MATH OLYMPIAD PRACTICE PROBLEMS FOR 6TH GRADE

Question 1 :

Find the value of 

Solution

Question 2 :

On 1^st March some years ago, one US Dollar could be exchanges for 1.45 Singapore dollar. On the same day, 1000 Thai Bhat could buy 50 Singapore dollars. How much US dollars could 29000 Thai Bhat buy on that day ?

(A)  500  (B)  2000  (C)  1000   (D)  1500

Solution

Question 3 :

The average age of seven numbers is 49 y, if 1 is added to the first number, 2 is added to the second number, 3 is added to the third number and so on upto the seventh number, what is the new average ?

(A)  53y  (B)  53y + 1  (C)  49y + 4  (D)  7y + 13

Solution

Question 4 :

Ravi and Harish take 1 hour to clean the fish tank together. If Ravi takes m hours to clean the tank on his own, how long will it take Harish to clean the tank alone ?

(A)  1/m hours   (B)  (m - 1)/m hours   (C)  m/(m - 1) hours 

(D)  (m - 1) hours

Solution

Question 5 :

Meera had to cut some identical circles of radius 2 cm from the rectangular sheet of paper measuring 60 cm by h cm as shown. What is the maximum number of circle she could cut ?

(A)  3.75 h  (B)  3.15 h  (C)  15 h  (D)  12 h

Solution

Question 6 :

A basket of pears and 2 baskets of oranges weigh 13 kg. 2 baskets of apples and 2 baskets of oranges weigh 22 kg. 3 baskets of pears and 2 baskets of apples weigh 21 kg. How much does each basket of fruit weigh ?

(A)  3, 5, 6  (B)  2, 5, 3  (C)  1, 5, 6  (D)  2, 3, 3

Solution

Question 7 :

Miss Cussler was born on the 1st January many years ago. In 2002, her age was the sum of all four digits of the year that she was born in. How old was Miss Cussler in 2002 ?

(A)  15 years    (B)  20 years    (C)  22 years   (D)  12 years

Solution

Question 8 :

There is a flight of 8 steps in a staircase. A person can either take one or two steps up each time. In how many ways can the person reach the eighth step ?

(A)  64  (B)  56   (C)  21  (D)  48

Solution

Question 9 :

There are ten points on the circumference of a circle. How many triangles can be formed by using any three points as their vertices ?

(A)  720    (B)  10!    (C)  120    (D) 9!

Solution

Question 10 :

The figure given below is made up of three-quarter circle and a quadrant. O is the center of the circle. What is the area of the figure ?

Solution

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