Pre-Secondary One Hong Kong Attainment Test · Mathematics

Simple algebraic word problems: Practice Questions

5 multiple-choice questions marked as you go, and 3 written questions with worked solutions. All on Simple algebraic word problems.

8 questions14 marksFree, no account

Question 1

1 mark

A rectangular plot has a length that is 3 meters less than four times its width \(w\). If the perimeter of the plot is 54 meters, find the length of the plot.

Question 2

1 mark

The sum of three consecutive even numbers is 114. Find the largest number among them.

Question 3

1 mark

A father is 28 years older than his son. In 5 years, the father's age will be 3 times his son's age. Find the current age of the father.

Question 4

1 mark

A group of students share a box of candies. If each student gets 12 candies, there are 5 candies left. Let \(s\) be the number of students. If there are 89 candies in total, which of the following equations can be used to find the value of \(s\)?

Question 5

1 mark

A farmer has a rectangular garden. The length of the garden is \(L\) metres, and the width is \(5\) metres shorter than the length. If the perimeter of the garden is \(58\) metres, find the length of the garden by setting up an equation.

Question 6

3 marks

A rectangular garden has a length of \(12\) m. If its width is \(w\) m and its perimeter is \(38\) m, set up an equation and find the value of \(w\).

Write your answer out first, then check it against the worked solution.

Question 7

4 marks

The price of a toy car is \(y\) dollars. The price of a toy plane is \(3\) times that of a toy car. If the total cost of \(2\) toy cars and \(1\) toy plane is \(110\) dollars, find the price of a toy car by using an equation.

Write your answer out first, then check it against the worked solution.

Question 8

2 marks

A baker had some flour. After using \(15\) kg to make bread and buying another \(24\) kg, he has \(80\) kg of flour now. Let \(x\) be the initial amount of flour in kg. Set up an equation and find the value of \(x\).

Write your answer out first, then check it against the worked solution.

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