Grade 10 Fractions Word Problems and Equations Worksheet

Mathematics
10
10 questions
~20 mins
0 views0 downloads

About This Worksheet

This medium level Number and Operations worksheet is designed for grade 10 to develop key mathematical skills. It includes 20 engaging problems covering essential concepts in Number and Operations. Perfect for classroom practice, homework, or assessment preparation. This worksheet helps students build confidence and proficiency in mathematics through structured practice with clear solutions provided.

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Grade 10 Fractions Word Problems and Equations Worksheet

Subject: MathematicsGrade: 10
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Grade 10 Fractions Word Problems and Equations Worksheet

Mathematics | Grade 10
Instructions: Read each question carefully. For word problems, write your answer clearly and show all your work in the provided grid space. For equation-solving problems, show each step of your solution process. Use the grid spaces for calculations when needed. Manage your time wisely; aim to complete all questions within 30 minutes.
A

Fraction Operations in Real-World Contexts

Apply your knowledge of fractions to solve word problems based on everyday scenarios.
1.
A recipe calls for 3/4 cup of sugar. If you want to make half of the recipe, how much sugar will you need?
[3 marks]
2.
Jane traveled 5/8 of a mile on Monday and 3/8 of a mile on Tuesday. How far did she travel in total?
[3 marks]
3.
A factory produces 2/3 of a ton of product each day. How much does it produce in 4 days?
[3 marks]
4.
If a car consumes 7/10 of a gallon of fuel per mile, how much fuel will it use to travel 15 miles?
[3 marks]
5.
A student scored 3/4 on her math test and 2/3 on her science test. What is her average score?
[3 marks]
6.
An athlete ran 5/6 of a mile each day for a week. How many miles did she run in total?
[3 marks]
7.
A water tank is 3/4 full. If it leaks 1/8 of its volume, how much water remains?
[3 marks]
8.
A car's tank is 5/6 full. After driving, it uses 2/3 of the fuel. How much fuel is left?
[3 marks]
9.
A container is filled with 7/8 liters of juice. If you pour out 3/8 liters, how much juice remains?
[3 marks]
10.
A cyclist pedals 2/5 of a mile every day. How many miles will she pedal in 10 days?
[3 marks]
B

Fraction Equation Solving

Solve the following equations involving fractions. Show all your work.
1.
Solve for x: (1/2) x + 3/4 = 1
[3 marks]
2.
Solve for y: 3/4 y - 1/2 = 1/4
[3 marks]
3.
Solve for z: 2/3 z + 1/3 = 5/6
[3 marks]
4.
Solve for x: 5/8 x - 1/4 = 3/8
[3 marks]
5.
Solve for y: (2/5) y + 1/5 = 3/5
[3 marks]

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Details

Created
4/18/2025
Updated
12/29/2025
Type
worksheet