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SAMPLE PAPER
International Mathematics Olympiad
The actual test paper has 50 questions. Time allowed : 60 minutes.There are 3 sections: 20 questions in section I, 20 in section II and 10 in section III. Section – I : Logical Reasoning, Section – II : Mathematical Reasoning & Section – III : Everyday Mathematics
SYLLABUS
Roman numerals, Number sense, HCF and LCM, Addition and subtraction, Multiplication and division, Fractional numbers, Decimal fractions, Geometrical shapes, Angles, Arithmetical ability, Area and perimeter of rectangle, square, circle, triangle, Volume, Pictorial representation of data, Integers, Factors and multiples, Ratio and proportion, Percentage, Measurements. Problems based on figures, Find odd numeral out, Series completion, Coding-decoding, Mathematical reasoning, Mirror images, Embedded figures, Patterns, Direction sense, Number Ranking and Alphabetical test.
SOF
LOGICAL REASONING 1. The following are the results from the class election. If 150 students voted, about how many votes did Ram receive? (A) 25 (B) 38 (C) 50 (D) 75
Class President Results Ram Jiwan
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2. The weekly milk order for the New Guest house includes 40 litres of lowfat milk and 15 litres of chocolate milk. What is the ratio of the number of lowfat milk to chocolate milk in the New Guest house’s weekly milk order? (A) 3 : 1 (B) 5 : 1 (C) 5 : 3 (D) 8 : 3
A B
3. When wheel B turns 2 revolutions, wheel A turns 5 revolutions. When wheel A turns 40 revolutions, how many revolutions does wheel B turn? (A) 4 (B) 16 (C) 80 (D) 100 4. Sita studied these pictures of fractions. What pattern might she correctly notice in the fractions? (A) Increasing the denominator increases the value of the fraction (B) If the denominator stays the same and the numerator increases, the fraction names as smaller amount (C) Increasing the denominator by 2 cuts the size of the fraction in half (D) If