Class name score
I. Fill in the blanks: 27%
1. natural number n The adjacent numbers are () and () respectively.
2. In 0.26, -3, 0, 6, 5.2,-1.7, what is neither correct nor irresponsible is (). The natural number is (). The negative decimal is ().
3. A cuboid has () vertices, () sides and () faces. Generally speaking, the areas of () planes are equal.
4. The sum of three consecutive natural numbers is 45, namely (), () and ().
5. The side length of a cube is 8 decimeters, the sum of the side lengths is (), the surface area is (), and the volume is ().
6. Fill in "∩" or "∩" in ().
-0.5( )-0.05 +3( )3 + 1 ( )-8
8. Write down the position of the school gate as 0, and the east is positive. If the position of Xiaoya is+300m, it means that Xiaoya has already driven () meters to reach ().
9. The point representing -4 on the number axis is located on the () side of the origin and is () unit lengths away from the origin.
10. Put three cubes with a side length of 4 cm into a cuboid, the surface area will be reduced by () square centimeters, and its volume will be () cubic centimeters.
Judge whether it is true or not (mark "√" for the right and "×" for the wrong). (6%)
(1). There is a house 5 meters high on the hill. We say the height of this house is 5 meters. ( )
(2) On the number axis, the number corresponding to the left point is always smaller than that corresponding to the right point. ( )
(3) When the side length of the cube is expanded by 3 times, the volume will be expanded by 9 times. ( )
(4) The surface area of a cube with a length of 5cm is larger than its volume. ( )
(5) Numbers greater than-1 must be positive numbers. ( )
(6) After two identical cubes are put together to form a cuboid, the volume and surface area remain unchanged. ( )
Three, multiple choice questions (fill in the serial number of the correct answer in brackets) (4%)
(1). After sawing a 2-meter-long cuboid wood into two sections, the surface area increased by 100 cm2, and its volume was ().
A.200 cubic centimeters B. 10000 cubic centimeters c.2 cubic decimeters
(2), a cuboid is divided into several small cuboids, volume ().
A. No change B. Bigger than before C. Smaller than before
IV. Calculation (simple calculation) 24%
6.7+ 19.34+3.3+0.66 2.5×7.83×0.4
4.05× 10 1 6.27× 1.5-6.27
( 1-0.8)×(4-3.68)÷0.0 1 [0. 15+(3.74- 1.8)÷0.4]×20
[5.7÷(0.09+0. 1)+2.4]÷0.54 0.35×[ 1÷(2.7-2.66)+0.65]
V. Solution of the equation to be measured: 12%
3.4x+ 1.28 = 2.3 3x+ 12x = 18
*3 ( 5x -4 )= 45 *3x+24=5x- 12
Six, column equation and find the solution of equation 6%
1.6.7 Subtract a number three times, and the difference is 2.5. Find a number.
4 times of a number and 3 are exactly 6 times of this number. How did you find this number?
Eight. Application: 2 1%
1, Xiaopang and Xiaoqiao have 232 stamps. Xiao Pang has three times as many stamps as Xiao Qiao. How many stamps do Xiao Pang and Xiao Qiao have?
2. A room is 6 meters long, 3.5 meters wide and 3 meters high, with 8 square meters of doors and windows. Now we need to cement the walls and top of this room. If you need 4 kilograms of cement per square meter, how many kilograms of cement do you need?
3. The bottom of a triangular piece of paper with an area of 15 cm 2 is 6 cm long. What is the height of this bottom?
The distance between city A and city B is 680 kilometers. The ordinary bus from city A to city B travels 60 kilometers per hour. Two hours later, the express train goes from B to A at a speed of 80 kilometers per hour. How many hours after the express train leaves, do the two cars meet?
5. A cuboid (as shown in the shaded area) becomes a cube if its height is increased by 5 cm (as shown in the dotted line), and its volume is increased by 300 cubic centimeters. Find the surface area of the resulting cube.