True or false: 1. The same road, Party A 5 hours, Party B 4 hours. The speed ratio between Party A and Party B is 5:4. ( )
2, greater than 90? These angles are obtuse. ( )
As long as this number is divisible by 2, it is even. ( )
There are 365 days in a year. ( )
5. The area at the bottom of the cylinder is expanded by 3 times, and the volume is expanded by 3 times. ( )
6. 12/ 15 cannot be converted to a finite decimal. ( )
7. Numbers divisible by 3 must be divisible by 9. ( )
8.a, B and C are three natural numbers (and not equal to 0). When a=b? clock
A and b must be divisors of a ()
B and c must be the greatest common divisor of a and B. ()
C and a must be the least common multiple of a and B. ()
D and a must be common multiples of b and c. ()
9. The sum of two acute angles must be obtuse. ( )
10, proportionally, if two internal terms are reciprocal, then two external terms are reciprocal. ( )
1 1、? Bright? Is it on the milk carton? Net content: 250 ml? This 250 ml refers to the volume of the packaging box. ( )
12, x+y=ky(k is certain), then x and y are out of proportion. ( )
13, square, rectangle, parallelogram and trapezoid are all special quadrilaterals. ( )
14, the volume of a cylinder is three times that of a cone, and the bottom surface and height must be equal. ( )
15, and the scale is the ratio of the previous paragraph to 1. ( )
16, 1 kg metal ratio 1 kg cotton weight. ( )
17,1100 and 1% are all fractions with the denominator of100, which have the same meaning. ( )
18, the volume of the cone is 2/3 smaller than that of the cylinder. ( )
19, two rays can form an angle. ( )
20. After the rectangular wooden frame is drawn into a parallelogram, the sum of the internal angles of the four corners remains unchanged ()
2 1, any cuboid, only two opposite faces are completely equal. ( )
22. Two rectangles with equal perimeters must have the same area. ( )
23. The bottom area of an object with a volume of 1 cubic decimeter must be 1 square decimeter. ( )
24. A cube with a volume of 1 cubic decimeter must have a bottom area of 1 square decimeter ().
25. Work efficiency is inversely proportional to working hours. ( )
26. The previous item of the ratio increased by 10%. To keep the proportion unchanged, the latter term should be multiplied by 1. 1. ( )
27.5 kg of salt is dissolved in 100 kg of water, and the salt content of brine is 5%. ( )
28, the scale is large, and the actual distance is also large. ( )
29. If the circumference of a square is equal to the circumference of a circle, what is the area ratio of the square to the circle? ∶4。 ( )
30. The smaller the fractional value, the smaller the decimal unit. ( )
7m's 3 1, 1/8 are as long as 8m's 1/7. ( )
32. Two disjoint straight lines are called parallel lines. ( )
33. Xiao Wang processed 99 parts, 99 of which were qualified, and the qualified rate of these parts was 99%. ( )
34. Five workers process five parts in five hours, so 1 worker processes 1 part in 0 hours. ( )
35. Adding two zeros to the end of a number will enlarge the original number by 100 times. ( )
Multiple choice question 1, natural number A divided by natural number B, and the quotient is 10, then the greatest common divisor of A and B is ().
a、a B、b C、 10
2. A triangle is divided into two triangles by drawing a line segment through one of its vertices, and the sum of the internal angles of a triangle is ().
a、 180？ b、90？ C, uncertainty
3. It takes 65,438+00 hours for the bus to drive from A to B, and 65,438+05 hours for the truck. The speed ratio between the bus and the truck is ().
a、2:3 B、3:2 C、2:5
4. Three wires with a length of 12 decimeter are used to enclose a rectangle, a square and a circle, and the enclosed () area is the largest.
A, rectangle b, square c, circle
5. in the division formula m? N=ab，(n？ 0), the following formula is correct ().
a、a & gtn B、n & gta C、n & gtb
6, a vertex of the parallelogram to the opposite side can be made () high.
A, 1 B, 2 C, countless
7. Use three lead wires of equal length to form a circle, a square and a rectangle respectively, and the area of () is the smallest.
