Thursday

October 2, 2014

October 2, 2014

**Recent Homework Questions About Geometry**

Post a New Question | Current Questions

**Geometry**

In distinct odd-town, the inhabitants want to number their houses with 3-digit positive integers that are odd, which have all distinct digits. What is the maximum number of houses in odd-town?
*Tuesday, March 12, 2013 at 10:15pm*

**Geometry**

Let S = \{ 1, 2, 3, \ldots 12\} and T_1, T_2, \ldots T_a be subsets of S such that T_i \not \subset T_j \, \forall i \neq j . What is the maximum possible value of a?
*Tuesday, March 12, 2013 at 10:06pm*

**Geometry**

Determine the largest positive integer N, such that given any N-gon (not necessarily convex), there exists a line (infinitely extended in both directions) that contains exactly 1 edge of the N-gon. The figure in blue is an example of a 20-gon that doesn't satisfy the ...
*Tuesday, March 12, 2013 at 10:05pm*

**Geometry**

Six standard six-sided die are rolled. Let p be the probability that the dice can be arranged in a row such that for 1\leq k \leq 6 the sum of the first k dice is not a multiple of 3. Then p can be expressed as \frac{a}{b} where a and b are coprime positive integers. What is ...
*Tuesday, March 12, 2013 at 10:04pm*

**Geometry**

Given: segment BD bisects angle ABC; AB=BC. Prove: triangle ABD congruent to triangle CBD
*Tuesday, March 12, 2013 at 8:12pm*

**Geometry**

The Z company specializes in caring for zebras. They want to make a 3-dimensional "Z" to put in front of their company headquarters. The "Z" is 15 inches thick and the perimeter of the base is 390 inches. What is the lateral surface area of this "Z"?
*Tuesday, March 12, 2013 at 7:34pm*

**geometry**

ABCD is a trapezoid with AB parallel to DC. If AB=25, BC=24, CD=50 and AD=7, what is the area of ABCD?
*Tuesday, March 12, 2013 at 6:07pm*

**geometry**

A parallelogram ABCD has perimeter equal to 124. Let E be the foot of the perpendicular from A to BC, and let F be the foot of the perpendicular from A to CD. If AE=7 and AF=24, what is the area of the parallelogram?
*Tuesday, March 12, 2013 at 6:06pm*

**GEOmetry..**

7 points are placed in a regular hexagon with side length 20. Let m denote the distance between the two closest points. What is the maximum possible value of m?
*Tuesday, March 12, 2013 at 12:12pm*

**Geometry**

Point M is the midpoint of the line equation ABMC. Which of the following is not true? (1)AM = MC (2) AB < MC (3) AM > BC or (4) BM < MC
*Tuesday, March 12, 2013 at 11:05am*

**geometry**

Square ABCD and circle T have equal areas and share the same center O.The circle intersects side AB at points E and F.Given that EF=√(1600-400π),what is the radius of T ?
*Tuesday, March 12, 2013 at 9:43am*

**geometry**

A pyramid has a square bottom, with an area equal to 64 squares meters. the height of the pyramid is 7 inches. if you start at the top of the pyramid and slide all the way down the middle of one of the sides how many feet will you move?
*Tuesday, March 12, 2013 at 2:41am*

**Geometry**

Given: segment AB is congruent to segment BC; angle 1 is congruent to angle 2 Prove: triangle ABC is congruent to triangle DEC
*Monday, March 11, 2013 at 9:35pm*

**Geometry**

180° about z takes (x,y,z) -> (-x,-y,z) 90° about x takes (x,y,z) -> (x,z,-y) so, your two rotations take (x,y,z) -> (-x,z,y)... z axis top/bottom, x/y axis right/ left... A dice has 3 on the top, 4 bottom, 1 left, 2 right, 5 left back, 6 right back... after ...
*Monday, March 11, 2013 at 8:28pm*

**geometry**

If ABCDE and LMNOP are similar polygons, then the ratio of AB to LM must be equal to the ratio of CD to NO. (Assume and are corresponding sides, as are and .)
*Monday, March 11, 2013 at 2:49pm*

**Geometry**

ABC is a triangle with area equal to 20 . The incircle of triangle ABC has radius equal to 2 and the circumcircle of triangle ABC has radius equal to 6 . If sinA+sinB+sinC=a/b , where a and b are coprime positive integers, what is the value of a+b ?
*Monday, March 11, 2013 at 2:01pm*

