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Tag Archives: AMC
Coloring a 3 by 3 grid using two colors ( blue and orange) so that no row or column contains more than one orange color
Sumant colors each square in an empty 3 by 3 grid either blue or orange. Find the total number of ways to color the grid so that no toes or columns contain more than one orange.
2021 AMC 12A problem 8
This is a good problem in pattern finding and dealing with offset.
2021 AMC 10 A problem 8
This problem is about student making a mistake. Instead of multiplying by a repeating decimal she multiplies by the finte decimal and the difference is half. The task is to determine the repeating part.
2023 AMC 12B Problem 6
When the roots of the polynomial are removed from the number line. what remains is the union of 11 disjoint open intervals. On how many of these intervals is positive ?
AMC 8 2020 Problem 24 on Ratio of areas
A large square region with gray squares tiles each measuring inches on a side. A border of inches wide surrounds each tile. The figure below show the case for . When the 576 gray tiles cover of the area of … Continue reading
AMC 8 2020 Problem 23 on distribution of awards (Multinomial Theorem)
Five different awards are to be given to three students. Each student will receive at least one award. In how many ways can the awards be distributed ?
AMC 8 2020 Problem 21 on white paths on Chess board
A game board consists of 64 squares that alternate in color between black and white. The figure below shows square P in the bottom row and the square Q in the top row. A marker is placed at P. A … Continue reading
AMC 8 2020, Problem 19
A number is called flippy if its digits alternate between two distinct digits. For example 2020 and 37373 are flippy but 3883 and 123123 are not. How many five digit flippy numbers are divisible by 15 ?
Pascal Contest 2024 Problem 20 on max sum of digits of 25 x N
If N is a positive integer between 1,000,000 and 10,000,000 inclusive. What is the maximum possible value for the sum of the digits of 25 x N ?
Math Challengers 2022 Question 14 Co op page 3 on medians intersecting at right angle
Two medians of triangle ABC have lengths AR=9 and BS =12. The two medians are at right angles to each other. What is the area of triangle ABC ?
Sumant's 1 page of Math 