Maths Questions Year 8: 50 Problems With Answers 2024

Year 8 Maths is a crucial milestone in your child’s learning journey. At this stage, students dive deeper into core mathematical concepts such as algebra, geometry, probability, and statistics. According to the Australian Curriculum, Assessment and Reporting Authority (ACARA), students are expected to enhance their critical thinking and problem-solving abilities by tackling more complex problems. This rigorous year helps lay the foundation for higher-level mathematics and is a key to future success.

Whether preparing for exams or building confidence in everyday maths, practice is essential. To support your child, we’ve curated 50 Year 8 Maths practice questions covering the most important topics, with answers provided at the end. By solving these questions, students can sharpen their skills and assess their understanding. If your child needs more structured guidance, check out our Year 8 Maths Curriculum blog for a complete breakdown of what they’ll be learning this year.

50 Year 8 Maths Practice Questions and Answers for 2024

Getting your child comfortable with Year 8 maths questions is crucial to their academic growth. At this stage, students are transitioning from basic arithmetic to more complex mathematical concepts such as algebra, geometry, and probability. Mastery of Year 8 maths is essential not only for academic success but also for developing critical thinking and problem-solving skills that will serve them in higher education and beyond.

In Year 8, students dive into a wide array of topics, building on what they’ve learned in previous years. They’ll explore Number and Algebra, Measurement and Geometry, and Probability and Statistics, sharpening their ability to analyse data, understand mathematical relationships, and solve real-world problems. 

Below, we’ve compiled 60 carefully selected problems covering key areas of the 2024 curriculum. These questions are designed to help students grasp the most essential topics and prepare them for success in exams and future studies.

Let’s get started!

Here are the 50 Practice Problems With Answers for Year 8 Maths:

Number and Algebra

1. Simplify the expression: 4x – 2(3x – 5) = ?
A) 2x – 10
B) -2x + 10
C) 2x + 10
D) -2x – 10

2. Solve for y: 2y + 3 = 7
A) 1
B) 2
C) 3
D) 4

3. If 3(x – 2) = 12, what is the value of x?
A) 6
B) 8
C) 4
D) 2

4. Factorise the expression: x² – 9x
A) x(x + 9)
B) (x – 9)(x + 9)
C) x(x – 9)
D) x – 9

5. If f(x) = 2x + 5, what is f(3)?
A) 11
B) 9
C) 8
D) 13

Number and Place Value

1. What is the place value of 4 in the number 47,236?
A) 4
B) 400
C) 4,000
D) 40,000

2. Which number is divisible by 3?
A) 124
B) 246
C) 365
D) 521

3. Round 5,478 to the nearest hundred.
A) 5,400
B) 5,470
C) 5,500
D) 5,480

4. What is 3.52 rounded to one decimal place?
A) 3.5
B) 3.6
C) 3.4
D) 3.2

5. Express 0.07 as a percentage.
A) 0.7%
B) 7%
C) 70%
D) 0.07%

Real Numbers

1. What is the square root of 169?
A) 11
B) 12
C) 13
D) 14

2. Convert 2.5 to a fraction.
A) 1/2
B) 5/2
C) 3/4
D) 7/3

3. What is 20% of 150?
A) 30
B) 20
C) 40
D) 50

4. Which number is an irrational number?
A) 4
B) 3.5
C) π
D) 7/2

5. Express 4/5 as a decimal.
A) 0.4
B) 0.5
C) 0.75
D) 0.8

Money and Financial Mathematics

1. If a product originally costs $200 and is on sale for 25% off, what is the sale price?
A) $150
B) $160
C) $175
D) $180

2. How much is 15% of $80?
A) $10
B) $12
C) $14
D) $16

3. If an item is discounted by 25%, and the original price is $120, what is the sale price?
A) $90
B) $95
C) $100
D) $85

4. What is the interest earned on $500 at an annual interest rate of 4% after 3 years?
A) $40
B) $60
C) $80
D) $100

5. A car loan of $10,000 is paid back over 5 years at a fixed interest rate of 6%. What is the total interest paid?
A) $500
B) $600
C) $1,500
D) $3,000

