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. Area of a triangle?
A natural number greater than 1 that has no positive divisors other than 1 and itself
(base*height) / 2
180°
87.5%
2. A number is divisible by 3 if ...
180°
13pi / 2
Sum of digits is a multiple of 3 and the last digit is even.
The sum of its digits is divisible by 3.
3. What is the set of elements which can be found in either A or B?
M= (Y1-Y2)/(X1-X2)
The union of A and B.
1:sqrt3:2
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)
4. 30< all primes<40
16.6666%
31 - 37
1/x
A²+b²=c²
5. Ø divided by 7
31 - 37
Ø=P(E)=1
2 & 3/7
Ø
6. Slope
y2-y1/x2-x1
87.5%
9 : 25
N! / (n-k)!
7. Define an 'expression'.
(distance)/(rate) d/r
N! / (n-k)!
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)
1:sqrt3:2
8. What are the roots of the quadrinomial x^2 + 2x + 1?
The triangle is a right triangle. The triangle is isosceles (AC=BC). The ratio of the lengths of the three sides is x:x:xv2.
x²-2xy+y²
The two xes after factoring.
Indeterminable.
9. What is an arc of a circle?
180
(distance)/(rate) d/r
An arc is a portion of a circumference of a circle.
(amount of decrease/original price) x 100%
10. 30 60 90
9 & 6/7
3 - 4 - 5
The steeper the slope.
The set of output values for a function.
11. Area of a triangle
A= (1/2) b*h
2²
1
37.5%
12. binomial product of (x+y)²
Subtract them. i.e (5^7)/(5^3)= 5^4
12sqrt2
x²+2xy+y²
(x+y)(x+y)
13. Factor x^2 - xy + x.
10
C = 2(pi)r
x(x - y + 1)
2²
14. Consecutive integers
87.5%
2^9 / 2 = 256
83.333%
x - x+1 - x+2
15. How many multiples does a given number have?
(a - b)(a + b)
(2x7)³
.0004809 X 10^11
Infinite.
16. Evaluate 3& 2/7 / 1/3
1/x
27
C = (pi)d
9 & 6/7
17. the slope of a line in y=mx+b
NOT A PRIME
A= (1/2) b*h
M
1.0843 X 10^11
18. (x+y)²
x²+2xy+y²
A=(base)(height)
x - x(SR3) - 2x
A reflection about the origin.
19. Suppose that the graph of f(x) is the result of sliding the graph of y=2x^2 down 3 units of spaces. What is the new equation?
All numbers multiples of 1.
441000 = 1 10 10 10 21 * 21
y = 2x^2 - 3
(amount of decrease/original price) x 100%
20. If 8 schools are in a conference - how many games are played if each team plays each other exactly once?
16.6666%
(b + c)
28. n = 8 - k = 2. n! / k!(n-k)!
V=Lwh
21. Nine coins are tossed simultaneously. In how many of the outcomes will the fourth coin tossed show heads?
2^9 / 2 = 256
10! / (10-3)! = 720
y2-y1/x2-x1
C = 2(pi)r
22. If Event is impossible
A=(base)(height)
1:sqrt3:2
16^8 64^5 = (4^3)^5 = 4^15 16^8=(4^2)^8 = 4^16
P(E) = ø
23. The four angles around a point measure y - 2y - 35 and 55 respectively. What is the value of y?
90
90pi
Circumference = Diameter(pi). Use pythagorean theorem to find the diagonal of the square (the diameter).
Even
24. When does a function automatically have a restricted domain (2)?
Right
7 / 1000
An angle which is supplementary to an interior angle.
When we need to avoid having a zero in the denominator or avoid taking the square root of a number.
25. The negative exponent x?n is equivalent to what?
(base*height) / 2
1/xn i.e. 5^-3 = 1/(5^3) = 1/ 125 = .008
500
87.5%
26. a>b then a - b is positive or negative?
0
[(7+ sqrt93) /2] - [(7 - sqrt93) / 2]
F(x-c)
A-b is positive
27. 5/8 in percent?
