我想問7條數學問題(中一數學)

1.There are 36 pears and 54 apples.When they are distributed evenly to a class of students,each student will get the same numbers of pears and apples.Find the maximum number of student in this class.How many fruits will each student get?
有36個梨和54個蘋果。若平均分給一班學生，每個學生可得相同數目的梨和蘋果。學生人數最多有多少人? 每個學生可分到多少生果?
此題可以 HCF最大公因數作答。學生人數共有18人，每個學生可得2個梨和3個蘋果。 There are 18 students. Each student can have 2 pears and 3 apples.

2.Betty goes to the restaurant every 17 days.Suki goes to the same restaurant every 36 days.Today they meet at the restaurant,then after how many days will they meet again.
Betty 每17日會到餐廳1次。Suki則每36日到餐廳1次。今天她們於餐廳相遇，問她們多少天後會再次相遇。
此題可以 LCM最小公倍數作答。Betty 和 Suki 將於612天後再次相遇。Betty and Suki will meet again after 612 days.

3.The size of a piece of rectangular wood is 63 cm in lenght and 36 cm in width.If it has to be cut into small squares of the same size without any waste,what is the longest lenght of each side of a small square?
長方形木塊的長度為63厘米，闊度為36厘米。若將木塊切割為同樣大小的正方形，且沒有餘下任何木料，正方形的邊長最長為多少?
HCF 正方形的邊長為3厘米. The longest length of each side of a small square is 3cm.

2008-07-24 00:06:56 補充：
4.The size of each tile is 65 cm in lenght and 26cm in width.If they are used to cover a square wall,what is the shortest lenght of each side of the wall?
瓷磚的長度為65厘米，闊度為26厘米。如要舖好一幅正方形的牆，牆的邊長最短為多少?
LCM 牆的邊長最短為1690厘米。The shortest length of each side of the wall is 1690 cm.

2008-07-24 00:10:38 補充：
5.24 apples,30 oranges and 36 pears are divided into several parts such that each part contains equal amount of each kind of fruit.
(a)What is the maximum number of parts that can be divided?
(b)If Peter get one part of the fruit in(a),how many fruits can he get?

2008-07-24 00:11:01 補充：
把24個蘋果，30個橙和36個梨分為數份，每份各種生果的數量一樣
a) 最多可以分多少份
b) Peter如從a)中取得一份生果，他可得到多少個生果?
HCF a) 那些生果最多可以分為6份. The fruits can be divided into 6 parts
b) Peter 可取得15個生果. Peter can get 15 fruits. (4 apples, 5 orange and 6 pears)

2008-07-24 00:11:15 補充：
6.Peter goes swimming every 12 days.John goes swimming every 18 days.If they meet at the swimming pool on 3rd July,when will they meet again at the pool?
Peter 每隔12日去游泳。John則每18日去游泳。如果他們在7月3日於泳池相遇，那他們下次會在那天相遇?
LCM Peter 和John將於8月8日相遇。 Peter and John will meet again on 8 August. (36 days later)

2008-07-24 00:11:29 補充：
7.The size of a stamp is 30mm x25mm.Find the minimum numbers of stamps that are required to make a square sheet of stamps.
郵票的長度和闊度分別為30厘米和25厘米。如果要貼滿1張正方形的紙，最少要用多少個郵票?
LCM 最少要用150個郵票。The minimum numbers of stamps that are required to make a square sheet of stamps is 150.