Here are the problems and their corresponding solutions from B.Math Hons Objective Admission Test 2008. Problem 1 : Let $a, b$ and $c$ be fixed positive real numbers. Let $u_{n}=\frac{n^{2} a}{b+n^{2} c}$ for $n \geq 1$. Then as $n$ increases, (A) $u_{n}$ increases;(B) $u_{n}$ decreases;(C) $u_{n}$ increases first and then decreases;(D) none of the above […]
Here are the problems and their corresponding solutions from B.Math Hons Objective Admission Test 2007. Problem 1 : The number of ways of going up $7$ steps if we take one or two steps at a time is (A) $19$ ;(B) $20$;(C) $21$ ;(D) $22$ . Problem 2 : Consider the surface defined by $x^{2}+2 […]
Here, you will find all the questions of ISI Entrance Paper 2011 from Indian Statistical Institute's B. Math Entrance. You will also get the solutions soon of all the previous year problems. Problem 1 : Let $a \geq 0$ be a constant such that $\sin (\sqrt{x+a})=\sin (\sqrt{x})$ for all $x \geq 0 .$ What can […]
Here, you will find all the questions of ISI Entrance Paper 2010 from Indian Statistical Institute's B. Math Entrance. You will also get the solutions soon of all the previous year problems. Problem 1: Prove that in each year, the $13$ th day of some month occurs on a Friday. Problem 2: In the accompanying […]
Here, you will find all the questions of ISI Entrance Paper 2009 from Indian Statistical Institute's B. Math Entrance. You will also get the solutions soon of all the previous year problems. Problem 1: Let $x, y, z$ be non-zero real numbers. Suppose $\alpha, \beta, \gamma$ are complex numbers such that $|\alpha|=|\beta|=|\gamma|=1 .$ If $x+y+z=0=\alpha […]
Here, you will find all the questions of ISI Entrance Paper 2008 from Indian Statistical Institute's B. Math Entrance. You will also get the solutions soon of all the previous year problems. Problem 1 : Let $f: \mathbb{R} \rightarrow \mathbb{R}$ be a continuous function. Suppose $$f(x)=\frac{1}{t} \int_{0}^{t}(f(x+y)-f(y)) d y$$ for all $x \in \mathbb{R}$ and […]
In 2021, Cheenta is proud to introduce 5-days-a-week problem solving sessions for Math Olympiad and ISI Entrance.
Here, you will find all the questions of ISI Entrance Paper 2014 from Indian Statistical Institute's B.Stat Entrance. You will also get the solutions soon of all the previous year problems. Problem 1: The system of inqualities $a-b^{2} \geq \frac{1}{4}$, $b-c^{2} \geq \frac{1}{4}$, $c-d^{2} \geq \frac{1}{4}$, $d-a^{2} \geq \frac{1}{4}$ has(A) no solutions(B) exactly one solution(C) […]
Here, you will find all the questions of ISI Entrance Paper 2013 from Indian Statistical Institute's B.Stat Entrance. You will also get the solutions soon of all the previous year problems. Problem 1: Let $i=\sqrt{-1}$ and $S=\{i+i^{2}+\cdots+i^{n}: n \geq 1\} .$ The number of distinct real numbers in the set $S$ is (A) 1(B) 2(C) […]
Complex numbers and geometry are very closely related. We consider a problem from I.S.I. Entrance that uses this geometric character complex numbers.
Have a look at the Questions and Solutions of Australian Mathematics Competition 2018 - Intermediate of Grade 9 and 10.
Have a look at the Questions and Solutions of Australian Mathematics Competition 2020 - Intermediate of Grade 9 and 10.
Solve beautiful Number Theory problem from IMO 1959 with the help of Euclidean Algorithm and Division Lemma.
Problem 1: How many \(1 \times 1\) squares are in this diagram? (A) 16(B) 18(C) 20(D) 24(E) 25 Problem 2: What is half of 2020?(A) 20(B) 101(C) 110(D) 1001(E) 1010 Problem 3: What is the perimeter of this triangle? (A) 33 m(B) 34 m(C) 35 m(D) 36 m(E) 37 m Problem 4: I stepped on […]
Problem 1: What is the perimeter of this rhombus? (A) 20 cm(B) 24 cm(C) 28 cm(D) 32 cm(E) 36 cm Problem 2: The temperature in the mountains was \(4^{\circ} \mathrm{C}\) but dropped overnight by \(7^{\circ} \mathrm{C}\). What was the temperature in the morning?(A) \(3{ }^{\circ} \mathrm{C}\)(B) \(11^{\circ} \mathrm{C}\)(C) \(-3^{\circ} \mathrm{C}\)(D) \(-4^{\circ} \mathrm{C}\)(E) \(-11^{\circ} \mathrm{C}\) Problem […]
Problem 1: Kurt paved his courtyard in the pattern shown. How many \(1 \times 1\) pavers are in his courtyard? (A) 28(B) 30(C) 32(D) 34(E) 36 Problem 2: Which of the following expressions has the smallest value?(A) (3+2)(B) (3-2)(C) \(3 \times 2\)(D) \(3 \div 2\)(E) 32 Problem 3: The numbers on the top corners of […]
Books play a significant role in the preparation for the Singapore Mathematics Olympiad. In Cheenta we recommend a few books based on their age and grades that suit them. Books for Preliminary AMC Books for Advanced AMC
Problem 1: \(2021-1202=\) (A) 719(B) 723(C) 819(D) 823(E) 3223 Problem 2: What is the perimeter of this figure? (A) 28 units(B) 26 units(C) 24 units(D) 20 units(E) 21 units Problem 3: The area of this triangle is (A) \(10\) \(cm^2\) (B) \(12\) \(cm^2\) (C) \(12.5\) \(cm^2\)(D) \(15\) \(cm^2\) (E) \(16\) \(cm^2\) Problem 4: On the […]
Schedule of the Test: Registration Fee: The registration fee is $8.00 per participant (from SMS institutional member schools) per competition category; and $10.00 per participant (from non-institutional member schools). The participants' names and fees should be forwarded by the Head of the Department of Mathematics (of the competing school) to the Chairman of the Competition Committee in the prescribed […]
Problem 1: How many dots are in this pattern? (A) 20(B) 21(C) 22(D) 23(E) 24 Problem 2: What number is one hundred more than \(465 \) ? (A) 365(B) 455(C) 475(D) 565(E) 1465 Problem 3: What fraction of this rectangle is shaded? (A) \(\frac{1}{2}\)(B) \(\frac{1}{4}\)(C) \(\frac{1}{6}\)(D) \(\frac{1}{8}\)(E) \(\frac{1}{10}\) Problem 4: There were 17 dogs and […]