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1、。MathematicsPart : Questions 1 to 10, 10 marks each1. At the right is shown a 44 grid. We wish to fill in the grid such thateach row, each column, and each 22 square outlined by the thick linescontains the digits 1 through 4. Some grids have already been filled in.Find the number of ways we can comp
2、lete the rest of the grid.Answer：2.The areas of the faces of a cuboid are 84 cm2 , 70 cm 2 and 30 cmcuboid in cm3 .12342 . Find the volume of theAnswer：3. The fraction3can be wrritten in the formn3where the greatest13m33113311311333common divisor ofm andn is 1, Find m + n.Answer ：4.Find the sum of a
3、ll the integersN 1 with the properties that the each prime factor ofN iseither 2, 3, 5 or 7, andN is not divisible by any perfect cube greater than 1.Answer：-可编辑修改 -。5. A large fresh water reservoir has two types of drainage system, small pipes and large pipes. 6 large pipes, on their own, can drain
4、 the reservoir in 12 hours. 3 large pipes and 9 small pipes,at the same time, can drain the reservoir in 8 hours. How long will 5 small pipes, on their own,take to drain the reservoir?Answer：minutes6. At a local village gala, the entire population turned up, 500 people. The event raisedTickets were
5、priced as follows:7.48 per man,7.12 per woman and0.45 per child. How many children were there?Answer：3,000.P U R P L EC O M E T+ M E E T A A A A A A7. Each of the distinct letters in the following addition problem128represents a different digit. If A=4, find the numberrepresented by the word“MEET ”.
6、87Answer：128. Let two 8 12 rectangles share a common corner and overlap. The distance from the bottom right corner of one rectangle to the intersection point along the right edge of that rectangleis 7. What is the area of the shaded region? Answer ：9. A spy had to send the 4-digit code abcd to headq
7、uarters. For security reasons, he sent instead the 9 separate 4-digit codes shown. In each of the-可编辑修改 -。9 codes, at least one of the digitsa, b, c, and d occurs in its correct position. What is the valueofabcd ?Answer：10. In how many ways can one arrange the numbers 21, 31, 41, 51, 61, 71 and 81 s
8、uch that the sum of every four consecutive numbers is divisible by 3?Answer ：Part : Questions 11 to 14, 20 marks each11.Town A and townB are connected by a highway, with a service station at the midpoint. Mikeand Sam start fromA toB at the same time. When Mike reaches the service station, Sam is16 k
9、m behind. Mike reduces speed by 25% after he passes through the service station. WhenSam reaches the service station, Mike is 15 km ahead of Sam. Whats the distance betweenAand B?Answer：AD12.Given:ABCDisatrapezoid,AD BC,AD :BC=1:2,FOS AOF : S DOE 1:3 ,S BEF24cm 2 , Find the area ofAOF EAnswer：BC13.
10、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-可编辑修改 -。number is used once, and each number is either greater than both its neighbors, or less thanboth its neighbors.Answer：14. How many rectangles are there in the diagramon the right such that thesumofthe1234numbers within the rectangle is a multiple of 4?5678Answer ：910111213141516题号1234567891011121314答案24203108012925992254832144160627228616-可编辑修改 -。THANKS !致力为企业和个人提供合同协议，策划案计划书，学习课件等等打造全网一站式需求欢迎您的下载，资料仅供参考-可编辑修改 -