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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. What number between 70 & 75 - inclusive - has the greatest number of factors?
72
16.6666%
500
41 - 43 - 47
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?
9 : 25
9
X
13
3. What is a central angle?
N! / (k!)(n-k)!
x²+2xy+y²
(x+y)(x-y)
A central angle is an angle formed by 2 radii.
4. What is the sum of the angles of a triangle?
4:9. The ratio of the areas of two similar triangles equals the square of the ratio of the corresponding sides.
C = (pi)d
180 degrees
1
5. What is the graph of f(x) shifted left c units or spaces?
Ø
F(x + c)
Negative
20.5
6. What is the 'domain' of a function?
1
The set of input values for a function.
Two (Ø×2=Ø)
N! / (n-k)!
7. 7/8 in percent?
D/t (distance)/(time)
87.5%
53 - 59
X
8. Probability of an Event
26
A-b is negative
P(E) = number of favorable outcomes/total number of possible outcomes
Even
9. Can you add sqrt 3 and sqrt 5?
No - only like radicals can be added.
62.5%
4725
A=(base)(height)
10. binomial product of (x+y)(x-y)
3
Cross multiplication a/b=c/d 4/6=10/15 4(15)=6(10) 60=60
(pi)r²
x²-y²
11. If the two sides of a triangle are unequal then the longer side.................
Lies opposite the greater angle
A = pi(r^2)
(6 x 2)(sqrt3 x sqrt5) = 12sqrt15
(rate)(time) d=rt
12. What is the empty set?
28
Ø
Edge³
A set with no members - denoted by a circle with a diagonal through it.
13. 1/6 in percent?
16.6666%
P=2(l+w)
A natural number greater than 1 that has no positive divisors other than 1 and itself
28. n = 8 - k = 2. n! / k!(n-k)!
14. A quadrilateral where two diagonals bisect each other
A grouping of the members within a set based on a shared characteristic.
Parallelogram
9 : 25
360°
15. Suppose that the graph of f(x) is the result of stretching y=x + 5 away from the x-axis by a factor of 2. What is the new equation for the graph f(x)?
V=side³
1
y = (x + 5)/2
Ab+ac
16. Is 0 even or odd?
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
D=rt so r= d/t and t=d/r
Even
Even prime number
17. From a box of 12 candles - you are to remove 5. How many different sets of 5 candles could you remove?
zero
0
12! / 5!7! = 792
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.)
18. For similar triangles - the ratio of their corresponding sides is 2:3. What is the ratio of their areas?
P(E) = number of favorable outcomes/total number of possible outcomes
4:9. The ratio of the areas of two similar triangles equals the square of the ratio of the corresponding sides.
9 & 6/7
P=4s (s=side)
19. If a lamp increases from $80 to $100 - what is the percent increase?
180
The set of output values for a function.
= 25%. = (actual increase/original amount) x 100% = 20/80 x 100% = 1/4 x 100% = 25%
y = (x + 5)/2
20. Any Horizontal line slope
zero
5 - 12 - 13
2 - 3 - 5 - 7 - 11 - 13 - 17 - 19 - 23 - 29
Null
21. What is the slope of a horizontal line?
(n-2) x 180
71 - 73 - 79
3 - 4 - 5
0
22. Ø divided by 7
360°
1:sqrt3:2
B?b?b (where b is used as a factor n times)
Ø
23. Which is greater? 200x^295 or 10x^294?
Relationship cannot be determined (what if x is negative?)
The greatest value minus the smallest.
A+c<b+c
an angle that is less than 90°
24. a(b+c)
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)
3 - 4 - 5
x²-2xy+y²
Ab+ac
25. 1/8 in percent?
12.5%
180°
A-b is positive
20.5
26. To multiply a number by 10^x
x^(2(4)) =x^8 = (x^4)^2
Move the decimal point to the right x places
The direction of the inequality is reversed.
The greatest value minus the smallest.
27. Rate
D/t (distance)/(time)
Subtract them. i.e (5^7)/(5^3)= 5^4
54sqrt3. (divide the hexagon into 6 congruent equilateral triangles.
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.)
28. Slope
Add them. i.e. (5^7) * (5^3) = 5^10
y2-y1/x2-x1
x = [(-b)+/- (sqrt b^2 - 4ac)]/2a
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)
29. How to recognize a # as a multiple of 9
y = 2x^2 - 3
y/x is a constant
The sum of the digits is a multiple of 9.
(rate)(time) d=rt
30. The Denominator can never
Be Zero!
Ø
Relationship cannot be determined (what if x is negative?)
Every number
31. Ø is
A multiple of every integer
5 OR -5
When we need to avoid having a zero in the denominator or avoid taking the square root of a number.
11 - 13 - 17 - 19
32. 2³×7³
A tangent is a line that only touches one point on the circumference of a circle.
(2x7)³
x²-y²
1/a^6
33. Volume of a rectangular box
V=Lwh
A=½bh
A²+b²=c²
0
34. The sum of the angles in a quadrilateral is
Yes - like radicals can be added/subtracted.
360°
90pi
The direction of the inequality is reversed.
35. Pythagorean theorem
A²+b²=c²
Do not have slopes!
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
16.6666%
36. What is a major arc?
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on line
183
37. Slope of any line that goes up from left to right
Ø
Sector area = (n/360) X (pi)r^2
Positive
2sqrt6
38. If a product of two numbers is Ø - one number must be
Ø
Cross multiplication a/b=c/d 4/6=10/15 4(15)=6(10) 60=60
NOT A PRIME
48
39. Legs 6 - 8. Hypotenuse?
54sqrt3. (divide the hexagon into 6 congruent equilateral triangles.
10
360°
x^(6-3) = x^3
40. Volume of a rectangular solid
The interesection of A and B.
Triangles with same measure and same side lengths.
(length)(width)(height)
12! / 5!7! = 792
41. For what values should the domain be restricted for the function f(x) = sqrt(x + 8)
Be Zero!
x^(2(4)) =x^8 = (x^4)^2
8
72
42. Reduce: 4.8 : 0.8 : 1.6
16.6666%
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.)
F(x) - c
6 : 1 : 2
43. If 8 schools are in a conference - how many games are played if each team plays each other exactly once?
D/t (distance)/(time)
53 - 59
2 & 3/7
28. n = 8 - k = 2. n! / k!(n-k)!
44. What is a subset?
4:5
Sector area = (n/360) X (pi)r^2
The empty set - denoted by a circle with a diagonal through it.
A grouping of the members within a set based on a shared characteristic.
45. If a lamp decreases to $80 - from $100 - what is the decrease in price?
= (actual decrease/Original amount) x100% = 20/100x100% = 20%
ODD number
= 25%. = (actual increase/original amount) x 100% = 20/80 x 100% = 1/4 x 100% = 25%
The empty set - denoted by a circle with a diagonal through it.
46. 70 < all primes< 80
A set with no members - denoted by a circle with a diagonal through it.
Prime numbers (2 - 3 - 5 - 7 - 11 - 13 - 17 - 19 - 23)
71 - 73 - 79
Diameter(Pi)
47. What is a set with no members called?
The empty set - denoted by a circle with a diagonal through it.
90
F(x-c)
True
48. Ø Is
Be Zero!
20.5
V=side³
EVEN
49. 8.84 / 5.2
NOT A PRIME
The interesection of A and B.
1.7
72
50. 25^(1/2) or sqrt. 25 =
A=pi*(r^2)
5 OR -5
(a + b)^2
4a^2(b)