(Answer time: 60 minutes)
First, the basic concepts. (0.44)
1.(0.30)
(1) The express train runs for 3 hours 195km, and the local train runs for 2 hours 120km.
(1) The ratio of express travel time to local travel time is ();
② The ratio of the distance traveled by the local train to the distance traveled by the express train is ();
(3) the ratio of the distance and time of the express train is ();
(4) The ratio of the distance and time traveled by the local train is ().
(2) If ().
(3) On the map with scale, the actual distance is () times of the distance on the map, and the distance on the map is the actual distance. The distance of 1 cm on the map indicates that the actual distance is () kilometers.
(4) The area of the triangle is 16 square decimeter, the bottom is 4 decimeter, the bottom is high, and the ratio of height to bottom is ().
(5) Among the numbers 2, 6, 7, 9, 2 1 5, four numbers are selected to form the proportion formula (), and the basic property test of the ratio is ().
(6)8:( )=( )÷ 15=( )%
(7) Students buy stories of mathematicians and fill in the form completely.
Cardinal number 10 9 8 7 6 5 4 …
Currency (RMB) 80 72 64 …
In the above table, the fewer books you buy, the more money you need to pay (). The amount of money is the same as the current amount (), and the amount of money is directly proportional to the current amount ().
(8) Use 100 RMB to exchange change and fill in the form completely.
The face value is one yuan.
(1 yuan) binary
(2 yuan) Wuyuan
(5 yuan) Rounding.
(10 yuan) fifty yuan.
(50 yuan)
Quantity of paper
In the above table, the face value of RMB is directly proportional to the number of changes ().
(9) The minuend is 84, the ratio of the minuend to the difference is 3: 4, the minuend is (), and the difference is ().
(10) The simplest fraction of a fraction is that the denominator of the original fraction is 8 larger than the numerator, and the numerator of the original fraction is ().
2. Judge the following questions, correctly draw funny √ ground in brackets, and wrongly draw funny × ground. (0.08)
(1) The ratio of the minimum prime number to the maximum composite number is 2: 90. ( )
(2) In the typing competition, Xiao Li took 5 minutes, Xiao Yong took 8 minutes to type the same manuscript, and the typing speed ratio of Xiao Li and Xiao Yong was 5: 8. ( )
(3) If A: B = 2: 3, then the sum of A and B must be 5. ( )
(4) The ratio of the degrees of the three internal angles of a triangle is 1: 2: 3, and this triangle is a right triangle. ( )
3. Choose the correct answer and fill in the brackets. (0.06)
(1) On a map, the actual distance of150km is represented by a 3 cm long line segment, and the scale of this map is ().
A.B. C. D。
(2) For a batch of corn seeds, the ratio of germinated grains to ungerminated grains is 4: 1, and the germination rate of these seeds is ().
A.80% to 25%
(3) Because 10×3=5×6, the proportion formula () can be formed according to the basic properties of proportion.
A. BC
Second, the basic calculation. (0. 14)
1. Simplify the following ratio and find the ratio. (0.06)
Than the simplest integer ratio.
25: 100
six
2. Solution ratio. (0.08)
( 1)
(2)
Third, solve the problem. (0.42)
(1) Li Fang wants to tease Gao Legao to make a cup of 220g chocolate milk. According to the product suggestion, the ratio of Gao Legao to milk quality is 1: 10. How many grams does she need to put to tease Gao Legao?
(2)① As can be seen from the picture below, the distance between Xu Li's home and school is 3 cm, and the actual distance is how many meters.
Next year, a community activity center will be built 900 meters north of Xu. Please mark it on the map.
(3) The length of an iron wire is14m and the mass is 3.5kg.. The existing iron wire is 60 kilograms, depending on how many meters (in proportion).
(4) Use proportional solution.
(5) 4 yuan per kilogram of oranges. Buy 2 kilograms, 3 kilograms, ... oranges?
Fill in and view:
Weight (kg) 0 1 2 3 4 5 …
Currency (yuan) 0
(1) 2.5 kg of orange blossom () yuan.
Aunt Zhang bought three times as many oranges as Aunt Li, and she spent () times as much money as Aunt Li.
Dad is going somewhere on business. The time required by different modes of transportation is shown in the figure.
Walking bike mountain bike motorcycle truck car
Speed (km) 5 10 20 25 40 50
Time (hours) 10 5
Look at the picture and fill in the form. Answer the following questions.
(1) Which amount has not changed depends on ()
(2) What is the relationship between speed and time? ()
(3) No, as can be seen from the picture, if you ride a motorcycle, it will take dad several hours to finish reading ().
(4) Do not calculate. As can be seen from the picture, if dad wants to arrive within 1 hour, how many kilometers he should drive every hour depends on which kind of transportation he should choose ().