升中一數學功課難解題目

1. There are k bag of chocolates and each bag has p pieces of chocolates . If 3 pieces of chocolate are eaten , how many pieces of chocolates remain?

2. The profits made by selling a hamburger and a can of soft drink are $x and $y respectively . If 28 hamburgers and 20 cans of soft drink were sold yesterday , what was the total profit made ?

3. Gordon has a rectangular farm of length 7.8 m and width 4.2 m . He use 12 (平方米)of the farm to plant some sunflowers and then divide the remaining area into 6 equal parts .
(a) Find the total area of the farm .
(b) Find the area of each of the remaining parts .

4. Mary has a long string . She first cut 7 cm from a string to make a knot , then she she cuts the remaining part evenly into three shorter strings . Given that each each smaller partis 28 cm long .
(a) Set up an equation for the length of the original string .
(b) Hence , find the length of the original string .

5. The distance between city A and city B is 100 km . A car travels from city A to city B at a constant speed of x km /h and returns at a constant speed of y km/h . Express the time taken for the whole journey in x and y .

6. Peter has p $5 coins and q $1 coins in his wallet , while Susan has p $2 coins q $0.5 coins in her purse .
(a) Express the amount each of them has in terms of p and q .
(b) Hence find the total amount they have in terms of p and q .

7. The figure shows a trapezium with upper base a cm , lower base b cm and height h cm and height h cm .
(a) Express the area of the trapezium in terms of a , b and h .
(b) If a = 5 ,b = 11 and h =5.5 , find the area of the trapezium .