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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. Describe the relationship between the graphs of x^2 and (1/2)x^2
V=l×w×h
1
Indeterminable.
The second graph is less steep.
2. How to determine percent decrease?
7 / 1000
(amount of decrease/original price) x 100%
1
288 (8 9 4)
3. Area of a Parallelogram:
X
A=(base)(height)
Be Zero!
Relationship cannot be determined (what if x is negative?)
4. When does a function automatically have a restricted domain (2)?
18
A-b is positive
When we need to avoid having a zero in the denominator or avoid taking the square root of a number.
20.5
5. A company places a 6-symbol code on each product. The code consists of the letter T - followed by 3 numerical digits - and then 2 consonants (Y is a conson). How many codes are possible?
441000 = 1 10 10 10 21 * 21
3
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.
1
6. What are the real numbers?
4725
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)
1.7
... the square of the ratios of the corresponding sides.
7. What are the roots of the quadrinomial x^2 + 2x + 1?
27^(-4)
The two xes after factoring.
Positive
55%
8. What is the surface area of a cylinder with radius 5 and height 8?
x = [(-b)+/- (sqrt b^2 - 4ac)]/2a
130pi
Cd
48
9. The important properties of a 45-45-90 triangle?
NOT A PRIME
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.
The greatest value minus the smallest.
V=Lwh
10. 0^0
Undefined
Edge³
288 (8 9 4)
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)
11. What is the coefficient of the x^2 term in the product of (x + 1)(x + 2)(x -1)?
Two angles whose sum is 180.
2
The set of input values for a function.
P=4s (s=side)
12. Acute Angle
54sqrt3. (divide the hexagon into 6 congruent equilateral triangles.
Multiply by 1-x% i.e. 100 x (1-50%)=100x.5=50
72
an angle that is less than 90°
13. What is the 'domain' of a function?
x²-y²
The set of input values for a function.
Ø=P(E)=1
23 - 29
14. For any number x
55%
Ø Ø=Ø
1
Can be negative - zero - or positive
15. What is a minor arc?
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183
16. What is a major arc?
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183
17. the slope of a line in y=mx+b
M
x²+2xy+y²
2^9 / 2 = 256
3x - 4x - 5x
18. 1/Ø=null If a>b then
A<-b
1:sqrt3:2
Sector area = (n/360) X (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)
19. 1/8 in percent?
360°
12.5%
6 : 1 : 2
F(x-c)
20. Circumference of a Circle
C=2 x pi x r OR pi x D
x²-y²
A central angle is an angle formed by 2 radii.
F(x + c)
21. What are the smallest three prime numbers greater than 65?
67 - 71 - 73
The two xes after factoring.
A natural number greater than 1 that has no positive divisors other than 1 and itself
A tangent is a line that only touches one point on the circumference of a circle.
22. Legs 5 - 12. Hypotenuse?
13
Lies opposite the greater angle
31 - 37
Ø
23. What are congruent triangles?
Triangles with same measure and same side lengths.
Undefined
V=l×w×h
A = pi(r^2)
24. What are complementary angles?
Two angles whose sum is 90.
1/x
A multiple of every integer
An is positive
25. Ø divided by 7
1
P(E) = ø
Ø
[(7+ sqrt93) /2] - [(7 - sqrt93) / 2]
26. Evaluate 3& 2/7 / 1/3
An isosceles right triangle.
9 & 6/7
A = length x width
Positive or Negative
27. 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)]?
Pi(diameter)
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.
True
Move the decimal point to the right x places
28. A number is divisible by 9 if...
4725
Can be negative - zero - or positive
The sum of digits is divisible by 9.
75:11
29. a>b then a - b is positive or negative?
90pi
(a - b)^2
A-b is positive
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
30. There are 10 finalists for the school spelling bee. A first - second - and third place trophy will be awarded. In how many ways can the judges award the 3 prizes?
Ø
10! / (10-3)! = 720
1
Reciprocal
31. 8.84 / 5.2
1.7
180
The two xes after factoring.
(n-2) x 180
32. (x-y)(x+y)
EVEN
2^9 / 2 = 256
x²-y²
The longest arc between points A and B on a circle'S diameter.
33. In similar hexagons - the ratio of the areas is 16:25. What is the ratio of their corresponding sides?
Factors are few - multiples are many.
4:5
11 - 13 - 17 - 19
23 - 29
34. 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?
D=rt so r= d/t and t=d/r
All numbers multiples of 1.
No - only like radicals can be added.
$3 -500 in the 9% and $2 -500 in the 7%.
35. 20<all primes<30
Do not have slopes!
The point of intersection of the systems.
23 - 29
2
36. Area of a rectangle
F(x-c)
A = length x width
NOT A PRIME
y/x is a constant
37. What is the common monomial factor in the expression 4(c^3)d - (c^2)(d^2) + 2cd?
Cd
9
A reflection about the axis.
(12/2) x (sqrt15 / sqrt5) = 6sqrt3
38. The Denominator can never
Be Zero!
10
31 - 37
x^(2(4)) =x^8 = (x^4)^2
39. 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)
x²-2xy+y²
4.25 - 6 - 22
An angle which is supplementary to an interior angle.
Straight Angle
40. Formula to calculate arc length?
6
y/x is a constant
Arc length = (n/360) x pi(2r) where n is the number of degrees.
Indeterminable.
41. Suppose you have a set of n objects - and you want to select k of them - but the order doesn'T matter. What formula do you use to determine the number of combinations of n objects taken k at a time?
N! / (k!)(n-k)!
(amount of decrease/original price) x 100%
9 : 25
441000 = 1 10 10 10 21 * 21
42. binomial product of (x+y)²
P= 2L + 2w
0
(x+y)(x+y)
[(7+ sqrt93) /2] - [(7 - sqrt93) / 2]
43. Time
52
y = 2x^2 - 3
(distance)/(rate) d/r
A=(base)(height)
44. For similar triangles - the ratio of their corresponding sides is 2:3. What is the ratio of their areas?
The set of elements found in both A and B.
The empty set - denoted by a circle with a diagonal through it.
4:9. The ratio of the areas of two similar triangles equals the square of the ratio of the corresponding sides.
37.5%
45. 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))?
(2x7)³
$3 -500 in the 9% and $2 -500 in the 7%.
Two angles whose sum is 180.
20.5
46. Circumference of a circle?
A central angle is an angle formed by 2 radii.
180
Diameter(Pi)
12.5%
47. Legs: 3 - 4. Hypotenuse?
5
V=Lwh
A<-b
$11 -448
48. Volume of a cube
Edge³
Yes - like radicals can be added/subtracted.
Parallelogram
A set with no members - denoted by a circle with a diagonal through it.
49. What is the name for a grouping of the members within a set based on a shared characteristic?
A subset.
54sqrt3. (divide the hexagon into 6 congruent equilateral triangles.
The direction of the inequality is reversed.
(12/2) x (sqrt15 / sqrt5) = 6sqrt3
50. 40 < all primes<50
4096
41 - 43 - 47
5
2 & 3/7