To find five Olympiad math application problems for the sixth grade of primary school, it is not dif

1. A class has a meeting, the number of people who ask for leave is 1 9 of the number of attendees, and another person asks for leave to leave in the middle, so that the number of people who ask for leave is 3 22 of the number of attendees, so how many people are there in this class?

The total number of students decreases by 1 person, 9 5 = 45, 22 2 = 44, 45 44 = 1, so there are 45 students in this class.

2. There are 260 students in the second grade of a primary school, of which boys account for 8 13 of the total number of students in the whole grade, in order to make girls at least 3 7 of the total number, so it is decided to recruit some more girls, so how many girls will be recruited at least?

260 8 13 (1 3 7) 260 = 20 (person).

3. The canteen bought three kinds of vegetables: radish, green vegetables and potatoes. The weight of radish accounts for 2 5 of the weight of the three types of vegetables, the weight of green vegetables is 1 4 of that of potatoes, radish is 360 kg less than potato, how many kg of radish is bought in the canteen?

Turnips account for all: 2 5

Potatoes account for the total: (1 2 5) 4 (1 4) = 12 25

Turnips are: 360 (12 25 2 5) 2 5 = 1800 (kg).

4. A, B, C, and D planted a total of 60 trees, the number of trees planted by A is 1 2 of the other three, the number of trees planted by B is 1 3 of the other three, and the number of trees planted by C is 1 4 of the other three.

As can be seen from the known conditions:

The number of trees planted by A is 1 3 of all, the number of trees planted by B is 1 4 of all, and the number of trees planted by C is 1 5 of all.

Ding planting trees is: 60 (1-1 3-1 4-1 5) = 13 (trees).

5. Football match tickets are 15 yuan a ticket, and after the price reduction, the audience has increased by half, and the income has increased by 1 5, how much is the price reduction of a ticket?

Assuming that there were 2 people, the ticket revenue was 15 2 = 30 (yuan).

Now there are 2 people), the ticket income is 30 (1 + 1 5) = 36 (yuan), and the average ticket is 36 3 = 12 (yuan).

The price of one ticket has been reduced: 15 12 = 3 (yuan).

1.Class A and Class B conducted a cross-country marching competition, and Class A walked half of the distance at a speed of 1,000 kilometers and completed the other half at a speed of 1,000 kilometers. Class B travels at a speed of kilometres per hour for half of the race and at a kilometre-hour pace for the other half of the race. Q:

Who will win in Class A and Class B?

2.The ferry journey from city A to city B takes 3 days, and the journey from city B to city A takes 4 days. How many days does it take to float an unpowered raft from City A to City B?

1.Let the total distance be s

Shift A time s 2 + s 2 = 20s 99 shift B time s*2 ( = s 5

Class B is short and wins.

2.Set the distance from city A to city B S

Then the velocity from A to B (downstream) is S 3, the velocity from B to A (countercurrent) is S 4, and the water velocity is (S 3-S 4) 2=S 24

That is, it takes 24 days to drift on a raft without power.