Maths Questions For Year 4

Year 4 Maths Questions: A Comprehensive Guide to Boosting Mathematical Skills

This article provides a wide range of Year 4 maths questions, covering key areas of the curriculum. Designed to be both challenging and engaging, these questions will help students build a strong foundation in mathematics and improve their problem-solving abilities. We'll delve into various topics, providing examples, explanations, and helpful tips to aid comprehension. This resource is perfect for parents, teachers, and students alike, seeking to master Year 4 maths concepts.

Number and Place Value

This section focuses on understanding numbers up to 10,000, including place value, rounding, comparing, and ordering numbers.

1. Place Value:

• Question 1: What is the value of the digit 7 in the number 3729?
• Question 2: Write the number 2035 in expanded form (e.g., 2000 + 30 + 5).
• Question 3: What is the smallest four-digit number you can make using the digits 5, 0, 2, and 9?
• Question 4: Arrange the following numbers in ascending order: 4321, 4123, 4231, 4312.

2. Rounding:

• Question 5: Round 3456 to the nearest hundred.
• Question 6: Round 1287 to the nearest ten.
• Question 7: Round 7550 to the nearest thousand.
• Question 8: A shop sold 2345 apples. Round this number to the nearest thousand to estimate the number of apples sold.

3. Comparing and Ordering:

• Question 9: Use the symbols >, <, or = to compare the following numbers: 2567 __ 2657
• Question 10: Put the following numbers in descending order: 1111, 999, 1001, 1200

Explanation: These questions test understanding of place value (ones, tens, hundreds, thousands), the ability to round to the nearest ten, hundred, and thousand, and the skills of comparing and ordering numbers using appropriate symbols.

Addition and Subtraction

Year 4 students should be proficient in adding and subtracting numbers with up to four digits, including using mental methods and formal written methods (columnar addition and subtraction).

1. Mental Addition and Subtraction:

• Question 11: What is 3500 + 200?
• Question 12: What is 470 – 50?
• Question 13: Calculate 1250 + 350 – 200 mentally.
• Question 14: A farmer has 1500 sheep and buys another 300. How many sheep does he have in total?

2. Written Addition and Subtraction:

• Question 15: Calculate 3456 + 2178 using columnar addition.
• Question 16: Calculate 5678 – 3295 using columnar subtraction.
• Question 17: A school has 1256 students. 487 are girls. How many boys are there?
• Question 18: A train journey is 2345km long. The train has travelled 1058 km. How many km are left to travel?

Explanation: These questions assess the student's ability to perform addition and subtraction efficiently, both mentally and using written methods. It emphasizes problem-solving skills within realistic contexts.

Multiplication and Division

Year 4 focuses on multiplication tables up to 12 x 12, and the related division facts. Students also begin to explore more complex multiplication and division problems.

1. Multiplication Tables:

• Question 19: What is 7 x 8?
• Question 20: What is 12 x 9?
• Question 21: What is 6 x 6?
• Question 22: Find three different pairs of numbers that multiply to make 24.

2. Multiplication and Division Problems:

• Question 23: There are 8 boxes of crayons, and each box contains 12 crayons. How many crayons are there in total?
• Question 24: Divide 72 sweets equally amongst 9 children. How many sweets does each child receive?
• Question 25: A baker makes 24 cupcakes. He packs them into boxes of 6. How many boxes does he need?
• Question 26: If 12 pencils cost £36, how much does one pencil cost?

3. Introducing short multiplication:

• Question 27: Calculate 23 x 4
• Question 28: Calculate 123 x 3

Explanation: These questions assess knowledge of multiplication tables, the ability to apply multiplication and division to solve word problems, and introduce the fundamentals of short multiplication.

Fractions

Year 4 introduces a deeper understanding of fractions, including equivalent fractions, comparing and ordering fractions, and adding and subtracting simple fractions.