Linear and Non-linear Relationships

1. What is the gradient of the line passing through the points (2, 3) and (4, 7)?
A) 1
B) 2
C) 3
D) 4

2. Solve for x: 2x + 3 = 11
A) 3
B) 4
C) 5
D) 6

3. Which of the following is a quadratic equation?
A) y = 2x + 3
B) y = x² + 3x + 2
C) y = 4x + 5
D) y = x/2 + 1

4. If the line y = mx + c passes through the origin, what is the value of c?
A) 0
B) 1
C) 2
D) -1

5. What is the solution to the inequality 2x – 4 > 6?
A) x > 5
B) x > 6
C) x > 7
D) x > 4

Measurement and Geometry

1. What is the area of a rectangle with a length of 10 cm and a width of 5 cm?
A) 15 cm²
B) 25 cm²
C) 50 cm²
D) 100 cm²

2. Calculate the volume of a cube with a side length of 4 cm.
A) 16 cm³
B) 32 cm³
C) 64 cm³
D) 128 cm³

3. What is the circumference of a circle with a radius of 7 cm?
A) 14 cm
B) 22 cm
C) 44 cm
D) 28 cm

4. Find the area of a triangle with a base of 8 cm and a height of 5 cm.
A) 20 cm²
B) 30 cm²
C) 40 cm²
D) 10 cm²

5. If the length of a rectangle is doubled and the width remains the same, how does the area change?
A) It doubles
B) It triples
C) It remains the same
D) It quadruples

Using Units of Measurement

1. Convert 7500 m to kilometres.
A) 0.75 km
B) 7.5 km
C) 75 km
D) 750 km

2. How many millimetres are in 5.5 metres?
A) 550 mm
B) 5500 mm
C) 55000 mm
D) 5.5 mm

3. If a car travels 180 km in 3 hours, what is its average speed?
A) 30 km/h
B) 40 km/h
C) 50 km/h
D) 60 km/h

4. Convert 3.5 hours into minutes.
A) 180 minutes
B) 200 minutes
C) 210 minutes
D) 220 minutes

5. A tank holds 250 litres of water. How many millilitres is this?
A) 2500 ml
B) 25000 ml
C) 250000 ml
D) 2500000 ml

Geometric Reasoning

1. What is the sum of the interior angles of a quadrilateral?
A) 180°
B) 270°
C) 360°
D) 450°

2. A triangle has angles of 45° and 55°. What is the measure of the third angle?
A) 80°
B) 70°
C) 60°
D) 50°

3. Find the missing angle in a right triangle if one of the angles is 30°.
A) 30°
B) 45°
C) 60°
D) 90°

4. What is the measure of each angle in an equilateral triangle?
A) 30°
B) 60°
C) 90°
D) 120°

5. Two angles are supplementary, and one angle is 65°. What is the measure of the other angle?
A) 45°
B) 75°
C) 115°
D) 125°

Probability and Statistics

1. What is the probability of rolling a 3 on a fair six-sided die?
A) 1/3
B) 1/6
C) 1/2
D) 2/3

2. A bag contains 3 red, 4 blue, and 5 green balls. What is the probability of drawing a blue ball?
A) 1/4
B) 2/3
C) 1/3
D) 1/2

3. What is the mode of the following set of numbers: 3, 7, 7, 9, 10?
A) 3
B) 7
C) 9
D) 10

4. If a coin is flipped twice, what is the probability of getting two heads?
A) 1/4
B) 1/2
C) 3/4
D) 1/8

5. In a class of 30 students, 18 are girls. What is the probability that a randomly selected student is a boy?
A) 1/2
B) 2/3
C) 3/5
D) 7/15

Data Collection and Analysis

1. A survey was conducted in a school to find out students’ favourite subjects. The following results were recorded:
Maths: 30 students English: 20 students
Science: 25 students History: 15 students
What percentage of students choose Maths as their favourite subject?
A) 20%
B) 30%
C) 35%
D) 40%

2. A group of students collected data on the number of hours they spent studying each week:
10, 8, 12, 9, 11, 10, 8, 9
What is the mean (average) number of hours spent studying per week?
A) 8.5 hours
B) 9.5 hours
C) 10 hours
D) 9 hours

3. A company wants to find out how many customers prefer a new product over an older version. They survey a random sample of 100 people, and 60 people prefer the new product. What is the proportion of customers who prefer the new product?
A) 0.5
B) 0.6
C) 0.4
D) 0.3

4. A class records the daily temperatures (in degrees Celsius) over a week as follows:
Monday: 18°C
Friday: 20°C
Tuesday: 20°C
Saturday: 18°C
Wednesday: 22°C
Sunday: 22°C
Thursday: 24°C

