Math Questions For Year 4

Year 4 Maths Questions: A Comprehensive Guide for Parents and Educators

This article provides a wide range of maths questions suitable for Year 4 students (typically 8-9 years old). We'll cover various topics including number sense, place value, addition, subtraction, multiplication, division, fractions, measurement, geometry, and problem-solving. These questions are designed to be engaging and challenging, helping students build a strong foundation in mathematics. This resource is perfect for parents wanting to support their child's learning at home, or for educators looking for supplementary materials for their classroom.

I. Number and Place Value

Understanding Place Value:

1. What is the value of the digit 7 in the number 3725?
2. Write the number four thousand, three hundred and twenty-one in digits.
3. Order these numbers from smallest to largest: 2851, 2581, 2185, 2815.
4. Round 347 to the nearest ten.
5. Round 1256 to the nearest hundred.
6. What number is 100 more than 2783?
7. What number is 1000 less than 5620?
8. Write 5,000 + 300 + 20 + 8 in standard form.
9. Represent the number 2345 using Roman numerals.
10. What is the largest four-digit number that can be made using the digits 2, 5, 0, and 9?

Comparing and Ordering Numbers:

11. Which is greater, 3452 or 3542? Explain your answer.
12. Put these numbers in ascending order: 1001, 1100, 1010, 1110.
13. Use <, >, or = to compare the following numbers: 4785 __ 4875.
14. Arrange these numbers in descending order: 6321, 6123, 6213, 6312.
15. True or false: 2500 is greater than 2050.

II. Addition and Subtraction

Basic Addition and Subtraction:

16. 345 + 216 = ?
17. 782 - 359 = ?
18. Calculate: 1234 + 5678 - 2345
19. Solve: 9876 - 5432 + 1234

Word Problems involving Addition and Subtraction:

20. Sarah has 235 marbles, and Tom has 187 marbles. How many marbles do they have altogether?
21. A school has 678 students. 325 students are boys. How many girls are there?
22. A farmer has 1500 apples. He sells 785 apples. How many apples are left?
23. John has 456 stickers. He gives 123 stickers to his friend. How many stickers does John have left?
24. A shop had 2345 toys. They sold 1256 toys in the morning and 567 in the afternoon. How many toys are left in the shop?

III. Multiplication and Division

Multiplication Facts:

25. 6 x 7 = ?
26. 9 x 8 = ?
27. 12 x 5 = ?
28. 11 x 11 = ?
29. 25 x 4 = ?

Division Facts:

30. 42 ÷ 7 = ?
31. 72 ÷ 9 = ?
32. 60 ÷ 12 = ?
33. 100 ÷ 25 = ?
34. 88 ÷ 11 = ?

Word Problems Involving Multiplication and Division:

35. There are 6 boxes of crayons. Each box contains 12 crayons. How many crayons are there in total?
36. A teacher wants to divide 36 sweets equally among 4 students. How many sweets will each student get?
37. A baker makes 24 cupcakes. She puts them into boxes of 6. How many boxes does she need?
38. There are 5 rows of chairs with 8 chairs in each row. How many chairs are there altogether?
39. Maria has 72 stickers and wants to share them equally among her 8 friends. How many stickers does each friend get?

IV. Fractions

Understanding Fractions:

40. What fraction of this shape is shaded? (Show a shape with, for example, 3/4 shaded)
41. Draw a diagram to represent the fraction 2/5.
42. What is equivalent to ½?
43. Compare these fractions: 1/4 __ 1/2 (Use <, >, or =)
44. Simplify the fraction 4/8.

Adding and Subtracting Fractions:

45. 1/4 + 1/4 = ?
46. 3/5 - 1/5 = ?
47. Solve 1/2 + 1/4 =? (Consider introducing the concept of common denominators)
48. Solve 2/3 - 1/6 = ?

V. Measurement

Length:

49. Convert 2 meters to centimeters.
50. Convert 500 centimeters to meters.
51. How many millimeters are there in 3 centimeters?
52. A table is 1.5 meters long. What is its length in centimeters?
53. A ribbon is 120 cm long. How many meters is that?

Mass/Weight:

54. Convert 2 kilograms to grams.
55. Convert 3000 grams to kilograms.
56. A bag of sugar weighs 1.2 kilograms. What is its weight in grams?
57. A box weighs 500g. How many more grams are needed to make it weigh 1kg?

Capacity/Volume:

58. Convert 2 liters to milliliters.
59. Convert 4000 milliliters to liters.
60. A bottle contains 1.5 liters of water. How many milliliters is that?
61. A jug holds 2 liters. If we pour out 750 ml, how much water remains?

Time:

62. How many minutes are there in 2 hours?
63. How many seconds are there in 5 minutes?
64. A film lasts 1 hour and 30 minutes. How long is it in minutes?
65. Convert 150 minutes into hours and minutes.
66. If a train leaves at 10:45 am and arrives at 12:15 pm, how long is the journey?

VI. Geometry

2D Shapes:

67. Name five different 2D shapes.
68. Draw a rectangle and label its sides.
69. What is the difference between a square and a rectangle?
70. What properties does a triangle have?
71. What is a rhombus? Draw one.

3D Shapes:

72. Name five different 3D shapes.
73. How many faces does a cube have?
74. How many vertices (corners) does a triangular prism have?
75. What is the difference between a cylinder and a cone?
76. Describe the faces of a rectangular prism.

Lines of Symmetry:

77. Draw a line of symmetry on a square.
78. Does a circle have lines of symmetry? Explain your answer.
79. How many lines of symmetry does a regular hexagon have?

VII. Problem-Solving

Multi-Step Word Problems:

80. Sarah bought 3 pencils for 50p each and a ruler for £1.20. How much did she spend in total?
81. A farmer has 24 sheep. He divides them equally into 3 fields. How many sheep are in each field? Then, he buys 12 more sheep and puts them all in one big field. How many sheep are in the big field?
82. A baker makes 48 cookies. He puts 6 cookies in each bag. How many bags does he need? If he sells each bag for £2, how much money will he make?
83. John has 150 marbles. He gives 35 to his brother and 25 to his sister. How many marbles does John have left? He then buys another 20 marbles. How many marbles does he have now?
84. A train travels 120 km in 2 hours. What is its average speed in km per hour? If it continues at this speed, how far will it travel in 3 hours?

Logical Reasoning Problems:

85. If today is Tuesday, what day will it be in 5 days’ time?
86. If a pattern continues: 1, 3, 5, 7, __ , __ what are the next two numbers?
87. If a train is going North and turns right, which direction is it going now?
88. I am a number. I am between 20 and 30. I am odd. I am a multiple of 5. What number am I?
89. If you add two numbers and get 10 and subtract them and get 2, what are the two numbers?

VIII. Conclusion

This comprehensive list offers a diverse range of maths questions suitable for Year 4 students. Remember to encourage students to explain their reasoning and show their working, fostering a deeper understanding of mathematical concepts. Regular practice and a variety of question types are key to building confidence and fluency in mathematics. By incorporating these questions into their learning journey, Year 4 students will develop a solid foundation for future mathematical success. Remember to adapt the difficulty and complexity of the questions to suit the individual needs and abilities of each student. Celebrate successes and encourage perseverance in the face of challenges, making maths a positive and enjoyable experience.