Tisch
First of all, carefully examine the questions and fill in the blanks accurately. (1 minute per space, * * 2 1 minute) 1.2008 Beijing has successfully hosted the 22nd Olympic Games, and about 4120,500,000 people around the world watched the TV broadcast. The unit of "ten thousand people" is () ten thousand people, omitting the tail after "one hundred million".
2.20: () = () ÷ 45 = 20% discount = ()%
3. 1 ton = () ton () kg 8500ml = () liter
At the get-together, Xiaohua strung balloons together and decorated the classroom in the order of 3 red balloons, 2 yellow balloons and 1 green balloon. Then the16th balloon is () color.
5. The surface area of a cube with a length of 6 decimeters is () square decimeter. Cut it into a new cone, the volume of which is () cubic decimeter.
6. On the map with the scale of 1: 4000000, the 3 cm line segment represents the actual distance () kilometers.
7. In the four years of 20 12, 20 13, 20 14 and 20 15, () has 366 days.
The decimal unit of 8 is, and the decimal unit such as () is the smallest composite number.
9. In-5,0,-1,+4,2.5, the number is (), the smallest number is (), plus or minus.
The dividing line of numbers is ().
10. Lifan's mother deposited 2,000 yuan in the bank for two years, with an annual interest rate of 3.45%. The money was paid by her mother.
The interest on the deposit was given to Lifan as pocket money, and Lifan could get pocket money of () yuan at that time.
1 1. As shown on the right, you can see a three-dimensional figure from the front and left.
To build such a three-dimensional diagram, at least () small cubes are needed.
Scoring reviewer
Second, carefully scrutinize and analyze. Draw "tick" correctly and "x" wrongly. 65438+ 0 points for each question, ***6 points)
1. All prime numbers are odd except 2. ()
2.x and y are two related quantities. If 3x=5y, x and y are inversely proportional. ()
If the length and width of a rectangle increase by 3 meters, its area will increase by 9 square meters. ()
4. Made in Li Shifu 105 pieces, all of which are qualified, and the qualified rate is 105%. ()
5. It cannot be converted into a finite decimal. ()
6. The side areas of two cylinders are the same, so the perimeters of their bottoms must be equal. ()
Scoring reviewer
Third, compare repeatedly and choose carefully. (Fill in the serial number of the correct answer in brackets, each question is 1 point, ***8 points)
1. The first person in the world to calculate the value of pi to seven decimal places is ().
A, Hua B, Zhang Heng C, Zu Chongzhi D, Tao Xingzhi
2. In the figure below, () is not an axisymmetric figure.
A, B, C, D,
3. The ratio of the degrees of the three internal angles of a right-angled isosceles triangle is ().
a、 1∶2∶2B、2∶ 1∶ 1C、3∶2∶ 1D、3∶3∶ 1
The price of a commodity rises by 20% first, and then falls by 20%. Compared with the original price, ().
A, improve b, reduce c, constant d, uncertainty
5. The original price of a bag of milk from 2 yuan is on sale, and the price of each bag in Store A is reduced by 15%.
Shop B "buy four and get one free", and shop C sells it at a discount of 8.8 per pack. Xiaoming wants to buy five bags of milk.
Buy cheap ones from () store.
uncertain
6. (as shown on the right) Turn the dial pointer at will, and the pointer will
() Stop in the shadow.
A, definitely b, maybe c, impossible.
7. A bottle of mineral water is about 550 ().
a、LB、m2C、m3D、ml
8. The following belongs to the equation is ().
a、χ+5B、5+6= 1 1C、χ- 10=3D、χ÷ 12>20
Scoring reviewer
Fourth, think cleverly and win the championship easily. (29 points)
1. Numbers written directly (8 points)
14÷35=+=0.77+0.33=×4+4×=
-×0=×=:=ɑ-ɑ×=
2. Calculation (if it can be simplified, write the simplified process) (12 points)
(0. 125×8-0.5)×4÷6+×
×0.25+×4-[3.75×( 1.2-)+]
3. Clever password x(6 points)
x-0.2x=5.6∶x=∶24
4. Find out the area of the shaded part in the picture below. It is known that the radius of a circle is 4 cm. (3 points)
Five, hands-on operation, try to explore. (***8 points)
1.( 1) Please draw a circle in the square below. (2 points)
(2) If the square area is 16 cm2, calculate the ratio of the square area to the circular area.
