1、2104 书人春季六年级英语数学题冲外模拟题Part I: Questions 1 to 10, 10 marks each 1. At the right is shown a 4 grid. We wish to fill in the grid such that each row, each column, and each 2 square outlined by the thick lines contains the digits 1 through 4 . Some grids have already been filled in. Find the number of wa
2、ys we can complete the rest of the grid.Answer: 2. The areas of the faces of a cuboid are 84 ,70 and 30 .Find the 2cm22cmvolume of the cuboid in .3cmAnswer: 3. The fraction can be written in the form mnwhere the greatest common divisor of m and n is 1, Find .nmAnswer: 4. Find the number of all the i
3、nteger N1 with the properties that the each prime factor of N is either 2,3,5 or 7, and N is not divisible by any perfect cube greater than 1.Answer: 5. A large fresh water reservoir has two types of drainage system, small pipes. 6 large pipes, on their own, can drain the reservoir in 12 hours. 3 la
4、rge 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 raised 3,000.Tickets were priced as follows: 7.4
5、8 per man, 7.12 per woman and 0.45 per child. How many children were there?Answer: 7. Each of the distinct letters in the following addition problem represents a different digit. If A=4, fin the number represented by the word “MEET”.Answer: 8. Let two rectangles share a common corner and overlap. Th
6、e 128distance from the bottom right corner of one rectangle to the intersection point along the right edge of that rectangle is 7. What is the area of the shaded region?Answer: 9. A spy had to send the 4-digit code to headquarters. For security abcdreasons, he sent instead the 9 separate 4-digit cod
7、es shown. In each of the 9 codes, at least one of the digits and occurs in its correct position. ,cWhat is the value of ?abcdAnswer: 21864351452151275916638469248253851710. In how many ways can one arrange the numbers 21,31,41,51,61,71and 81 such that the sum of every four consecutive numbers is div
8、isible by 3?Answer: Part:Questions 11 to 14, 20 marks each11. Town A and town B are connected by a highway, with a service station at the midpoint. Mike and Sam start from A to B at the same time. When Mike reaches the service station, Sam is 16 km behind. Mike reduces speed by 25% after he passes t
9、hrough the service station. When Sam reaches the service station, Mike is 15 km ahead of Sam. Whats the distance between A and B?Answer: 12. Given: ABCD is a trapezoid, AD/BC, AD: BC=1:2, ,3:1:DOEAFS, Find the area of .24cmSBEF AOFAnswer: OA DB CFE13. In how many different ways can the seven empty c
10、ircles 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: 14. How many rectangles are there in the diagram on the right such that the sum of the numbers within the rectangle is a multiple of 4?Answer: 151 273 410612813914 151116
