天津师范大学考试试卷2012 —2013 学年第二 学期期末考试试卷（B 卷）科目：小学数学双语教学学院：初等教育学院 专业：系选修课一、 填空题（英汉互译）:（每空1分，本大题共20分）1.diameter ____________ Algebra ____________ 曲线 ____________ 线段 ____________2.周角 ____________ equation ____________ 三角形 ____________ Isosceles triangle3.denominator ____________ 边 ____________ angle ____________ 锐角4.平角____________ 双语教学 ____________ 长方形 ____________ 5.折扣 ____________ 利润率 ____________ 标价____________ decimal ____________二、单项选择题:在每小题的备选答案中选出一个正确答案，并将正确答案的代（每小题 3分，本大题共30分）Three girls A, B and C run in a 100 m race. When A finishes,B is 10 m behind A and when B finishesC is 20 m behind B. Howfar in metres was C from A when A finished?(Let’s assume all the athletes run at a constant speed)A. 25B. 27C. 28D. 302. Mpho, Barry, Sipho, Erica and Fatima are sitting on a parkbench.Mpho is not sitting on the far right. Barry is not sitting onthe far left.Sipho is not sitting at either end. Erica is sitting to the rightof Barry,but not necessarily next to him. Fatima is not sitting next toSipho.Sipho is not sitting next to Barry.Who is sitting at the far right?A. BarryB. SiphoC. EricaD. Fatima3.The fraction31113311113333++++++++can be wrritten inthe formnmwhere the greatest common divisor of m and n is 1, Find m +n .A. 300B. 310C. 320D. 3304.Of the 28 T –shirts in a drawer, six are red, five are blue, and the rest arewhite. If Bob selects T –shirts at random whilst packing for a holiday, what is the least number he must remove from the drawer to be sure that he has three T –shirts of the same colour?A. 6B. 7C. 8D. 95.In how many different ways can the seven empty circles in the diagram on the right be filled in with the numbers 2 through 8 such that each number is used once, and each number is either greater than both its neighbors, or less than both its neighbors. Answer ：A.270B.272C.274D.2766. A man cycled 30 km from A and B at a uniform speed. If he hadincreased his speed by 3 km/h, he would have arrived at B halfan hour earlier. Find his original speed.A.9km/hB.12km/hC.15km/hD.18km/h7. Given a two-digit number, its tens digit is greater than itsunits digit by 1.If the sum of the squares of the digits issmaller than the number itself by 13, find the number.A.53B.54C.55D.568. The figure as shown is made up of three squares of sides 3 cm,5 cm and 7 cm respectively. Find the area ofthe shaded triangle.A. 8B. 8.5C. 9D. 9.59. At a local village gala, the entire population turned up, 500 people. Theevent raised £3,000. Tickets were priced as follows: £7.48 per man, £7.12per woman and £0.45 per child. How many children were there?A. 258B. 259C. 260D. 26110. The owner of a house wants to fence around a rectangular pasturein front of his house。

One side of the rectangular pasture isbounded by the wall of the house and the other three sides areto be fenced. If the total length of fence is 120m,find thelargest possible area of the rectangular pasture fenced.A. 1500m2B. 1800m2C. 2000m2D. 2400m2分，本大题共30分）1. Did you know? In the decimal number system (base 10) tendifferent digits, 0 to 9, are used to write all the numbers.In the binary number system (base 2) two different digits are used, i.e. 0 and 1. Please find the valid number in the octal number system (base 8)which equals 10011011 in the binary number system.The answer_______________2.A spy had to send the 4-digit code abcd to headquarters. For securityreasons, he sent instead the 9 separate 4-digit codes shown. In each of the 9 codes, at least one of the digits a, b, c, and d occurs in its correct position.What is the value of abcd?Answer：3.If a and b are integers, 26⊗5=0, 36⊗7=2, 24⊗7=8,and then 343⊗9 is equal to_____.4. Two numbers are in the ratio 2 : 3. When 4 is added to each numberthe ratio changes to 8: 11.The sum of the two original numbers is_______.5. Find the sum of all the integers N > 1 with the properties that the eachprime factor of N is either 2, 3, 5 or 7, and N is not divisible by any perfect cube greater than 1.Answer：6. In how many ways can one arrange the numbers 21, 31, 41, 51, 61, 71 and81 such that the sum of every four consecutive numbers is divisible by 3?Answer：7. Saul plays a video game in which he scores 4 for a hit and lost6 for a miss. After 20 rounds his score is 30. The number oftimes he has missed is____.8. A triangle is partitioned into threetriangles and a quadrilateral by drawingtwo lines from vertices to their oppositesides. The areas of the three triangles are3, 7 and 7, as shown. What is the area ofthe shaded quadrilateral?Answer ：9. The areas of the faces of a rectangulabox are 84 cm2 , 70 cm2and30 cm2.The volume of the box in cm3 is____.10. 9、You have 5 weights: 1 kg, 3 kg ,9 kg ,27kg and 81kg as wellas an equal arm balance, as shown. How many different weight objects can you weigh with these five?[Remember the weights may be placed on either side]The answer:______________________:（每小题2 分，本大题共20分）1. 这些需要我们两课时才能掌握。