Shine Mathematics Olympiad is designed for grades 6th to 12th by Graposs Connect for Shine Olympiad. Mathematics as a discipline builds mental rigor in students and is also the foundation of academia. Mathematical literacy promotes understanding of other school subjects and also encourages quantitative reasoning and spatial ability.
Shine Mathematics Olympiad helps strengthen mental mathematical calculations in students which helps them be quicker and smarter at not only math but also holistically.
Get ready for Shine National Olympiad with Practice tests and Progress reports.
Syllabus & Marking scheme
Mathematics
Syllabus
Mathematical Thinking: Integers, Fractions and Decimals, Factors and Multiples LCM and HCF, Algebraic Expressions, Simplification; Application Mathematics: Fun with Numbers, Ratio, Proportion and Unitary Method, Geometrical Concept, Data Handling; Logical Thinking: Verbal Thinking, Non Verbal Thinking
Marking scheme
Section
Number of Questions
Mathematical Thinking
20
Application Mathematics
10
Logical Thinking
15
Achiever’s Section
5
The Olympiad exam will have a total of 50 questions as per the table above.
1 Mark shall be given for every correct answer.
There shall be no Negative marking.
Students shall be given 60 minutes to complete the test.
Percentile Ranks shall be given to all students.
Toppers shall be decided from the top percentile ranks on the basis of raw scores and time taken by the student to complete the exam.
Sample Questions
Q.1 Which of the following are not twin primes?
a. 3, 5
b. 11,13
c. 5,7
d. 17,23
Q.2 If the HCF of two numbers is 16 and their product is 3072 then their LCM is:
a. 182
b. 192
c. 12
d. None of these
Q.3 Choose the incorrect option:
a. -8 < 8
b. 0 < - 12
c. -15 < - 5
d. -386 < 308
Q.4 The value of 0.008 × 0.01 × 0.072 ÷ (0.12 × 0.0004) is-
a. 1.2
b. 0.12
c. 0.012
d. 1.02
Q.5 What is the largest 5-digit number with distinct digit?
a. 99999
b. 90009
c. 98765
d. 98009
Q.6 On a particular day the temperature of Delhi at 10.00 am was 13° C but by the midnight, it fell down to 6° C. The temperature of Mumbai at 10 am the same day was 18° C but fell down to 10° C by mid night. Which fall is greater?
a. Delhi
b. both are same
c. Mumbai
d. None of the above
Mathematics
Syllabus
Mathematical Thinking: Exponents and Powers, Algebraic Expression, Linear Equations, Perimeter and Area, Visualising solid shapes, Practical Geometry; Application Mathematics: Integers, Fractions and Decimals, Lines and Angles, The triangle and its Properties, Data Handling; Logical Thinking: Verbal Thinking, Non Verbal Thinking;
Marking scheme
Section
Number of Questions
Mathematical Thinking
20
Application Mathematics
10
Logical Thinking
15
Achiever’s Section
5
The Olympiad exam will have a total of 50 questions as per the table above.
1 Mark shall be given for every correct answer.
There shall be no Negative marking.
Students shall be given 60 minutes to complete the test.
Percentile Ranks shall be given to all students.
Toppers shall be decided from the top percentile ranks on the basis of raw scores and time taken by the student to complete the exam.
Sample Questions
Q.1 The literal coefficient of -9xyz2 is
a. -9
b. xyz
c. xyz2
d. -9xy
Q.2 a(b-c)+b(c-a)+c(a-b) is equal to
a. ab+bc+ca
b. 0
c. 2(ab+bc+ca)
d. none of these
Q.3 Area of a triangle is 30 cm2. If its base is 10 cm, then its height is
a. 5 cm
b. 6 cm
c. 7 cm
d. 8 cm
Q.4 If P and Q are any two points on a circle, then the line segment PQ is called a
a. radius of the circle
b. diameter of the circle
c. chord of the circle
d. secant of the circle
Q.5 If each edge of a cube is increased by 40% the percentage increase in its surface area is__
a. 40
b. 60
c. 80
d. 96
Q.6 The sum of the squares of 3 consecutive positive numbers is 365. The sum of the numbers is
a. 30
b. 33
c. 36
d. 45
Mathematics
Syllabus
Application Mathematics: Rational Number, Cube And Cube Roots, Linear Equation In One Variable, Understanding Quadrilaterals, Data Handling, Mensuration, Square And Square Roots, Exponents And Powers, Direct and Inverse, Proportions, Factorisation; Logical Thinking: Verbal Thinking, Non Verbal Thinking; Mathematical Thinking
Marking scheme
Section
Number of Questions
Application Mathematics
10
Logical Thinking
15
Mathematical Thinking
20
Achiever’s Section
5
The Olympiad exam will have a total of 50 questions as per the table above.
1 Mark shall be given for every correct answer.
There shall be no Negative marking.
Students shall be given 60 minutes to complete the test.
Percentile Ranks shall be given to all students.
