Is your child ready to confidently take on the demands of Year 4 Maths?
As a parent, you want to make sure they succeed in their educational endeavours and stay up-to-date with the curriculum. Maths in Year 4 presents a lot of challenges, ranging from division and multiplication to fractions and decimals.
Each of these areas introduces new skills and concepts that require both understanding and practice to master. This is a crucial year for your child to lay a solid mathematical foundation to serve them well in school and beyond. However, the sheer volume of material to be covered can easily become overwhelming for your child and you.
How do you make sure they fully understand each concept without making them feel lost or behind? This is where a structured approach becomes essential. By breaking down these complex topics into manageable chunks and providing targeted practice, you can help your child gain the confidence to face any mathematical challenge that arises.
This blog aims to provide you with the tools and insights needed to support your child’s mathematical journey, ensuring they are well-prepared to face any challenge Year 4 Maths presents.
Year 4 Maths Practice Questions with Answers
To ensure that your child is well-prepared and confident in their Year 4 Maths journey, we’ve put together a set of practice questions with answers for each key topic. The purpose of these exercises is to improve competency and strengthen knowledge, which makes learning more interesting and efficient.
Here are multiple-choice questions for each topic designed to strengthen your child’s understanding and boost their confidence in Year 4 Maths.
Number and Place Value
1. What is the value of the digit 4 in the number 245,731?
a) 4
b) 40
c) 4,000
d) 40,000
2. Write the number fifty-six thousand, seven hundred and eighty-four in digits.
a) 56,784
b) 56,874
c) 65,784
d) 57,684
3. Which is greater: 234,567 or 234,576? Use the greater than (>) or less than (<) symbol to compare.
a) 234,567 > 234,576
b) 234,576 > 234,567
c) 234,567 < 234,576
d) b and c
4. Round the number 875,369 to the nearest ten thousand.
a) 870,000
b) 875,000
c) 880,000
d) 870,300
5. Write the number 509,134 in expanded form.
a) 500,000 + 9,000 + 100 + 30 + 4
b) 500,000 + 900 + 134
c) 509,000 + 134
d) 500,000 + 9,000 + 1,000 + 34
Addition
1. Add 45,789 and 23,456.
a) 69,245
b) 69,425
c) 68,235
d) 69,345
2. A company earned $123,456 in January and $234,789 in February. How much money did they earn in total?
a) $357,245
b) $358,245
c) $358,345
d) $357,345
3. Find the sum of 156,789, 234,567, and 345,678.
a) 736,034
b) 736,034
c) 736,034
d) 736,034
4. Emily has 89,456 points in a game. She scored 12,876 more points in the next level. How many points does she have now?
a) 102,332
b) 102,452
c) 102,332
d) 102,452
5. Tom bought 12,345 candies, received 23,567 more as a gift, and later found 34,123 more in his drawer. How many candies does Tom have now?
a) 70,035
b) 70,035
c) 69,945
d) 69,945
Subtraction
1. Liam had 123,567 marbles. He gave 45,876 marbles to his friend. How many marbles does Liam have left?
a) 77,691
b) 77,691
c) 77,691
d) 77,691
2. A factory produced 345,678 toys in a year. It sold 234,567 toys. How many toys are left in the factory?
a) 111,111
b) 111,211
c) 111,111
d) 111,211
3. Sarah had 200,345 pencils. She gave 123,456 of them to her classmates. What is the difference in the number of pencils Sarah had before and after?
a) 76,889
b) 76,889
c) 76,889
d) 76,889
4. There were 150,000 seats in a stadium. After the match, 123,567 seats were occupied. How many seats were left unoccupied?
a) 26,433
b) 26,433
c) 26,433
d) 26,433
5. You have 89,123 candies and give away 45,678 to your friends. How many candies do you have left?
a) 43,445
b) 43,445
c) 43,445
d) 43,445
Is your child struggling with Maths? Let us help.
Fractions
1. Sophie has 5/6 of a pizza. She eats 2/6 of it and then shares the remaining pizza equally with her friend. What fraction of the whole pizza does each of them get?
a) 1/4
b) 3/6 (or 1/2)
c) 2/6
d) 4/6
2. A cake is cut into 12 equal slices. If you eat 1/4 of the cake, how many slices did you eat?
a) 3 slices
b) 6 slices
c) 4 slices
d) 2 slices
3. Jack has 30 marbles. He gives 2/5 of them to his friend and 1/3 of the remaining marbles to his sister. How many marbles does Jack have left?
a) 6 marbles
b) 12 marbles
c) 18 marbles
d) 8 marbles
4. You have 20 apples. You give 1/5 of them to your classmates and then use 3/4 of the remaining apples to make a pie. How many apples did you use for the pie?
