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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 is a major arc?
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2. Simplify 4sqrt21 X 5sqrt2 / 10sqrt7
Ø
(a + b)^2
2sqrt6
1:sqrt3:2
3. The sum of the measures of the n angles in a polygon with n sides
A tangent is a line that only touches one point on the circumference of a circle.
Parallelogram
90
(n-2) x 180
4. Describe the relationship between the graphs of x^2 and (1/2)x^2
A-b is positive
12.5%
The second graph is less steep.
A grouping of the members within a set based on a shared characteristic.
5. How to determine percent decrease?
(amount of decrease/original price) x 100%
A=½bh
3 - -3
P= 2L + 2w
6. What does scientific notation mean?
Expressing a number as the product of a decimal between 1 and 10 - and a power of 10.
The point of intersection of the systems.
An expression with just one term (-6x - 2a^2)
x²+2xy+y²
7. Factor a^2 + 2ab + b^2
Right
10! / 3!(10-3)! = 120
Indeterminable.
(a + b)^2
8. a^2 + 2ab + b^2
Circumference = Diameter(pi). Use pythagorean theorem to find the diagonal of the square (the diameter).
(a + b)^2
An arc is a portion of a circumference of a circle.
N! / (n-k)!
9. What is the common monomial factor in the expression 4(c^3)d - (c^2)(d^2) + 2cd?
N! / (k!)(n-k)!
Cd
Yes - like radicals can be added/subtracted.
Reciprocal
10. 2 is the only
55%
Distance=rate×time or d=rt
Even prime number
23 - 29
11. 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?
1:1:sqrt2
1
N! / (n-k)!
x²+2xy+y²
12. What is it called when a point is reflected to the quadrant opposite it (i.e. I to III or II to IV)?
A reflection about the origin.
A percent is a fraction whose denominator is 100.
(base*height) / 2
(a + b)^2
13. What is the ratio of the surface area of a cube with an edge of 10 to the surface area of a rectangular solid with dimensions 2 - 4 - and 6?
Negative
75:11
500
All numbers which can be expressed as a ratio of two integers. (All integers and fractions.) (-2 - 1 - .25 - 1/2)
14. What percent of 40 is 22?
55%
16.6666%
x²+2xy+y²
Every number
15. The Perimeter of a rectangle
P=2(l+w)
61 - 67
Its last two digits are divisible by 4.
Straight Angle
16. 30 60 90
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
$11 -448
180
17. Ø is a multiple of
The longest arc between points A and B on a circle'S diameter.
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)
Every number
A multiple of every integer
18. In similar hexagons - the ratio of the areas is 16:25. What is the ratio of their corresponding sides?
A+c<b+c
4:5
4725
V=Lwh
19. 1n
Factors are few - multiples are many.
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
1
Distance=rate×time or d=rt
20. If y is directly proportional to x - what does it equal?
6
Factors are few - multiples are many.
M
y/x is a constant
21. 7/8 in percent?
87.5%
Undefined - because we can'T divide by 0.
1 - 4 - 9 - 16 - 25 - 36 - 49 - 64 - 81 - 100 - 121 - 144 - 169 - 196 - 225
M
22. A cylinder has a surface area of 22pi. If the cylinder has a height of 10 - what is the radius?
The two xes after factoring.
9
2sqrt6
1
23. 25+2³
28
x - x+1 - x+2
(a + b)^2
11 - 13 - 17 - 19
24. 7 divided by Ø
3
The second graph is less steep.
Its divisible by 2 and by 3.
Null
25. 40 < all primes<50
x²-y²
Pi(diameter)
41 - 43 - 47
1
26. If Event is impossible
Undefined
P(E) = ø
1
An isosceles right triangle.
27. What is the 'Solution' for a set of inequalities.
500
Two angles whose sum is 90.
Sector area = (n/360) X (pi)r^2
The overlapping sections.
28. If a lamp decreases to $80 - from $100 - what is the decrease in price?
Indeterminable.
y = 2x^2 - 3
Sum of digits is a multiple of 3 and the last digit is even.
= (actual decrease/Original amount) x100% = 20/100x100% = 20%
29. Formula to find a circle'S circumference from its radius?
Undefined - because we can'T divide by 0.
P=4s (s=side)
5
C = 2(pi)r
30. -3²
1
9
The objects within a set.
Two angles whose sum is 90.
31. 1/2 divided by 3/7 is the same as
1
= (actual decrease/Original amount) x100% = 20/100x100% = 20%
3
1/2 times 7/3
32. A cylinder has surface area 22pi. If the cylinder has a height of 10 - what is its radius?
Sum of digits is a multiple of 3 and the last digit is even.
All numbers multiples of 1.
Subtract them. i.e (5^7)/(5^3)= 5^4
1
33. 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))?
4:5
20.5
The overlapping sections.
Two angles whose sum is 90.
34. What are the roots of the quadrinomial x^2 + 2x + 1?
x²-2xy+y²
The two xes after factoring.
180
2²
35. What are the integers?
All numbers multiples of 1.
= 25%. = (actual increase/original amount) x 100% = 20/80 x 100% = 1/4 x 100% = 25%
x^(2(4)) =x^8 = (x^4)^2
P(E) = number of favorable outcomes/total number of possible outcomes
36. What is the ratio of the sides of a 30-60-90 triangle?
2^9 / 2 = 256
Reciprocal
(a - b)(a + b)
1:sqrt3:2
37. The product of any number x and its reciprocal
Expressing a number as the product of a decimal between 1 and 10 - and a power of 10.
Ab=k (k is a constant)
1
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...
38. Define an 'expression'.
1
Yes - because you can factor out a perfect square (36). Sqrt(36 x 2) = sqrt36 X sqrt2 = 6sqrt2.
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)
1/2 times 7/3
39. Pi is a ratio of what to what?
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40. Slope of any line that goes down as you move from left to right is
Undefined
Ø
(p + q)/5
Negative
41. 30< all primes<40
10
x^(4+7) = x^11
31 - 37
11 - 13 - 17 - 19
42. a^0 =
12.5%
1
Relationship cannot be determined (what if x is negative?)
360/n
43. What is the intersection of A and B?
20.5
The set of elements found in both A and B.
1
8
44. 2³×7³
(2x7)³
An infinite set.
(length)(width)(height)
x²-y²
45. If Madagascar'S exports totaled 1.3 billion in 2009 - and 4% came from China - what was the value in millions of the country'S exports to China?
2 & 3/7
52
F(x-c)
An angle which is supplementary to an interior angle.
46. A number is divisible by 3 if ...
12sqrt2
The sum of its digits is divisible by 3.
Its last two digits are divisible by 4.
A set with no members - denoted by a circle with a diagonal through it.
47. Ø Is neither
$3 -500 in the 9% and $2 -500 in the 7%.
Positive or Negative
8
Ø
48. The Perimeter of a Square
P=4s (s=side)
A percent is a fraction whose denominator is 100.
D=rt so r= d/t and t=d/r
All real numbers which can'T be expressed as a ratio of two integers - positive and negative (pi - -sqrt3)
49. In a rectangle - all angles are
Even prime number
Right
x - x+1 - x+2
26
50. When dividing exponential #s with the same base - you do this to the exponents...
When we need to avoid having a zero in the denominator or avoid taking the square root of a number.
Negative
Subtract them. i.e (5^7)/(5^3)= 5^4
71 - 73 - 79