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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. bn
B?b?b (where b is used as a factor n times)
x²+2xy+y²
(a - b)^2
360°
2. If a is negative and n is even then an is (positive or negative?)
An is positive
Relationship cannot be determined (what if x is negative?)
Even
4.25 - 6 - 22
3. If you have a set of n objects - but you only want to order k of them - what formula do you use to determine the number of permutations?
C = (pi)d
An arc is a portion of a circumference of a circle.
x²-2xy+y²
N! / (n-k)!
4. Product of any number and Ø is
Ø
(b + c)
Yes - like radicals can be added/subtracted.
Triangles with same measure and same side lengths.
5. What is an exterior angle?
An arc is a portion of a circumference of a circle.
NOT A PRIME
Ab+ac
An angle which is supplementary to an interior angle.
6. 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 - b)^2
6 : 1 : 2
$3 -500 in the 9% and $2 -500 in the 7%.
Diameter(Pi)
7. When dividing exponential #s with the same base - you do this to the exponents...
angle that is greater than 90° but less than 180°
Subtract them. i.e (5^7)/(5^3)= 5^4
= (actual decrease/Original amount) x 100%
A natural number greater than 1 that has no positive divisors other than 1 and itself
8. What are the roots of the quadrinomial x^2 + 2x + 1?
1
Undefined - because we can'T divide by 0.
9 : 25
The two xes after factoring.
9. (x-y)²
Do not have slopes!
x²-2xy+y²
The interesection of A and B.
61 - 67
10. binomial product of (x+y)(x-y)
x²-y²
5 - 12 - 13
An arc is a portion of a circumference of a circle.
True
11. 1/8 in percent?
12.5%
Factors are few - multiples are many.
180°
A 30-60-90 triangle.
12. Define a 'monomial'
Even prime number
An expression with just one term (-6x - 2a^2)
angle that is greater than 90° but less than 180°
A 30-60-90 triangle.
13. An Angle that'S 180°
67 - 71 - 73
A 30-60-90 triangle.
Straight Angle
A subset.
14. Reduce: 4.8 : 0.8 : 1.6
6 : 1 : 2
A chord is a line segment joining two points on a circle.
Right
Two (Ø×2=Ø)
15. (12sqrt15) / (2sqrt5) =
(12/2) x (sqrt15 / sqrt5) = 6sqrt3
67 - 71 - 73
(a + b)^2
The set of elements which can be found in either A or B.
16. A cylinder has surface area 22pi. If the cylinder has a height of 10 - what is its radius?
28
1
Two equal sides and two equal angles.
A subset.
17. In similar hexagons - the ratio of the areas is 16:25. What is the ratio of their corresponding sides?
441000 = 1 10 10 10 21 * 21
4:5
62.5%
M= (Y1-Y2)/(X1-X2)
18. What is the 'Range' of a function?
Pi(diameter)
The set of output values for a function.
27
angle that is greater than 90° but less than 180°
19. In any polygon - all external angles equal up to
Null
16^8 64^5 = (4^3)^5 = 4^15 16^8=(4^2)^8 = 4^16
360°
Prime numbers (2 - 3 - 5 - 7 - 11 - 13 - 17 - 19 - 23)
20. 5/6 in percent?
83.333%
Cd
No - only like radicals can be added.
2(pi)r
21. What is the graph of f(x) shifted upward c units or spaces?
F(x) + c
Positive
[(7+ sqrt93) /2] - [(7 - sqrt93) / 2]
5
22. 0^0
Right
Undefined
Even prime number
Distance=rate×time or d=rt
23. If a is inversely porportional to b - what does it equal?
Ab=k (k is a constant)
A tangent is a line that only touches one point on the circumference of a circle.
2²
X
24. 1 is an
(a - b)(a + b)
Positive
Positive
ODD number
25. a^0 =
x^(4+7) = x^11
72
1
16.6666%
26. Slope of any line that goes up from left to right
90
Positive
28
(pi)r²
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)]?
180
360°
The sum of the digits is a multiple of 9.
True
28. How many multiples does a given number have?
2 & 3/7
1/a^6
Infinite.
(distance)/(rate) d/r
29. Slope given 2 points
1/x
D=rt so r= d/t and t=d/r
M= (Y1-Y2)/(X1-X2)
x²-2xy+y²
30. Define a 'Term' -
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)
Negative
M= (Y1-Y2)/(X1-X2)
Undefined
31. Circumference of a circle
C = 2(pi)r
2(pi)r
180°
Straight Angle
32. Volume of a rectangular box
2 & 3/7
Circumference = Diameter(pi). Use pythagorean theorem to find the diagonal of the square (the diameter).
V=Lwh
Do not have slopes!
33. What is the area of a regular hexagon with side 6?
= (actual decrease/Original amount) x 100%
P(E) = ø
4096
54sqrt3. (divide the hexagon into 6 congruent equilateral triangles.
34. How to find the circumference of a circle which circumscribes a square?
Null
Circumference = Diameter(pi). Use pythagorean theorem to find the diagonal of the square (the diameter).
(b + c)
Even prime number
35. Circumference of a circle?
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.)
Diameter(Pi)
The direction of the inequality is reversed.
Edge³
36. First 10 prime #s
2 - 3 - 5 - 7 - 11 - 13 - 17 - 19 - 23 - 29
x - x+1 - x+2
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...
The shortest arc between points A and B on a circle'S diameter.
37. How many digits are there between the decimal point and the first even digit in the decimal equivalent of 1/[(2^8)(5^3)]
Null
C=2 x pi x r OR pi x D
0
18
38. What is a central angle?
The sum of the digits is a multiple of 9.
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...
1 - 4 - 9 - 16 - 25 - 36 - 49 - 64 - 81 - 100 - 121 - 144 - 169 - 196 - 225
A central angle is an angle formed by 2 radii.
39. One is (a prime or not?)
NOT A PRIME
1.0843 X 10^11
12! / 5!7! = 792
12.5%
40. 20<all primes<30
23 - 29
True
2.592 kg
Pi(diameter)
41. Can you add sqrt 3 and sqrt 5?
An is positive
No - only like radicals can be added.
A=(base)(height)
27^(-4)
42. factored binomial product of (x-y)²
Smallest positive integer
12! / 5!7! = 792
20.5
x²-2xy+y²
43. If a<b - then
12! / 5!7! = 792
Lies opposite the greater angle
1 - P(E)
A+c<b+c
44. The Denominator can never
Sum of digits is a multiple of 3 and the last digit is even.
360/n
Do not have slopes!
Be Zero!
45. Rate
A tangent is a line that only touches one point on the circumference of a circle.
Yes - because you can factor out a perfect square (36). Sqrt(36 x 2) = sqrt36 X sqrt2 = 6sqrt2.
2sqrt6
D/t (distance)/(time)
46. What is the name of set with a number of elements which cannot be counted?
1/2 times 7/3
F(x + c)
y2-y1/x2-x1
An infinite set.
47. a/Ø
P= 2L + 2w
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)
Null
55%
48. 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)?
1:sqrt3:2
(p + q)/5
y = (x + 5)/2
12.5%
49. What is an isoceles triangle?
A=½bh
Two equal sides and two equal angles.
x^(6-3) = x^3
y = (x + 5)/2
50. (a^-1)/a^5
Smallest positive integer
Diameter(Pi)
1/a^6
C = 2(pi)r