1. The diameter of the circle is a straight line. ................................................................. (right)
2. Cast a cylindrical lead block into a cone, and its volume is constant. ............................................. (right)
3. In an acute triangle, if one angle is 30 degrees, the other two angles can be 55 degrees and 95 degrees. ..................................................................................................................................................................................
4. The ratio of the bottom areas of two cylinders with the same height is 3︰2, so their volume ratio is 3︰2. ..... (right)
5. The rectangle takes one side as the axis, and the rotating body obtained by one rotation is a cylinder. ...................... (right)
Three. Choice (4 points)
1. On the ground of 1 m2, if you stand by the river, you can stand about (c) people.
a、30 B、3 C、 10 D、 100
2. Only one set of equal quadrilateral in two groups of opposite sides is (C).
A, square b, rectangle c, trapezoid d, parallelogram
3. A rectangle is 5 cm long and 3 cm wide, which indicates (a) what score?
A, length is greater than width b, width is greater than length c, width is less than length d, and length is less than width.
4. The bottoms and heights of the cylinder and the cone are equal, and the sum of their volumes is 48 cubic decimeters, and the volumes of the cylinder and the cone are (b) cubic decimeters respectively.
a、24、24 B、36、 12 C、 12、36
Four, measurement, filling, calculation, drawing (10)
1. Measure the length and width of this test paper () cm. (Keep the whole centimeter)
2. What is the circumference of this test paper?
3. Draw the plan of this test paper with the scale of 1 10.
Verb (abbreviation of verb) calculation (17 points)
1. Write the number directly. (5 points)
74×99= 7326 100-298= - 198 25×36=900
= 12×( )=
2. Off-mold calculation. (6 points)
0.6+32×0.25-6 ÷[( + )× ]
=0.6+8-6=8.6-6=2.6
3. Column calculation. (6 points)
(1) 180 is more than 50% of 10. What's this number?
( 180- 10)/0.5=340
(2) What is the product of quotient divided by 0.375 plus 1. 1?
Six, mathematics in life (38 points)
1. Our city plans to plant about 840,000 trees this year, and 490,000 trees were planted in the first 35 days. According to this calculation, how many days will it take to complete all the tasks? (Use proportional solution)
The solution of 35/84=49/x is 1 18.
There were 6,000 primary school graduates in our city last year, which is more than last year. How many primary school graduates are there in our city this year?
?
The bookstore has a set of popular science books in 96 yuan at the original price, which are now sold at a 60% discount. How much cheaper can I buy a set? If you buy six sets, will 360 yuan be enough?
96*( 1-0.6)=38.4 is enough, and six sets cost 345.6.
A cylindrical glassware with a bottom radius of 6 cm contains some water, and a conical plumb hammer with a height of 9 cm is immersed in the water. When the plumb hammer was taken out of the water, the water level dropped by 0.5 cm. How many square centimeters is the bottom area of this conical plumb hammer?
5. A rectangular piece of iron sheet, 25 cm long and 15 cm wide, was cut from four corners and bent four times to make an iron box without a cover. Please help me calculate: how much iron does it take to make such a box? What is the volume of this iron box?