**Geometry**

ƒ¡ is a circle with center O . A and B are points on ƒ¡ such that the sector AOB has perimeter 40 . What is the measure of ÚAOB (in radians) when the area of the sector AOB is maximized
*Monday, March 11, 2013 at 1:59pm*

**geometry**

A cylindrical water tower with a conical top and hemispheric bottom needs to be painted. If the cost is 2.19 per square foot, how much does it cost (to the nearest dollar) to paint the tank?
*Monday, March 11, 2013 at 9:29am*

**simple geometry**

How many numbers from 1 to 100 are multiples of 3 but not 5?
*Monday, March 11, 2013 at 4:55am*

**geometry!**

The swimming pool that sunny goes to has dimensions 20 meters long, 8 meters wide and 3 meters deep. What is the volume of water (in m^3) that the swimming pool contains?
*Monday, March 11, 2013 at 4:52am*

**geometry!**

ABCD is a square with AB=25. P is a point within ABCD such that PA=24 and PB=7. What is the value of PD^2?
*Monday, March 11, 2013 at 4:47am*

**geometry!**

ABCD is a square with AB=25. P is a point within ABCD such that PA=24 and PB=7. What is the value of PD^2?
*Monday, March 11, 2013 at 4:13am*

**geometry**

7 points are placed in a regular hexagon with side length 20. Let m denote the distance between the two closest points. What is the maximum possible value of m?
*Monday, March 11, 2013 at 3:01am*

**Geometry**

A 20 foot ladder is leaning aagainst a wall the base of the ladder is 7 feet away from the.wall hkw high up the wall will the ladder reacb
*Monday, March 11, 2013 at 2:31am*

**Geometry**

A 20 foot ladder is leaning aagainst a wall the base of the ladder is 7 feet away from the.wall hkw high up the wall will the ladder reacb
*Monday, March 11, 2013 at 2:31am*

**geometry**

7 points are placed in a regular hexagon with side length 20. Let m denote the distance between the two closest points. What is the maximum possible value of m?
*Monday, March 11, 2013 at 2:30am*

**Geometry**

What is the minimum distance between any point on the circle x^2 + y^2 = 25 and the line y = -\frac{3}{4}x + \frac{75}{4} ?
*Sunday, March 10, 2013 at 5:18pm*

**Geometry**

In the 2001 population census, information was collected about the number of people in each household, which is denoted by X. It is given that P(X=1) = 0.25, P(X=2) = 0.32, P(X=3) = 0.18, P(X=4) = 0.15, P(X=5) = 0.07, P(X=6) = 0.02 and P(X\geq 7) = 0.01. If R is the ...
*Sunday, March 10, 2013 at 5:18pm*

**Geometry**

Martin's iPod has 24 songs on it. He wants to make a playlist consisting of three songs to dance to. Let N be the number of different playlists Martin can make. What are the last 3 digits of N?
*Sunday, March 10, 2013 at 5:17pm*

**geometry**

#24. A cylindrical water well is 1,200 ft. deep and 6 in. across. Find the lateral surface area of the well. Round to the nearest square foot. (Hint: Convert measures to a common unit.)
*Sunday, March 10, 2013 at 2:10pm*

**Math-geometry**

. If a spherical Triangle on Earth has an excess of 30 degrees, find the area of this spherical triangle measured in square miles. b. If a spherical triangle on the moon has an excess of 30 degrees, find the area of this spherical triangle in sqare miles. c. Find the ratio of ...
*Saturday, March 9, 2013 at 11:59pm*

**Math-geometry**

If a dice has 3 on the top, right back 6, right front 2, bottom 4, left front 1, left back 5 and is rotated by +180 about the z axis and +90 about the x axis, how many dots does each face have after the rotation?
*Saturday, March 9, 2013 at 11:55pm*

**Math-geometry**

If a dice has 3 on the top, right back 6, right front 2, bottom 4, left front 1, left back 5 and is rotated by +180 about the z axis and +90 about the x axis, how many dots does each face have after the rotation?
*Saturday, March 9, 2013 at 11:55pm*

