Current location - Training Enrollment Network - Mathematics courses - Who has the answers to the third "Learning Cup" and the 2005 Primary Mathematics Olympic Final?
Who has the answers to the third "Learning Cup" and the 2005 Primary Mathematics Olympic Final?
2007 Primary School Mathematics Olympic Final

I. Fill in the blanks (20 points)

1 and 10g sugar are dissolved in 10g water, and the ratio of sugar to syrup is ().

2. Eighty percent =( )%=( )÷40=

3. The perimeter of the rectangle is fixed, and the aspect ratio is ().

4. A batch of 500 products, 4 unqualified, the qualified rate is ().

5. Girls in one class account for ()% of boys.

6. The radius and bottom height of a straight cylinder are 2m, the surface area is () and the volume is ().

7. In the proportion, the known external terms are 10 and 9, so the product of two internal terms is (), which is based on ().

8. Cubes and cylinders have the same volume and the same height. It is known that the side length of a cube is 3 cm, and the bottom area of this cylinder is () square meters.

9. The volume of a cone is 1.4 cubic meters, the bottom area is 2.8 square meters, and the height is () meters.

10, cut a cylinder into a cone with the same base and height, and the volume of the cut part is () times that of the cone.

1 1, the cultivated land area of a village is 5: 2: 1 kind of grain, cotton and oil, and oilseeds account for ()% of the total area.

12. The commonly used statistical charts are (), () and (), among which the bar chart is easier ().

13, the area of the circle is proportional to the radius ().

Second, judge right or wrong. (5 points)

1, the dividend is fixed and the quotient is inversely proportional to the divisor. ( )

2. The volume of the cone is equal to the volume of the cylinder. ( )

3. To buy the same book, A uses the money he brought, B uses the money he brought, and A brings less money than B .. ()

4. Enlarge the surface of the cylinder and you will get a rectangle. ( )

5. A number: B number = 5: 6, then A number must be less than B number. ( )

Choose (fill in the serial number of the correct answer in the brackets after the question. 5 points)

1. On the map with the scale of 1: 4000000, 3cm means the actual distance is ().

①1200km ②120km ③12km.

2. It is known that 2a=3b, and the correct one in the following proportional formula is ().

①a:b=2:3 ② = ③b:a=3:2 ④ =

3. A semicircle with a radius of r and a circumference of ().

① r+r ② r ③ r+2r

4, said the number of changes, generally use () statistical chart is better.

① Strip ② Broken line ③ Fan shape

5. A cylinder with equal bottom and equal height is 8 cubic decimeters larger than a cone. This cone is ().

①4 cubic decimeter ②8 cubic decimeter ③ 12 cubic decimeter

Four: the solution ratio (8 points)

0.8:x=8: : =x:

:x= : 10 10: =4.5:x

Verb (abbreviation of verb) calculation (23 points)

1, write grades directly (5 points)

200×0.2%= - = 1.25×80= ×8=

0.6+ 1.44= ÷ = 125×9×8= + 1.25=

36×( + + )= 0. 1+0.8÷0.8+0.9=

2. Calculation: (It can be calculated by a simple method) (18 points)

-3.84-0. 16 13.7 1+ +9.29+5.25

÷[ ÷( -2.7)] ÷(2.6- ÷0.5)

1+[( +0.65)-3. 15× ] [ ×( - 1. 15)+7.8]÷

Six, column calculation (9 points)

1, the number a is 25, and the number b is exactly equal to the number a after subtracting its own 20%, so find the number B.

2. A number plus 4 times of 2.4 is equal to half of 36. Find this number.

3. What is the quotient of the difference with 0.75 divided by their product?

Seven, application questions: (30 points)

1, Wang Lin got 89 points in Chinese and 94 points in math. How many points does it take to get 93 points in the science exam?

2. Make a cylindrical oil drum with a cover with iron sheet, with a height of 6 decimeters and a bottom diameter of 4 decimeters. How much iron does it take to make this oil drum? If 90% of the volume of this oil drum is gasoline, how much gasoline can it hold?

3. Daxing Nongxian Factory produces a batch of farm tools. It was originally planned to produce 75 farm tools every day, and the task could be completed in 40 days. It will take 25 days to finish now. How many farm tools should be produced every day? (Use proportional solution)

4. A garment factory planned to produce 18000 garments a year, but actually produced 3200 garments in the first two months. According to this calculation, how many garments are actually produced this year?

5. The inner diameter of the drainage pipe is 6 decimeters, and the flow rate of water in the pipe is 10 decimeter per second. How many cubic meters of water does the water pipe outlet discharge in one minute?

6. Li Lin deposited RMB 65,438+0,000 in the bank on February 65,438+00 of the year before last, with a fixed term of 3 years. If the annual interest rate is calculated at 5.94%, and it will expire at 65,438+00 in February next year, how much interest will he get? How much interest does he get after deducting 20% interest tax? (Note: Interest tax is only deducted from interest)

You have to do it yourself! ! !

Work hard! I support you in spirit! !

Work hard! ! Come to the first place to show artists! ! !