2024年1月24日发(作者：泸州单招考试数学试卷分析)

1. a certain cake recipe states that the cake should be baked in a pan 8 inches

in diameter. if jules wants to use the recipe to make a cake of the same depth

but 12 inches in diameter, by what factor should he multiply the recipe

ingredients?

A5/2 B9/4 C3/2 D13/9 E4/3

2. the sum of two numbers is the numbers if the sum of their squares is

a minimum.

3. two numbers have a difference of 16.. find the numbers if the result of

adding their sum and their product is a minimum

4. a bus company carries about 20000 riders per day for a fare of 90 $ a survey

indicates that if the fare is decreased. the number of riders will increase by

2000 for every 5$ of decrease. what ticket price would result in the greatest

revenue ?

5. a lifeguard marks off a rectangular swimming area at a beach with 200 m of

rope. what is the greatest area of water she can enclose ?

6..The sum of n different natural numbers is less greatest possible

value of n is----

a be the average of all odd prime numbers less than inreger,most

close to a is----

two even natural numbers x,y satisfy equation x的平方加100等于y的平方,x大于y then x乘y等于----

equation of the line tangent to the graph of f(x)=x(1-2x)^3 at the point

(1,-1) is?

A.y= -7x+6 B.y= -6x+5 C.y= -2x+1 D.y= 2x-3 E.y= 7x-8

10. the number 168 and 324,written as the products of thier prime factors ,are

168=2^3 * 3 * 7 324=2^3 * 3^4

问题：the smallest positive integer value of n for which 168n is a multiple of

324?

11. A fruit seller had some fruits .3/5 of the fruits were apples and the rest were

sold 2/3 of the apples and 1/4 of the had 40 apples

and oranges left.

(a)How many apples did he sell altogether?

(b)How many fruits did he have at first?

12. .A photograph that measure 10cm by 24 cm is enlarged to a with of 14cm.

Find:

1. the enlargement is _ times larger in area than the original.

enlargement is _ times larger in perimeter than the original.

13. Tom and Jerry ran in a Jerry had completed the run in 20

mins,Tom had only run 5/8 of the `s speed for the race was 75

m/min less than jerry`s.

a)find the distance of the race

b)find Tom`s speed in m/min


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