**geometry**

A right pentagonal prism is 10 cm high. If the area of each pentagonal base is 32 cm squared and the perimeter is 20 cm, what are the lateral and total surface areas of the prism? I tried doing this using the formula shown in my book, but it came out wrong. the formula I was ...
*Saturday, March 9, 2013 at 8:16pm*

**Please help analytic geometry **

A line with slope 6 bisects the area of a unit square with vertices (1,0), (0,0) , (1,1), and (0,1). What is the y-intercept of this line? I tried putting one point where the line intersects the square as (y,1), and the other as (x,0), and the y intercept as (0,a). Then, I ...
*Saturday, March 9, 2013 at 5:28pm*

**Geometry**

Given a 100 by 100 square grid, what is the most number of 1 by 51 rectangles that we can cut out of it?
*Saturday, March 9, 2013 at 4:19pm*

**Geometry**

ABCDE is a regular pentagon. FAD is an equilateral triangle, such that points F and E are on the same side of line AD. What is the measure (in degrees) of \angle FAB?
*Saturday, March 9, 2013 at 4:18pm*

**Geometry Inscribed**

line BC is tangent to circle A at B and to circle D at C (not drawn to scale) AB=11, BC=23,and DC=2. find AD to the nearest tenth. Image: i.imgur(dot)com/f4ThxTu.jpg
*Saturday, March 9, 2013 at 4:00pm*

**geometry**

How many square inches are in the lateral surface area and total surface area of an aluminum can with 2 1/2 in. diameter and 4 3/4 in. height? I've worked on this until I'm crossed-eyed and it's not coming out right!
*Saturday, March 9, 2013 at 11:27am*

**Please help with graphing in geometry**

Find the largest real number x for which there exists a real number y such that x^2+y^2 = 2x+2y . I think it is a circle, but how am i supposed to figure this out??
*Saturday, March 9, 2013 at 9:57am*

**Geometry-8th gr**

The Circumference of a circle is equal to the area of the circle. Find the radius. Thanks.
*Friday, March 8, 2013 at 5:43pm*

**geometry**

a hexagonal pyramid has a base with and area of 25 in2 and is 7 in tall what is the volume of the pyramid rounded to the nearest whole number
*Friday, March 8, 2013 at 12:18pm*

**circle geometry**

Circles Γ1 and Γ2 intersect at 2 distinct points A and B. A line l through A intersects Γ1 and Γ2 at C and D, respectively. Let M be the midpoint of CD. The line MB intersects Γ1 and Γ2 again at E and F, respectively. If MA=129,MB=156 and MC=182, ...
*Friday, March 8, 2013 at 12:35am*

**Geometry**

How many perfect squares less than 1000 end with the digit 6?
*Thursday, March 7, 2013 at 11:02pm*

**Geometry**

What is the minimum distance between any point on the circle x^2 + y^2 = 25 and the line y = -\frac{3}{4}x + \frac{75}{4} ?
*Thursday, March 7, 2013 at 11:01pm*

**Geometry**

Circles \Gamma_1 and \Gamma_2 intersect at 2 distinct points A and B. A line l through A intersects \Gamma_1 and \Gamma_2 at C and D, respectively. Let M be the midpoint of CD. The line MB intersects \Gamma_1 and \Gamma_2 again at E and F , respectively. If MA=129, MB =156 and...
*Thursday, March 7, 2013 at 10:23pm*

**Geometry**

ABCD is a convex quadrilateral satisfying AB=BC=CD, AD=DB and \angle BAD = 75^\circ. What is the measure of \angle BCD?
*Thursday, March 7, 2013 at 10:22pm*

**Geometry**

Two of the heights of a triangle are 63 and 147 . Given that the third height is also an integer, what is the maximum possible value for the third height?
*Thursday, March 7, 2013 at 10:21pm*

**Geometry**

The sum of four numbers is 771. The ratio of the first to the second is 2:3. The ratio of the second to the third is 5:4. The ratio of the third to the fourth is 5:6. Find the second number.
*Thursday, March 7, 2013 at 6:33pm*

**Geometry**

A rectangular poster measures 42 inches by 26 inches. A frame shop fitted the poster with a half inch mat border
*Thursday, March 7, 2013 at 6:29pm*

**geometry**

ABCD is a convex quadrilateral satisfying AB=BC=CD,AD=DB and ∠BAD=75∘. What is the measure of ∠BCD?
*Thursday, March 7, 2013 at 1:57pm*

