6th Grade Math Puzzles, Mathematics Puzzles 6th Grade .

Day 2: 1/4 * 2/3 = 1/6

The remaining fraction: 1-6/1-1/4 = 7/12 is divided by the known amount: 84 divided by 7/12 = 144 tons.

Absolutely!

Set cement altogether x.

Day 1 x 4

2x 12 the next day

x-x/4-2x/12=84

Solve x and you're good to go.

Suppose this pair of cement has x tons.

Quarter x + sixth x = x-84

The first day of fortune accounts for 1 4 + (1 4) * (2 3) = 5 12

So there is a total of 84 (1-5 12) = 144

On the first day there were 3 4 left, on the second day 1 6 was transported, and 7 12 remained

There is a total of 84 divided by 7 12 = 144 (tons).

On the first day, 1 4, on the second day, 1 4 * 2 3 = 1 6, a total of 1 4 + 1 6 = 5 12 in two days, and the remaining 1 5 12 = 7 12 was not transported, so this pile of cement is 84 (7 12) = 144 tons.

Solution: Let's say there are x tons of cement.

x-4|1x-3|2x4|1x=84

12|7x=84

x=144A: This ton of cement has 144 tons.

The rest is 7 12, so the total is 144 tons.

84 divided by (1 minus a quarter and then a quarter multiplied by two-thirds) equals 144

1. Replace the fractions with numbers based on 120, that is, the general score, you will find that there are three numbers whose numerators are not integer multiples of 10, and these three numbers should be one line, so the result is:

2. Because it is the same paper, only 5 pieces of paper were recovered, that is, 10 sides, and 36 sides were not found.

3. Because it is a primary school question, it is calculated in a simple way: A walked 28 kilometers in two hours, and when he met B, B walked 22 kilometers, and B's speed was 22 2 = 11 kilometers per hour.

A decelerates by 20%, that is, the speed is 14*80%=

B accelerates by 20%, that is, the speed is 11*120%=

22 hours.

28 hours;

So A arrives at his destination first.

4. Let the number ten digits be a and the single digit be b, then this number is 10a+b;

By the topic, get.

10b+a）/（10a+b）=4/7

This gives b=2a

So this number can be , a total of 4.

5. According to the question, before adding 6 grams of zinc, the weight of the alloy is 36-6=30 grams.

According to the mass ratio, the original copper is calculated to be 12 grams; 18 grams of zinc, 18 + 6 = 24 grams after addition.

That is, the new mass ratio is 1:2.

6. Pants and shirts have the same price, that is, 10% of the price is also the same, both are nine corners. Sell one piece each, no loss, no profit.

Modification: I feel that there is still a problem with your first question, and it is impossible to meet the five squares that are all 1, and only four can be satisfied. Let's see what other people have to say

True Ya Le.

Hello: After taking out two baskets of 1 7, there is left:

63 (1 1 7) 54 (kg) is more than it actually is:

54 51 3 (kg) B basket originally had:

Question 1. Split (one times two) into one minus one-half, (two times three) into one-half minus one-third, and so on, and the middle one cancels it all out. The result is up to you.

1) Let this barrel of oil x, and the equation is x-20%x-(20%x+5)=7, and the solution is x=20

20*2) Let basket A be x, then basket B is 84-x, and the column equation gives (1-20%) x+2=(84-x)+20%x-2

Solution x=50

3) Let a band x, then b band 54-x, and the column equation gives (1-75%)x=(1-80%)(54-x).

The solution is x=24

4) Let the full length be x, and the column equation is x-(20%x+60)-(25%x-40)=310, and the solution is x=600

Question 2: 18 sheets.

Question 3 B starts at a velocity of (50-14*2) 2=11 and A has a velocity of 14-14* after the encounter

B's velocity is 11+11*

Then the time it takes B to travel from the point of meeting to the destination is 28 >2 A 22

So A comes first.

Question 4: 10a+b=4 7(10b+a) Derive 66a=33b, i.e. 2a=b

So 12 24 36 48 Four Fifth Questions Copper in the new metal 2 5*(36-6)=12g Zinc is 6+3 5(36-6)=:24

So the copper-zinc ratio is 12:24=1 2

Question 6 The money lost is 9 * gross and the money earned is 9 * gross capital protection.

Finished. It looks like I'm going to have to go back to sixth grade again. It's a headache to watch.

The figure is symmetrical, take its 1 8 observation: a quarter circle with a radius of 2 cm Remove the isosceles right triangle with a right angle side of 2 cm.

Total area of shaded portions = 8 (1 4 2 2 - 1 2 2 2) = 8( -2).

The area of the shaded part of the figure is.

1 = 1 n-1 n+1, 1-1 (1+2) = 1 (1+2), so the first question 1-1 51 = 50 51;

A total of 7 eggs, because the last person to buy half of the box of free half of the box, which means that there is only 1 whole box of eggs left, assuming that the remaining number of eggs after the first sale is x, then the second remaining number is, that is, it is equal to 1, then x is equal to 3, the same reason for the total number of eggs is 7, in fact, after a simple calculation, you can calculate the total number of eggs for the nth power of 2 -1, n is the number of times to buy eggs.

