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Test your basic knowledge |
GRE Math: All In One
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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. 1:1:sqrt2 is the ratio of the sides of what kind of triangle?
An isosceles right triangle.
360°
The objects within a set.
Even
2. Factor x^2 - xy + x.
87.5%
A natural number greater than 1 that has no positive divisors other than 1 and itself
x(x - y + 1)
Can be negative - zero - or positive
3. The important properties of a 45-45-90 triangle?
The triangle is a right triangle. The triangle is isosceles (AC=BC). The ratio of the lengths of the three sides is x:x:xv2.
Two angles whose sum is 90.
(12/2) x (sqrt15 / sqrt5) = 6sqrt3
1 - 4 - 9 - 16 - 25 - 36 - 49 - 64 - 81 - 100 - 121 - 144 - 169 - 196 - 225
4. If the two sides of a triangle are unequal then the longer side.................
P(E) = ø
Indeterminable.
Lies opposite the greater angle
3/2 - 5/3
5. For any number x
10! / (10-3)! = 720
Can be negative - zero - or positive
(a + b)^2
3
6. Nine coins are tossed simultaneously. In how many of the outcomes will the fourth coin tossed show heads?
Even prime number
2^9 / 2 = 256
23 - 29
The second graph is less steep.
7. A number is divisible by 9 if...
1
The sum of digits is divisible by 9.
The sum of the digits is a multiple of 9.
90pi
8. Solve the quadratic equation ax^2 + bx + c= 0
1/x
x = [(-b)+/- (sqrt b^2 - 4ac)]/2a
The set of input values for a function.
Two angles whose sum is 90.
9. A number is divisible by 3 if ...
31 - 37
(2x7)³
The sum of its digits is divisible by 3.
180°
10. formula for the volume of a cube
A percent is a fraction whose denominator is 100.
The graph of 3(x - 1)^2 is a translation (shift) of the graph one unit or space to the right.
V=side³
1
11. Which is greater? 27^(-4) or 9^(-8)
The longest side is opposite the largest (biggest) angle. The shortest side is opposite the smallest angle. Sides with the same lengths are opposite angles with the same measure.
P=2(l+w)
27^(-4)
180°
12. The consecutive angles in a parallelogram equal
C=2 x pi x r OR pi x D
180°
A percent is a fraction whose denominator is 100.
180 degrees
13. The negative exponent x?n is equivalent to what?
P(E) = 1/1 = 1
A tangent is a line that only touches one point on the circumference of a circle.
1/xn i.e. 5^-3 = 1/(5^3) = 1/ 125 = .008
1/x
14. Circumference of a circle
A<-b
2(pi)r
75:11
18
15. One is (a prime or not?)
NOT A PRIME
Factors are few - multiples are many.
The shortest arc between points A and B on a circle'S diameter.
x - x+1 - x+2
16. The product of odd number of negative numbers
Diameter(Pi)
C=2 x pi x r OR pi x D
Negative
x²+2xy+y²
17. For similar triangles - the ratio of their corresponding sides is 2:3. What is the ratio of their areas?
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...
28. n = 8 - k = 2. n! / k!(n-k)!
4:9. The ratio of the areas of two similar triangles equals the square of the ratio of the corresponding sides.
x²+2xy+y²
18. For what values should the domain be restricted for the function f(x) = sqrt(x + 8)
A set with no members - denoted by a circle with a diagonal through it.
Its last two digits are divisible by 4.
8
55%
19. What is an isoceles triangle?
C=2 x pi x r OR pi x D
Multiply by 1-x% i.e. 100 x (1-50%)=100x.5=50
y = (x + 5)/2
Two equal sides and two equal angles.
20. Area of a triangle
1
The graph of 3(x - 1)^2 is a translation (shift) of the graph one unit or space to the right.
A= (1/2) b*h
Can be negative - zero - or positive
21. What is the set of elements found in both A and B?
The interesection of A and B.