**geometry**

Circles Γ1 and Γ2 intersect at 2 distinct points A and B. A line l through A intersects Γ1 and Γ2 at C and D, respectively. Let M be the midpoint of CD. The line MB intersects Γ1 and Γ2 again at E and F, respectively. If MA=129,MB=156 and MC=182, ...
*Thursday, March 7, 2013 at 1:15pm*

**geometry. **

In the diagram, a trapezoid is shown with x=36 and y=56. Find the area of the trapezoid. It's an isosceles triangle with base angles of 60°.
*Thursday, March 7, 2013 at 11:56am*

**geometry**

When v mark 4 points on a paper how many line segments are formed ....
*Thursday, March 7, 2013 at 9:15am*

**Geometry**

ABCD is a convex quadrilateral satisfying AB=BC=CD, AD=DB and \angle BAD = 75^\circ. What is the measure of \angle BCD?
*Thursday, March 7, 2013 at 12:00am*

**Geometry**

A circle \Gamma cuts the sides of a equilateral triangle ABC at 6 distinct points. Specifically, \Gamma intersects AB at points D and E such that A, D, E, B lie in order. \Gamma intersects BC at points F and G such that B, F, G, C lie in order. \Gamma intersects CA at points H...
*Wednesday, March 6, 2013 at 11:59pm*

**Geometry**

Let G be a rectangular grid of unit squares with 3 rows and 8 columns. How many self-avoiding walks are there from the bottom left square of G to the top left square of G?
*Wednesday, March 6, 2013 at 11:59pm*

**Geometry**

The height of a parallelogram is 5 feet more than its base. If the area of the parallelogram is 204 square feet, find its base and height.
*Wednesday, March 6, 2013 at 8:23pm*

**geometry**

How can 3 noncollinear points determine a plane
*Wednesday, March 6, 2013 at 6:15pm*

**geometry**

a graph shows vertices L and N of rhombus LMNO. which of the following ordered pairs represents a location for vertx M and vertex O that wiill not make rhombus LMNO? A. (-2,-2) and (-6,-2) B. (-2,-1) and (-6,-1) C. (0,-2) and (-8,-2) D. (-9,-2) and (1, -2)
*Wednesday, March 6, 2013 at 5:51pm*

**Math**

Hello there! Could You please help me with this Geometry word problem? Here's the problem: Helen painted a picture that was 10 inches longer than it was wide. When she framed the picture, the outside dimensions (that is, the length and the width) were each two inches ...
*Wednesday, March 6, 2013 at 5:09pm*

**Math**

Hello there! Could You please help me with this Geometry word problem? Here's the problem: Helen painted a picture that was 10 inches longer than it was wide. When she framed the picture, the outside dimensions (that is, the length and the width) were each two inches ...
*Wednesday, March 6, 2013 at 5:09pm*

**geometry**

What's the difference between concurrent lines and intersecting lines
*Wednesday, March 6, 2013 at 4:02pm*

**geometry **

State a conclusion that seems reasonable. Donald is older than Jeanette; Donald is older than Ethel. Donald is older than Allen. Conclusion?
*Wednesday, March 6, 2013 at 8:45am*

**maths-geometry**

Construct ∆ABC, AB=6cm, BC=9cm,CA=8cm. construct tangents from the vertex C to the circle through AB as the diameter
*Wednesday, March 6, 2013 at 5:49am*

**Geometry**

a. If a spherical Triangle on Earth has an excess of 30 degrees, find the area of this spherical triangle measured in square miles. b. If a spherical triangle on the moon has an excess of 30 degrees, find the area of this spherical triangle in sqare miles. c. Find the ratio of...
*Tuesday, March 5, 2013 at 7:58pm*

**Geometry**

A six foot person is walking away from an 18 foot pole. Express the distance between the pole and the person in terms of the length of the persons shadow.
*Tuesday, March 5, 2013 at 7:36pm*

**Math-geometry**

If a dice has 3 on the top, right back 6, right front 2, bottom 4, left front 1, left back 5 and is rotated by +180, how many dots does each face have after the rotation?
*Tuesday, March 5, 2013 at 4:54pm*

