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Mathematical problems in the sixth grade of primary school
1 Class and Class 6 (1) The ratio of boys to girls is 3: 2. In the math unit exam, the average score of boys is 86 and that of girls is 89. What is the average score of Class Six (1) in this exam?

Think of the proportion of people as an actual number.

Namely: 3 men and 2 women.

In fact, the proportion of people is also simplified from the actual number of people.

Average score: (86×3+89×2)÷(2+3)

2. Party A, Party B and Party C * * 185 yuan. The ratio of money between Party A and Party B is 3: 4, and Party A is less than Party C by 5 yuan. How much does Party A have?

A is less than C. 5 yuan, A, B and C have 185 yuan.

If you subtract 5 yuan from C, A and C are the same.

Namely: A: B: C =3:4:3.

Of course, 5 yuan has to be subtracted from the total.

That is to say, Party A, Party B and Party C have 180 yuan, and the ratio of money among Party A, Party B and Party C is 3:4:3.

Find a 180 ÷ (3+4+3) × 3.

B 180 ÷ (3+4+3) × 4

C 180 ÷ (3+4+3) × 3+5

3. The sum of the reciprocal of two natural numbers is 7/ 12. These two natural numbers are () and ().

The reciprocal of a natural number is a true fraction in the form of1/x.

Then 1/X+ 1/Y=X+Y/XY.

That is, the denominator is the product of two natural numbers and the numerator is the sum of two natural numbers.

Only 1/3 1/4.

Answer 3 4

The circumference of an isosceles triangle is 45 cm, and the length of one side accounts for 2/9 of the circumference. How long are the three sides of this triangle?

The length of one side accounts for 2/9 of the circumference.

But this side may be the waist

There are 2/9: 2/9: 5/9

But 2/9+2/9 ≯ 5/9

That is, the sum of the two sides is not as much as the third side.

inconformity

Is it 2/9? :?

? =7/9÷2=7/ 18

The trilateral ratio is 2/9 :7/ 18:7/ 18.

That is 4 :7: 7.

Waist circumference 45 \u( 4+7+7)×7

Cardinality 45 ÷ (4+7+7) × 5

5. Three piles of coal A, B and C weigh 960 tons, two piles of coal A and B account for 5/8 of the total, and two piles of coal A and C account for 9/ 16 of the total. How many tons of coal are there in pile A?

Piles A and B account for 5/8 of the total, while piles A and C account for 9/ 16 of the total.

The sum of 5/8+9/ 16 is also a+b+a+C.

(5/8+9/ 16)- 1 to get one.

960×(5/8+9/ 16)- 1

Six, two bookshelves, the ratio of the number of books lent by Bookshelf A to the rest is 1: 3, and the ratio of the number of books lent by Bookshelf B to the rest is 2: 3. As we all know, two bookshelves borrow as many books. What is the ratio of books stored in two bookshelves?

The ratio of the number of books lent by a bookshelf to the rest is 1: 3.

The ratio of the number of books borrowed from the second shelf to the rest is 2: 3.

These two ratios are the ratio of the lent amount to the remaining amount.

Change and unification

The ratio of the number of books lent by a bookshelf to the rest is 1: 3.

That is 1: 3 = 2: 6.

The ratio of the number of books borrowed from the second shelf to the rest is 2: 3.

In this way, the number of books lent by bookshelves A and B is two.

It turns out that the ratio of books stored in two bookshelves is (2+6): (2+3).

Uncle Wang is going to form a rectangular chicken farm with walls and fences. It is known that the fence is 56 meters long and the length-width ratio of rectangular chicken farm is 3: 2. What is the largest area of this chicken farm?

The aspect ratio is 3: 2. As we all know, the maximum area of a wall can only be long.

The fence is 56 meters long, minute by minute, wide and wide.

And length: width: width =3:2:2.

Length 56(3+2+2)×3

Width 56(3+2+2)×2

The calculation part does the calculation by itself.