What is the mode of the temperature data?
A) 18°C
B) 20°C
C) 22°C
D) 24°C

5. A bar chart displays the favourite sports of students. 25 students chose soccer, 15 chose basketball, and 10 chose tennis. What type of data is represented in this bar chart?
A) Continuous data
B) Categorical data
C) Discrete data
D) Ordinal data

Answer Key:

Number and Algebra
1. B) -2x + 10
2. B) 2
3. A) 6
4. C) x(x – 9)
5. A) 11

Number and Place Value
1. C) 4,000
2. B) 246
3. C) 5,500
4. A) 3.5
5. B) 7%

Real Numbers
1. C) 13
2. B) 5/2
3. A) 30
4. C) π
5. D) 0.8

Money and Financial Mathematics
1. B) $150
2. B) $12
3. A) $90
4. C) $60
5. D) $3000

Linear and Non-linear Relationships
1. B) 2
2. B) 4
3. B) y = x² + 3x + 2
4. A) 0
5. A) x > 5

Measurement and Geometry
1. C) 50 cm²
2. C) 64 cm³
3. C) 44 cm
4. A) 20 cm²
5. A) It doubles

Using Units of Measurement
1. B) 7.5 km
2. B) 5500 mm
3. D) 60 km/h
4. C) 210 minutes
5. C) 250000 ml

Geometric Reasoning
1. C) 360°
2. B) 70°
3. C) 60°
4. B) 60°
5. C) 115°

Probability and Statistics
1. B) 1/6
2. C) 1/3
3. B) 7
4. A) 1/4
5. D) 7/15

Data Collection and Analysis
1. D) 40%
2. B) 9.5 hours
3. B) 0.6
4. C) 22°C
5. B) Categorical data

These questions and answers are designed to challenge your child and build their confidence in solving Year 8 Maths problems. The answers provided will help guide them in understanding the correct approach to each problem.

Need Extra Help? Boost Your Child’s Confidence with Expert Tutoring Services

If your child finds these Year 8 Maths practice questions challenging or if they need extra guidance to build confidence, our experienced tutors are here to help. With tailored tutoring sessions focusing on key areas, Dr. Study Tutoring will help your child develop the skills they need to succeed. Learn more about our services here at Dr. Study Tutoring.

Our services focus on key areas to ensure your child’s success:

• Customised Tutoring Sessions: Our experienced tutors provide one-on-one to one-on-four support focusing on areas where your child needs the most help.
• Personalised Learning Plans: Each student receives a personalised learning plan that targets their specific needs, ensuring they gain the skills and confidence required to succeed.
• Flexible Scheduling: We offer flexible scheduling options to fit your family’s routine, making it easier for your child to get the help they need without disrupting their other activities.
• Comprehensive Support: Our Maths tutoring covers a wide range of maths topics, ensuring your child builds a strong foundation and stays ahead in their studies.
• Interactive Environment: We use engaging and interactive methods to keep your child motivated and make learning maths a positive experience.

By choosing Dr. Study Tutoring, you can be confident that your child will not only overcome their challenges in Year 8 Maths but will also be well-prepared for future academic success.

Frequently Asked Questions (FAQs)

Let’s go over some frequently asked questions by parents on Year 8 Maths Questions:

Conclusion

Year 8 Maths is a crucial stage that lays the groundwork for more advanced mathematical studies. Practising with these 50 questions will help students deepen their understanding and build confidence in their abilities. Consistent practice is essential for success in mathematics.

Mastering Year 8 Maths sets the stage for future academic achievement. By practising regularly and addressing areas of weakness early, your child will be better prepared for more advanced concepts. If you’re seeking additional support, our tutoring services offer personalised assistance tailored to your child’s individual needs.

Ready to take the next step? Book a free online assessment with Dr. Study Tutoring today and discover how our expert tutors can help your child achieve their full potential in Year 8 Maths.

Author

Dr. Olga Abeysekera

Dr Olga Abeysekera, founder of Dr Study Tutoring and the Dr Progress Group Pty Ltd, is passionate about transforming education through innovative and personalised tutoring. With a PhD in Management from Monash University and a background in both academic research and private tutoring, she has a deep commitment to helping students excel.
Her holistic approach at Dr Study Tutoring emphasises not only academic success but also the development of lifelong skills, ensuring that each student receives the best education and support possible. Dr Olga’s dedication to continuous improvement drives her mission to inspire a love for learning that lasts a lifetime.

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