**Analytic geometry - finding point by intersect lin**

I have a triangle ABC. The slope of AB is -1/ab, the slope of AC is -1/ac, and the slope of BC is -1/ac. My question is, I have 3 lines: Altitude from A to BC, altitude from B to AC, and altitude from C to AB. I know their slope because it is just -1/slope. But I want to know ...
*Tuesday, March 5, 2013 at 9:38am*

**Analytic Geometry - Reflecting points over lines**

Let P = (5,1), and let Q be the reflection of P over the line y = 1/2x + 2. Find the coordinates of Q. I don't understand how to start? Should we draw perpendicular lines? Analytic Geometry - Reflecting points over lines - Steve, Monday, March 4, 2013 at 12:15pm Given (x,y...
*Monday, March 4, 2013 at 9:15pm*

**Geometry**

How many ordered triples (a, b, c) of positive integers are there which satisfy the equation a + b + c = 10 ?
*Monday, March 4, 2013 at 4:22pm*

**Geometry**

line xy bisect and is perpendicular to ab and cd. ab=6 and ap=5 what is the length of xy
*Monday, March 4, 2013 at 4:15pm*

**Analytic Geometry - Reflecting points over lines**

Let P = (5,1), and let Q be the reflection of P over the line y = 1/2x + 2. Find the coordinates of Q. I don't understand how to start? Should we draw perpendicular lines?
*Monday, March 4, 2013 at 10:51am*

**chemistry quick homework help**

What is the molecular geometry surrounding the carbon atom in CI4? (This compound contains the elements caron and iodine, not chlorine.) trigonal planer pyramidal (trigonal pyramidal) bent (angular) linear tetrahedral
*Monday, March 4, 2013 at 8:32am*

**geometry!**

Given a 100 by 100 square grid, what is the most number of 1 by 51 rectangles that we can cut out of it?
*Monday, March 4, 2013 at 1:41am*

**pentagon...GEOMETRY**

ABCDE is a regular pentagon. FAD is an equilateral triangle, such that points F and E are on the same side of line AD. What is the measure (in degrees) of ∠FAB?
*Monday, March 4, 2013 at 1:40am*

**geometry(rectangle)**

Given a 100 by 100 square grid, what is the most number of 1 by 51 rectangles that we can cut out of it?
*Monday, March 4, 2013 at 1:27am*

**Geometry**

ABC is a right triangle with AB = 2, BC = 8\sqrt{3} and AC = 14. What is the value of \sec \angle BAC?
*Monday, March 4, 2013 at 12:34am*

**Geometry**

A 12 by 12 by 12 cube has all its faces painted blue. It is then broken down to 1728 individual 1 by 1 by 1 cubes. The probability that a randomly chosen 1 by 1 by 1 cube has exactly 2 faces painted blue is \frac {a} {b} , where a, b are coprime. What is the value of a+ b?
*Monday, March 4, 2013 at 12:27am*

**GEOmetry**

How many 7 digit positive integers are there such that the product of the individual digits of each number is equal to 10000?
*Monday, March 4, 2013 at 12:24am*

**geometry **

38ft rope extended to end gives 70°angle of elevation what is height
*Sunday, March 3, 2013 at 11:05pm*

**Geometry**

If the edges of a rectangular prism are 8cm, 6cm, and the diagonal is 10radical2, what is volume of the solid? A right circular cylinder with a radius of 4 has a lateral area of 40pi cm squared. What is the volume of the cylinder?
*Sunday, March 3, 2013 at 6:17pm*

**Geometry PLEASE HELP**

1. If the surface area of a cube is 294 inches squared, find the volume. 2. If the base of a prism is an equilateral triangle with sides 8cm, and each lateral edge measures 10cm, what is the volume of the prism.
*Sunday, March 3, 2013 at 6:11pm*

**Geometry**

The base of a right prism 50 inches high is a rhombus, with diagonals 30 and 16 inches. Find the total surface area of the prism.
*Sunday, March 3, 2013 at 6:06pm*

**geometry**

167.08 square inches. I need to know the radius of a circle for that number of square inches..
*Sunday, March 3, 2013 at 4:07pm*

**maths - geometry**

if the points A(1,-2) B(2,3) C(-3,2) and D(-4,-3) are the vertices of the paralleogram ABCD, then taking AB as the base, find the height of parallelogram.
*Sunday, March 3, 2013 at 10:04am*