Toppers shall be decided from the top percentile ranks on the basis of raw scores and time taken by the student to complete the exam.
Sample Questions
Q.1 A number when divided by 6 leaves remainder 3. When the square of the same number is divided by 6, the remainder is-
a. 0
b. 2
c. 1
d. 3
Q.2 If 21 is added to a number, it becomes 7 less than thrice of the number. Then, the number is-
a. 14
b. 16
c. 18
d. 19
Q.3 The sum of the squares of 3 consecutive positive numbers is 365. The sum of the numbers is:
a. 30
b. 33
c. 36
d. 45
Q.4 The sum of a two digit number and the number obtained by reversing its digits is a square number. How many such numbers are there ?
a. 5
b. 6
c. 7
d. 8
Q.5 If 5 is added to twice of a number it becomes 6, then the number is:
a. 0.5
b. 5
c. 0.25
d. None of these
Q.6 Mohan gets 3 marks for each correct sum and loses 2 marks for each wrong sum. He attempts 30 sums and obtains 40 marks. The number of sums solved correctly is-
a. 25
b. 10
c. 15
d. 20
Mathematics
Syllabus
Application Mathematics: Coordinate Geometry, Linear Equation in Two Variable, Lines And Angles, Triangles, Quadrilaterals, Areas of Parallelogram and Triangles, Circle, Surface Areas And Volume; Logical Thinking: Verbal Thinking, Non Verbal Thinking; Mathematical Thinking;
Marking scheme
Section
Number of Questions
Application Mathematics
10
Logical Thinking
15
Mathematical Thinking
20
Achiever’s Section
5
The Olympiad exam will have a total of 50 questions as per the table above.
1 Mark shall be given for every correct answer.
There shall be no Negative marking.
Students shall be given 60 minutes to complete the test.
Percentile Ranks shall be given to all students.
Toppers shall be decided from the top percentile ranks on the basis of raw scores and time taken by the student to complete the exam.
Sample Questions
Q.1- The sum of the squares of 3 consecutive positive numbers is 365. The sum of the numbers is:
a. 30
b. 33
c. 36
d. 45
Q.2- Which of the following numbers should be added to 11158 to make it exactly divisible by 77?
a. 9
b. 8
c. 6
d. 7
Q.3- If the number formed by the last two digits of a three digit integer is an integral multiple of 6% the original integer itself will always be divisible by:
a. 6
b. 3
c. 2
d. 12
Q.4- The sum of two numbers is 2490 and if 6.5% of one number is equal to 8.5% of the other, then numbers are-
a. 1414, 1076
b. 1411, 1079
c. 1412, 1078
d. None of these
Q.5- If 45% of a number is added to the another number, the first number becomes 135 times of the another number. What is the ratio of these two numbers?
a. 8:7
b. 3:2
c. 7:8
d. None of these
Q.6- The sum of all prime numbers between 30 and 42 is:
a. 103
b. 109
c. 105
d. 104
Mathematics
Syllabus
Application Mathematics: Similarity of Triangles, Coordinate Geometry, Circles, Area Related to Circles, Statistics; Logical Thinking: Verbal Thinking, Non Verbal Thinking; Mathematical Thinking: LCM and HCF, Polynomials, Pair of Linear Equations in two variables, Quadratic Equation, Arithmetic Progression, Trigonometry, Probability;
Marking scheme
Section
Number of Questions
Application Mathematics
10
Logical Thinking
15
Mathematical Thinking
20
Achiever’s Section
5
The Olympiad exam will have a total of 50 questions as per the table above.
1 Mark shall be given for every correct answer.
There shall be no Negative marking.
Students shall be given 60 minutes to complete the test.
Percentile Ranks shall be given to all students.
Toppers shall be decided from the top percentile ranks on the basis of raw scores and time taken by the student to complete the exam.
Sample Questions
Q.1- Pick the odd one out.
a. 22, 16, 10, 4, ...
b. -5, -3, -1, 1, ...
c. -3, 3, -3, 3, 3, ...
d. 3, 1, -1, -3, ...
Q.2- If cos4A-sin4A = x, then value of x is
a. cos2A-1
b. 2cos2A-1
c. 2cos2A+1
d. cos2A+1
Q.3- Two events A and B have probabilities 0.25 and 0.50, respectively. The probability that both A and B occur simultaneously is 0.12. Then, the probability that neither A nor B occurs is:
a. 0.13
b. 0.38
c. 0.63
d. 0.37
Q.4- Three numbers which are co prime to each other are such that the product of the first two numbers is 42 and the product of the last two numbers is 78. Then, the sum of all the three numbers is:
a. 25
b. 32
c. 26
d. 13
Q.5- The greatest number which on dividing 1659 and 2036 leaves remainders 8 and 4, respectively is:
a. 124
b. 129
c. 127
d. 305
Q.6- Reflection of the point (2, -7) in the y-axis is:
a. (2, 7)
b. (-2, -7)
c. (-7, 2)
d. (7, -2)
Mathematics
Syllabus
Sets; Relations and Functions; Trigonometric Functions; Complex Numbers and Quadratic Equations; Linear Inequalities; Permutations and Combinations; Binomial Theorem; Sequence and Series; Straight Lines; Conic Sections; Introduction to Three Dimensional; Geometry; Limits and Derivatives; Mathematical Reasoning; Statistics; Probability;
Marking scheme
Section
Number of Questions
Mathematics
50
The Olympiad exam will have a total of 50 questions as per the table above.
