Primary 6 Olympiad math questions, 1 hour urgent, 1 hour after 35

A rich man was about to pass away, so he asked his only son to choose one of 10,000 gold coins, 30,000 silver coins, 50,000 copper coins, 100,000 iron coins, 200,000 yuan, and 1 million paper coins, and leave the rest to be given to the victims! The only son finally asked the weight of each coin - gold coins weigh 35 grams each, silver coins weigh 50 grams each, copper coins weigh 75 grams each, iron coins weigh 120 grams each, paper money each weighs 500 grams, the rich man asked the only child to choose one in 1 minute, please ask the only child according to the current market price in this way to keep the most money!!

1. A and B 2 people can process a total of 54 parts in 2 hours, and A processes 4 more parts in 3 hours than B in 4 hours. Q: How many pieces of A are processed per hour?

2. How many kilograms of B sugar can be mixed with 5 kg of A sugar and 5 kg of B sugar to make the mixed sugar per kilogram?

3. There are 27 boxes of chopsticks in large, medium and small packaging, respectively containing double chopsticks, a total of 330 pairs of chopsticks, of which the number of small boxes is twice the number of medium boxes. Q: How many boxes are there in each of the three types of boxes?

4. There are a number of students in the classroom. After 10 girls left, the number of boys was twice as high, and after another 10 girls left, the number of boys was four times that of girls. Q: How many students were in the classroom?

5. Two classes in the sixth grade will take the test (the number of participants in the test in the two classes is equal), and the number of students in one class who meet the test is 3 times more than the number of people who do not meet the standard. The number of people who meet the standard in the second class is 5 more than that in the first class, which is exactly 5 times the number of people who do not meet the standard. How many students are in each class?

6. Buy a TV set by installments, pay 750 yuan in the first month and 150 yuan per month thereafter; Or pay 300 yuan for the first half of the time and 100 yuan per month for the second half of the time. The total amount and timing of payments are the same for both payment methods. How much is the ** of this TV?

Go to the library and search for "Learn Olympiad Mathematics, there is always a book for you here", there are a lot of them in that anthology, or color with comics, it is estimated that it is suitable for your math tabloid, and it is free.

A container is 300 grams of salt water with 8 percent, and 120 grams of salt water with 1 percent. Pour the same amount of water into the two containers A and B, so that the concentration of salt water in the two containers is the same. How many grams of water should be poured into each container?

There are 100 floors on the first floor, there is a light on each floor of the stairwell (a total of 100 lights), all of which are off at the beginning, 100 people go upstairs, the first person only presses each switch once (all the lights are on), the second person presses all the lights on the floor that can be divisible by 2 (i.e., the third person presses (and so on, the 100th person only presses the last switch (that is, the switch of the stairwell on the 100th floor), and asks which lights are on at the end?

Answer: 1, 4, 9, 16, 25, 36, 49, 64, 81, 100 is all the perfect square number of lights on even times off odd times on, such as: 1 layer of lights on once.

The 2nd floor light was turned off by the 1st and 2nd people for a total of 2 times.

The 4th layer of lights is turned on by the 1st 2nd 4 people 3 (odd) times.

Analysis: The age of Grandpa and Xiao Ming Wei changes with the passage of time, but their age difference remains the same. Grandpa's age is now 6 times that of Xiao Ming, indicating that their age difference is a multiple of 6 1 5;

In the same way, their age difference is also a multiple of 4,3.

From this, it can be inferred that their age difference is a common multiple of 5,4,3.

5,4,3 least common multiple = 5 4 3 = 60, the age difference between grandpa and Xiao Ming is an integer multiple of 60.

Considering the actual situation of Heng Xuan to age, the age difference between grandpa and Xiao Ming should be 60 years old.

So now Xiao Ming's age = 60 (6-1) = 12 (years old), and grandpa's age = 12 6 = 72 (years old).

The old man said: This year, my age is 6 times that of yours (6 Xiao Ming = 1 master), and the age between them is 5 Xiao Ming.

In a few years, my age is 5 times your age (5 Xiao Ming = 1 master), and the number of years between them is 4 Xiao Ming.

In a few years, my age will be 4 times that of yours (4 Xiao Ming = 1 master) and the age between them will be 3 Xiao Zen Pei Ming.

Since the age does not change, only a common multiple of 5,4,3 is required, and only 60 is realistic.

60 5=12 So Xiao Ming is 12 years old this year, and Master Fu Shou is 72 years old.

60 4=15 So when Xiao Ming was 15 years old, the old man was 75 years old.

60 3=20 So when Xiao Ming was 20 years old, the old man was 80 years old.

I only know that the answer is only the case of plagiarism.

Today, Chenling Pei is 12 years old, and his grandfather is 72 years old.

In a few years, Xiao Wang Tingming will be 15 years old, and the old man will be 75 years old.

In a few years, Xiao Ming will be 20 years old, and the old man will be 80 years old.

There are 23 red and white hail rows, 20 red macros and blacks, and 25 white and black rows.

Add them all together to get 2 times the total number of balls.

So the total number of balls is (23 + 20 + 25) 2 = 34 and the number of red balls is 34-25 = 9

The number of white balls is 34-20=14

The number of black balls is 34-23=11

Red + White = 23

Red + Black = 20

White + Black = 25

2 (red + white wheel old + black) = 23 + 20 + 25 = 68 red + white + black = 34

Black = 34-23 = 11 wax only liters.

Red = 34-25 = 9.

White = 34-20 = 14.

Red 9 white 14

Black 11 understands? With ternary equations.

There are x red balls, y white balls, and z black balls.

x+y=23, x+z=20, y+z=25, x+y+z=(23+20+25)

Solve x, y, z

9 red balls, 14 white balls, 11 black balls.