A, circle b, square c, rectangle
8. The ratio of number A to number B is 0.4, and the ratio of number B to number A is ().
A.0.4 B.2.5 C. 2/5
9, processing a batch of parts, after inspection, 100 qualified, 25 unqualified, the qualified rate of this batch of parts is ().
a、75% B、80% C、 100%
10, the third place to the right of the decimal point is ()
A, percentile b, thousandth c, 0.0 1 D, 0.00 1
1 1, the volume of a cylinder with equal bottom and equal height is larger than that of a cone ()
A, big B, twice as big C, small
12, if 4X=3Y, then x and y ()
A, proportional to B, inversely proportional to C, out of proportion
13、0.7? 0.3 If the quotient is 2, then the remainder is ()
a、 1 B、0. 1 C、0.0 1 D、 10
14, manufacturing a batch of parts, if everyone's work efficiency is certain, then the number of workers and the time spent ()
Answer: It is directly proportional to B and inversely proportional to C.
15. Two ropes with the same length, one is cut by 3/7 meters, the other is cut by 3/7 meters, and the first rope () is cut longer.
A, the first root is long b, the second root is long c and the same length d, so it is impossible to judge.
16, a rope, cut into two sections, the first section is 3/7 meters long, the second section accounts for 3/7 of the total length, and the first section () is longer.
A, the first paragraph b, the second paragraph c, the same length d, can not be judged.
Fill in the blanks 1, cuboid warehouse 1, 50 meters long, 30 meters wide and 5 meters high. This cuboid warehouse can hold up to 8 cubic meters of cuboid containers ().
2. There is a 20-cm-long iron wire to enclose a quadrilateral with opposite sides of 4 cm. This quadrilateral may be ().
3. Team A and Team B complete a project in 20 days. It is known that the work efficiency ratio of Team A and Team B is 4: 5, and it takes Team A () days to complete the project alone.
The hour hand of a clock is 3 cm long, and the distance traveled by its tip in one day and night is () cm.
5. On a rectangular iron plate with a length of 10 decimeter and a width of 6 decimeters, at most () circular iron plates with a diameter of 2 decimeters can be intercepted.
6, 3/4 tons can be regarded as 3 tons (/) or 9 tons (/).
7. The side length ratio of two cubes is 1: 3, the surface area ratio of these two cubes is (): (), and the volume ratio is (): ().
8. The base angle of a triangle is 45 degrees, and the top angle is () degrees. This triangle is called () triangle.
9. A small cube with a side length of 1 cm needs at least () cubes to make a larger cube, and () cubes to make a larger cube with a side length of 1 decimeter. If these cubes are arranged in a row in turn, they can be arranged in () meters.
10, 20% of a number is 100, and 3/5 of this number is ().
1/class kloc-0/and class 6 (1) There are 48 people attending classes today, and two of them are on leave due to illness. The attendance rate on this day is ()%.
12, the quotient of a divided by b is 2, then A: B = (): ().
13, 5/8 of a is equal to 5/ 12 of b, and a: b = () ∴ ().
14, the former 4∶ 15 plus 2.5, and the latter () to keep the ratio unchanged.
15,6/5 tons: 350 kg, the simplified ratio is (), and the ratio is ().
16. After 1/8 of the number of people in Class A is transferred to Class B, the number of people in both classes is equal. It turns out that the ratio of Class A to Class B is ().
17, the walking distance of A is 4/5 of that of B, the walking time of B is 4/5 of that of A, and the speed ratio of A and B is ().
18, a number consists of 5 million tens, 8 thousands and 40 tens. This number is written as () and rewritten as a number of ten thousand, omitting the mantissa writing () after ten thousand.
Within 19 and 50, there are only numbers with prime factor of 2 ().
20. A rope is 4 meters long. Divided into five segments on average. Each section is the () of this rope, and the length of () meter is equal to 1 meter ().
The unit of 2 1 3/8 is (), and the unit with () is 87.5%.
22. Fill in the brackets with a single-digit score, 3/4.
23. The least common multiple of15+5 is () times of the greatest common divisor, and their direct greatest common divisor is () times, which is () times of these two numbers.
24, expressed in letters:
(1) Team A completed a project in one day and Team B completed another project in two days. How many days does it take for two teams to work together?
(2) The quotient of 3 times the sum of A and 7 divided by 5 is ().
(3) The quotient of n divided by m is ().
25. A 2-meter-long wooden stick with a cross-sectional diameter of 6 cm has an increased surface area () after being cut into four sections, and its original volume is ().
Application problem 1. A cylindrical piece of wood is 2 meters long, cut into three equal parts, and its surface area has increased by 24 square centimeters. How many cubic centimeters is the log?
2. The circumference of the bottom of the conical wheat pile is 12.56m and the height is1.2m. If the wheat weighs 500kg per cubic meter. How many tons does this pile of wheat weigh?
What is the area of a circle with a length of 8 cm and a width of 4.56 cm, which is equal to the circumference of this rectangle?
