Worksheet: Properties of Rational Numbers and Real-Life Applications
Level: Apply and Analyse
Instructions: Solve the following problems based on the properties of rational numbers and their real-life applications. Show all your work and write your answers in simplest form.
- Find two rational numbers between 1/2 and 3/4.
- Find two rational numbers between -2/3 and -1/2.
- Find two rational numbers between 5/6 and 7/8.
- Find two rational numbers between -3/4 and -1/2.
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Find two rational numbers between 2/5 and 3/7.
- A recipe calls for 3/4 cup of sugar. If you want to make half the recipe, how much sugar will you need?
- A car travels at a speed of 60 miles per hour. How far will it travel in 2.5 hours?
- A store is having a sale with 20% off all items. If a shirt originally costs $25, what is the sale price?
- A rectangular garden has a length of 12 feet and a width of 8 feet. What is the area of the garden?
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A recipe calls for 2/3 cup of flour. If you want to make 3 times the recipe, how much flour will you need?
- A pizza is divided into 8 equal slices. If you eat 3/8 of the pizza, how many slices are left?
- A store sells a shirt for $35, making a profit of 20%. What was the cost price of the shirt?
- A rectangular swimming pool has a length of 20 meters and a width of 10 meters. What is the perimeter of the pool?
- A recipe calls for 1/2 teaspoon of salt. If you want to make half the recipe, how much salt will you need?
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A car travels at a speed of 50 kilometers per hour. How far will it travel in 1.5 hours?
- A recipe calls for 3/4 cup of milk. If you want to make 1/3 of the recipe, how much milk will you need?
- A store is having a sale with 30% off all items. If a dress originally costs $50, what is the sale price?
- A rectangular garden has a length of 15 feet and a width of 10 feet. What is the perimeter of the garden?
- A pizza is divided into 10 equal slices. If you eat 2/5 of the pizza, how many slices are left?
- A store sells a shirt for $40, making a profit of 25%. What was the cost price of the shirt?
Note: The questions above require students to apply their knowledge of rational numbers, perform operations on rational numbers, and solve real-life problems involving rational numbers.
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