American Mathematics contest 10 (AMC 10) - Statistics problems AMC 10A 2019 Problem 20 The numbers $1,2,\dots,9$ are randomly placed into the $9$ squares of a $3 \times 3$ grid. Each square gets one number, and each of the numbers is used once. What is the probability that the sum of the numbers in each […]
American Mathematics contest 10 (AMC 10) - Combinatorics problems Try these AMC 10 Combinatorics Questions and check your knowledge AMC 10A, 2020, Problem 9 A single bench section at a school event can hold either $7$ adults or $11$ children. When $N$ bench sections are connected end to end, an equal number of adults and […]
Get rolling on your preparation for AMC 10 with Cheenta. This post has all the AMC 10 Algebra previous year Questions, year-wise. Try out these problems: AMC 10A, 2021, Problem 1 What is the value of $\left(2^{2}-2\right)-\left(3^{2}-3\right)+\left(4^{2}-4\right)$ (A) 1 (B) 2 (C) 5 (D) 8 (E) 12 AMC 10A, 2021, Problem 2 Portia's high […]
American Mathematics contest 10 (AMC 10) - Number Theory problems AMC 10A, 2021, Problem 10 Which of the following is equivalent to $$ (2+3)\left(2^{2}+3^{2}\right)\left(2^{4}+3^{4}\right)\left(2^{8}+3^{8}\right)\left(2^{16}+3^{16}\right)\left(2^{32}+3^{32}\right)\left(2^{64}+3^{64}\right) ? $$ (A) $3^{127}+2^{127}$ (B) $3^{127}+2^{127}+2 \cdot 3^{63}+3 \cdot 2^{63}$ (C) $3^{128}-2^{128}$ (D) $3^{128}+2^{128}$ (E) $5^{127}$ AMC 10A, 2021, Problem 11 For which of the following integers $b$ is the base- […]
Euclidean algorithm is used to find GCD (greatest common divisor). Use tutorial video and practise problems to master this tool.
American Mathematics contest 8 (AMC 8) - Geometry problems Try these AMC 8 Geometry Questions and check your knowledge! AMC 8, 2025, Problem 1 The eight-pointed star, shown in the figure below, is a popular quilting pattern. What percent of the entire \(4 \times 4\) grid is covered by the star? (A) 40(B) 50(C) 60(D) […]
Try this beautiful problem from AMC 8. It involves basic inequalities and properties of discriminant of the quadratic equation. We provide sequential hints so that you can try the problem.
Try this beautiful problem from I.S.I. (Indian Statistical Institute) B.Stat/B.Math Entrance Examination 2016 It is based on simple manipulations and limit of a function. We provide sequential hints so that you can try the problem.
Try this beautiful problem from I.S.I B.Stat. Entrance 2017, UGA . It involves limit and differentiability of a function. We provide sequential hints so that you can try the problem.
Try this beautiful problem from ISI B.Stat. Entrance 2017, UGA It involves maximum and minimum property of a function. We provide sequential hints so that you can try the problem.
Try this beautiful problem from the American Invitational Mathematics Examination I, AIME I, 1995 based on Triangle and integers.
Try this beautiful problem from the American Invitational Mathematics Examination I, AIME I, 1992 based on Tetrahedron Problem.
Try this problem from Singapore Mathematics Olympiad, SMO, 2018 based on Functional Equation. You may use sequential hints if required.
Try this beautiful problem from Algebra: Arithmetic sequence from AMC 10A, 2015, Problem. You may use sequential hints to solve the problem.
Try this beautiful problem from the American Invitational Mathematics Examination, AIME, 2000 based on Sequence and the greatest integer.
Try this beautiful problem from Mensuration: Problem based on Cylinder from AMC 10A, 2015. You may use sequential hints to solve the problem.
Try this beautiful problem from the American Invitational Mathematics Examination I, AIME I, 1999 based on Series and sum.
Try this beautiful problem from the American Invitational Mathematics Examination I, AIME I, 2011 based on Rectangles and sides.
Try this beautiful problem from Geometry based on Median of numbers from AMC 10A, 2020. You may use sequential hints to solve the problem.
Try this beautiful problem from Algebra, based on the Cubic Equation problem from AMC-10A, 2010. You may use sequential hints to solve the problem.