1. Equivalent Fractions:

• Question 29: What is an equivalent fraction to ½?
• Question 30: Are ¾ and 6/8 equivalent fractions? Explain your answer.

2. Comparing and Ordering Fractions:

• Question 31: Which is bigger, ½ or ⅓?
• Question 32: Arrange the following fractions in ascending order: ½, ⅓, ¼

3. Adding and Subtracting Fractions:

• Question 33: What is ½ + ¼?
• Question 34: What is ⅔ - ⅓?

Explanation: These questions focus on building a solid understanding of fractions, including recognizing equivalent fractions, comparing their values, and performing simple addition and subtraction.

Measurement

This section covers length, mass, volume, capacity, time, and money.

1. Length:

• Question 35: Convert 3 meters to centimeters.
• Question 36: A table is 1 meter and 50 centimeters long. What is its length in centimeters?

2. Mass:

• Question 37: Convert 2 kilograms to grams.
• Question 38: A bag of flour weighs 1500 grams. How many kilograms is this?

3. Capacity:

• Question 39: Convert 2 liters to milliliters.
• Question 40: A bottle contains 750 milliliters of water. How many liters is this?

4. Time:

• Question 41: How many minutes are there in 2 hours?
• Question 42: A film starts at 7:30 pm and lasts for 1 hour and 45 minutes. What time does it finish?

5. Money:

• Question 43: If you have £5 and spend £2.50, how much money do you have left?
• Question 44: A book costs £7.99 and a pen costs £2.99. What is the total cost?

Explanation: This section emphasizes practical application of measurement units and conversions, focusing on real-world scenarios.

Geometry

Year 4 introduces concepts like properties of shapes, angles, and lines of symmetry.

1. Properties of Shapes:

• Question 45: Name a shape with 5 sides.
• Question 46: What are the properties of a rectangle?
• Question 47: How many vertices does a cube have?

2. Angles:

• Question 48: What is a right angle?
• Question 49: Estimate the size of an acute angle.

3. Lines of Symmetry:

• Question 50: Draw the lines of symmetry for a square.
• Question 51: Does a circle have lines of symmetry? How many?

Explanation: These questions assess understanding of basic geometrical shapes, their properties, angles, and lines of symmetry.

Statistics

Year 4 introduces simple data handling skills.

1. Interpreting Data:

• Question 52: A bar chart shows the number of children who like different colors. Interpret the data from the chart to answer questions about which color is the most/least popular. (A sample bar chart would be provided).

2. Representing Data:

• Question 53: Create a simple tally chart to show the number of different types of fruits in a basket. (A list of fruits would be provided).

Explanation: These questions help students develop the skills to interpret and represent data in simple formats such as bar charts and tally charts.

Problem Solving

Problem-solving questions require applying mathematical knowledge to solve real-world scenarios. These require a deeper understanding of the concepts and the ability to translate word problems into mathematical expressions.

• Question 54: A baker uses 250g of flour for each loaf of bread. He wants to make 6 loaves. How much flour does he need?
• Question 55: Sarah has £15. She buys a toy car for £6.50 and a book for £4. How much money does she have left?
• Question 56: A class has 30 students. They are divided into 5 equal groups. How many students are in each group?
• Question 57: A train travels 60km in one hour. How far will it travel in 3 hours?
• Question 58: John has 24 marbles. He gives ⅓ of them to his friend. How many marbles does John have left?

Conclusion

This comprehensive guide provides a wide range of Year 4 maths questions covering key areas of the curriculum. Regular practice with these types of questions will significantly enhance a student's mathematical skills, boosting their confidence and preparing them for future challenges. Remember to encourage a problem-solving approach, emphasizing understanding rather than just finding the right answer. This holistic approach will foster a genuine love for mathematics and equip students with the essential skills needed for academic success. Using varied question types, including word problems, will reinforce comprehension and application of learned concepts. Continuous practice and a supportive learning environment are vital for mastering Year 4 mathematics.