Q.1 |
In a 4 × 100 m relay race, Shilpa runs the first 100 m in XXIII seconds. Ridhima runs the second 100 m in XIV seconds. Vandita runs the third 100 m in XVIII seconds and Shweta runs the final 100 m in XVI seconds. In how many seconds will they complete the race (in Roman numerals)? |
a) |
LXXI |
b) | LIXX |
c) | LXXII |
d) | LVII |
Q.2 |
There are two teams of two people each competing in a relay race. The race is for 1 km and each member of a team has to run 500 m. Sita and Sachin are in one team, and the Tina twins form the second team. Sita can run 500 m in 1 2/3 minutes. Sachin can run 500 m in 1 59/60 minutes. Each of the Tina twins can run 500 m in 1 19/30 minutes. Which pair wins the race and by how much time? |
a) |
Tina twins win the race by 23 seconds |
b) | Tina twins win the race by 31 seconds |
c) | Sita and Sachin win the race by 31 seconds |
d) | Sita and Sachin win the race by 23 seconds |
Q.3 |
The juice cart sold 124.94 litres of grape juice on Wednesday and 17.47 litres more than this quantity on Thursday. The following day, 19.86 litres less grape juice was sold than the quantity sold on Thursday. How many litres of grape juice were sold on Friday? |
a) |
123.95 litres |
b) | 122.9 litres |
c) | 122.55 litres |
d) | 122.81 litres |
Q.4 |
Fill in the blank: In the field of Roman Numerals, there is a symbol called 'bar'. If it is placed over a numeral, then it is multiplied by _____. |
a) |
1 |
b) | 10 |
c) | 100 |
d) | 1000 |
Q.5 |
Arya wants to buy some cloth material. One metre of cloth costs Rs. 25 1/2. How much would it cost her if she buys 58 1/2 metre of the cloth from another shop who gives her one metre in Rs. 20 1/2? |
a) |
Rs. 1491.75 |
b) | Rs. 1160.50 |
c) | Rs. 1199.25 |
d) | Rs. 1314.50 |
Q.6 |
Manju had a bar of chocolate which has 12 pieces. She gave one-fourth of it to Raj, one-third of it to Sujata and one-sixth of it to Sheela. After distribution, how many pieces of chocolate is left with her? |
a) |
6 |
b) | 2 |
c) | 4 |
d) | 3 |
Q.7 |
George is travelling to Bengaluru and has already travelled 216 km. If 73 % of his journey is still remaining, then how many km does he still have to travel? |
a) |
515 km |
b) | 584 km |
c) | 582 km |
d) | 500 km |
Q.8 |
What is the price at which the grocer sold all boxes of bananas, if he bought 19 boxes, each containing a dozen bananas, at a rate of Rs. 6 per banana and earned a profit of Rs. 1368 from selling the entire lot? |
a) |
2768 |
b) | 1338 |
c) | 684 |
d) | 144 |
Q.9 |
You have one full pizza, out of which your friend eat one-hundredths six times from it. There is some part of the pizza left for you. How much you will get to eat? |
a) |
0.84 |
b) | 0.74 |
c) | 0.94 |
d) | 0.6 |
Q.10 |
The total length of the three sticks is 13.43 m. If the length of the two sticks is 3 m 15 cm, and 4 m 13 cm, then find the length of the third stick. |
a) |
6 m 25 cm |
b) | 5 cm 30 cm |
c) | 6 m 15 cm |
d) | 5 m 20 cm |
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Sample PDF of SOF - International Mathematics Olympiad (IMO) PDF Sample Papers for Class 5:
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Answers to Sample Questions from Olympiad Success:
Q.1 : a | Q.2 : a | Q.3 : c | Q.4 : d | Q.5 : c | Q.6 : d | Q.7 : b | Q.8 : a | Q.9 : c | Q.10 : c