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20 1 1 Xinning No.1 Middle School Mathematics Test Paper
Fill in the blanks: (4 points for each small question) 1. A number, MINUS 20% of it, plus 5, is 3 less than the original. So, this number is _ _ _ _ _ _ _ _. 2. The number A is less than the number B 16%, and the number B is 20% larger than the number C. Among the three numbers A, B and C, the smallest number is _ _ _ _ _ _ _ _ _. 3. At 6: 10 on the clock, the obtuse angle formed by the minute hand and the hour hand is _ _ _ _ _ _ _ _ _. 4. A true score, if multiplied by 3, the numerator is smaller than the denominator 16, if divided, the denominator is smaller than the numerator by 2, and this true score is _ _ _ _ _ _ _ _. 5. The weight of 1 1 plum is equal to the weight of two apples and 1 peach, and the weight of two plums and1apple is equal to the weight of1peach, so the weight of a peach is equal to the weight of _ _ _ _ _ _ _ _. 6. The sum of number A and number B is 16, and number A is _ _ _ _ _ _ _. 7. Among the paintings exhibited in the "June 1st" art exhibition, 14 is not in grade 6, 17 is not in grade 5, and 2 1 is exhibited in grade 5 and 6. Therefore, the paintings exhibited in other grades are _ _ _ _ _ _ _. 8.100g 15% saline, put 8g of salt. In order to make the concentration of the solution reach 20%, then, you have to add _ _ _ _ _ _ _ g of water. 9. The two factories A and B produce the same number of products. The quantity of genuine products in Factory A is three times that of defective products in Factory B, and the quantity of genuine products in Factory B is four times that of defective products in Factory A.. Then, the ratio of the number of genuine products produced by factory A and factory B is _ _ _ _ _ _ _. 2. Application questions: (9 points for each question, only answer but not answer) 1. The quotient of dividing two numbers is 22, the remainder is 8, and the sum of dividend, divisor, quotient and remainder is 866. Q: How much is the dividend? 2. There are 407 contestants in the June 1st Singer Grand Prix, and the number of female singers who have not won the prize accounts for the total number of female singers. Q: How many male singers took part in the competition? A goes from place A to place B, and B and C go from place B to place A, and the three start at the same time. A first met B on the road, and then met C in 15 minutes. A walks 70 meters per minute, B walks 60 meters per minute and C walks 50 meters per minute. Q: A. If five small trucks are used for shipment, 75% of the whole department can be shipped in eight days. Now three large trucks and four small trucks can be shipped in a few days. 5. There are as many people in the three groups, and the number of boys in the first group is equal to that of girls in the second group. The number of boys in the third group is the sum of the number of boys in the three groups, and the total number of boys in the three groups accounts for several fractions of the total number of the three groups. 6. Water inlet pipes A and B are opened at the same time. 40% of the pool can be filled in 4 hours, then the first pipe is opened separately for 5 hours, and then the second pipe is opened separately for 7.4 hours before the pool can be filled. Q: If the second pipe is opened separately, how long can the pool be filled? 7. Xiao Yu started from home by bike at 8 o'clock. Eight minutes later, his father rode a motorcycle to catch up with Xiaoshi, who was 4 kilometers away from home. At this time, his father rushed home because of something, and then went back to catch up. Xiao Yu has been away from home for 8 kilometers. Q: When did my father catch up with Xiao Yu for the second time? 8. The number of people in Workshop A is less than that in Workshop C, 25% more than that in Workshop B, and 4 less than the sum of the two workshops. How many people are there in the three workshops? 9. If a store buys a batch of goods in 480 yuan and sells them at the price of each piece in 6 yuan, it can make a profit of 25%. In fact, due to quality problems, some goods can only be sold at a reduced price per piece in 5 yuan, so the real profit is 20%. How many of these goods are qualified products at 6 yuan prices? At 4 o'clock in the morning, the A train departs from the A place, and the B train departs at the same time. We were supposed to meet at 65,438+00 in the morning, but at 6: 30, the B bus stopped in the middle of C for some reason. Q: When does the second bus arrive at the connecting class from Grade 6 to junior high school in A? 1. Multiple choice questions (write the serial number of the correct answer in brackets) 1. If a÷7/8=b×7/8(ab is a natural number), then (). ①a & gt; b②a = b③a & lt; B 2。 In natural numbers, any multiple of 5 () ① must be a prime number ② must be a composite number ③ may be a prime number or a composite number ]3. The flour yield of wheat is constant, and the weight of wheat is inversely proportional to the grinding weight () ① is directly proportional to ③. 4. The first item of the ratio is 8. If 16 is added to the previous item, the latter item should be the same. ① Increase 16 ② Multiply 2 ③ Divide 1/3 5 The largest of the three angles of a triangle is 89 degrees, and this triangle is (). ① Acute triangle ② Right triangle ③ Oblique triangle 6. A cylinder, if its base diameter is enlarged by 2 times, its height remains unchanged and its volume is enlarged by () times. 1, 2, 2, 4, 3, 6. Fill in the blanks with 1 and 20.407 million (), and round it to ten thousand, which is about ten thousand (). 2, 68 months = () year () month 4 liters 20 ml = () cubic decimeter 3, 0.6:( )= 9.6÷( )= 1.2 =( )%4, natural number A divided by natural number B, quotient is 18, a and. 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, then 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 (). Third, the application problem: 1, only the column type is calculated, not calculated. (1) After streamlining, there are 75 staff members in an organ, which is 45 less than the original. By what percentage? (2) 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, 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? (Proportional solution) 4. It takes 5 hours for Party A to cooperate in processing a batch of parts, and 9 hours for Party A to do it 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? Comprehensive application of knowledge to solve practical problems. 1. Divide the bottom of a cylinder with a diameter of 2 decimeters into many equal sectors, and then cut circles along the diameter to form a cuboid with the same volume. The surface area of this cuboid is 8 square decimeters more than that of the original cylinder. What is the volume of this cuboid? 2. Cast a cuboid iron block with a length of 7 cm, a width of 6 cm and a height of 4.5 cm and a cubic iron block with a length of 5 cm into a big cylinder. The bottom area of this cylinder is 78.5 square centimeters. What should be the height of that cylinder?