SUBJECTS
|
BROWSE
|
CAREER CENTER
|
POPULAR
|
JOIN
|
LOGIN
Business Skills
|
Soft Skills
|
Basic Literacy
|
Certifications
About
|
Help
|
Privacy
|
Terms
|
Email
Search
Test your basic knowledge |
GRE Math: All In One
Start Test
Study First
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. A number is divisible by 9 if...
A tangent is a line that only touches one point on the circumference of a circle.
The sum of digits is divisible by 9.
P(E) = 1/1 = 1
1 - P(E)
2. 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
Null
180
An is positive
Expressing a number as the product of a decimal between 1 and 10 - and a power of 10.
3. What are the roots of the quadrinomial x^2 + 2x + 1?
The two xes after factoring.
P=4s (s=side)
Be Zero!
Reciprocal
4. What is the 'Range' of a function?
4:5
y/x is a constant
The set of output values for a function.
= (actual decrease/Original amount) x100% = 20/100x100% = 20%
5. What is the slope of a horizontal line?
0
(p + q)/5
Positive or Negative
288 (8 9 4)
6. First 10 prime #s
A chord is a line segment joining two points on a circle.
2 - 3 - 5 - 7 - 11 - 13 - 17 - 19 - 23 - 29
Members or elements
Null
7. The product of odd number of negative numbers
Pi is the ratio of a circle'S circumference to its diameter.
Negative
zero
M= (Y1-Y2)/(X1-X2)
8. How to determine percent decrease?
10! / (10-3)! = 720
(amount of decrease/original price) x 100%
The union of A and B.
V=side³
9. X is the opposite of
A central angle is an angle formed by 2 radii.
X
Members or elements
(amount of decrease/original price) x 100%
10. Ø Is neither
Every number
Smallest positive integer
Positive or Negative
Circumference = Diameter(pi). Use pythagorean theorem to find the diagonal of the square (the diameter).
11. If a<b - then
A+c<b+c
3 - 4 - 5
Edge³
When we need to avoid having a zero in the denominator or avoid taking the square root of a number.
12. 1 is an
ODD number
The longest arc between points A and B on a circle'S diameter.
26
Parallelogram
13. 20<all primes<30
23 - 29
2
Its last two digits are divisible by 4.
(a - b)(a + b)
14. Evaluate 4/11 + 11/12
1 & 37/132
The sum of its digits is divisible by 3.
The two xes after factoring.
(rate)(time) d=rt
15. 70 < all primes< 80
... the square of the ratios of the corresponding sides.
V=side³
The objects within a set.
71 - 73 - 79
16. What is the order of operations?
1/2 times 7/3
PEMDAS (Parentheses Exponents Multiplication/Division Addition/Subtraction)
2.592 kg
x = [(-b)+/- (sqrt b^2 - 4ac)]/2a
17. a(b+c)
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.)
The sum of the digits is a multiple of 9.
Even
Ab+ac
18. P and r are factors of 100. What is greater - pr or 100?
Indeterminable.
.0004809 X 10^11
13
4725
19. Ø is
27^(-4)
P=2(l+w)
A chord is a line segment joining two points on a circle.
Even
20. 60 < all primes <70
Lies opposite the greater angle
4a^2(b)
13
61 - 67
21. The perimeter of a square is 48 inches. The length of its diagonal is:
1
12sqrt2
F(x) + c
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)
22. 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?
500
A multiple of every integer
48
41 - 43 - 47
23. Formula to find a circle'S circumference from its diameter?
A natural number greater than 1 that has no positive divisors other than 1 and itself
Edge³
C = (pi)d
3x - 4x - 5x
24. Area of a Parallelogram:
A=(base)(height)
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.
Ø Ø=Ø
Every number
25. If a=-1 and b=3 - what is the value of (4(a^3)(b^2) - 12(a^2)(b^5)) / (16(a^3)(b^2))?
The set of input values for a function.
Ab=k (k is a constant)
20.5
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.)
26. Rate
2.592 kg
D/t (distance)/(time)
Triangles with same measure and same side lengths.
Ø Ø=Ø
27. What is the intersection of A and B?
The set of elements found in both A and B.
48
Indeterminable.
75:11
28. For similar triangles - the ratio of their corresponding sides is 2:3. What is the ratio of their areas?
5
4:9. The ratio of the areas of two similar triangles equals the square of the ratio of the corresponding sides.
1.7
C = (pi)d
29. Evaluate 3& 2/7 / 1/3
When we need to avoid having a zero in the denominator or avoid taking the square root of a number.
A²+b²=c²
(x+y)(x+y)
9 & 6/7
30. 1/8 in percent?
V=side³
12.5%
NOT A PRIME
Yes - like radicals can be added/subtracted.
31. What is the name for a grouping of the members within a set based on a shared characteristic?
x²-2xy+y²
F(x + c)
10
A subset.
32. Formula for the area of a circle?
A = pi(r^2)
P=2(l+w)
180
1
33. Any Horizontal line slope
Be Zero!
The interesection of A and B.
zero
The shortest arc between points A and B on a circle'S diameter.
34. When multiplying exponential #s with the same base - you do this to the exponents...
Ø
P(E) = 1/1 = 1
Add them. i.e. (5^7) * (5^3) = 5^10
2sqrt6
35. The objects in a set are called two names:
Members or elements
An expression with just one term (-6x - 2a^2)
Reciprocal
.0004809 X 10^11
36. (x^2)^4
10
x^(2(4)) =x^8 = (x^4)^2
A=pi*(r^2)
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)
37. In a Rectangle - each angles measures
90°
1/a^6
11 - 13 - 17 - 19
130pi
38. 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)
... the square of the ratios of the corresponding sides.
4.25 - 6 - 22
The sum of the digits is a multiple of 9.
A= (1/2) b*h
39. The reciprocal of any non-zero #x is
Be Zero!
1/x
2²
The sum of digits is divisible by 9.
40. Factor x^2 - xy + x.
The set of output values for a function.
Negative
52
x(x - y + 1)
41. factored binomial product of (x-y)²
Ø
x²-2xy+y²
Straight Angle
The objects within a set.
42. 1 is a divisor of
Every number
1/a^6
Its divisible by 2 and by 3.
Sector area = (n/360) X (pi)r^2
43. Formula to find a circle'S circumference from its radius?
.0004809 X 10^11
(2x7)³
The greatest value minus the smallest.
C = 2(pi)r
44. To increase a number by x%
2
54sqrt3. (divide the hexagon into 6 congruent equilateral triangles.
(base*height) / 2
Multiply by 1+x% i.e. 100 x (1+50%)=100x1.5=150
45. Can you add sqrt 3 and sqrt 5?
Edge³
No - only like radicals can be added.
Ø=P(E)=1
An isosceles right triangle.
46. (6sqrt3) x (2sqrt5) =
(n-2) x 180
Indeterminable.
360°
(6 x 2)(sqrt3 x sqrt5) = 12sqrt15
47. What is the set of elements found in both A and B?
Sector area = (n/360) X (pi)r^2
zero
A reflection about the origin.
The interesection of A and B.
48. 1/2 divided by 3/7 is the same as
P=2(l+w)
an angle that is less than 90°
18
1/2 times 7/3
49. If y is directly proportional to x - what does it equal?
Indeterminable.
x^(2(4)) =x^8 = (x^4)^2
C = 2(pi)r
y/x is a constant
50. 5/8 in percent?
62.5%
An isosceles right triangle.
90pi
The shortest arc between points A and B on a circle'S diameter.