**Math Olympiad Questions with solutions : Fractions Class 6**

**1.The daily consumption of milk in a family is 3 1/4 litres. The quantity of milk consumed by the family during the month of september is**

**(A)** 90 litres **(B)** 100 1/2 **(c)** 97 1/2 **(D)** 97 2/3

**2. In Rajeev’s rose garden, 3/12 are white roses, 4/12 are yellow roses and the rest are red roses. What fraction of the roses are red ?**

**(A)** 1/12 **(B)** 5/12 **(C)** 3/12 **(D)** 4/12

**3. Three equivalent fractions of 2/3 are____________.**

**(A)** 2/6, 3/6, 4/12 ** (B)** 4/6, 6/9, 8/12 ** (C)** 3/6, 7/6, 8/12 **(D)** 4/6, 8/6, 3/6

**4. My elder sister divided a watermelon into 18 parts. I ate 7 out of them. My friend ate 4. What fraction of watermelon remained ?**

**5.In which figure does the shaded part represents 1/3 ?**

**6.The models are shaded to show which of the following ?**

**13.A small tank is 2/5 full of water. The water is then poured into a large empty tank which has a capacity that is twice that of the small tank. What fraction of the large tank is filled with water?**

**15.Which of the following orders are the fractions from the smallest to the largest ?**

**16. In which of the following does the shaded part represent one third of its whole ?**

**19. Which of the following is true for the shaded parts of models shown?**

**20.How many more equal-sized pieces would you need to make a whole for figure?**

**(A)**1 ** (B)** 2 **(C)** 4 ** (D)** 6

**21.Aman had 128 trading cards. He gave 3/8 of his cards to Mohit and 1/4 of his cards to Kushal. How many cards did he give away altogether?**

**(A)** 50 ** (B)** 65 ** (C)** 80 ** (D)** 75

**DIRECTION (23-24)** :** Look at the alphabets given below and answer the questions.**

** K E S H A V**

**23. What fraction of alphabets are made of 3 straight lines ?**

**24. What fraction of alphabets are made of curved lines ?**

**25. What fraction of one metre is 10 cm ?**

**26. Which of the following expressions is correct ?**

**27.Write the equivalent fractions represented by the shaded portions of these figures.**

**28.Reena eats one full bar of chocolate. Then she divides another one into 5 equal parts and eats 3 of those parts. The total number of chocolates that she has eaten in fraction is**

## Comments by Paras