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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. In a Rectangle - each angles measures
An arc is a portion of a circumference of a circle.
Be Zero!
90°
Cross multiplication a/b=c/d 4/6=10/15 4(15)=6(10) 60=60
2. If a product of two numbers is Ø - one number must be
90
360/n
Edge³
Ø
3. If the 80th percentile of the measurements is 72degrees - about how many measurments are between 69 degrees and 72 degrees? Round your answer to the nearest tenth
18
8
9
Right
4. If 10800 is invested at a simple interest rate of 4% - what is the value of the investment after 18 months?
Arc length = (n/360) x pi(2r) where n is the number of degrees.
(base*height) / 2
$11 -448
7 / 1000
5. 1/6 in percent?
Yes - because you can factor out a perfect square (36). Sqrt(36 x 2) = sqrt36 X sqrt2 = 6sqrt2.
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)
16.6666%
A chord is a line segment joining two points on a circle.
6. 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?
Do not have slopes!
2.592 kg
52
An expression with just one term (-6x - 2a^2)
7. Slope of any line that goes down as you move from left to right is
Negative
55%
Two angles whose sum is 90.
12! / 5!7! = 792
8. The percent decrease of a quantity
An infinite set.
A subset.
= (actual decrease/Original amount) x 100%
All numbers multiples of 1.
9. What are the integers?
All numbers multiples of 1.
Infinite.
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...
Members or elements
10. For any number x
Can be negative - zero - or positive
4725
(a + b)^2
3
11. What is the graph of f(x) shifted left c units or spaces?
An angle which is supplementary to an interior angle.
F(x + c)
A reflection about the origin.
1/2 times 7/3
12. If a pair of parallel lines is cut by a transversal that'S not perpendicular - the sum of any acute angle and any obtuse angle is
y2-y1/x2-x1
1
180
y/x is a constant
13. If a is negative and n is even then an is (positive or negative?)
A tangent is a line that only touches one point on the circumference of a circle.
83.333%
1
An is positive
14. factored binomial product of (x-y)²
x²-2xy+y²
A<-b
Ø Ø=Ø
An arc is a portion of a circumference of a circle.
15. What is the graph of f(x) shifted upward c units or spaces?
The greatest value minus the smallest.
1
90
F(x) + c
16. Suppose that the graph of f(x) is the result of sliding the graph of y=2x^2 down 3 units of spaces. What is the new equation?
Do not have slopes!
y = 2x^2 - 3
The set of elements which can be found in either A or B.
Two angles whose sum is 90.
17. Volume of a rectangular box
An angle which is supplementary to an interior angle.
V=Lwh
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)
27
18. Describe the relationship between the graphs of x^2 and (1/2)x^2
$3 -500 in the 9% and $2 -500 in the 7%.
180
The interesection of A and B.
The second graph is less steep.
19. Ø is a multiple of
A set with no members - denoted by a circle with a diagonal through it.
Two (Ø×2=Ø)
Every number
Members or elements
20. When does a function automatically have a restricted domain (2)?
.0004809 X 10^11
Parallelogram
When we need to avoid having a zero in the denominator or avoid taking the square root of a number.
1:sqrt3:2
21. Ø Is
No - only like radicals can be added.
Two (Ø×2=Ø)
EVEN
The steeper the slope.
22. The Perimeter of a rectangle
The steeper the slope.
P=2(l+w)
Even
y = (x + 5)/2
23. Volume of a rectangular solid
P= 2L + 2w
9
(length)(width)(height)
(a - b)^2
24. Simplify the expression (p^2 - q^2)/ -5(q - p)
A-b is positive
Multiply by 1+x% i.e. 100 x (1+50%)=100x1.5=150
360°
(p + q)/5
25. When dividing exponential #s with the same base - you do this to the exponents...
5 OR -5
360°
Subtract them. i.e (5^7)/(5^3)= 5^4
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)
26. A quadrilateral where two diagonals bisect each other
3x - 4x - 5x
Parallelogram
x²-2xy+y²
Negative
27. The product of odd number of negative numbers
Negative
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.)
