(1) A number consists of 52 million, 534 million and 600 million. This number is written as (), rewritten as a number with tens of thousands (), rounded to hundreds of millions, which is probably ().
② If (A and B are not 0), then a:b=
③ Divide a 5m-long rope into 10 segments, each segment is () of this rope, and each segment is () meters long.
④ Dissolve 25g of salt in 100g of water, and the ratio of salt to water is (). The salt content of salt water is ()%.
⑤ Add a number to the least common multiple of 12 and 18, and the sum can be divisible by 2, 3 and 5 at the same time. The minimum quantity is ().
⑥ The degree ratio of three internal angles of a triangle is 3:4:5, and this triangle is a () triangle.
⑦ Measure the round grass on the map with the scale of meters.
The diameter of the ground is 2 cm. The actual circumference of this grassland is () meters and the area is () square meters.
8 the number a is b, which is three times less than the number b, and the formula for finding the number b is ().
Pet-name ruby if a+ 1=b, (both a and b are non-zero natural numbers), then the common divisor of a and b is (), and the least common multiple is ().
Attending a cuboid, if the height is increased by 2 cm, it will become a cube, and the surface area will increase by 56 cm. It turns out that the volume of this cuboid is ().
Second, carefully scrutinize and make judgments. (Mark "√" for the right and "×" for the wrong. )
1, the product of a number multiplied by a fraction must be less than the original number. ( )
2. At least two of the three internal angles of any triangle are acute angles. ( )
3. "The longer the two sides of an angle, the bigger the angle" is wrong. ( )
4. natural numbers (except zero) a and b, if A >;; B then. ( )
5. Because Team A repairs more than Team B 10%, Team B repairs less than Team A 10% ... ()
6. If 7x=y, then x is inversely proportional to y .. ()
7.6 (3) Class A, Class B is on duty today. The attendance rate today is × 100%. ( )
8, cylindrical wood is processed into conical wood, and the minimum volume is reduced. ( )
9. None of them can be converted into finite decimals. ( )
10. In the ratio of 2.5:a=b:0.4, A and B must be reciprocal. ( )
Third, compare repeatedly and choose carefully. (20 points)
1, if you want to intuitively express the number of boys and girls in grade six in our school from 2002 to 2008, you should choose () to reflect it.
A, bar chart b, line chart c, fan chart
2. Roll two identical rectangular paper rolls into cylindrical tubes with different shapes, and stick two bottom surfaces to make two cylinders ().
A, the surface area must be equal, and B, the volume must be the same.
C, lateral area must be equal D, the bottom area must be equal.
3. The condition for making a present a÷b = a× is ().
A, a=0 B, b≠0 C, a and b are natural numbers.
4. A precision part is 5 mm long. The length drawn on the drawing is 10 cm, and the scale of this drawing is ().
a、5: 10 B、20: 1 C、2: 1 D、 1:20
5. A book has 280 pages. Xiaohong saw it on the first day, and the rest on the second day. On the third day, she should start reading from page ().
a、 120 B、 12 1 C、 16 1 D、 160
6. Party A, Party B and Party C will share a pile of sweets. If three people eat sweets at 5:6:7 or 2:3:4, () the number of sweets is the same.
A,A B,C C,B
7, as shown in the figure, the following statement is correct ()
A, the area of a is larger than that of b.
The circumference of B and B is smaller than that of the United States.
The perimeter of c and a is equal to the perimeter of B.
8. Fill in a number in the four-digit box of 42□0.
Can be divisible by 2, 3 and 5 at the same time, and there are at most () filling methods.
A, 2 B, 3 C, 4 D, countless kinds
9, the following proportion, and the proportion of energy composition ratio is ()
a、4:6 B、C、3:2 D、
10, the staff of a public institution decreased by 25%. In this sentence, () is the number "1".
A, streamline headcount B, headcount before streamlining C, headcount after streamlining
Fourth, pay attention to examination and be careful. (26 points)
1. Calculate the following problems with an appropriate method. (12)
2. Solve the equation. (6 points)
3. Find the area of the shaded part. (Unit: cm) (4 points)
Fifth, solve the problem. (24 points)
1. The cone-shaped wheat pile has a bottom radius of 5m and a height of 8m. Wheat weight per cubic meter 1.72 tons. How many tons does this pile of wheat weigh? (Keep the whole number in the number) (4 points)
2. A 6000-meter-long road will be built in the industrial zone, and 25% of the planned road has been completed in the first five days. At this rate, how many days will it take to complete the road? (Answer in two ways) (7 points)
Method 1: Method 2: Answer with proportional knowledge.
A bus and a truck set off from A and B relatively at the same time, and met on the road five hours later. The bus journey takes nine hours, while the truck travels 60 kilometers per hour. How many kilometers are AB apart? (4 points)
4.(4 points) For a project, it takes 10 days for Party A to do it alone, 12 days for Party B to do it alone, and 15 days for Party C to do it alone. Now Party A and Party B cooperate for four days, and how many days will it take Party C to do it alone?
5.(4 points) Li Ming reads a book. On the first day, he read 25 pages. The next day, he finished reading the whole book, with 55 pages left. Which page should he start reading on the third day?
6.(5 points) I hope the primary school will buy 60 footballs. There are three stores a, b and c to choose from. The football prices of the three stores are all within 25 yuan, but the preferential measures of each store are different.
Shop A: Buy 10 football and get 2 free, not 10.
B: 5 yuan is given a discount for each football.
Shop C: After shopping in 200 yuan, I will return to 30 yuan.
Which store should I buy from to save money? Why?