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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. -3²
9
360°
5 - 12 - 13
(rate)(time) d=rt
2. 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)
(a + b)^2
4.25 - 6 - 22
The second graph is less steep.
A+c<b+c
3. If 8 schools are in a conference - how many games are played if each team plays each other exactly once?
Positive
3 - -3
28. n = 8 - k = 2. n! / k!(n-k)!
A= (1/2) b*h
4. What is a percent?
A percent is a fraction whose denominator is 100.
A = pi(r^2)
1
180°
5. Evaluate and write as a mixed number: 2/7 - 3/21 + 2 & 4/14
2 & 3/7
(pi)r²
75:11
The direction of the inequality is reversed.
6. 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?
M
441000 = 1 10 10 10 21 * 21
An arc is a portion of a circumference of a circle.
Multiply by 1-x% i.e. 100 x (1-50%)=100x.5=50
7. Convert 0.7% to a fraction.
16.6666%
7 / 1000
Can be negative - zero - or positive
N! / (n-k)!
8. What is the 'Range' of a series of numbers?
The greatest value minus the smallest.
A 30-60-90 triangle.
x²+2xy+y²
Even prime number
9. Area of a rectangle
A = length x width
Ø
.0004809 X 10^11
9 & 6/7
10. Ø is a multiple of
A=pi*(r^2)
Every number
A=(base)(height)
Ø
11. 70 < all primes< 80
1.7
71 - 73 - 79
Ø=P(E)=1
y = 2x^2 - 3
12. The reciprocal of any non-zero number is
The sum of digits is divisible by 9.
A = pi(r^2)
1/x
180 degrees
13. Legs 6 - 8. Hypotenuse?
31 - 37
Yes - like radicals can be added/subtracted.
83.333%
10
14. Area of a circle
M= (Y1-Y2)/(X1-X2)
54sqrt3. (divide the hexagon into 6 congruent equilateral triangles.
(pi)r²
(rate)(time) d=rt
15. What is the 'domain' of a function?
The set of input values for a function.
Ø=P(E)=1
Subtract them. i.e (5^7)/(5^3)= 5^4
12! / 5!7! = 792
16. To decrease a number by x%
27
Multiply by 1-x% i.e. 100 x (1-50%)=100x.5=50
Arc length = (n/360) x pi(2r) where n is the number of degrees.
12! / 5!7! = 792
17. Formula for the area of a sector of a circle?
A+c<b+c
A subset.
Sector area = (n/360) X (pi)r^2
10! / 3!(10-3)! = 120
18. What is an exterior angle?
An angle which is supplementary to an interior angle.
Positive
1
(p + q)/5
19. What is the measure of an exterior angle of a regular pentagon?
72
y = 2x^2 - 3
D=rt so r= d/t and t=d/r
2
20. 1:1:sqrt2 is the ratio of the sides of what kind of triangle?
2 - 3 - 5 - 7 - 11 - 13 - 17 - 19 - 23 - 29
(x+y)(x+y)
6
An isosceles right triangle.
21. What is the graph of f(x) shifted upward c units or spaces?
1/x
(a - b)^2
1/2 times 7/3
F(x) + c
22. Describe the relationship between 3x^2 and 3(x - 1)^2
Smallest positive integer
The graph of 3(x - 1)^2 is a translation (shift) of the graph one unit or space to the right.
52
(a - b)(a + b)
23. factored binomial product of (x+y)²
x²+2xy+y²
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.)
A=(base)(height)
Prime numbers (2 - 3 - 5 - 7 - 11 - 13 - 17 - 19 - 23)
24. 1/8 in percent?
1 - 4 - 9 - 16 - 25 - 36 - 49 - 64 - 81 - 100 - 121 - 144 - 169 - 196 - 225
A grouping of the members within a set based on a shared characteristic.
A=pi*(r^2)
12.5%
25. The Perimeter of a Square
When we need to avoid having a zero in the denominator or avoid taking the square root of a number.
72
Its divisible by 2 and by 3.
P=4s (s=side)
26. What is the intersection of A and B?
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)
90
The set of elements found in both A and B.
Diameter(Pi)
27. 30 60 90
... the square of the ratios of the corresponding sides.
x - x(SR3) - 2x
10! / 3!(10-3)! = 120
5 - 12 - 13
28. Evaluate 4/11 + 11/12
Infinite.
1 & 37/132
N! / (n-k)!
P(E) = ø
29. Consecutive integers
Can be negative - zero - or positive
V=Lwh
x - x+1 - x+2
1
30. 1 is an
ODD number
1.0843 X 10^11
A chord is a line segment joining two points on a circle.
Every number
31. What are complementary angles?
Two angles whose sum is 90.
23 - 29
Right
Subtract them. i.e (5^7)/(5^3)= 5^4
32. An Angle that'S 180°
(a - b)(a + b)
Straight Angle
Two (Ø×2=Ø)
F(x) - c
33. What is a major arc?
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34. A number is divisible by 3 if ...
The sum of its digits is divisible by 3.
Indeterminable.
6
8
35. First 10 prime #s
2 - 3 - 5 - 7 - 11 - 13 - 17 - 19 - 23 - 29
Circumference = Diameter(pi). Use pythagorean theorem to find the diagonal of the square (the diameter).
1
The objects within a set.
36. The ratio of the areas of two similar polygons is ...
Arc length = (n/360) x pi(2r) where n is the number of degrees.
(a + b)^2
... the square of the ratios of the corresponding sides.
A set with a number of elements which can be counted.
37. The Denominator can never
288 (8 9 4)
Expressing a number as the product of a decimal between 1 and 10 - and a power of 10.
Be Zero!
PEMDAS (Parentheses Exponents Multiplication/Division Addition/Subtraction)
38. In any polygon - all external angles equal up to
1
Parallelogram
(a - b)(a + b)
360°
39. What is the name of set with a number of elements which cannot be counted?
Smallest positive integer
x(x - y + 1)
An infinite set.
62.5%
40. Circumference of a circle
Its last two digits are divisible by 4.
P=2(l+w)
An isosceles right triangle.
2(pi)r
41. 30 60 90
A=(base)(height)
3x - 4x - 5x
2(pi)r
A=½bh
42. What are the real numbers?
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.)
The greatest value minus the smallest.
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)
All real numbers which can'T be expressed as a ratio of two integers - positive and negative (pi - -sqrt3)
43. Slope of any line that goes down as you move from left to right is
A = pi(r^2)
Can be negative - zero - or positive
Negative
A-b is positive
44. One is (a prime or not?)
3/2 - 5/3
Ø Ø=Ø
Members or elements
NOT A PRIME
45. Slope given 2 points
Its last two digits are divisible by 4.
[(7+ sqrt93) /2] - [(7 - sqrt93) / 2]
7 / 1000
M= (Y1-Y2)/(X1-X2)
46. What is a tangent?
A natural number greater than 1 that has no positive divisors other than 1 and itself
Cd
1 & 37/132
A tangent is a line that only touches one point on the circumference of a circle.
47. What is a subset?
Two angles whose sum is 180.
A grouping of the members within a set based on a shared characteristic.
(amount of decrease/original price) x 100%
(p + q)/5
48. Area of a Parallelogram:
(pi)r²
y/x is a constant
6 : 1 : 2
A=(base)(height)
49. What are the roots of the quadrinomial x^2 + 2x + 1?
7 / 1000
... the square of the ratios of the corresponding sides.
The two xes after factoring.
Cd
50. a^2 + 2ab + b^2
All numbers multiples of 1.
(a + b)^2
1.7
1