Name:
Fill in the blanks. (3 points for each question, ***30 points)
1. The highest digit of nine digits is the smallest prime number, and the lowest composite number is millions of digits. All the numbers are 9, and the rest are 0. This number is rewritten as a number in hundreds of millions (), and the mantissa after omitting ten thousand digits is ().
2. In A ÷ B = 53, expand A and B at the same time 10 times, the quotient is () and the remainder is ().
3. A glass of salt water contains 10%, so the simplest integer ratio of water to salt is ().
4. What a factory originally planned to finish in 9 hours was completed in 8 hours, and their work efficiency was improved by ()%.
It took 10 minutes to cut a piece of wood into 5 pieces. According to this calculation, it will take () minutes to cut it into 10 segments.
6. In a deck of playing cards (excluding the king of size), at least () cards can be taken to ensure that two of them are of the same suit.
7. Among the 50 students, 35 like playing basketball, 25 like playing table tennis, 4 don't like playing both, but () likes both.
8. A cylindrical reservoir, measured from the inside, with a bottom diameter of 6m and a height of 30m. The reservoir has 2.5 meters of water, and the reservoir has () cubic meters of water.
9. A rectangular wooden board is 24 decimeters long, with an aspect ratio of 3:2. Cut the largest circle on this board, and the area of this circle is () square decimeter.
10, viewed from the front and left, is a three-dimensional figure, as shown on the right. To create such a three-dimensional figure, use at most () small cubes.
Two. Judgment (tick "√" correctly and "×" incorrectly) ×”)( 10/0)
1, there are nine cards on the table with the numbers 1-9 written on them. It's fair to touch the odd gang to win and the even gang to win. ( )
2. Two line segments with lengths of 5 cm and 10 cm can form an isosceles triangle. ( )
3. According to the laws of 1, 8, 27, (), 125, 2 16, the number in brackets should be 64. ()
Xiaoming's home is 30 northeast of the school, and the school is 30 southwest of Xiaoming's home. ( )
5. Two-digit numbers. The number on the tenth digit is 7, and the number on the second digit is A. The expression of this two-digit number is 7a. ( )
Third, choose the serial number of the correct answer and fill it in brackets. (2.5 points each, *** 15 points. )
1. Xiaohua is playing with a rectangular wooden frame in the sun. She can't see the shadow formed by the rectangular wooden frame on the ground as shown below ().
2. The National Day in 2008 is Wednesday, and the National Day in 2009 is Monday ().
a，B，C，D，v。
3. The minute hand walks half a circle on the clock face, and the angle of clockwise rotation is ().
A, 90 degrees b, 60 degrees c, 30 degrees d, 15 degrees.
4. The height of the cone is reduced by 3 times, the radius of the bottom surface is expanded by 3 times, and the volume of the cone is ()
A, constant B, 3 times larger C, 3 times smaller D, uncertain
5. Draw a floor plan of a classroom 8 meters long and 6 meters wide. The area occupied on the plan is ().
a，3cm2 b， 12cm2 c，48cm2
6. In a math exam, the scores of five students from small to large were 76, 82, 86, A and 92 respectively, and their average score might be ().
a、82 B、85 C、86 D、88
Fourth, calculation. (16)
1, a number written directly. (4 points)
0.25÷0.0 1= 8× 17× 125=
999+99+9= 1.2×0.3÷ 1.2×0.3=
2, calculation (can be simplified to reflect the simple calculation process)
( 1)2007× (2)(0.25-0. 1÷2)÷ ÷
(3)4. 13÷4.87(4) Given 0.5:, find x.
5. As shown below, there are two squares with side lengths of 16 decimeter and 24 decimeter respectively. How many square decimetres is the area of shaded part A more than that of shaded part B?
Sixth, solve the problem. (6 points for each question, ***24 points)
1. It takes 10 days for Party A to complete a project alone, 15 days for Party B and 20 days for Party C to complete it alone. After three days of cooperation, Party A has other tasks and quits, leaving Party B and Party C to continue their work until it is completed. How many days will it take to complete this project?
There used to be 325 male and female students in Starlight School. In the new semester, the number of girls increased by 25, while the number of boys decreased by 5%, and the total number increased by 15. So how many girls are there now?
Aunt Zhang sends fruit to the children in two classes in kindergarten. The big class got 5 oranges and 2 apples, and the small class got 3 oranges and 2 apples. Aunt Zhang sent 135 oranges and 70 apples, so how many children are there in the small class?
4. Party A and Party B run on the 400-meter circular track and run in the same place in opposite directions at the same time. The interval between their first meeting and their second meeting is 40 seconds. It is known that Party A runs 2 meters more than Party B per second. How many meters does Party B run per second?