Dear students, congratulations on your completion of math study in primary school. Now it's time to show your achievements. Please answer your questions carefully and give full play to them. I believe you are the best!
1. Fill in the blanks: (30 points)
The decimal unit of 1 and 138 is (), and the sum of these decimal units () is the smallest composite number.
2. The sum of the edges of a cuboid is 36dm, and the ratio of length, width and height is 5∶2∶2. The surface area of this cuboid is () and the volume is ().
3、( )∶ 16= 10( ) =0.25=( )÷32=( )%。
4. After cutting a cylindrical steel with the length of 1m into three sections, the surface area increased by 6.28dm? The volume of this steel is ().
5. The bottom areas of cylinder and cone are equal, the height ratio is 4∶3, and the volume ratio is () ∶ 1.5%.
6. The three sides of a right triangle are 6 cm, 8 cm and 10 cm respectively, and the height of the longest side of this triangle is () cm.
9, 2 hours and 35 minutes = () hours; 3.8m？ =( )m？ ()dm？ .
10, one knife can cut a plane into 2 pieces at most, two knives can cut it into 4 pieces at most, and those three knives can cut it into () pieces at most; 8 knives can be cut into () pieces at most;
1 1, a story book has 120 pages. I read the whole book 14 on the first day, and there are () pages left. I should start reading from () pages the next day.
2. Judgment: (10)
1. It takes 3 hours for Party B to complete a job alone, 5 hours for Party A, and the efficiency ratio between Party A and Party B is 5: 3. ( )
There are 5% more boys than girls, and girls are definitely 5% less than boys. ( )
3. The shaded part in the left figure is expressed as 14 by a fraction. ( )
4. The radius of the circle is enlarged by 5 times, the circumference is enlarged by 5 times and the area is enlarged by 10 times. ( )
5. On the number axis, the number on the right must be smaller than the number on the left. ( )
Iii. Choice: (10)
1, the price of a commodity rose by 20% at first, then fell by 20%, and the result was compared with the original price ().
A, constant B, down 40% C, up 4% D, down 4%.
2. In the next few years, () is a leap year.
1900b，20 10c，2000
3. 14 < () < 13, with () qualified scores.
A, 0 B, 1 C, countless
4. Give the book 140 to two classes according to a certain score, and the appropriate proportion is ().
a、4∶5 B、3∶4 C、5∶6
5. Put 10g of drug into 10g of water, and the ratio of drug to water is ().
a、 1∶9 B、 1∶ 10 C、 1∶ 1 1
Four. Calculation: (12 points)
1, what can be simplified should be simplified.
3.2× 1.25×0.25 5.8×[ 1÷(2. 1-2.09)] 3 150 × 10 1- 3 150
42÷( 12 +23 ) 34 ×78 + 18 ×75% (78 -5 16 )×(59 +23 )
Verb (abbreviation of verb) hands-on operation: (3 points)
1, ① Draw the largest square in the circle below.
② If the diameter of a circle is 6cm, then the area of this square is () cm? .
2. Divide the triangle above into five equal parts.
Six, according to the requirements: (6 points)
As shown in the figure, the area of the square is 18dm? Find the area of a circle.
Seven, solve the problem: (29 points)
1, only the column type is not counted: (4 points)
(1) A birthday cake, each piece cut into 5 equal parts weighs 80 grams more than each piece cut into 8 equal parts. How much does this birthday cake weigh?
(2) The annual interest rate of half-year bank deposits is 0.24%. If you deposit 1200 yuan in the bank according to the half-year savings, how much after-tax interest can you get after maturity?
2. For a batch of parts, it takes 15 hours for Party A to do it alone, 25 parts for Party B in one hour, and it takes 6 hours for two people to do it together. How many parts are there in this batch?
3. The road repair team has built a road, and the ratio of repaired and not repaired is 1∶3. After another 300 meters, the repaired road accounts for 12 of this road. How long is this road?
4. A conical sand pile, with a bottom circumference of 3 1.4m and a height of1.5m. How many meters can this pile of sand be paved on a road with a length of 125m and a thickness of 10cm?
There is a batch of goods in the warehouse. Shipment on the first day 15, shipment on the second day is 8 tons more than that on the first day, leaving 1425 of the total weight of this batch of goods. How many tons are there in this shipment?
6. Party A, Party B and Party C run around the lake for exercise. At the same time, they set out from a fixed point by the lake. B and C are in the same direction, and A and B are in the opposite direction. They met Party C for the first time 1.25 minutes after Party A first met Party B, and they met Party B for the second time after 3.75 minutes. It is known that the ratio of speed a to speed b is 3∶2, and the circumference of the lake is 2000 meters. What are the speeds of A, B and C in meters per minute?
Conclusion: Congratulations, you have finished, but don't forget to check. It would be a pity if you lose points because you are not careful enough. I hope you won't regret it in the future. Finally, try to rate yourself, rate yourself _ _ _ _ _.