The area of a triangular land is 0.8 hectares, its bottom is 400 meters, and its height is how many meters?
A piece of white cloth is a square with a side length of 2 meters, and it is cut into an isosceles right triangle with a right angle and a side length of 2 meters. How many pieces can I cut at most?
6. Use 12.56 decimeter long lead wire to form a square and a circle respectively. How much is the area of a circle larger than that of a square?
7. Xiaohong read a story book and read 54 pages in 3 days. According to this calculation, how many days will it take to finish the book with 162 pages? (Use proportional solution)
8. There is an isosceles triangle whose two angles have a degree ratio of 1: 2. What triangle can this triangle be classified into by angle?
9. After the weaving factory finishes processing a batch of cloth, it takes Party A 16 days to cooperate, 20 days for Party A to do it alone, and Party B has to weave 600 meters every day. How many kilometers is this batch of cloth?
10, Party A and Party B drive in the opposite direction from the same place. Party A leaves at 6: 00 p.m. at a speed of 40,000 meters per hour. Party B left at 4 am the next day. 10 hour later, the distance between the two cars is 1080km. What's the speed of car B?
1 1. Machine Tool Factory manufactures a machine tool, and each machine uses 1.5 tons of steel, which actually saves 0.25 tons. Therefore, more 10 sets were produced than originally planned. How many machine tools were planned to be built?
12. Xiao Wang bought a batch of toothbrushes with a wholesale price of 0.35 yuan and a retail price of 0.40 yuan. When there were 200 pieces left to sell, Xiao Wang calculated that after deducting all costs, he had already made a profit of 200 pieces. How many toothbrushes did the shop buy?
13. Salt is completely dissolved in water and becomes brine. It is known that the weight ratio of salt to water in brine is 1: 10. How many kilograms of water should I add to 500 grams of salt?
14, a highway was built, and 20% of it was built five days ago. According to this calculation, how many days will it take to complete this road?
15, the original price of a washing machine 1450 yuan, is now reduced by 20%, but the price is still higher than the cost 1/9. How much is this washing machine?
16. The actual investment in building a new road is10.588 million yuan, which is 210.20 million yuan less than the original plan. What percentage was saved?
17. it takes 10 hour for team a to complete a project alone, and 15 hour for team b. Now Group A will work alone for 2 hours, while everyone else in Group B is working. How many hours will it take to finish this task?
18, Xiaolin goes to school from home at 7: 30 in the morning and walks 50 meters every minute. I just arrived at the school gate and found that I didn't bring my math book. I immediately went back the same way and walked 70 meters per minute. It was exactly 7: 54 when I got home. How many meters is Xiao Lin's home from school?
19, a cuboid warehouse, about 9 meters long from the inside. 6 meters wide and 5 meters high. If you put it in a 2-meter-long cubic wooden box, how many can you put at most?
20. The accountant of a factory found that the cash was 273.6 yuan more. After the audit, it was found that the decimal point of an expenditure was wrong. How much is this?
2 1. A paper mill carried out household saving activities, saving 1.44 tons of coal every day. If 3 kilograms of coal can generate 7.5 degrees of electricity, how many degrees of coal can be saved every day?
22. The decimal point of a certain number is shifted to the left by one place, which is 4 1.4 less than the original number. What was the original number?
23. The area of a triangle is18cm2, its base is12cm, and how many centimeters is its height?
24. A box of soap was distributed to workers in a workshop, with an average of 0/2 piece per person/kloc. If it is only distributed to female employees, the average person can get 20 pieces; If it is only distributed to male employees, how much can each person get?
25. The profit of a commodity is 20% of the cost. If the profit is increased to 30%, how much should the selling price be increased?
26. There is an oil mill that squeezes oil. 100 kg rapeseed can squeeze out 38 kg oil. How many kilograms of rapeseed does it take to squeeze 1 kg oil? 1 kg rapeseed can squeeze out how many kilograms of oil?
27. Fold the 48 cm long iron wire into a right triangle with the ratio of three sides of 3: 4: 5, and find the area of this right triangle.
28. Xiaohong's family has a barrel of oil, which weighs 8 kilograms. Half of it is used, and the barrel weighs 4.5 kilograms. How many kilograms of crude oil?
29. It takes 8 days for Team A and 10 km for Team B to build a10 km road ... How many days does it take for the two teams to repair together now?
30. The area of rectangular flower bed is 6 square meters. If the length is increased by 1/3 and the width is increased by 1/4, how many square meters is the area now more than before?