Typical mathematical application problems in the sixth grade of primary school

Lead: The sixth grade of primary school is an important year. In addition to listening carefully in class, do exercises in time after class to consolidate! The following is a typical math application problem I prepared for you in the sixth grade of primary school. I hope it helps you!

Proportional application problems in the sixth grade of primary school

1. The circumference of a rectangle is 24 cm, and the length-width ratio is 2: 1. How many square centimeters is the area of this rectangle?

2. The sum of sides of a cuboid is 96 cm, and the ratio of length, width and height is 3∶2 ∶ 1. What is the volume of this cuboid?

3. The total length of a cuboid is 96 cm, the height is 4 cm, and the length-width ratio is 3 ∶2. What is the volume of this cuboid?

4. There are 42 computer interest groups in a school, of which the ratio of male to female is 4 ∶3. How many boys are there?

There are two baskets of fruit, and the fruit in basket A weighs 32kg. After taking out 20% from basket B, the weight ratio of the two baskets of fruits is 4:3. How many kilograms were there in the original two baskets of fruit?

6. Make a 600g bean paste bun, and the ratio of flour, red beans and sugar is 3:2: 1. How many grams of flour, red beans and sugar do you need?

7. Xiaoming read a story book. On the first day, he read 1/9 of the book, and the next day, he read 24 pages. The ratio of pages read in two days to remaining pages is 1: 4. How many pages are there in this book?

8. The ratio of the three internal angles of a triangle is 2:3:4. What are the degrees of these three internal angles?

The answer is as follows:

1，s =(2/3×24/2)×( 1/3×24/2)= 32 cm2。

2. V = (3/6× 96/4 )× (2/6× 96/4 )× (1/6× 96/4) = 384 cubic centimeters.

3. V = 4× [3/5× (96/4-4) ]× [2/5× (96/4-4)] = 384 cubic centimeters.

4. Male =4/7×42=24 (person)

5,32+32× 3/4 ÷ 80% = 62 (kg)

6. Flour = 300g? Red beans =200 grams? Sugar =100g

7,24 ÷ (1/5-1/9) = 45× 6 = 270 pages

8、 180×2/9=40 ? Answer: 40, 60, 80.

Percentage application problem of sixth grade in primary school

1. The output value of a chemical fertilizer plant increased by 20% this year, 5 million yuan more than last year. How much is this year worth?

2. The fruit company stores a batch of apples, and after selling 30% of these apples, it delivers 160 boxes, which is more than the original stored apples110. How many boxes of apples are there?

3, a commodity, the original price is 20% less than the current price, the current price 1028 yuan, what is the original price?

The interest earned from the education savings is tax-free. Dad saved Xiao Xiao's education savings for three years, with an annual interest rate of 5.40%. Upon maturity, * * * received the principal and interest of 22,646 yuan. What is the principal of the education savings fund that Dad gave Xiao Xiaocun?

5. The clothing store bought two clothes at the same time, each of which earned 120 yuan, but one of them earned 20% and the other accompanied 20%. Did the two clothes sold by the clothing store make money or lose money?

6. The father is 43 years old and the daughter is 1 1 year old. A few years ago, my daughter was 20% older than my father.

7, less than 2/5 tons, 20% for () tons, () tons of 30% for 60 tons.

8, a 200-page book, read 20%, and left () pages unread. 40% of the number A is equal to 50% of the number B. The number A is 120 and the number B is ().

9. A factory used 5400 tons of water in the second half of April, saving 20% compared with the first half. How many tons of water were used in the first half of the year?

10. Zhang Ping has money from 500 yuan and plans to deposit it in the bank for two years. There are two deposit methods. One is to save it for two years, with an annual interest rate of 2.43%. One is to save it for one year with an annual interest rate of 2.25%. When the first year expires, take out the principal and after-tax interest and deposit it for another year. Which method can I choose to get more after-tax interest?

1 1. Xiaoli's mother deposited 5,000 yuan in the bank for a year, with an annual interest rate of 2.25%. When withdrawing money, the bank withheld and remitted 20% interest tax. How much interest tax was paid at maturity?

12. The flour yield of wheat is 85%. Grinding 13.6 tons of flour requires _ _ _ _ tons of such wheat.

The answer is as follows:

1, 500÷20%+500=3000 (ten thousand yuan)

2.160 ÷ (1.1-0.7) ×1.1= 440 (box)

3. 1028×0.8=822.4 (yuan) a: the original price is 822.4 yuan.

4, 22646 ÷ (1+5.4%) 3 ≈19340.6 (yuan)

22646 ÷ (1+5.4% × 3) ≈19488.8 (yuan)

5.120 ÷1.2+120 ÷ 0.8 = 250 yuan > 240 yuan A: It is a loss.

6.11-(43-11) ÷ 4 = 3 (years) A: Three years ago.

7, 0. 16 tons, 200 tons

8 160 Page 96

9.5400÷80%=6750 (ton)

10,500+500× 2.43 %× 2 = 524.3 (yuan)

500×( 1+2.25%)2≈522.75 (yuan) A: direct deposit for more than 2 years.

1 1, 5000×2.25%×20%=22.5 (yuan)

12, 13.6÷85%= 16 (ton)

The application problem of the sixth grade circle in primary school

1. Draw a circle with a perimeter of 12.56 cm, mark the center and radius with letters, and then calculate the area of the circle.

There is a circular lawn in the school. Its diameter is 30 meters. What is the area of this lawn? If you put a pot of chrysanthemums every 1.57 meters around the lawn, how many pots of chrysanthemums should you prepare?

3. The radius of a circle and a sector is equal, the area of the circle is 30 square centimeters, and the central angle of the sector is 36 degrees. Find the area of the sector.

In the distance of 720 meters, the front wheel turns 40 times more than the rear wheel. The circumference of the rear wheel is 2m, so find the circumference of the front wheel.

5. The diameter of the circular flower bed is 10 cm, and there are 2-meter-wide paths around it. What is the area of this path?

6. The school has a circular open space with a diameter of 40 meters. It is planned to build an annular flower bed in the center, and the rest will be paved with 6m wide cement pavement. What is the area of cement pavement?

7. There is a ring. The circumference of the inner circle is 3 1.4 cm, the circumference of the outer circle is 62.8 cm, and what is the width of the ring?

8. The minute hand of the wall clock is 20 cm long. After 45 minutes, how far did the tip of this minute hand move?

9. The hour hand of a big clock is 0.3 meters long. How many meters has the tip of this hour hand traveled in 1 day? How many square meters is the sweeping area?

The answer is as follows:

1、2πR= 12.56

R = 2 cm

S=πR2= 12.56 (square centimeter)

2. s = π×152 = 225 π×15 ÷1.57 = 60 pots.

A: The lawn area is 225π (square meters), and 60 potted flowers should be prepared.

3. 30×110 = 3 (square centimeter)

4,720 (720 ÷ 2+40) =1.8 (m)

5、S =π×2. 12-π×0. 12 = 4.4π(m2)

6、π×202-π×(20-6)2=204π(m2)

7. 62.8/2π-3 1.4/2π=5 (cm)

8, 3/4×π 2×20=30π (cm)