This is a subjective problem from TOMATO based on Graphing integer value function. Problem: Graphing integer value function Let [x] denote the largest integer (positive, negative or zero) less than or equal to x. Let $y= f(x) = [x] + \sqrt{x - [x]} ,s=2 $ be defined for all real numbers x. (i) Sketch on […]
This is a Test of Mathematics Solution Subjective 116 (from ISI Entrance). The book, Test of Mathematics at 10+2 Level is Published by East West Press. This problem book is indispensable for the preparation of I.S.I. B.Stat and B.Math Entrance. Problem If A, B, C are the angles of a triangle, then show that $ […]
This is a Test of Mathematics Solution Subjective 115 (from ISI Entrance). The book, Test of Mathematics at 10+2 Level is Published by East West Press. This problem book is indispensable for the preparation of I.S.I. B.Stat and B.Math Entrance. Problem If $\displaystyle { \frac{\sin^4 x }{a} + \frac{\cos^4 x }{b} = \frac{1}{a+b} }$ , […]
This is a Test of Mathematics Solution Subjective 113 (from ISI Entrance). The book, Test of Mathematics at 10+2 Level is Published by East West Press. This problem book is indispensable for the preparation of I.S.I. B.Stat and B.Math Entrance. Problem: Find the vertices of the two right angles triangles, each having area 18 and […]
This is a Test of Mathematics Solution Subjective 110 (from ISI Entrance). The book, Test of Mathematics at 10+2 Level is Published by East West Press. This problem book is indispensable for the preparation of I.S.I. B.Stat and B.Math Entrance. Also visit: I.S.I. & C.M.I. Entrance Course of Cheenta Problem: : Let ABCD be a […]
This is a Test of Mathematics Solution Subjective 107 (from ISI Entrance). The book, Test of Mathematics at 10+2 Level is Published by East West Press. This problem book is indispensable for the preparation of I.S.I. B.Stat and B.Math Entrance. Also visit: I.S.I. & C.M.I. Entrance Course of Cheenta Problem: If a, b and c […]
This is a Test of Mathematics Solution Subjective 90 (from ISI Entrance). The book, Test of Mathematics at 10+2 Level is Published by East West Press. This problem book is indispensable for the preparation of I.S.I. B.Stat and B.Math Entrance. Also visit: I.S.I. & C.M.I. Entrance Course of Cheenta Problem: : Draw the region of […]
This is a Test of Mathematics Solution Subjective 88 (from ISI Entrance). The book, Test of Mathematics at 10+2 Level is Published by East West Press. This problem book is indispensable for the preparation of I.S.I. B.Stat and B.Math Entrance. Also visit: I.S.I. & C.M.I. Entrance Course of Cheenta Problem: A pair of complex numbers […]
This is a Test of Mathematics Solution Subjective 84 (from ISI Entrance). The book, Test of Mathematics at 10+2 Level is Published by East West Press. This problem book is indispensable for the preparation of I.S.I. B.Stat and B.Math Entrance. Problem Show that there is exactly one value of \(x\) that satisfies the equation: \(2 […]
This is a Test of Mathematics Solution Subjective 83 (from ISI Entrance). The book, Test of Mathematics at 10+2 Level is Published by East West Press. This problem book is indispensable for the preparation of I.S.I. B.Stat and B.Math Entrance. Problem If a and b are positive real numbers such that a + b = […]
Try out the problems from Singapore Math Olympiad 2022 (Junior Years).
78 students qualified in Indian National Math Olympiad, the toughest math contest in India. 7 of them are from Cheenta. Learn from their success story.
Schedule for Australian Maths Competition 2024: Scoring : Registration Fee : The registration fee for the 2024 Australian Mathematics Competition (AMC) is AUD 8.50 per student. Registrations for printed paper entries close on July 5, 2024, for Australia and New Zealand, and on June 28, 2024, for international participants. Online entries close on August 2, […]
What is SMO? The Singapore Mathematical Olympiad (SMO) has been organized by The Singapore Mathematical Society (SMS) annually since the 1950’s. The main purpose of these competitions is to check the problem-solving ability in mathematics of students from junior and senior sections. Who can appear for SMO 2024? Senior Level : The Competition is open […]
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 Junior SMO Books for Senior SMO
Understand the difference between real and fake math olympiads. Know more about books and learning strategies for IOQM, IMO, AMC 10, 12.
PART - I Problem 1 If \(2^{x-1}+2^{x-2}+2^{x-3}=\frac{1}{16}\), find \(2^x\) (a) \(\frac{1}{14}\)(b) \(\frac{2}{3}\)(c) \(\sqrt[14]{2}\)(d) \(\sqrt[3]{4}\) Answer: A Problem 2 If the number of sides of a regular polygon is decreased from 10 to 8, by how much does the measure of each of its interior angles decrease? (a) \(30^{\circ}\)(b) \(18^{\circ}\)(c) \(15^{\circ}\)(d) \(9^{\circ}\) Answer: D Problem 3 […]
PART I Problem 1 Find x if \(\frac{79}{125}\left(\frac{79+x}{125+x}\right)=1.\) (a) 0(b) -46(c) -200(d) -204 Answer : D Problem 2 The line \(2 x+a y=5\) passes through (-2,-1) and (1, b). What is the value of b ? (a) \(-\frac{1}{2}\)(b) \(-\frac{1}{3}\)(c) \(-\frac{1}{4}\)(d) \(-\frac{1}{6}\) Answer : B Problem 3 Let ABCD be a parallelogram. Two squares are constructed […]
14 out of 27 students from Cheenta Academy cracked the prestigious Regional Math Olympiad. In this post, we will share some of their success stories and learning strategies.
NMTC RAMANUJAN (grade 11 and 12) Stage I - Problems and Solutions.