10! / 3!(10-3)! = 120
1:1:sqrt2
A+c<b+c
22. What is it called when a point is reflected to the quadrant opposite it (i.e. I to III or II to IV)?
x²-2xy+y²
A set with no members - denoted by a circle with a diagonal through it.
A reflection about the origin.
The sum of its digits is divisible by 3.
23. 1/Ø=null If a>b then
90pi
55%
54sqrt3. (divide the hexagon into 6 congruent equilateral triangles.
A<-b
24. Evaluate 4/11 + 11/12
Ab-ac
1 & 37/132
1.0843 X 10^11
$3 -500 in the 9% and $2 -500 in the 7%.
25. Volume of a cube
V=Lwh
P(E) = number of favorable outcomes/total number of possible outcomes
Edge³
48
26. A cylinder has a surface area of 22pi. If the cylinder has a height of 10 - what is the radius?
1:sqrt3:2
1
3
C = (pi)d
27. binomial product of (x+y)(x-y)
Can be negative - zero - or positive
4:5
x²-y²
48
28. 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)
27
26
4.25 - 6 - 22
The shortest arc between points A and B on a circle'S diameter.
29. In a Regular Polygon - the measure of each exterior angle
360/n
Two angles whose sum is 180.
Every number
C=2 x pi x r OR pi x D
30. (2²)³
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
26
P= 2L + 2w
The set of elements which can be found in either A or B.
31. 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)?
Null
Every number
y = (x + 5)/2
Multiply by 1-x% i.e. 100 x (1-50%)=100x.5=50
32. 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
The overlapping sections.
18
27^(-4)
The union of A and B.
33. Perfect Squares 1-15
1 - 4 - 9 - 16 - 25 - 36 - 49 - 64 - 81 - 100 - 121 - 144 - 169 - 196 - 225
3
The shortest arc between points A and B on a circle'S diameter.
A reflection about the origin.
34. a^2 - b^2
Can be negative - zero - or positive
(distance)/(rate) d/r
Add them. i.e. (5^7) * (5^3) = 5^10
(a - b)(a + b)
35. (12sqrt15) / (2sqrt5) =
48
(12/2) x (sqrt15 / sqrt5) = 6sqrt3
= (actual decrease/Original amount) x100% = 20/100x100% = 20%
The two xes after factoring.
36. 1/6 in percent?
2(pi)r
N! / (k!)(n-k)!
16.6666%
y2-y1/x2-x1
37. What is a finite set?
Negative
A set with a number of elements which can be counted.
Circumference = Diameter(pi). Use pythagorean theorem to find the diagonal of the square (the diameter).
Multiply by 1-x% i.e. 100 x (1-50%)=100x.5=50
38. The objects in a set are called two names:
Members or elements
52
x²+2xy+y²
The longest arc between points A and B on a circle'S diameter.
39. 5/6 in percent?
83.333%
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.)
V=Lwh
x²+2xy+y²
40. In similar hexagons - the ratio of the areas is 16:25. What is the ratio of their corresponding sides?
1.7
18
A reflection about the axis.
4:5
41. Circumference of a Circle
Ø
C=2 x pi x r OR pi x D
A = length x width
31 - 37
42. 25+2³
A = pi(r^2)
D/t (distance)/(time)
Even
28
43. The sum of all angles around a point
(x+y)(x-y)
360°
3 - 4 - 5
F(x) - c
44. What is the area of a regular hexagon with side 6?
54sqrt3. (divide the hexagon into 6 congruent equilateral triangles.
Straight Angle
180
(n-2) x 180
45. the measure of a straight angle
1
True
180°
87.5%
46. Product of any number and Ø is
... the square of the ratios of the corresponding sides.
Ø
Positive or Negative
Ø=P(E)=1
47. A number is divisible by 6 if...
P=2(l+w)
4a^2(b)
180°
Its divisible by 2 and by 3.
48. An Angle that'S 180°
Straight Angle
The empty set - denoted by a circle with a diagonal through it.
y/x is a constant
The direction of the inequality is reversed.
49. Ø is
P=4s (s=side)
Even
Every number
0
50. What is a major arc?
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