Cross multiplication a/b=c/d 4/6=10/15 4(15)=6(10) 60=60
2²
28. 10<all primes<20
55%
11 - 13 - 17 - 19
3x - 4x - 5x
1.0843 X 10^11
29. What is the set of elements which can be found in either A or B?
The sum of the digits is a multiple of 9.
3x - 4x - 5x
The union of A and B.
A chord is a line segment joining two points on a circle.
30. Area of a triangle?
(base*height) / 2
The objects within a set.
P= 2L + 2w
Cross multiplication a/b=c/d 4/6=10/15 4(15)=6(10) 60=60
31. Can you simplify sqrt72?
12sqrt2
The sum of digits is divisible by 9.
Yes - because you can factor out a perfect square (36). Sqrt(36 x 2) = sqrt36 X sqrt2 = 6sqrt2.
A reflection about the origin.
32. How many multiples does a given number have?
The empty set - denoted by a circle with a diagonal through it.
Infinite.
F(x) + c
4096
33. Can you add sqrt 3 and sqrt 5?
an angle that is less than 90°
No - only like radicals can be added.
The set of elements which can be found in either A or B.
Positive or Negative
34. Circumference of a Circle
No - only like radicals can be added.
The two xes after factoring.
C=2 x pi x r OR pi x D
70
35. 8.84 / 5.2
Ab+ac
y/x is a constant
[(7+ sqrt93) /2] - [(7 - sqrt93) / 2]
1.7
36. If a is inversely porportional to b - what does it equal?
A = pi(r^2)
Ab=k (k is a constant)
Be Zero!
Members or elements
37. (x^2)^4
(a + b)^2
10
x^(2(4)) =x^8 = (x^4)^2
(x+y)(x-y)
38. If y is directly proportional to x - what does it equal?
M= (Y1-Y2)/(X1-X2)
y/x is a constant
Lies opposite the greater angle
The direction of the inequality is reversed.
39. Reduce: 4.8 : 0.8 : 1.6
D/t (distance)/(time)
x^(2(4)) =x^8 = (x^4)^2
6 : 1 : 2
Add them. i.e. (5^7) * (5^3) = 5^10
40. Ø is a multiple of
[(7+ sqrt93) /2] - [(7 - sqrt93) / 2]
Every number
4:5
Yes - like radicals can be added/subtracted.
41. a/Ø
Two angles whose sum is 90.
12.5%
No - only like radicals can be added.
Null
42. The four angles around a point measure y - 2y - 35 and 55 respectively. What is the value of y?
The interesection of A and B.
A natural number greater than 1 that has no positive divisors other than 1 and itself
90
A reflection about the origin.
43. What is the order of operations?
2²
zero
PEMDAS (Parentheses Exponents Multiplication/Division Addition/Subtraction)
23 - 29
44. What is a tangent?
A tangent is a line that only touches one point on the circumference of a circle.
Add them. i.e. (5^7) * (5^3) = 5^10
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...
Do not have slopes!
45. How to find the circumference of a circle which circumscribes a square?
An angle which is supplementary to an interior angle.
Positive
Circumference = Diameter(pi). Use pythagorean theorem to find the diagonal of the square (the diameter).
Ab=k (k is a constant)
46. An Angle that'S 180°
Straight Angle
180 degrees
x - x(SR3) - 2x
2^9 / 2 = 256
47. The negative exponent x?n is equivalent to what?
A subset.
A percent is a fraction whose denominator is 100.
Even
1/xn i.e. 5^-3 = 1/(5^3) = 1/ 125 = .008
48. Formula for the area of a circle?
A = pi(r^2)
0
x - x+1 - x+2
Subtract them. i.e (5^7)/(5^3)= 5^4
49. factored binomial product of (x+y)²
23 - 29
All real numbers which can'T be expressed as a ratio of two integers - positive and negative (pi - -sqrt3)
The interesection of A and B.
x²+2xy+y²
50. What is a subset?
Positive
Smallest positive integer
Even prime number
A grouping of the members within a set based on a shared characteristic.