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February 16, 2021
Test of Mathematics Solution Subjective 181 - Diagonal Moves

This is a Test of Mathematics Solution Subjective 181 (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 Suppose that one moves along […]

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February 16, 2021
Test of Mathematics Solution Subjective 177 -The Famous Doors Problem

This is a Test of Mathematics Solution Subjective 177 (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  There are 1000 doors $ […]

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February 16, 2021
Test of Mathematics Solution Subjective 176 - Value of a Polynomial at x = n+1

This is a Test of Mathematics Solution Subjective 176 (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 Suppose that P(x) is a […]

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February 16, 2021
Test of Mathematics Solution Subjective 175 - Integer Roots

This is a Test of Mathematics Solution Subjective 175 (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 \(\text{P(x)}=x^n+a_{n-1}x^{n-1}+a_{n-2}x^{n-2}+\dots+a_{1}x+a_{0}\) be a polynomial […]

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February 16, 2021
Test of Mathematics Solution Subjective 170 - Infinite Circles

This is a Test of Mathematics Solution Subjective 170 (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 \({C_n}\) be an infinite […]

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February 16, 2021
Test of Mathematics Solution Subjective 166 -The Grazing Field

This is a Test of Mathematics Solution Subjective 166 (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 cow is grazing with […]

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February 16, 2021
Test of Mathematics Solution Subjective 157 -Limit of a product

This is a Test of Mathematics Solution Subjective 157 (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 Evaluate $ \mathbf {\displaystyle \lim_{n […]

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February 16, 2021
Test of Mathematics Solution Subjective 155 -The Lim 1/(n+r) Problem

This is a Test of Mathematics Solution Subjective 155 (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   Evaluate: $ \lim_{n\to\infty} (\frac{1}{n+1}+\frac{1}{n+2}+\frac{1}{n+3}+...+\frac{1}{n+n})$ […]

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February 16, 2021
Test of Mathematics Solution Subjective 150 - Maximum of nth roots of n

This is a Test of Mathematics Solution Subjective 150 (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 Find the maximum among $ […]

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February 16, 2021
Test of Mathematics Solution Subjective 144 - Finding a Function's Upper Bound

This is a Test of Mathematics Solution Subjective 144 (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 Suppose $ f(x)$ is […]

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December 6, 2024
Exploring Number Theory: Understand Euclidean Algorithm with IMO 1959 Problem 1

Solve beautiful Number Theory problem from IMO 1959 with the help of Euclidean Algorithm and Division Lemma.

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December 6, 2024
Australian Mathematics Competition - 2020 - Junior years - Grade 7 & 8 - Questions and Solutions

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 […]

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December 5, 2024
Australian Mathematics Competition - 2022 - Junior years - Grade 7 & 8 - Questions and Solutions

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 […]

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December 5, 2024
Australian Mathematics Competition - 2023 - Junior years - Grade 7 & 8 - Questions and Solutions

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 […]

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December 2, 2024
Books for the Australian Maths Comepetition(AMC)

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

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November 30, 2024
Australian Mathematics Competition - 2021- Junior years - Grade 7 & 8 - Questions and Solutions

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 […]

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November 30, 2024
Announcement of Singapore Mathematical Olympiad:

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 […]

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November 25, 2024
Australian Mathematics Competition - 2022 - Middle Primary Years - Grade 3 & 4 - Questions

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 […]

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November 25, 2024
Australian Mathematics Competition 2019 - Middle Primary Year 3 and 4 - Problems & Solutions

Problem 1: How many eggs are in these cartons? (A) 12(B) 15(C) 16(D) 18(E) 21 Problem 2: Which one of the following is the largest number? (A) 401(B) 410(C) 14(D) 140(E) 44 Problem 3: Which of the following is equal to 3 m? (A) 3 cm(B) 30 cm(C) 300 cm(D) 3000 cm(E) 36 cm Problem […]

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November 25, 2024
Australian Mathematics Competition 2018 - Middle Primary Year 3 and 4 - Problems & Solutions

Problem 1: What is double 4? (A) 2(B) 3(C) 8(D) 12(E) 24 Problem 2: Which pattern has exactly 10 dots? Problem 3: Which of the following is the same as 6 tens and 3 ones?(A) sixty-three(B) six and three(C) thirty-six(D) six hundred and three(E) sixty-one Problem 4: When I add 11 and another number, I […]

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