a) 3 apples
b) 12 apples
c) 15 apples
d) 9 apples
5. Emily drank 3/8 of a bottle of juice in the morning and 2/8 of the bottle in the afternoon. How much of the bottle is left?
a) 1/8
b) 2/8
c) 3/8
d) 4/8 (or 1/2)
Decimals
1. Convert the fraction 3/10 into a decimal.
a) 0.1
b) 0.3
c) 0.5
d) 0.2
2. Round 4.678 to the nearest tenth.
a) 4.7
b) 4.6
c) 4.8
d) 4.5
3. You have $2.34 in your pocket and find another $1.56. How much money do you have in total?
a) $3.80
b) $3.60
c) $3.90
d) $3.70
4. You have 9.2 litres of water and use 5.6 litres for your plants. How much water do you have left?
a) 3.4
b) 3.6
c) 4.4
d) 4.6
5. Which is greater: 0.75 or 0.57?
a) 0.75
b) 0.57
c) They are equal
d) None of the above
Multiplication
1. Sarah has 5 boxes of crayons, and each box contains 8 crayons. How many crayons does Sarah have in total?
a) 30
b) 35
c) 40
d) 45
2. If a pack of pencils contains 12 pencils and Tom buys 4 packs, how many pencils does he have?
a) 48
b) 52
c) 44
d) 40
3. A classroom has 7 rows of desks with 6 desks in each row. How many desks are in the classroom?
a) 42
b) 48
c) 36
d) 40
4. Each bag contains 9 apples. If there are 6 bags, how many apples are there altogether?
a) 54
b) 56
c) 58
d) 60
5. If a book costs $5 and Sam buys 8 books, how much does he spend in total?
a) $35
b) $40
c) $45
d) $50
Division
1. John has 24 marbles and wants to share them equally among 6 friends. How many marbles does each friend get?
a) 3
b) 4
c) 5
d) 6
2. A farmer has 72 apples and needs to pack them into boxes with 8 apples each. How many boxes does he need?
a) 8
b) 9
c) 10
d) 12
3. If there are 35 candies and each child gets 5, how many children can receive candies?
a) 5
b) 6
c) 7
d) 8
4. What is 144 divided by 12?
a) 10
b) 11
c) 12
d) 14
5. A baker makes 60 cookies and packs them into bags of 10. How many bags does he use?
a) 5
b) 6
c) 7
d) 8
Estimation and Rounding
1. Round 487 to the nearest hundred.
a) 400
b) 450
c) 500
d) 600
2. Estimate the sum of 734 and 289 by rounding each number to the nearest hundred before adding.
a) 900
b) 1,000
c) 1,100
d) 1,200
3. Round 9,653 to the nearest thousand.
a) 9,000
b) 9,600
c) 10,000
d) 9,500
4. Estimate the product of 47 and 6 by rounding 47 to the nearest ten.
a) 200
b) 240
c) 250
d) 300
5. Round 1,236 to the nearest ten.
a) 1,230
b) 1,240
c) 1,250
d) 1,200
Patterns and Algebra
1. What is the next number in the sequence: 5, 10, 15, 20, __?
a) 22
b) 25
c) 30
d) 35
2. Complete the pattern: 2, 4, 8, 16, __?
a) 20
b) 24
c) 28
d) 32
3. If 3x = 18, what is the value of x?
a) 5
b) 6
c) 7
d) 9
4. What is the missing number in the pattern: 7, 14, 21, __, 35?
a) 24
b) 26
c) 28
d) 30
5. Solve the equation: x + 5 = 12. What is x?
a) 5
b) 6
c) 7
d) 8
Measurement and Geometry
1. How many minutes are there in 3 hours?
a) 120 minutes
b) 150 minutes
c) 180 minutes
d) 240 minutes
2. A rectangle has a length of 12 cm and a width of 5 cm. What is the perimeter of the rectangle?
a) 17 cm
b) 30 cm
c) 34 cm
d) 24 cm
3. What is the area of a square with a side length of 7 cm?
a) 14 cm²
b) 28 cm²
c) 49 cm²
d) 56 cm²
4. If the time is 2:45 PM, what time will it be 2 hours and 30 minutes later?
a) 4:45 PM
b) 5:15 PM
c) 5:45 PM
d) 6:15 PM
5. A triangle has angles of 40°, 50°, and __. What is the missing angle?
a) 60°
b) 70°
c) 80°
d) 90°
Time
1. If a train departs at 9:15 AM and the journey takes 2 hours and 45 minutes, what time will the train arrive?
a) 11:45 AM
b) 11:30 AM
c) 12:00 PM
d) 12:15 PM
2. A movie starts at 6:20 PM and lasts for 1 hour and 50 minutes. What time does the movie end?
a) 8:00 PM
b) 7:50 PM
c) 8:10 PM
d) 8:15 PM
3. If it takes 35 minutes to walk to school and you need to be there by 8:30 AM, what time should you leave home?
a) 7:50 AM
b) 7:55 AM
c) 8:00 AM
d) 8:05 AM
4. A concert starts at 7:45 PM and ends at 10:20 PM. How long does the concert last?
