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. T or F? Given d -e &f =/ 0 - [(d^3)e(f^5)] / 2d(e^3) / [3(d^2)(e^3)(f^7)] / [6(e^5)(f^2)]?
(6 x 2)(sqrt3 x sqrt5) = 12sqrt15
(a + b)^2
True
Ab=k (k is a constant)
2. Ratio of ages of Anna and Emma is 3:5 and of Emma and Nicolas is 3:5. What is the ratio of Anna to Nicholas' ages?
Infinite.
9 : 25
The longest arc between points A and B on a circle'S diameter.
x - x(SR3) - 2x
3. There are 10 finalists for the school spelling bee. A first - second - and third place trophy will be awarded. How many different people can get the three prizes?
Ab+ac
... the square of the ratios of the corresponding sides.
10! / 3!(10-3)! = 120
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)
4. What is the empty set?
Every number
3/2 - 5/3
Factors are few - multiples are many.
A set with no members - denoted by a circle with a diagonal through it.
5. a<b then a - b is positive or negative?
Its divisible by 2 and by 3.
NOT A PRIME
A-b is 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.)
6. What is a percent?
Even
P(E) = number of favorable outcomes/total number of possible outcomes
A percent is a fraction whose denominator is 100.
y = (x + 5)/2
7. The Denominator can never
180°
A-b is negative
The set of elements found in both A and B.
Be Zero!
8. Perimeter of a rectangle
9 & 6/7
P= 2L + 2w
6
87.5%
9. What is the third quartile of the following data set: 44 - 58 - 63 - 63 - 68 - 70 - 82
2sqrt6
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.)
70
x²-2xy+y²
10. How do you solve proportions? a/b=c/d
Smallest positive integer
Positive
20.5
Cross multiplication a/b=c/d 4/6=10/15 4(15)=6(10) 60=60
11. What percent of 40 is 22?
61 - 67
55%
P= 2L + 2w
72
12. Ø Is
P(E) = ø
20.5
EVEN
1.0843 X 10^11
13. What is the graph of f(x) shifted right c units or spaces?
F(x-c)
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
3
1 - P(E)
14. a^2 - 2ab + b^2
(a - b)^2
(length)(width)(height)
1.0843 X 10^11
Relationship cannot be determined (what if x is negative?)
15. What number between 70 & 75 - inclusive - has the greatest number of factors?
4.25 - 6 - 22
Move the decimal point to the right x places
288 (8 9 4)
72
16. If a lamp decreases to $80 - from $100 - what is the decrease in price?
= (actual decrease/Original amount) x100% = 20/100x100% = 20%
[(7+ sqrt93) /2] - [(7 - sqrt93) / 2]
5 OR -5
An isosceles right triangle.
17. What are the roots of the quadrinomial x^2 + 2x + 1?
ODD number
x - x(SR3) - 2x
The two xes after factoring.
6
18. What is the sum of the angles of a triangle?
(b + c)
Triangles with same measure and same side lengths.
180 degrees
28. n = 8 - k = 2. n! / k!(n-k)!
19. 3 is the opposite of
When we need to avoid having a zero in the denominator or avoid taking the square root of a number.
3
Multiply by 1-x% i.e. 100 x (1-50%)=100x.5=50
A-b is positive
20. formula for area of a triangle
A 30-60-90 triangle.
A=½bh
The set of elements which can be found in either A or B.
The interesection of A and B.
21. If a is positive - an is
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.)
Positive
A-b is positive
Ab=k (k is a constant)
22. The ratio of the areas of two similar polygons is ...
x - x+1 - x+2
1.0843 X 10^11
... the square of the ratios of the corresponding sides.
12! / 5!7! = 792
23. When does a function automatically have a restricted domain (2)?
1:1:sqrt2
The sum of digits is divisible by 9.
When we need to avoid having a zero in the denominator or avoid taking the square root of a number.
P(E) = 1/1 = 1
24. For any number x
Distance=rate×time or d=rt
A reflection about the origin.
Can be negative - zero - or positive
Ø=P(E)=1
25. What is the 'domain' of a function?
The set of input values for a function.
48
Null
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. A number is divisible by 4 is...
130pi
75:11
Its last two digits are divisible by 4.
Undefined - because we can'T divide by 0.
27. 2 is the only
5
Even prime number
The set of elements found in both A and B.
X
28. What is the side length of an equilateral triangle with altitude 6?
Ø
10! / 3!(10-3)! = 120
Distance=rate×time or d=rt
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...
29. 50 < all primes< 60
53 - 59
130pi
F(x) + c
The direction of the inequality is reversed.
30. If 10800 is invested at a simple interest rate of 4% - what is the value of the investment after 18 months?
A set with no members - denoted by a circle with a diagonal through it.
Positive
$11 -448
A multiple of every integer
31. The Perimeter of a rectangle
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)
P=2(l+w)
An infinite set.
4096
32. 30 60 90
Can be negative - zero - or positive
x - x(SR3) - 2x
(b + c)
4096
33. Can you add sqrt 3 and sqrt 5?
The direction of the inequality is reversed.
No - only like radicals can be added.
The sum of its digits is divisible by 3.
Right
34. a(b+c)
Cross multiplication a/b=c/d 4/6=10/15 4(15)=6(10) 60=60
Ab+ac
Every number
All numbers which can be expressed as a ratio of two integers. (All integers and fractions.) (-2 - 1 - .25 - 1/2)
35. What are 'Supplementary angles?'
A set with no members - denoted by a circle with a diagonal through it.
A set with a number of elements which can be counted.
Two angles whose sum is 180.
A chord is a line segment joining two points on a circle.
36. the measure of a straight angle
P(E) = ø
1/a^6
All numbers multiples of 1.
180°
37. 25+2³
... the square of the ratios of the corresponding sides.
(a + b)^2
28
4725
38. How many 3-digit positive integers are even and do not contain the digit 4?
288 (8 9 4)
The greatest value minus the smallest.
6
y2-y1/x2-x1
39. Formula to calculate arc length?
The objects within a set.
Arc length = (n/360) x pi(2r) where n is the number of degrees.
71 - 73 - 79
(n-2) x 180
40. x^2 = 9. What is the value of x?
31 - 37
3 - -3
x - x+1 - x+2
9
41. 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
Undefined - because we can'T divide by 0.
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)
180
1
42. a(b-c)
Ab-ac
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...
Undefined - because we can'T divide by 0.
(2x7)³
43. Time
(2x7)³
Ø Ø=Ø
4096
(distance)/(rate) d/r
44. Circumference of a circle
67 - 71 - 73
2(pi)r
Relationship cannot be determined (what if x is negative?)
An infinite set.
45. x^4 + x^7 =
A+c<b+c
A<-b
4096
x^(4+7) = x^11
46. Formula to find a circle'S circumference from its radius?
360°
C = 2(pi)r
4:5
The objects within a set.
47. Convert 0.7% to a fraction.
180°
P= 2L + 2w
x = [(-b)+/- (sqrt b^2 - 4ac)]/2a
7 / 1000
48. What are the members or elements of a set?
A set with no members - denoted by a circle with a diagonal through it.
The objects within a set.
Straight Angle
360°
49. The objects in a set are called two names:
Members or elements
3
Every number
The sum of its digits is divisible by 3.
50. If E is certain
A 30-60-90 triangle.
The two xes after factoring.
P(E) = 1/1 = 1
(a + b)^2