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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. Circumference of a circle?
61 - 67
C = (pi)d
Diameter(Pi)
Edge³

2. formula for area of a triangle
An expression with just one term (-6x - 2a^2)
A=½bh
61 - 67
The interesection of A and B.

3. 2³×7³
The sum of digits is divisible by 9.
(2x7)³
Cd
The set of input values for a function.

4. What is an isoceles triangle?
Two (Ø×2=Ø)
Two equal sides and two equal angles.
90pi
1/2 times 7/3

5. -3²
No - only like radicals can be added.
The sum of its digits is divisible by 3.
y = (x + 5)/2
9

6. What is a finite set?
D/t (distance)/(time)
Positive
20.5
A set with a number of elements which can be counted.

7. A number is divisible by 3 if ...
Sector area = (n/360) X (pi)r^2
Add them. i.e. (5^7) * (5^3) = 5^10
The sum of its digits is divisible by 3.
Do not have slopes!

8. Find the surface area of a cylinder with radius 3 and height 12.
90pi
PEMDAS (Parentheses Exponents Multiplication/Division Addition/Subtraction)
(p + q)/5
Do not have slopes!

9. If an inequality is multiplied or divided by a negative number....
x²+2xy+y²
The direction of the inequality is reversed.
B?b?b (where b is used as a factor n times)
Subtract them. i.e (5^7)/(5^3)= 5^4

10. Legs: 3 - 4. Hypotenuse?
A 30-60-90 triangle.
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)
5
A subset.

11. If a lamp increases from $80 to $100 - what is the percent increase?
Right
(n-2) x 180
61 - 67
= 25%. = (actual increase/original amount) x 100% = 20/80 x 100% = 1/4 x 100% = 25%

12. Whats the difference between factors and multiples?
72
288 (8 9 4)
Null
Factors are few - multiples are many.

13. An Angle that'S 180°
Straight Angle
Its last two digits are divisible by 4.
C = 2(pi)r
67 - 71 - 73

14. What is it called when a point is reflected to the quadrant opposite it (i.e. I to III or II to IV)?
x - x(SR3) - 2x
83.333%
.0004809 X 10^11
A reflection about the origin.

15. a(b+c)
Pi(diameter)
Ab+ac
Lies opposite the greater angle
12.5%

16. Which is greater? 64^5 or 16^8
y = 2x^2 - 3
Every number
16^8 64^5 = (4^3)^5 = 4^15 16^8=(4^2)^8 = 4^16
Parallelogram

17. What is the 'domain' of a function?
The set of input values for a function.
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)
31 - 37
The interesection of A and B.

18. If 10800 is invested at a simple interest rate of 4% - what is the value of the investment after 18 months?
53 - 59
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.)
A subset.
$11 -448

19. 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?
26
12.5%
3
441000 = 1 10 10 10 21 * 21

20. What is the sum of the angles of a triangle?
180 degrees
Prime numbers (2 - 3 - 5 - 7 - 11 - 13 - 17 - 19 - 23)
180°
Negative

21. 30 60 90
M= (Y1-Y2)/(X1-X2)
3x - 4x - 5x
A grouping of the members within a set based on a shared characteristic.
Ø

22. 40 < all primes<50
41 - 43 - 47
(a - b)(a + b)
(rate)(time) d=rt
An expression with just one term (-6x - 2a^2)

23. 1 is the
Ab=k (k is a constant)
441000 = 1 10 10 10 21 * 21
Smallest positive integer
3

24. The sum of the measures of the n angles in a polygon with n sides
Pi is the ratio of a circle'S circumference to its diameter.
12sqrt2
(n-2) x 180
All numbers which can be expressed as a ratio of two integers. (All integers and fractions.) (-2 - 1 - .25 - 1/2)

25. If a<b - then
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
A+c<b+c
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)
Can be negative - zero - or positive

26. Evaluate (4^3)^2
A²+b²=c²
41 - 43 - 47
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
4096

27. factored binomial product of (x-y)²
x = [(-b)+/- (sqrt b^2 - 4ac)]/2a
52
5 OR -5
x²-2xy+y²

28. What are the integers?
(pi)r²
All real numbers which can'T be expressed as a ratio of two integers - positive and negative (pi - -sqrt3)
All numbers multiples of 1.
(2x7)³

29. b¹
1
(length)(width)(height)
The point of intersection of the systems.
90pi

30. Formula for the area of a circle?
48
2
A = pi(r^2)
62.5%

31. The reciprocal of any non-zero number is
A set with a number of elements which can be counted.
54sqrt3. (divide the hexagon into 6 congruent equilateral triangles.
6 : 1 : 2
1/x

32. formula for volume of a rectangular solid
V=l×w×h
1/2 times 7/3
A = length x width
3 - -3

33. the slope of a line in y=mx+b
A reflection about the axis.
130pi
M
(a - b)^2

34. Product of any number and Ø is
(x+y)(x-y)
Ø
Indeterminable.
6

35. (x+y)²
28
Indeterminable.
A= (1/2) b*h
x²+2xy+y²

36. What is the 'Range' of a function?
The set of output values for a function.
The union of A and B.
A-b is positive
P(E) = 1/1 = 1

37. 1/8 in percent?
A=(base)(height)
12.5%
Can be negative - zero - or positive
2 - 3 - 5 - 7 - 11 - 13 - 17 - 19 - 23 - 29

38. 70 < all primes< 80
71 - 73 - 79
2 & 3/7
Straight Angle
Ø=P(E)=1

39. How to recognize if a # is a multiple of 12
360/n
A tangent is a line that only touches one point on the circumference of a circle.
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.)
Undefined - because we can'T divide by 0.

40. 50 < all primes< 60
53 - 59
The objects within a set.
75:11
An infinite set.

41. x^6 / x^3
The second graph is less steep.
x^(6-3) = x^3
x²-y²
90°

42. The perimeter of a square is 48 inches. The length of its diagonal is:
1 & 37/132
12sqrt2
(a + b)^2
A= (1/2) b*h

43. (6sqrt3) x (2sqrt5) =
3 - 4 - 5
Its divisible by 2 and by 3.
P(E) = ø
(6 x 2)(sqrt3 x sqrt5) = 12sqrt15

44. a^2 + 2ab + b^2
3 - 4 - 5
Do not have slopes!
360/n
(a + b)^2

45. What is the graph of f(x) shifted downward c units or spaces?
The graph of 3(x - 1)^2 is a translation (shift) of the graph one unit or space to the right.
F(x) - c
3 - 4 - 5
Infinite.

46. What is a set with no members called?
The empty set - denoted by a circle with a diagonal through it.
5
(amount of decrease/original price) x 100%
6 : 1 : 2

47. Which is greater? 200x^295 or 10x^294?
Cross multiplication a/b=c/d 4/6=10/15 4(15)=6(10) 60=60
Relationship cannot be determined (what if x is negative?)
Its last two digits are divisible by 4.
Distance=rate×time or d=rt

48. Ø divided by 7
180
Ø
4a^2(b)
1.7

49. 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?
28
Distance=rate×time or d=rt
Two angles whose sum is 90.
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

50. What are complementary angles?
180°
Two angles whose sum is 90.
C = (pi)d
4:9. The ratio of the areas of two similar triangles equals the square of the ratio of the corresponding sides.

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GRE Math: All In One

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