Multiple choice questions (write the serial number of the correct answer in the brackets at the back) (65438+ 0 points for each small question ***6 points)
1, if a÷7/8=b×7/8(ab is a natural number), then ().
[①a & gt； b②a = b③a & lt； b ]
2, natural number, any multiple of 5 ()
【 ① It must be a prime number ② It must be a composite number ③ It may be a prime number or a composite number 】
3, the flour yield of wheat is certain, the weight of wheat and the weight of grinding ()
【 ① Inverse ratio ② Direct ratio ③ Out of proportion 】
The first term of the ratio is 8. If the first item is increased by 16, the last item should be (), keeping the proportion unchanged.
[① Increase 16 ② Multiply 2 ③ Divide by 1/3]
The largest of the three angles of a triangle is 89 degrees, and this triangle is ().
【 ① acute triangle ② right triangle ③ obtuse triangle 】
6, a cylinder, if its bottom diameter is expanded by 2 times, and its height remains the same, then its volume is expanded by () times. [ ① 2 ② 4 ③ 6 ]
2. Fill in the blanks (1-9 is 2 points for each question,10-14 points for each question) (**26 points).
1, 20.407 million yuan (), rounded to ten thousand, about () ten thousand.
2, 68 months = () year () month 4 liters 20 ml = () cubic decimeter.
3、0.6:( )= 9.6÷( )= 1.2= 1 5 =( )%
4. When the natural number A is divided by the natural number B, the quotient is 18, and the least common multiple of A and B is ().
5. On the map with the scale of 1: 50000, the distance between two points is 12 cm, and the actual distance between these two points is () km.
6. In a proportion, it is known that two external terms are reciprocal, one of which is the smallest prime number and the other is ().
7. Cylinders and cones have equal bottoms and heights. If their volumes differ by 32 cubic decimeters, then the volume of the cone is () cubic centimeters.
8. 168 continuously subtract 12. Subtract () times and the result is 12.
A piece of steel is 5 meters long. It takes 3/5 hours to saw it to be 50 cm long, and () hours if it is 100 cm long.
10, the length and width of a cuboid wood are 4 decimeters and the height is 8 decimeters. The volume of this wood is (); If this piece of wood is sawed into two cubes, the sum of the surface areas of the two cubes is ().
1 1, the area of a rectangle is 2 10 cm2, its length and width are two continuous natural numbers, and the circumference of this rectangle is ().
Three, observation and thinking (4 points)
The sum (1) in the formula each represents a number. Known (+×0.3=4.2, ÷0.4= 12.
Then, = (), = ()
(2) Look at the right side of the picture and fill in a letter in the brackets below to make the equation hold.
Front area upper area c b
()a
Fourth, the calculation problem: (12 points)
1、 2、
3、 4、 16×45+99× 100 1×0? 86400÷ 120
5. Column calculation. (9 points)
1. The known number A is 0.4 times that of 65438+ number B. A streamlined institution has 75 staff members.
The difference between two numbers is 9.8. Find the second number. (Equation solving) There are 45 fewer people than before, by what percentage?
2. The number of A is 33.5, and the average number of B and C is 30.5.
What is the average of these three numbers?
Six, the application problem (4+4+4+4+6+6+6)
1, and the distance between Party A and Party B is 405km. Car A travels from A to B in 4 hours 180 km. At this rate, how many hours will it take for the bus to get to B?
2. The drum of the drum is a cylinder. This drum is 2 meters in diameter and 5 meters in length. Now the roller rolls forward 120 turns. What is the area of the pressed road surface? (π takes 3. 14)
3. A factory produces a batch of cement, which was originally planned to produce 150 tons per day, and the task can be completed on time. Actually, the output was increased by 30 tons per day, and the task was completed in only 25 days. How many days does it take to complete the original planned production task? (Use proportional solution)
4. Processing a batch of parts will take 5 hours for Party A and Party B to cooperate, and Party A will make 9 forms alone. It is known that A processes 2 more parts per hour than B. How many parts are there in this batch?
5. The stadium bought 16 basketballs and 12 footballs, and * * * paid 760 yuan. It is known that the unit price ratio of basketball and football is 5: 6. How much does the stadium pay for basketball and football?
6. A shop bought a batch of leather sandals, and the price of each pair was 15% higher than the purchase price. If you sell them all, you can make a profit 120 yuan; If you only sell 80 pairs, you can't go to 64 yuan. What is the purchase price of leather sandals?
7. Master Zhang will make a cylinder from two pieces of iron sheets (see the picture below), choose one of them to cut out two bottoms, and then use the other piece as an edge. The volume of the cylinder is required to be as large as possible, so what is the surface area of the cylinder made by Master Zhang? What is the volume? (regardless of the joint, π is φ 14)
8. There are two piles of coal, A pile and B pile. If A pile is transported to B pile with 10 tons, then A pile will be 5 tons less than B pile ... Now that both piles have transported the same amount of tons, what is left in the second pile is 17 left in the first pile. How many tons of coal are left in pile A at this time?
20
Seven, solve the problem (5 points)
The retail price of tickets for a large children's amusement park in Xiamen is one 20 yuan. There are 46 people in class 6 (1). Please design two ways to purchase tickets according to the regulations of the park management office (as shown in the figure), and point out which way is the cheapest.
Mode 1: _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _
Option 2: _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _
(1) The cheapest way to buy tickets is _ _ _ _ _ _ _ _ the cheapest way.