25-08-2017, 09:32 PM
SAMPLE PAPER Maths Olympiad
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Q1. Calculate the area of the square whose perimeter is 36m.
Q2 (a)The perimeter of two squares are 32cm and 24cm. Find the side of that square whose
perimeter is the sum of the perimeters of these two squares .
(b) A 100m side square can be divided into how many rectangles of size 2m by 1m
Q3 (a) Meera has made sweets . If she gave away t sweets and 8 remains , how man sweets
did she make?
(b) Write the algebraic expression:
(i) The quotient of x and y added to four times the product of x and y.
(ii) The sum of x , y and z divided by three times the sum of x and y.
Q4. In a train a group of 14 students have to pay Rs 196 for tickets. How much money in all they
have to pay if 16 more students join them in the trip?
Q5 (a) Find the ratio of : A dozen to a score.
(b) Length of a field is 40m and breadth is 15m. What is the ratio of length of the field to its
perimeter.
Q6 (a) The age of Anita’s mother is three times her age. Her brother’s age is four years more
than her’s. What is the total age of all the three?
(b) Amit has x toffees and Sudhir has 3 times more toffees than Amit. How many toffees do
both of them have?
Q7. A company announces to pay the players Rs 1500 for five sixes and Rs1250 for five fours in a
cricket match. How much money will a player get if he hits four sixes and four fours?
OR
The first ,third and fourth terms of a proportion are 3, 21, 105. What is the second term?
Q8 (a) Are 20g , 100g , 6kg , 30kg in proportion?
(b) What is the number 6 less than 3 ?
Q9 (a) Sum of two integers is -80. If one of them is -90, then what will be the other integer?
(b) Find the value of : -400 + (+ 347) – ( - 62) – (+ 38)
Q10 (a) How many perpendicular bisectors are required to trisect a line segment?
(b) How many circles can be drawn through one given point?
© What type of angle is formed by the two lines or rays if they intersect perpendicularly?