1 Mark shall be given for every correct answer.
There shall be no Negative marking.
Students shall be given 60 minutes to complete the test.
Percentile Ranks shall be given to all students.
Toppers shall be decided from the top percentile ranks on the basis of raw scores and time taken by the student to complete the exam.
Sample Questions
Q.1- Two finite sets have m and n elements. The number of subsets of the first set is 112 more than that of the second set. The values of m and n are, respectively,
a. 4, 7
b. 7, 4
c. 4, 4
d. 7, 7
Q.2- Let F1 be the set of parallelograms, F2 the set of rectangles, F3 the set of rhombuses, F4 the set of squares and F5 the set of trapeziums in a plane. Then F1 may be equal to:
a. F2 ∩ F3
b. F3 ∩ F4
c. F2 ∪ F5
d. F2 ∪ F3 ∪ F4 ∪ F1
Q.3- The domain and range of the function f given by f(x) = 2 - |x - 5| is:
a. Domain = R+, Range = (-∞, 1]
b. Domain = R, Range = (-∞, 2]
c. Domain = R, Range = (-∞, 2)
d. Domain = R+, Range = (-∞, 2]
Q.4- Let x, y ∈ R, then x + iy is a non real complex number if:
a. x = 0
b. y = 0
c. x ≠ 0
d. x ≠ 0
Q.5- If the sum of n terms of an A.P. is given by S = 3n + 2n2, then the common difference of the A.P. is:
a. 3
b. 2
c. 6
d. 4
Q.6- lf f(x) = ax + b, where a and b are integers, f(-1) = -5 and f(3) = 3, then a and b are equal to
a. a = -3, b = -1
b. a = 2, b = -3
c. a = 0, b = 2
d. a = 2, b = 3
Mathematics
Syllabus
Relations and Functions; Inverse Trigonometric; Function; Matrices; Determinants; Continuity and Differentiability; Application of Derivatives; Integrals; Application of Integrals; Differential Equations; Vector Algebra; Three Dimensional; Geometry; Linear Programming; Probability
Marking scheme
Section
Number of Questions
Mathematics
50
The Olympiad exam will have a total of 50 questions as per the table above.
1 Mark shall be given for every correct answer.
There shall be no Negative marking.
Students shall be given 60 minutes to complete the test.
Percentile Ranks shall be given to all students.
Toppers shall be decided from the top percentile ranks on the basis of raw scores and time taken by the student to complete the exam.
Sample Questions
Q.1- Consider the non-empty set consisting of children in a family and a relation R defined as aRb if a is brother of b. Then R is:
a. symmetric but not transitive
b. transitive but not symmetric
c. neither symmetric nor transitive
d. both symmetric and transitive
Q.2- The points at which the tangents to the curve y = x3 - I2x + 18 are parallel to X-axis are:
a. (2, -2), (-2, -34)
b. (2, 34), (-2, 0)
c. (0, 34), (-2, 0)
d. (2, 2), (-2, 34)
Q.3- The maximum number of equivalence relations on the set A = {1,2, 3} are:
a. 1
b. 2
c. 3
d. 5
Q.4- Total number of possible matrices of order 3 × 3 with each entry 2 or 0 is:
a. 9
b. 27
c. 81
d. 512
Q.5- If A and B are matrices of same order, then (AB'-BA') is a:
a. skew symmetric matrix
b. null matrix
c. symmetric matrix
d. unit matrix
Q.6- The function f(x) = tanx –x
a. always increases
b. always decreases
c. never increases
d. sometimes increases and sometimes decreases.
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Get ready for Shine National Olympiad with Practice tests and Progress reports.
Frequently Asked Questions (FAQ's)
Shine Maths Olympiad (SMO) is an examination curated with advanced level mathematics to work on a student's current potential. It is designed keeping in mind various state boards as well as ICSE and CBSE Board. Ample mock tests are also provided to completely prepare students for taking the SMO.
Shine Math Olympiad is curated to be age/class agnostic, adhering strictly to the designated syllabus for each class. To prepare for Shine Math Olympiad, students can revise directly from their books and then practice using the free mock tests provided and gauge their preparation using the analysis report given after every mock test.
Math Olympiad help students to enhance their arithmetic and logical skills and at the same time it gives them an understanding of competitive exams. The syllabus of the Olympiad exam is usually grade specific, so yes, taking an Olympiad would also help students in their schools.
Shine Mathematics Olympiad (SMO) Exam is to encourage competitive preparation in students. This will enable them to sharpen their logical and problem solving skills.
