International Mathematics OIympiad Test Papers
CL AS S
9
SAMPLE PAPER
International
Mathematics Olympiad
The actual test paper has 50 questions. Time allowed : 60 minutes. There are 3 sections: 20 questions in sec tion I, 20 in section II and 10 in section III.
S Y L L A BU S
Section – I (Logical reasoning) : Mathematical operations, Series completion, Arithmetical Reasoning,
Problems on c ubes and dice, Number ranking & Time sequence Test, Inserting missing character and general reasoning based on prescribed syllabus.
Section – II (Mathematical reasoning) : Number Sy stems, Polynomials, Coordinate Geometry, Linear
Equations in Two Variables, Introduction to Euclid’s Geometry, Lines and Angles, Triangles, Quadrilaterals,
Areas of Parallelograms and Triangles, Circ les, Constructions, Heron’s Formula, Surface Areas and Volumes,
Statistics, Probability.
Section – III (Everyday Mathematics) : The Sy llabus of this section will be based on the syllabus of
Mathematical Reasoning.
SOF
LOGICAL REASONING
1. A pples, cherries and grapes are arranged on a platter in the f ollowing f ashion: opposite sectors contain f ruit which is of equal value. To equal the value of two bunches of grapes, how much f ruit m ust be placed in the em pty sector?
(A )
(B )
(C)
?
(D)
2. There are twenty people working in an off ice. The f irst group of f ive works between 8.00 A .M. and
2.00 P.M. The second group of ten works between 10.00 A .M. and 4.00 P.M. And the third group of f ive works between 12 noon and 6.00 P.M. There are three computers in the off ice which all the em ployees f requently use. During which of the f ollowing hours are the com puters likely to be used most?
(A ) 10.00 A .M. – 12 noon
(B ) 12 noon – 2.00 P.M.
(C) 1.00 P.M. – 3.00 P.M.
(D) 2.00 P.M. – 4.00 P.M.
3. If L denotes ¸ , M denotes ×, P denotes + and Q denotes –,
9
SAMPLE PAPER
International
Mathematics Olympiad
The actual test paper has 50 questions. Time allowed : 60 minutes. There are 3 sections: 20 questions in sec tion I, 20 in section II and 10 in section III.
S Y L L A BU S
Section – I (Logical reasoning) : Mathematical operations, Series completion, Arithmetical Reasoning,
Problems on c ubes and dice, Number ranking & Time sequence Test, Inserting missing character and general reasoning based on prescribed syllabus.
Section – II (Mathematical reasoning) : Number Sy stems, Polynomials, Coordinate Geometry, Linear
Equations in Two Variables, Introduction to Euclid’s Geometry, Lines and Angles, Triangles, Quadrilaterals,
Areas of Parallelograms and Triangles, Circ les, Constructions, Heron’s Formula, Surface Areas and Volumes,
Statistics, Probability.
Section – III (Everyday Mathematics) : The Sy llabus of this section will be based on the syllabus of
Mathematical Reasoning.
SOF
LOGICAL REASONING
1. A pples, cherries and grapes are arranged on a platter in the f ollowing f ashion: opposite sectors contain f ruit which is of equal value. To equal the value of two bunches of grapes, how much f ruit m ust be placed in the em pty sector?
(A )
(B )
(C)
?
(D)
2. There are twenty people working in an off ice. The f irst group of f ive works between 8.00 A .M. and
2.00 P.M. The second group of ten works between 10.00 A .M. and 4.00 P.M. And the third group of f ive works between 12 noon and 6.00 P.M. There are three computers in the off ice which all the em ployees f requently use. During which of the f ollowing hours are the com puters likely to be used most?
(A ) 10.00 A .M. – 12 noon
(B ) 12 noon – 2.00 P.M.
(C) 1.00 P.M. – 3.00 P.M.
(D) 2.00 P.M. – 4.00 P.M.
3. If L denotes ¸ , M denotes ×, P denotes + and Q denotes –,