62.5%
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)
A reflection about the origin.
No - only like radicals can be added.
28. In similar hexagons - the ratio of the areas is 16:25. What is the ratio of their corresponding sides?
B?b?b (where b is used as a factor n times)
0
y = 2x^2 - 3
4:5
29. 5/6 in percent?
13
A multiple of every integer
83.333%
The empty set - denoted by a circle with a diagonal through it.
30. The sum of all angles around a point
The sum of digits is divisible by 9.
12.5%
An infinite set.
360°
31. Area of a circle
P(E) = ø
A=pi*(r^2)
1
1.7
32. The perimeter of a square is 48 inches. The length of its diagonal is:
Two angles whose sum is 180.
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.)
1/a^6
12sqrt2
33. Simplify the expression [(b^2 - c^2) / (b - c)]
(b + c)
P(E) = number of favorable outcomes/total number of possible outcomes
11 - 13 - 17 - 19
Members or elements
34. What is the name for a grouping of the members within a set based on a shared characteristic?
V=side³
52
Even prime number
A subset.
35. Circumference of a circle
The two xes after factoring.
Pi(diameter)
Move the decimal point to the right x places
The objects within a set.
36. What is a subset?
(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)
1/a^6
A grouping of the members within a set based on a shared characteristic.
37. A brick with dimensions 10. 15 and 25 weighs 1.5 kg. A second brick (same density) has dimensions 12 - 18 - and 30. What is the weight of the second brick?
2.592 kg
Cross multiplication a/b=c/d 4/6=10/15 4(15)=6(10) 60=60
The two xes after factoring.
The interesection of A and B.
38. What is the ratio of the sides of a 30-60-90 triangle?
1 - 4 - 9 - 16 - 25 - 36 - 49 - 64 - 81 - 100 - 121 - 144 - 169 - 196 - 225
1:sqrt3:2
9 : 25
Ab-ac
39. P and r are factors of 100. What is greater - pr or 100?
Even prime number
Indeterminable.
The set of output values for a function.
1.0843 X 10^11
40. a^2 - 2ab + b^2
4725
$3 -500 in the 9% and $2 -500 in the 7%.
= (actual decrease/Original amount) x 100%
(a - b)^2
41. Circumference of a circle
Add them. i.e. (5^7) * (5^3) = 5^10
2(pi)r
A reflection about the axis.
P= 2L + 2w
42. Perfect Squares 1-15
1 - 4 - 9 - 16 - 25 - 36 - 49 - 64 - 81 - 100 - 121 - 144 - 169 - 196 - 225
The set of elements which can be found in either A or B.
4725
A= (1/2) b*h
43. Time
An angle which is supplementary to an interior angle.
(distance)/(rate) d/r
2(pi)r
Right
44. Hector invested $6000. Part was invested in account with 9% simple annual interest - and the rest in account with 7% simple annual interest. If he earned $490 in the first year of these investments - how much did he invest in each account?
A=(base)(height)
12! / 5!7! = 792
$3 -500 in the 9% and $2 -500 in the 7%.
F(x-c)
45. If 4500 is invested at a simple interest rate of 6% - what is the value of the investment after 10 months?
The two xes after factoring.
4725
A+c<b+c
EVEN
46. 1n
P=2(l+w)
1
All numbers multiples of 1.
Move the decimal point to the right x places
47. The ratio of the areas of two similar polygons is ...
Negative
The objects within a set.
The set of input values for a function.
... the square of the ratios of the corresponding sides.
48. In a rectangle - all angles are
An angle which is supplementary to an interior angle.
Infinite.
Right
The greatest value minus the smallest.
49. a^2 + 2ab + b^2
The direction of the inequality is reversed.
(a + b)^2
Reciprocal
1
50. What is the common monomial factor in the expression 4(c^3)d - (c^2)(d^2) + 2cd?
Cd
= (actual decrease/Original amount) x100% = 20/100x100% = 20%
180°
Triangles with same measure and same side lengths.