Label

Tampilkan postingan dengan label Algebra and Number Theory. Tampilkan semua postingan
Tampilkan postingan dengan label Algebra and Number Theory. Tampilkan semua postingan

Senin, 25 November 2013

Point of Discontinuity

f is a function defined on the positive reals such that . For what value of  is  undefined?

Selasa, 30 Juli 2013

Possible Test Scores for a grade of B

You are taking a Math class, where your grade is determined by your performance in 5 tests. The maximum score on each test is 100. Your first 4 test scores have been 63,80,90 and 85. To receive a B in the class, the average of the five test scores must be greater than or equal to 80 and strictly smaller than 90. If only integer test scores are allowed, how many different test scores could you receive for the last test and get a grade of B?

Trip Expenses

A group of friends are planning a road trip. If they all contribute $24, then they would be $6 short of the total cost of the trip. If they all contribute $25, then they would have $3 more than the total cost of the trip. What is the total cost of the trip?

Pity the frog

A frog is stuck at the bottom of a man-made well which is 21 feet deep. Each day, the frog is able to climb up 5 feet. However, each night, the frog slides down 3 feet. On which day would the frog be able to escape this well?

Find that remainder!

What is the remainder when 4321 is divided by 321?

Reciprocal Sum Equality

If a and b are coprime positive integers such that
12+13+14+15=ab,

what is the value of a+b?

Selasa, 23 Juli 2013

Nancy's Closet Staff discount

With the holiday approaching, Nancy's Closet is having a sale, where all their clothes are 40% off. Mary, who works there, can get a further staff discount of 40% off the sale price. What is the total percent discount that Mary gets?

Ages of Students

Calvin is looking at the ages of 4 Brilliant students. He decides to add them up 3 at a time, and obtains the values 51, 57, 61 and 65. What is the sum of the ages of all 4 of these students?

Details and assumptions

If the ages of the students are 1, 2, 3 and 4, then adding them up 3 at a time will yield 1+2+3=61+2+4=71+3+4=82+3+4=9.

Indices and Surds

What is the value of
11+3+13+5++1359+361?

Jumat, 14 Desember 2012

Kuis Perbandingan

Di sekolah Harapan Bangsa sedang dilaksanakan kerja bakti. 5 orang siswa sedang mengecat tembok kelas mereka, jika mereka melakukan bersama akan selesai dalam 12 hari, padahal jika dilakukan oleh seorang tukang cat, pekerjaan itu akan selesai dalam 10 hari. Jika pekerjaan itu dilakukan oleh seorang tukang cat dan 6 orang siswa, dalam berapa hari pekerjaan tersebut akan selesai?

Kuis Pecahan Bilangan Bulat Positif


Kuis Pecahan Berpangkat


Kuis Pecahan Berganda