(2 points)
2. Solve the problem according to the information provided in the picture.
(1) Xinhua Bookstore is about () meters away from the municipal government. (2 points)
(2) century avenue is vertically connected with Jiefang Road, and the distance from the west of Jiefang Road to the north of Tianmen Road is 1 000m. Please draw a picture to show "century avenue". (2 points)
Scoring reviewer
Sixth, integrate into life and face reality. (***28 points)
1. Write the answer directly (8 points)
(1) The picture on the left shows Mr. Wang copying a document on the computer. electric current
It has taken 7 minutes for the brain to display this document, so it will take () minutes for Teacher Wang to finish this document.
(2) The ticket price for the opening ceremony of the Beijing Olympic Games is 5,000 yuan, which is 23% more expensive than the ticket price for the closing ceremony.
The price of tickets for the closing ceremony is () yuan.
(3) The average age of Xiaohua's parents this year is 30 years old. As we all know, mom and dad are equal.
The average age is 39 years old. Guess Xiaohua is () years old this year.
(4) The school organized "Red Cross" donation activities, and the sixth-grade students donated money to 650 yuan, more than the fifth-grade students.
The donation is twice that of 150 yuan. The fifth-grade students donated () yuan.
A story book has 280 pages. Xiaohua has been reading for five days, with an average of 20 pages a day, and the rest is getting worse every day.
I read more than 10 pages. How many days does it take to finish reading this story book? (4 points)
The rectangular playground is120m long and 90m wide. Please draw the playground to scale.
Floor plan. (4 points)
Aunt Li made a cylindrical pillow with a length of 60cm and a bottom diameter of 20cm. If the side is printed cloth and the bottom is yellow cloth, how many square centimeters do the two kinds of cloth need? (π takes 3. 14, and this question is 4 points)
5. An engineering team built a road, the first week was 240 meters, and 25% of the road was not repaired. How long is this road? (Equation solving) (4 points)
6. The following is the purchase and sale record of women's wear in Sunshine Clothing Supermarket in April. (4 points)
Size SMLXLXXLXXXL
Purchase quantity/piece 501001201006040
Sales quantity/piece 3596110804015
(1) Please write down the two best-selling sizes of women's wear in this supermarket.
(2) According to the sales situation, what size clothes should be reduced the next time? Please explain the reason.
extreme
I. Fill in the blanks: (*** 15)
1, 30 square meters is more than 24 square meters ()%; 8 kg or more and 0.4 kg is () kg;
140 kg is 40% more than () kg; 5 kg minus 20% is () kg.
2. The volume of the cone is 48 cubic centimeters, the bottom area is 16 square centimeters, and the height is () centimeters.
3. The salt content of some brine is 8℅, that is, put 8 grams of salt in () grams of water.
4, 54, 32, 48, 8 1 four numbers constitute a proportional formula ().
5. The radius of the big circle is 5cm, the radius of the small circle is 2cm, the ratio of the circumference of the big circle to the small circle is (), and the ratio of the area of the small circle to the big circle is ().
6.4:15, add 2.4 to the former term and () to the latter term to keep the ratio unchanged.
7. 58 of A is equal to 12 of B, and A: B = () ∴ ().
8.x = 5b-2b, and the ratio of b to x is ().
9. After cutting a 3-meter-long cylindrical wood into four sections on average, the surface area increased by 12 square decimeter. At first, the volume of this kind of wood was () cubic decimeter.
10, with a rectangular cardboard, 24cm long and18cm wide. Xiaoming rolled it horizontally into a cylinder, and the volume of the cylinder was () cubic centimeters, while Xiaohua rolled it vertically into a cylinder, and the volume of the cylinder was () cubic centimeters. (Pi is calculated by taking 3)
II. Judgment (***5 points)
1, cuboid, cube, cylinder and cone can all be calculated by "bottom area × height". ()
2. In the picture on the left, the volumes of cylinder and cone are equal. ()
3. In the proportion, the two external terms are still proportional after they are interchanged. ()
4. The scale of a plan is 10: 1, which means that the actual distance is 10 times the distance on the map. ()
5. When AB = XY (when A, B, X and Y are not 0), ax and by can form a proportion. ()
Three. Choice (***5 points)
1, the ratio of A to B is 4∶5, and A is better than B ().
