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GRE Math: All In One

Subjects : gre, math

Instructions:

Answer 50 questions in 15 minutes.
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Match each statement with the correct term.
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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. a<b then a - b is positive or negative?
83.333%
1.0843 X 10^11
A-b is negative
D=rt so r= d/t and t=d/r

2. Employee X is paid 19.50 per hour no matter how many a week. Employee Y earns 18 for the first 40 and 1.5 the hourly wage for every hour after that. If both earned the same amount and worked the same in one week - how many did each work?
The shortest arc between points A and B on a circle'S diameter.
x²+2xy+y²
48
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

3. The objects in a set are called two names:
Ø
A set with no members - denoted by a circle with a diagonal through it.
x^(2(4)) =x^8 = (x^4)^2
Members or elements

4. What are congruent triangles?
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.
Triangles with same measure and same side lengths.
The overlapping sections.
Two equal sides and two equal angles.

5. The percent decrease of a quantity
A percent is a fraction whose denominator is 100.
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)
= (actual decrease/Original amount) x 100%
Two equal sides and two equal angles.

6. What is the 'domain' of a function?
EVEN
1/2 times 7/3
The set of input values for a function.
F(x) - c

7. Whats the difference between factors and multiples?
Edge³
12! / 5!7! = 792
Factors are few - multiples are many.
An infinite set.

8. Evaluate 3& 2/7 / 1/3
y = 2x^2 - 3
The objects within a set.
41 - 43 - 47
9 & 6/7

9. Circumference of a Circle
x²-y²
C=2 x pi x r OR pi x D
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)
(p + q)/5

10. The four angles around a point measure y - 2y - 35 and 55 respectively. What is the value of y?
37.5%
90
9
7 / 1000

11. a^2 - 2ab + b^2
x²-2xy+y²
Right
(a - b)^2
The steeper the slope.

12. Probability of an Event
72
P(E) = number of favorable outcomes/total number of possible outcomes
Indeterminable.
52

13. 1/2 divided by 3/7 is the same as
A<-b
An is positive
1/2 times 7/3
4725

14. 40 < all primes<50
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.)
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...
41 - 43 - 47
= (actual decrease/Original amount) x 100%

15. In similar hexagons - the ratio of the areas is 16:25. What is the ratio of their corresponding sides?
2sqrt6
4:5
an angle that is less than 90°
Its divisible by 2 and by 3.

16. What is the 'Solution' for a set of inequalities.
The overlapping sections.
Null
F(x + c)
Ø

17. If 4500 is invested at a simple interest rate of 6% - what is the value of the investment after 10 months?
4725
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...
6
83.333%

18. What is the relationship between lengths of the sides of a triangle and the measure of the angles of the triangle?
3
Add them. i.e. (5^7) * (5^3) = 5^10
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.
Undefined - because we can'T divide by 0.

19. What are the roots of the quadrinomial x^2 + 2x + 1?
The two xes after factoring.
28
F(x) + c
V=l×w×h

20. Which is greater? 200x^295 or 10x^294?
3/2 - 5/3
NOT A PRIME
Relationship cannot be determined (what if x is negative?)
Pi is the ratio of a circle'S circumference to its diameter.

21. How to determine percent decrease?
The overlapping sections.
Yes - like radicals can be added/subtracted.
Cd
(amount of decrease/original price) x 100%

22. the slope of a line in y=mx+b
M
x²+2xy+y²
Undefined
Expressing a number as the product of a decimal between 1 and 10 - and a power of 10.

23. The Denominator can never
x²+2xy+y²
x²-y²
The sum of digits is divisible by 9.
Be Zero!

24. factored binomial product of (x-y)²
67 - 71 - 73
A subset.
Cd
x²-2xy+y²

25. Vertical lines
Be Zero!
Its divisible by 2 and by 3.
A reflection about the origin.
Do not have slopes!

26. What is a finite set?
(a + b)^2
A set with a number of elements which can be counted.
55%
The steeper the slope.

27. What is the 'union' of A and B?
F(x-c)
The set of elements which can be found in either A or B.
= 25%. = (actual increase/original amount) x 100% = 20/80 x 100% = 1/4 x 100% = 25%
C = 2(pi)r

28. Can you add sqrt 3 and sqrt 5?
No - only like radicals can be added.
10
C=2 x pi x r OR pi x D
3 - -3

29. Formula to find a circle'S circumference from its diameter?
= (actual decrease/Original amount) x 100%
C = (pi)d
Yes - like radicals can be added/subtracted.
Positive

30. Probability of E not occurring:
Cd
10
1 - P(E)
Right

31. What are complementary angles?
Ab-ac
zero
Relationship cannot be determined (what if x is negative?)
Two angles whose sum is 90.

32. A company places a 6-symbol code on each product. The code consists of the letter T - followed by 3 numerical digits - and then 2 consonants (Y is a conson). How many codes are possible?
(distance)/(rate) d/r
y = 2x^2 - 3
Every number
441000 = 1 10 10 10 21 * 21

33. 1 is a divisor of
A grouping of the members within a set based on a shared characteristic.
x - x(SR3) - 2x
180
Every number

34. How to recognize a multiple of 6
Even prime number
Sum of digits is a multiple of 3 and the last digit is even.
1:sqrt3:2
= 25%. = (actual increase/original amount) x 100% = 20/80 x 100% = 1/4 x 100% = 25%

35. 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?
A chord is a line segment joining two points on a circle.
1/2 times 7/3
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
Arc length = (n/360) x pi(2r) where n is the number of degrees.

36. What is the slope of a horizontal line?
2.592 kg
0
180°
Yes - like radicals can be added/subtracted.

37. Define a 'Term' -
Negative
A set with no members - denoted by a circle with a diagonal through it.
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)
Sector area = (n/360) X (pi)r^2

38. -3²
9
Its divisible by 2 and by 3.
Ø
71 - 73 - 79

39. Distance
90°
Straight Angle
The direction of the inequality is reversed.
(rate)(time) d=rt

40. What is the ratio of the sides of an isosceles right triangle?
B?b?b (where b is used as a factor n times)
1:1:sqrt2
75:11
83.333%

41. How to recognize a # as a multiple of 3
P=2(l+w)
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)
3
0

42. Important properties of a 30-60-90 triangle?
When we need to avoid having a zero in the denominator or avoid taking the square root of a number.
Positive or Negative
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
X

43. 20<all primes<30
23 - 29
A = pi(r^2)
4.25 - 6 - 22
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)

44. Slope
x^(4+7) = x^11
90pi
A set with a number of elements which can be counted.
y2-y1/x2-x1

45. If a lamp increases from $80 to $100 - what is the percent increase?
x^(6-3) = x^3
True
= 25%. = (actual increase/original amount) x 100% = 20/80 x 100% = 1/4 x 100% = 25%
90°

46. Slope given 2 points
12.5%
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.)
M= (Y1-Y2)/(X1-X2)
y = 2x^2 - 3

47. In any polygon - all external angles equal up to
A = length x width
A 30-60-90 triangle.
360°
(amount of decrease/original price) x 100%

48. Rate
The shortest arc between points A and B on a circle'S diameter.
(2x7)³
All real numbers which can'T be expressed as a ratio of two integers - positive and negative (pi - -sqrt3)
D/t (distance)/(time)

49. 2 is the only
Even prime number
0
8
1/2 times 7/3

50. What is the graph of f(x) shifted right c units or spaces?
Cd
87.5%
10! / 3!(10-3)! = 120
F(x-c)

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GRE Math: All In One

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