1. Let p and q be two numbers, stipulate: p q=3 p-(p+q) 2, find 7 (2 4). 16

2. If 1*5=1+11+111+1111+11111,2*4=2+22+222+2222,3*3=3+33+333,......Then 4*3=4+44+444; 105*2=105+1155 。

3. x, y is a natural number, it is specified that x*y=4x-3y, if 5*a=8, then what is a? 4

4. Let a*b=5a-3b, known x*(3*2)=18, find.

5. Let a*b=4a-b, find (5*4)*(10*6). 2

6. Let x and y be two numbers, stipulate: x*y=x y-y x, find 18*3-1 and 1 2

7. Stipulate a*3=a+(a+1)+(a+2), then x*5=45, find.

8. Xiaofang finished reading a book in three days, read 1 3 of the whole book on the first day, read the remaining 3 4 on the second day, and read 20 more pages on the second day than on the first day, how many pages are there in this book? 120

9. Transporting a pile of cement, 1 4 of this pile of cement was transported on the first day, and 2 3 of the first day was transported on the second day, and there are 84 tons left unshipped, how many tons of cement is there in this pile? 144

10. The road repair team repaired a road, 2 5 of the road was repaired on the first day, and the remaining 1 3 was repaired on the second day, and it is known that the road was repaired for a total of 120 meters in these two days, how many meters is the total length of this road? 200

There were 38 people in the class, and a total of 8 boats were rented, and each boat was full. 6 people on a large boat and 4 people on a small boat. How many boats are rented? Answer: 3 large boats and 5 small boats. Finding the best !!

A accounts for one-half of the total number of B, C and D, then A accounts for 1 3 of the total;

B accounts for one-third of the total number of A, C and D, then B accounts for 1 4 of the total;

C accounts for a quarter of the total number of A, B, and D, and B accounts for 1 5 of the total (don't say that you don't understand the above process).

If the total number of four people is "1", then the total number of four people is:

Draw a circle, which is equivalent to the total number of A, B, C, and D, and draw how much A, B, C, and D account for the total. A accounts for 1 3 of the total, B accounts for 1 4 of the total, C accounts for 1 5 of the total, then D accounts for 1-1 3-1 4-1 5 = 13 60

13 60 of the total is 390 volumes, then the total = 390 (13 60) = 1800 volumes.

1: There are a total of 250 books on the two bookshelves of A and B, if you take two-sevenths of the books from the bookshelves of A and put them into the bookshelf B, then there are the same number of books in the two bookshelves, how many books are there in the two bookshelves of A and B?

2: There were 48 students in the first class of the sixth grade, of which 5/12 were girls. Later, a few more girls were transferred, and at this time girls made up six-thirteenths of the class, and a few girls were transferred from the sixth grade class.

Answer: 1Set up a bookshelf with x books and B bookshelves with y copies x+y=250 (5 7)=(2 7+y) 2: The original 20 girls set up x girls 20+x=6 13 (48+x).

Math puzzle 12, 5, 7, and 11 are all prime numbers, and if you multiply three of them and subtract the fourth number, you will get a number that has a total of prime numbers. 2.

Jia Cong, Xiao Ming, and Jia Li paid the same amount of money to buy a number of pencils of the same kind, Jia Cong and Xiao Ming both took 6 more than Jia Li, and they each gave Jia Li 28 yuan, so the price of each pencil was yuan. 3.There are 50 $3 stamps and 30 $5 stamps, which can be used to form different types of postage.

4.The average score of the top 4 students was 92 points, and the average score of the bottom 6 students was 8 points less than the average score of the 10 students. 5.

The ticket price of an amusement park is 60 yuan each, more than 100 people can buy a group ticket of 40 yuan each, the ratio of the number of two teams is 3:5, and the two teams buy tickets separately and spend 1440 yuan more than the combined tickets, then the two teams have a total of people. 6.

The currency of a certain country is very special, there are 4 yuan and 7 yuan coins, and if someone has enough 7 yuan coins, he wants to go to different stores to buy 80 yuan, 90 yuan, 100 yuan, 120 yuan, 180 yuan goods, and hope that he does not need to make change, then he must prepare at least 4 yuan coins. 7.As shown in the figure on the right, two isosceles right triangles are stacked on top of each other, AF is 3 long, AC is 12 long, and DE is 8 long, and the area of the overlapping part (shaded part) pentagonal aghid is .

8.There are 7 pairs of white gloves, 8 pairs of ** sets, and 9 pairs of red gloves in one bag. A child takes gloves from a bag in the dark, one at a time, but can't see the color, in order to make sure he can touch at least 6 pairs of gloves (gloves are not divided into left and right hands, any two can be a pair).