A, large 15B, large 14C, small 15D, small 14.
2. Fill a cylindrical container with a bottom diameter of 2 decimeters and a height of 3 decimeters with water. Now, gently insert a square steel with a bottom area of 0.6 square decimeter and a height of 4 decimeter, and the overflow amount is () ml.
a、2.4B、 1.8C、2400D、 1800
A picture is 30 cm long. Technician Wang intends to draw a part with an actual length of 2. 1 mm on this drawing. You can choose a suitable scale ().
a、 150: 1B、 1: 150C、 100: 1D、 1: 100
4. The number of boys in a class is * 1 17 times, so the proportion of boys in the class is ().
a、8:7B、7:8C、8 15D、 158
5. The bottom areas of cylinder and cone are equal, the volume of cylinder is twice that of cone, and the height of cylinder is the height of cone ().
a、 12B、 13C、23D、 14
Three. Calculation (***3 1)
1, a number written directly. (4 points)
0.49÷0.7=0.77+0.33=0÷23=3.06-2.6=
8 15×200= 14÷8=0.2 1× 13=0.52=
2, solve the equation or solution ratio (9 points)
5.4X+2.6X = 8408 X-= 78:X = 2. 1:8 15
3. How to calculate it simply (18 points)
20.2×8- 10.2÷0. 1254×27%×2.5 1425÷(75+ 1425)
(34-34×56)÷3278×9+78[56-(25+ 13)]×57
Four, solve the problem (***44 points, 9 points 4 points)
1. After a 20% discount on a set of men's wear in a shopping mall, it was paid less than the original price 160 yuan. What is the original price of this men's suit?
2. The road repair team built a road, 1 25% of the total length in February 13. It is known that February is more than January 15km. How many kilometers is this road?
The distance between cities A and B is 250km. On a map, the distance between cities A and B is 5 cm. On this map, the distance between cities B and C is 3 cm. What is the actual distance between b and c?
A car travels 60 kilometers per hour from A to B, and it takes 3 hours to get there. If it takes 2.5 hours to get there, how many kilometers per hour? (Use proportional solution)
5. If the height of a cylinder is reduced by 2 cm, the surface area will be reduced by 25. 12 cm and the volume will be reduced by 15. How many cubic centimeters is the original volume of this cylinder?
6. The house should be paved with square bricks. It takes 96 yuan to use a square brick with a side length of 3 meters. If you use a square brick with a side length of 4 meters, is 55 yuan enough?
7. A cylindrical container contains 12 water, which is exactly 120 ml. If the water in this cylindrical container is poured into a conical container with the same bottom and height, how many milliliters of water may overflow?
8. A batch of oranges came to the fruit shop, which sold 40% of the total on the first day and 140 kg on the second day. The weight ratio of the remaining oranges to the sold oranges is 1: 3. How many kilograms do these oranges weigh?
9. Please be a "staff officer"!
Tisso
First, read the questions carefully and fill in the blanks carefully. (22%)
1. By the end of 2006, the number of mobile users in China had reached 344.073 million, pronounced as (), rewritten as "1 100 million", and one decimal place was ().
2. The base angle of an isosceles triangle is 45 degrees, and the top angle is () degrees. This triangle is called () triangle.
3. If a = 4b (a, b is not equal to 0), then a and b are directly proportional to ().
4. * * * () days this year.
5. A batch of seeds were used for germination test, and 100 seeds were taken out for the first time, 65 seeds germinated, and 25 seeds were taken out for the second time, all of which germinated. The germination rate of these seeds is ()%.
6. The two external terms of proportion are the minimum prime number and the minimum composite number. The ratio of the two proportions is 5, and the ratio formula is ().
7. Saw the 5-meter-long cylindrical wood into 4 sections to increase the surface area of 60 square decimeters. The volume of this kind of wood is () cubic decimeter.
8. Team A and Team B will 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.
9. The radius of the bottom surface of the cylinder is 3cm, the height is 2cm, the side surface area is () cm2, the surface area is () cm2, the volume is () cm3, and the volume of the cone with the same height as the bottom surface is () cm3.