a) 2 hours 35 minutes
b) 2 hours 45 minutes
c) 2 hours 55 minutes
d) 3 hours
5. You start your homework at 4:15 PM and finish it at 5:00 PM. How much time did you spend on your homework?
a) 30 minutes
b) 35 minutes
c) 45 minutes
d) 50 minutes
Angles
1. What is the measure of an angle that forms a straight line?
a) 90°
b) 120°
c) 180°
d) 360°
2. An angle in a triangle measures 60°, and another angle measures 80°. What is the measure of the third angle?
a) 40°
b) 50°
c) 60°
d) 70°
3. What type of angle is 145°?
a) Acute
b) Right
c) Obtuse
d) Reflex
4. If an angle measures 30°, what is the measure of its complementary angle?
a) 50°
b) 60°
c) 70°
d) 90°
5. An angle measures 270°. What type of angle is this?
a) Acute
b) Right
c) Obtuse
d) Reflex
Answer Key
After giving these practice questions a try, check your answers below to see how well you did. Remember, the key to mastering maths is consistent practice and reviewing your mistakes!
Number and Place Value
1. d) 40,000
2. a) 56,784
3. b) 234,576 > 234,567
4. c) 880,000
5. a) 500,000 + 9,000 + 100 + 30 + 4
Addition
a) 69,245
b) $358,245
a) 736,034
b) 102,332
a) 70,035
Subtraction
a) 77,691
a) 111,111
a) 76,889
a) 26,433
a) 43,445
Fractions
a) 1/4
a) 3 slices
b) 12 marbles
b) 12 apples
c) 3/8 of the bottle is left
Decimals
b) 0.3
a) 4.7
c) $3.90
b) 3.6
a) 0.75
Multiplication
c) 40
a) 48
a) 42
a) 54
b) $40
Division
d) 6
b) 9
c) 7
c) 12
b) 6
Estimation and Rounding
c) 500
b) 1,000 (rounded: 700 + 300 = 1,000)
c) 10,000
d) 300 (rounded: 50 x 6 = 300)
b) 1,240
Patterns and Algebra
b) 25
d) 32
b) 6
c) 28
c) 7
Measurement and Geometry
c) 180 minutes
c) 34 cm (Perimeter = 2 × (12 + 5))
c) 49 cm² (Area = side × side = 7 × 7)
c) 5:15 PM
c) 90° (The sum of angles in a triangle is 180°)
Time
d) 12:00 PM
b) 8:10 PM
b) 7:55 AM
a) 2 hours 35 minutes
c) 45 minutes
Angles
c) 180°
b) 40° (The sum of angles in a triangle is 180°)
c) Obtuse (An obtuse angle is greater than 90° but less than 180°)
b) 60° (Complementary angles add up to 90°)
d) Reflex (A reflex angle is greater than 180° but less than 360°)
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Frequently Asked Questions (FAQs)
Let’s go over some frequently asked questions by parents on Year 4 Maths Questions:
1. What topics are covered in these Year 4 Maths practice problems?
The practice questions encompass a wide variety of crucial topics in Year 4 Mathematics. Multiplication, division, fractions, decimals, place value and numbers, estimating and rounding, algebra and patterns, measurement, and geometry are a few of these.
2. How can these practice problems help my child improve in maths?
The purpose of these practice questions is to help your child establish the basic concepts they are learning in Year 4 Maths. By working through these problems, your child can build their confidence and improve their problem-solving skills.
3. How do these practice questions relate to the maths curriculum for Year 4?
The practice questions closely correspond to the Australian education system’s Year 4 Maths curriculum. This ensures that your child is practising the exact concepts they need to master in school. For more in-depth information on the curriculum and how these problems fit into it, you can refer to our detailed Year 4 Mathematics Curriculum blog.
Conclusion
We hope that this blog has provided you with insightful knowledge on the important ideas that your child will learn about this year. Practising these problems is a great way to reinforce their learning and build the confidence they need to excel in math. To master these skills, keep in mind that constant practice is essential, and we are here to support your child at every stage.
Book a free assessment today and let Dr. Study Tutoring help your child tackle Year 4 maths with confidence and success!
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.
