1、2104書人春季六年級英語數學題沖外模擬題Part I: Questions 1 to 10, 10 marks each 1. At the right is shown a grid. We wish to fill in the grid such that each row, each column, and each square outlined by the thick lines contains the digits 1 through 4 . Some grids have already been filled in. Find the number of ways we

2、 can complete the rest of the grid.Answer: 2. The areas of the faces of a cuboid are 84,70 and 30.Find the volume of the cuboid in .Answer: 3. The fraction can be written in the form where the greatest common divisor of m and n is 1, Find .Answer: 4. Find the number of all the integer N>1 with th

3、e 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 large pipes and 9

4、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: 7.48 per man, 7.12

5、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. The distance from

6、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: 435121869. A spy had to send the 4-digit code to headquarters. For security reasons, he sent instead the 9 separate 4-digit codes shown. In ea

7、ch of the 9 codes, at least one of the digits and occurs in its correct position. What is the value of?4521Answer: 51275916638469248253851710. 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 divisible by 3?Answer: Part:Quest

8、ions 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 through the service station. Wh

9、en 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, Find the area of.Answer: 13. 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.A