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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 the 'domain' of a function?
Subtract them. i.e (5^7)/(5^3)= 5^4
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
The set of input values for a function.
ODD number
2. What is the graph of f(x) shifted right c units or spaces?
1.7
The set of elements which can be found in either A or B.
X
F(x-c)
3. (x-y)²
x²-2xy+y²
72
True
288 (8 9 4)
4. 60 < all primes <70
10! / (10-3)! = 720
13pi / 2
61 - 67
62.5%
5. What are the rational numbers?
P= 2L + 2w
All numbers which can be expressed as a ratio of two integers. (All integers and fractions.) (-2 - 1 - .25 - 1/2)
All real numbers which can'T be expressed as a ratio of two integers - positive and negative (pi - -sqrt3)
A=½bh
6. x^6 / x^3
Circumference = Diameter(pi). Use pythagorean theorem to find the diagonal of the square (the diameter).
Relationship cannot be determined (what if x is negative?)
N! / (n-k)!
x^(6-3) = x^3
7. If 8 schools are in a conference - how many games are played if each team plays each other exactly once?
Reciprocal
28. n = 8 - k = 2. n! / k!(n-k)!
27
28
8. Formula to calculate arc length?
4.25 - 6 - 22
N! / (k!)(n-k)!
26
Arc length = (n/360) x pi(2r) where n is the number of degrees.
9. 1:1:sqrt2 is the ratio of the sides of what kind of triangle?
(rate)(time) d=rt
A = length x width
6
An isosceles right triangle.
10. the measure of a straight angle
PEMDAS (Parentheses Exponents Multiplication/Division Addition/Subtraction)
441000 = 1 10 10 10 21 * 21
An isosceles right triangle.
180°
11. Slope of any line that goes down as you move from left to right is
The empty set - denoted by a circle with a diagonal through it.
A percent is a fraction whose denominator is 100.
Infinite.
Negative
12. Time
= 25%. = (actual increase/original amount) x 100% = 20/80 x 100% = 1/4 x 100% = 25%
52
x - x+1 - x+2
(distance)/(rate) d/r
13. Simplify the expression (p^2 - q^2)/ -5(q - p)
0
9
(p + q)/5
A²+b²=c²
14. To increase a number by x%
The sum of digits is divisible by 9.
A central angle is an angle formed by 2 radii.
An isosceles right triangle.
Multiply by 1+x% i.e. 100 x (1+50%)=100x1.5=150
15. How many sides does a hexagon have?
Factors are few - multiples are many.
6
180 degrees
V=side³
16. What is the 'Range' of a function?
A-b is positive
12sqrt2
The set of output values for a function.
(rate)(time) d=rt
17. Define an 'expression'.
1.0843 X 10^11
Do not have slopes!
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)
Its divisible by 2 and by 3.
18. What is a tangent?
A tangent is a line that only touches one point on the circumference of a circle.
NOT A PRIME
A reflection about the axis.
zero
19. What is the area of a regular hexagon with side 6?
A chord is a line segment joining two points on a circle.
The sum of the digits is a multiple of 9.
54sqrt3. (divide the hexagon into 6 congruent equilateral triangles.
x²-y²
20. formula for volume of a rectangular solid
C=2 x pi x r OR pi x D
V=l×w×h
(a + b)^2
(length)(width)(height)
21. 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?
(length)(width)(height)
N! / (n-k)!
1/xn i.e. 5^-3 = 1/(5^3) = 1/ 125 = .008
A=½bh
22. The sum of all angles around a point
Prime numbers (2 - 3 - 5 - 7 - 11 - 13 - 17 - 19 - 23)
28
Be Zero!
360°
23. 1/6 in percent?
Subtract them. i.e (5^7)/(5^3)= 5^4
16.6666%
Multiply by 1+x% i.e. 100 x (1+50%)=100x1.5=150
Do not have slopes!
24. Nine coins are tossed simultaneously. In how many of the outcomes will the fourth coin tossed show heads?
F(x) + c
2^9 / 2 = 256
27^(-4)
288 (8 9 4)
25. What is the set of elements which can be found in either A or B?
(a - b)(a + b)
All real numbers which can'T be expressed as a ratio of two integers - positive and negative (pi - -sqrt3)
Ø
The union of A and B.
26. What is the 'Solution' for a set of inequalities.
4096
3/2 - 5/3
Do not have slopes!
The overlapping sections.
27. 10^6 has how many zeroes?
37.5%
x(x - y + 1)
6
N! / (n-k)!
28. Area of a Parallelogram:
x^(6-3) = x^3
.0004809 X 10^11
A=(base)(height)
87.5%
29. If a is positive - an is
x²-y²
Positive
C = 2(pi)r
(b + c)
30. Probability of Event all cases
(n-2) x 180
The set of elements found in both A and B.
180°
Ø=P(E)=1
31. 30 60 90
Expressing a number as the product of a decimal between 1 and 10 - and a power of 10.
x²-y²
3 - 4 - 5
(a - b)(a + b)
32. What are the irrational numbers?
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33. (x+y)²
x^(4+7) = x^11
The sum of digits is divisible by 9.
x²+2xy+y²
A central angle is an angle formed by 2 radii.
34. What is the sum of the angles of a triangle?
180 degrees
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
3
500
35. Number of degrees in a triangle
Diameter(Pi)
180
A subset.
All real numbers which can'T be expressed as a ratio of two integers - positive and negative (pi - -sqrt3)
36. What is a set with no members called?
Positive
The empty set - denoted by a circle with a diagonal through it.
F(x) - c
90
37. Define a 'monomial'
An expression with just one term (-6x - 2a^2)
y2-y1/x2-x1
(length)(width)(height)
N! / (n-k)!
38. -3²
8
6
180 degrees
9
39. 30< all primes<40
31 - 37
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)
83.333%
1/xn i.e. 5^-3 = 1/(5^3) = 1/ 125 = .008
40. What is a major arc?
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41. Pi is a ratio of what to what?
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42. 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)]?
An arc is a portion of a circumference of a circle.
True
1
Reciprocal
43. Which is greater? 200x^295 or 10x^294?
13pi / 2
Relationship cannot be determined (what if x is negative?)
Two angles whose sum is 90.
20.5
44. 50 < all primes< 60
53 - 59
26
1/2 times 7/3
5
45. For any number x
Can be negative - zero - or positive
P=2(l+w)
True
70
46. 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)?
N! / (k!)(n-k)!
83.333%
y = (x + 5)/2
9 & 6/7
47. 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
55%
1
1
48. -3³
5
Smallest positive integer
27
(b + c)
49. Consecutive integers
PEMDAS (Parentheses Exponents Multiplication/Division Addition/Subtraction)
The shortest arc between points A and B on a circle'S diameter.
x - x+1 - x+2
1
50. The product of any number x and its reciprocal
360/n
12! / 5!7! = 792
1
41 - 43 - 47