1、英数第二周周五,1. In the figure, rectangle ABCD has dimensions as shown. The area of rectangle BDFE is？,2. In the given diagram ABCD is a square with sides 72cm. E is a point on DC such that EC=22cm and angleCFE=90. The area of AFED in cm is?,3. A book with 12 pages needs the 15 digits 1,2,3,4,5,6,7,8,9,1,
2、0,1,1,1,2 in order to number all the pages. Which one of the following numbers cannot be the number of digits needed in order to number all the pages of a book? (A)31 (B)543 (C)1998 (D)1999 (E)2001,4. An office employs thirty people. Five of them speak Spanish, French and English. Nine speak Spanish
3、 and English, twenty speak French of which twelve also speak Spanish. Eighteen speak English. No one speaks only Spanish. How many employees speak only English?,5. ABCD is a parallelogram with vertices A and B fixed, but vertices C and D are movable. If the lengths of all the sides are fixed, then t
4、he path of the intersection of the diagonals, as C and D move is a,(A)circle (B) part of a parabola (C)Rhombus (D) straight line segment (E)part of a hyperbola,6. The sum of the first p terms of a sequence of numbers is p(p+1)(p+2). The 10th term of the sequence Is,7. Starting with the numbers 1, 2,
5、 3. 500, a new sequence is formed by deleting numbers so that the sum of any two numbers of the new sequence Is nev- er a multiple of seven. What is the maximum length of the new sequence?,8. Remember that 1 000 cmof water weighs 1 kg During a rain shower, 10 mm of rain fell on a rec- tangular soccer field with dimensions 100 m by 50 m. The mass of rain that fell on the field was (A)0.5 ton (B)5 kg (C)50 ton (D)50 kg (E)5 ton,答案： 1. 2 2. 47 3. D 4. 6 5. A 6. 330 7. 217 8. C,