10, the common divisor of two numbers is 1, and the minimum common multiple is 72. These two numbers are () and () or () and ().
1 1, the average value of a, b and c is 70. A: B = 2: 3, B is C and the number B is ().
12, = 9 ÷ () = 0.75 = (): 16 = ()% = () Fill in the decimal.
13, there were 28 workers in a workshop, including male workers 12, and later transferred to () female workers, when female workers accounted for the total number.
14. If the number of A equals the number of B, then the number of A: B = () ∴ ().
Second, carefully scrutinize and analyze. (Mark "√" for the right and "×" for the wrong) 5%
1, number A is four times that of number B, so number B is number A .. ()
2. The volume of a cone is constant, and its bottom area is inversely proportional to its height. ()
3. Formulas with unknowns are called equations. ()
4. Look at the angle of 30 degrees with a magnifying glass, and the magnification is 10 times. The angle from the magnifying glass is 300 degrees. ()
5.5 (2) Class planted trees 102, all of them survived, and the survival rate was 102%. ()
Three, after repeated comparison, carefully choose (fill in the serial number of the correct answer in brackets) 6%
1, the average height of students in Xiaoming's class 1.4 1 m, and the average height of students in Xiao Qiang's class 1.4 m, compared with Xiao Qiang ().
A. Xiao Ming is tall, B. Xiao Qiang is tall, C. He is as tall as D. He is not sure who is tall.
2, a two-digit number, the number on the tenth digit is 3, and the number on the second digit is A, which means that the formula of this two-digit number is ().
a、30+aB、3+aC、3+ 10aD、3a
3. A miniature part, drawn on the drawing, is 0.5mm long and 5cm long. The scale of this picture is ().
a . 1: 10b . 10: 1c . 1: 100d . 100: 1
Saw a piece of wood into 7 sections. If the sawing time is equal each time, the time for sawing each section is the time required for sawing the wood ().
Asian Development Bank.
Molecules of 5 and 38 plus 6. In order to keep the original score unchanged, add () to the denominator.
a、6B、8C、 16D、20
Fourth, careful and ingenious calculation. 37%
1, a number written directly. 5%
567+ 198=200×0.24=5 1.6÷6= 100—27.69-32.3 1=
12.5× 16= 106÷53×0=7÷63=(0. 18+0.9)÷9=
2, how to calculate how simple. 12%
(+)×660.25×( 1.6+ 1.6+ 1.6+ 1.6)
79÷ 1 15+29×5 1 10. 125×3.2×2.5
3. Find the unknown χ. 6%
0.5x-4×0.25= 1.2532:x=:
4. Column calculation. 6%
What's the difference between (1) 10 minus 6 and 1.5? (2) 15 is four times smaller than a number, 12,
What's this number?
5. Off-mold calculation. (8 points)
÷[ 1÷(-)]×[+(-)]
10. 19-(2. 19+0.75÷25%)337.5+450÷ 18×2.5
Fifth, the first operation in the calculation. 5%
Please draw a circle with a circumference of 12.56cm and cut it into a square. What is the area of the cutting part?
Sixth, apply knowledge to solve problems. 25%
1. A liquid medicine is prepared from powder and water at the ratio of1:100. How many kilograms of powder and water does it take to prepare 4040 kilograms of this potion?
2. Yushang Primary School carried out water-saving activities, saving water for 7 days 1 12 tons. According to this calculation, how many tons of water did the school save in February this year?
3. A harvester harvests 4.8 hectares of wheat in 4 hours. According to this calculation, how many hours will it take to harvest 72 hectares of wheat? (Solve with proportional knowledge)
Xiaohua's family harvested 6000 Jin of corn this year, 25% higher than last year. How many Jin of corn did Xiaohuajia harvest last year and this year?
5. A conical wheat pile, with a bottom circumference of18.84m and a height of10.5m, was put into a grain warehouse, accounting for 5% of the warehouse capacity. What is the capacity of this warehouse?
Additional topic A and B two cars leave from A and B at the same time. A car is 80 kilometers per hour, and B car is 25% slower than A car. Seven hours later, two cars met. How many kilometers is it between A and B? (5%)