**Geometry**

Sandy has a long list of 100 suitors. She decides to label them according to if they are tall, dark or handsome. She finds that each of her suitors fall into at least one of the categories, and 65 of them are tall, 76 of them are dark and 53 of them are handsome. If 20 of the ...
*Saturday, March 2, 2013 at 11:01pm*

**geometry**

Let ABC be a right triangle with ACB =90, AC =6 , and BC =2. E is the midpoint of AC , and F is the midpoint of AB . If CF and BE intersect at G , then cos(CGB), in simplest radical form, is ((k square root w)/f) where k , w , and f are positive integers. Find the value of k+w...
*Saturday, March 2, 2013 at 2:02pm*

**Geometry - Dilation of a square**

The preimage of square ABCD has its center at (8,-8) and has an area of 4 square units. The top side of the square is horizontal. The square is then dilated with the dilation center at (0,0) and a scale factor of 2. What are the coordinates of the vertex of the image of square...
*Saturday, March 2, 2013 at 10:54am*

**geometry**

find k if one of the lines given by kx^2+10xy+8y^2=0 is perpendicular to 2x-y=5
*Saturday, March 2, 2013 at 5:08am*

**Geometry**

Luis has a simple calculator that has buttons for the digits 0 through 9, each of the 4 basic operations (+, - ,*,/ ), and an '=' button. Luis pushes a digit followed by the '+' sign, followed by another digit, followed by the '-' sign, followed by ...
*Friday, March 1, 2013 at 7:48pm*

**analytic geometry helps are appreciated**

Find the maximum value of y/x over all real numbers x and y that satisfy (x-3)^2+(y-3)^2 = 6. It is a circle, but how do we even begin? As a matter of fact, how is there not only like 1 solution??
*Friday, March 1, 2013 at 7:44pm*

**Geometry**

In acute triangle ABC, we have \angle CAB = 34 ^\circ . E is the foot of the perpendicular from B to AC. A point H is on BE is chosen, and X is the foot of the perpendicular from H to AB. What is the measure (in degrees) of \angle of EHX?
*Friday, March 1, 2013 at 6:44pm*

**Geometry**

ABC is an acute angle triangle with points D and E on BC and AC, respectively such that BE and AD are altitudes. AD and BE intersect at H. If \angle BCA = 39 ^\circ and \angle EBA = 2 \angle DAB , what is the measure of \angle ABC(in degrees)?
*Friday, March 1, 2013 at 6:42pm*

**Geometry**

Luis has a simple calculator that has buttons for the digits 0 through 9, each of the 4 basic operations (+, - ,*,/ ), and an '=' button. Luis pushes a digit followed by the '+' sign, followed by another digit, followed by the '-' sign, followed by ...
*Friday, March 1, 2013 at 6:40pm*

**Geometry **

Danny has a 15-foot board that he wants to use as a motorcycle ramp.If he wants the end of the ramp to be 4 ft off the ground,what angle will be formed between the board and the ground?
*Friday, March 1, 2013 at 4:21pm*

**analytic geometry helps are appreciated**

Find the maximum value of y/x over all real numbers x and y that satisfy (x-3)^2+(y-3)^2 = 6. It is a circle, but how do we even begin? As a matter of fact, how is there not only like 1 solution?? No one has answered this question yet.
*Friday, March 1, 2013 at 3:01pm*

**please help with analytic geometry if you can**

Find the maximum value of y/x over all real numbers x and y that satisfy (x-3)^2+(y-3)^2 = 6. It is a circle, but how do we even begin? As a matter of fact, how is there not only like 1 solution??
*Friday, March 1, 2013 at 12:49pm*

**geometry**

4. In order to properly design a heating system for a greenhouse, the volume of air in the building needs to be determined. Find the volume of air in the greenhouse below. The length of the building is 40 feet long, the width is 20 feet long, and it is 8 feet from the ground ...
*Friday, March 1, 2013 at 12:42pm*

**analytic geometry helps are appreciated**

For some positive real number r , the line x+y=r is tangent to the circle x^2+y^2 = r. Find r. How do we do this? Set equal equations together??
*Friday, March 1, 2013 at 9:14am*

Pages: <<Prev | 6 | 7 | 8 | 9 | 10 | 11 | 12 | 13 | **14** | 15 | 16 | 17 | 18 | 19 | 20 | Next>>

Post a New Question | Current Questions