# Need Help 12 Difficult Math questions i need answered by next friday

• skidmore
In summary: For Problem 2:The sides BC and AD of a quadrilateral ABCD are parallel. M is the midpoint of AB. The area of ABCD is S. Find the area of the triangle DMD in terms of S. The triangle DMD has an area of S = (BC)(AD)(MD) = (15)(4)(9).
skidmore
Need Help 12 Difficult Math questions i need answered by next friday!

Problem 1:
The cockle shells that grow in Mary's garden need exactly ten litres of water every day and they can be watered only once a day. She has two jugs of nine litres and eleven litres capacity respectively and a pool full of water. Can she water her cockle shells as required?

Problem 2:
The sides BC and AD of a quadrilateral ABCD are parallel. M is the midpoint of AB. The area of ABCD is S. Find the area of the triangle DMD in terms of S.

Problem 3:
In triangle ABC, X is a point on AC such that AX = 15m. XC = 5m, angle AXB = 60 degrees, and angle ABC is two times bigger than angle AXB. Find the length of BC.

Problem 4:
Find all four-digit numbers which are a perfect square and in which the first two digits are equal and the last two digits are also equal.

Problem 5:
The diagonals AC and BD of a quadrilateral ABCD are perpendicular. Find the length of AB if BC = 5cm, DC = 4cm, and AD = 3cm.

Problem 6:
A triangle has the following properties:
It is scalene;
It does not contain a right angle;
It has integer length sides;
Its area is an integer.
Find the triangle with these properties which has the least perimeter. (Use Heron's Formula for the area of a triangle with sides a, b and c: Area = square root (s(s - a)(s - b)(s - c), where s is the semi-perimiter, i.e. s = perimeter divided by 2.

Problem 7:
Mr A decided to invest $530. He bought shares in four different companies, each share worth$18, 23$, 52$, and 69\$ respectively. He spent exactly the sum he intended and bought 20 shares altogether. How many shares of each value did he buy?

Problem 8:
At a parade, 200 students are arranged so that they form 10 rows and 20 columns. When the tallest student is chosen in each row, Andrew is the shortest of them. When the shortest student in each column is chosen, Bruce is the tallest of them. Show that Bruce cannot be taller than Andrew.

Problem 9: A school is planning to form a School Council. The Council will consist of four groups of students from years 9, 10, 11 and 12 respectively. Each group will comprise not less than two students from the same year and the total number of students in the council to be 9. In how many ways can the School council be formed if there are three, four, five and six candidates from years9, 10, 11 and 12 respectively?

Problem 10:
Show that 27 X 23^n + 12 X 10^2n is divisible by 11 for all positive integers n.

Problem 11:
After a week of hard calculations John figured out 3^10000.
Then he added up all its digits and thus obtained a new number. Next he added up all the digits of this new number and obtained another number. He continued doing this. Eventually, he obtained a one-digit number. What was that number?

Problem 12:
A group of tourists were offered seats in a number of buses so that there were the same number of tourists in each bus. First the organisers tried to seat 22 tourists in each bus. But it turned out that one of the tourists was left unseated. Then one of the buses went empty and the tourists occupied seats in the remaining buses so that there were the same number of tourists in each of the remaining buses. Find the original number of buses and number of tourists if each bus cannot carry more than 44 people.

You need to show what you have done, we won't just give you all the answers lol.

If you need these solved by next Friday, you had better get started now!

For Problem 1:
The cockle shells that grow in Mary's garden need exactly ten litres of water every day and they can be watered only once a day. She has two jugs of nine litres and eleven litres capacity respectively and a pool full of water. Can she water her cockle shells as required?
you need to find two integers, one positive and the other negative, so that 9x+ 11y= 10. You can start by finding x and y such that 9x+ 11y= 1, then multiply by 10.
(Strictly speaking, the question, "CAN she water her cockle shells as required" can be answered very simply without actually finding HOW she can do it, but I don't know if your teacher would accept that.)

As for Problem 2:
The sides BC and AD of a quadrilateral ABCD are parallel. M is the midpoint of AB. The area of ABCD is S. Find the area of the triangle DMD in terms of S.
"DMD" is not a triangle. What does the problem really say?

## 1. What types of math questions are considered "difficult"?

Difficult math questions can vary depending on the individual's level of understanding and familiarity with the subject matter. Commonly, questions involving advanced algebra, calculus, geometry, and statistics are considered difficult for many students.

## 2. How many math questions do you need help with and by when?

I need help with 12 difficult math questions and I need them answered by next Friday.

Yes, the math questions cover a range of topics including equations, functions, geometry, and statistics. I can provide specific problems if needed.

## 4. Are you looking for step-by-step solutions or just answers to the questions?

I am looking for step-by-step solutions to better understand how to solve the difficult math questions.

## 5. Do you have a preferred method of communication for receiving the solutions?

I prefer to receive the solutions via email or through an online platform such as Google Drive. However, I am open to other forms of communication if needed.

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