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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. Describe the relationship between 3x^2 and 3(x - 1)^2
The graph of 3(x - 1)^2 is a translation (shift) of the graph one unit or space to the right.
A = length x width
An infinite set.
True

2. If r - t - s & u are distinct - consecutive prime numbers - less than 31 - which of the following could be an average of them (4 - 4.25 - 6 - 9 - 24 - 22 - 24)
288 (8 9 4)
4.25 - 6 - 22
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.)
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...

3. If y is directly proportional to x - what does it equal?
Prime numbers (2 - 3 - 5 - 7 - 11 - 13 - 17 - 19 - 23)
X
(a - b)(a + b)
y/x is a constant

4. The Denominator can never
P(E) = ø
Be Zero!
angle that is greater than 90° but less than 180°
500

5. 3/8 in percent?
V=l×w×h
37.5%
A<-b
0

6. The sum of the angles in a quadrilateral is
(n-2) x 180
20.5
(a - b)(a + b)
360°

7. In a Regular Polygon - the measure of each exterior angle
A=(base)(height)
360/n
The set of elements which can be found in either A or B.
Positive

8. binomial product of (x+y)²
Negative
(12/2) x (sqrt15 / sqrt5) = 6sqrt3
(x+y)(x+y)
1

9. How to determine percent decrease?
1 - 4 - 9 - 16 - 25 - 36 - 49 - 64 - 81 - 100 - 121 - 144 - 169 - 196 - 225
Sum of digits is a multiple of 3 and the last digit is even.
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...
(amount of decrease/original price) x 100%

10. What are the integers?
1:sqrt3:2
All numbers multiples of 1.
Members or elements
(a - b)(a + b)

11. Circumference of a circle?
1
54sqrt3. (divide the hexagon into 6 congruent equilateral triangles.
Diameter(Pi)
D/t (distance)/(time)

12. A number is divisible by 4 is...
10! / (10-3)! = 720
8
(p + q)/5
Its last two digits are divisible by 4.

13. Number of degrees in a triangle
180
Prime numbers (2 - 3 - 5 - 7 - 11 - 13 - 17 - 19 - 23)
(n-2) x 180
The sum of the digits is a multiple of 9.

14. What is it called when a point is reflected to the quadrant opposite it (i.e. I to III or II to IV)?
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)
A reflection about the origin.
Negative
5 OR -5

15. Define an 'expression'.
Ø
Indeterminable.
x^(6-3) = x^3
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)

16. Find distance when given time and rate
26
D=rt so r= d/t and t=d/r
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)
Ø

17. Define a 'Term' -
13
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)
A=(base)(height)
An angle which is supplementary to an interior angle.

18. What is the slope of a vertical line?

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19. If a pair of parallel lines is cut by a transversal that'S not perpendicular - the sum of any acute angle and any obtuse angle is
180
y = (x + 5)/2
C=2 x pi x r OR pi x D
The graph of 3(x - 1)^2 is a translation (shift) of the graph one unit or space to the right.

20. What is the 'Range' of a series of numbers?
y = (x + 5)/2
Two (Ø×2=Ø)
The greatest value minus the smallest.
53 - 59

21. Write 10 -843 X 10^7 in scientific notation
4:9. The ratio of the areas of two similar triangles equals the square of the ratio of the corresponding sides.
1.0843 X 10^11
2²
The set of elements which can be found in either A or B.

22. The product of any number x and its reciprocal
P=2(l+w)
Ø
1:sqrt3:2
1

23. What is a central angle?
A central angle is an angle formed by 2 radii.
Even
28. n = 8 - k = 2. n! / k!(n-k)!
A=(base)(height)

24. Formula to find a circle'S circumference from its radius?
C = 2(pi)r
= (actual decrease/Original amount) x100% = 20/100x100% = 20%
Sector area = (n/360) X (pi)r^2
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)

25. 10<all primes<20
An arc is a portion of a circumference of a circle.
11 - 13 - 17 - 19
61 - 67
83.333%

26. If a is positive - an is
C = 2(pi)r
C=2 x pi x r OR pi x D
x - x(SR3) - 2x
Positive

27. 25^(1/2) or sqrt. 25 =
27^(-4)
A reflection about the axis.
5 OR -5
62.5%

28. What are the irrational numbers?

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29. Define a 'monomial'
y = (x + 5)/2
288 (8 9 4)
The sum of its digits is divisible by 3.
An expression with just one term (-6x - 2a^2)

30. Area of a triangle
The second graph is less steep.
zero
A= (1/2) b*h
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...

31. What is the measure of an exterior angle of a regular pentagon?
72
13
360°
V=l×w×h

32. The perimeter of a square is 48 inches. The length of its diagonal is:
52
12sqrt2
F(x + c)
37.5%

33. A cylinder has surface area 22pi. If the cylinder has a height of 10 - what is its radius?
1
PEMDAS (Parentheses Exponents Multiplication/Division Addition/Subtraction)
A-b is positive
67 - 71 - 73

34. A prime number (or a prime)
A natural number greater than 1 that has no positive divisors other than 1 and itself
10
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...
x²+2xy+y²

35. bn
The two xes after factoring.
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.
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.)
B?b?b (where b is used as a factor n times)

36. a^2 - b^2
(a - b)^2
(a - b)(a + b)
Every number
Ø

37. 2 is the only
A tangent is a line that only touches one point on the circumference of a circle.
1
Even prime number
4725

38. If an inequality is multiplied or divided by a negative number....
Prime numbers (2 - 3 - 5 - 7 - 11 - 13 - 17 - 19 - 23)
The direction of the inequality is reversed.
12.5%
62.5%

39. One is (a prime or not?)
Cross multiplication a/b=c/d 4/6=10/15 4(15)=6(10) 60=60
NOT A PRIME
x^(2(4)) =x^8 = (x^4)^2
1

40. What is the sum of the angles of a triangle?
180 degrees
F(x + c)
A=½bh
5

41. the measure of a straight angle
1/x
NOT A PRIME
180°
A set with no members - denoted by a circle with a diagonal through it.

42. 2³×7³
9 & 6/7
(2x7)³
A set with a number of elements which can be counted.
Ab=k (k is a constant)

43. What is a major arc?

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44. 30 60 90
3x - 4x - 5x
Pi is the ratio of a circle'S circumference to its diameter.
4725
x^(4+7) = x^11

45. The product of odd number of negative numbers
Negative
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.)
An angle which is supplementary to an interior angle.
A=½bh

46. Consecutive integers
x - x+1 - x+2
x^(4+7) = x^11
The sum of its digits is divisible by 3.
All real numbers which can'T be expressed as a ratio of two integers - positive and negative (pi - -sqrt3)

47. If a<b - then
5 OR -5
A+c<b+c
The set of elements found in both A and B.
The set of output values for a function.

48. The objects in a set are called two names:
The interesection of A and B.
x^(6-3) = x^3
Members or elements
288 (8 9 4)

49. The negative exponent x?n is equivalent to what?
10
1/xn i.e. 5^-3 = 1/(5^3) = 1/ 125 = .008
P=2(l+w)
Yes - because you can factor out a perfect square (36). Sqrt(36 x 2) = sqrt36 X sqrt2 = 6sqrt2.

50. formula for distance problems
Add them. i.e. (5^7) * (5^3) = 5^10
Distance=rate×time or d=rt
2sqrt6
EVEN

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GRE Math: All In One

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