative?)

12. If 8 schools are in a conference - how many games are played if each team plays each other exactly once?
3
28. n = 8 - k = 2. n! / k!(n-k)!
M= (Y1-Y2)/(X1-X2)
NOT A PRIME

13. What are the roots of the quadrinomial x^2 + 2x + 1?
The two xes after factoring.
4725
1 - 4 - 9 - 16 - 25 - 36 - 49 - 64 - 81 - 100 - 121 - 144 - 169 - 196 - 225
Multiply by 1+x% i.e. 100 x (1+50%)=100x1.5=150

14. The important properties of a 45-45-90 triangle?
The direction of the inequality is reversed.
The shortest arc between points A and B on a circle'S diameter.
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.

15. Can you add sqrt 3 and sqrt 5?
180 degrees
37.5%
No - only like radicals can be added.
P=4s (s=side)

16. a(b-c)
Ab-ac
[(7+ sqrt93) /2] - [(7 - sqrt93) / 2]
D/t (distance)/(time)
(a - b)^2

17. A number is divisible by 6 if...
6 : 1 : 2
(a + b)^2
16^8 64^5 = (4^3)^5 = 4^15 16^8=(4^2)^8 = 4^16
Its divisible by 2 and by 3.

18. What does scientific notation mean?
31 - 37
90
Expressing a number as the product of a decimal between 1 and 10 - and a power of 10.
Multiply by 1+x% i.e. 100 x (1+50%)=100x1.5=150

19. For what values should the domain be restricted for the function f(x) = sqrt(x + 8)
4:5
8
2²
Yes - like radicals can be added/subtracted.

20. Ø is a multiple of
Two (Ø×2=Ø)
(a - b)(a + b)
zero
1:1:sqrt2

21. Simplify (a^2 + b)^2 - (a^2 - b)^2
Positive
4a^2(b)
P=2(l+w)
The direction of the inequality is reversed.

22. Ø divided by 7
Ø
(n-2) x 180
zero
P(E) = number of favorable outcomes/total number of possible outcomes

23. Slope
6
x²-2xy+y²
A<-b
y2-y1/x2-x1

24. Simplify 4sqrt21 X 5sqrt2 / 10sqrt7
M
Circumference = Diameter(pi). Use pythagorean theorem to find the diagonal of the square (the diameter).
2sqrt6
1

25. 3/8 in percent?
37.5%
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.
Positive
Ab-ac

26. 5 bakeries sell an average of 300 muffins per bakery per day. If 2 stop making muffins but the total muffins sold stays the same - what is the average of muffins per bakery sold among the remaining?
(x+y)(x+y)
8
500
V=Lwh

27. How many digits are there between the decimal point and the first even digit in the decimal equivalent of 1/[(2^8)(5^3)]
A = pi(r^2)
(amount of decrease/original price) x 100%
0
18

28. Slope given 2 points
M= (Y1-Y2)/(X1-X2)
The union of A and B.
6 : 1 : 2
Ø

29. To multiply a number by 10^x
Move the decimal point to the right x places
12sqrt2
A set with no members - denoted by a circle with a diagonal through it.
B?b?b (where b is used as a factor n times)

30. In any polygon - all external angles equal up to
4:9. The ratio of the areas of two similar triangles equals the square of the ratio of the corresponding sides.
360°
3
1/xn i.e. 5^-3 = 1/(5^3) = 1/ 125 = .008

31. A quadrilateral where two diagonals bisect each other
1
16.6666%
Parallelogram
The interesection of A and B.

32. From a box of 12 candles - you are to remove 5. How many different sets of 5 candles could you remove?
12! / 5!7! = 792
90°
130pi
P(E) = 1/1 = 1

33. Volume of a cube
Null
F(x) + c
Pi(diameter)
Edge³

34. If a is negative and n is even then an is (positive or negative?)
An is positive
A reflection about the axis.
12sqrt2
180 degrees

35. If the two sides of a triangle are unequal then the longer side.................
(b + c)
Lies opposite the greater angle
The sum of digits is divisible by 9.
A = length x width

36. Can you simplify sqrt72?
67 - 71 - 73
Every number
Yes - because you can factor out a perfect square (36). Sqrt(36 x 2) = sqrt36 X sqrt2 = 6sqrt2.
The set of input values for a function.

37. In a Regular Polygon - the measure of each exterior angle
... the square of the ratios of the corresponding sides.
360/n
An arc is a portion of a circumference of a circle.
y2-y1/x2-x1

38. If a is positive - an is
B?b?b (where b is used as a factor n times)
A central angle is an angle formed by 2 radii.
1
Positive

39. Ø Is neither
Positive or Negative
NOT A PRIME
41 - 43 - 47
2.592 kg

40. What are the smallest three prime numbers greater than 65?
Even prime number
67 - 71 - 73
A tangent is a line that only touches one point on the circumference of a circle.
3 - 4 - 5

41. A cylinder has surface area 22pi. If the cylinder has a height of 10 - what is its radius?
1
$3 -500 in the 9% and $2 -500 in the 7%.
= (actual decrease/Original amount) x 100%
C = 2(pi)r

42. 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?
2 & 3/7
75:11
(pi)r²
2.592 kg

43. Pi is a ratio of what to what?

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44. The sum of the measures of the n angles in a polygon with n sides
(b + c)
The interesection of A and B.
(n-2) x 180
A<-b

45. the measure of a straight angle
Prime numbers (2 - 3 - 5 - 7 - 11 - 13 - 17 - 19 - 23)
180°
Factors are few - multiples are many.
72

46. If 10800 is invested at a simple interest rate of 4% - what is the value of the investment after 18 months?
$11 -448
9 : 25
A=(base)(height)
A central angle is an angle formed by 2 radii.

47. If 4500 is invested at a simple interest rate of 6% - what is the value of the investment after 10 months?
72
4725
V=Lwh
3/2 - 5/3

48. What is the graph of f(x) shifted right c units or spaces?
The sum of the digits is a multiple of 9.
Every number
F(x-c)
A reflection about the origin.

49. factored binomial product of (x-y)²
x²-2xy+y²
500
4:9. The ratio of the areas of two similar triangles equals the square of the ratio of the corresponding sides.
The union of A and B.

50. What is the coefficient of the x^2 term in the product of (x + 1)(x + 2)(x -1)?
12! / 5!7! = 792
P(E) = ø
2
9