Year 5 Maths: Decimal Patterns

Introduction to Decimal Patterns

Hello, Year 5! Today we are going to learn about decimal patterns. Decimal patterns are sequences of numbers that include decimals, and they follow a certain rule. Understanding decimal patterns is important because they help us see relationships between numbers and make maths easier!

What are Decimals?

Decimals are numbers that have a whole part and a fractional part. For example, in the number 2.5, 2 is the whole part, and .5 is the decimal part.

Understanding Decimal Patterns

Decimal patterns can be found by adding or subtracting the same number each time. Let’s look at some examples:

Example 1: Adding Decimals

If we start with 1.0 and add 0.5 each time, our pattern looks like this:

• Start: 1.0
• Next: 1.0 + 0.5 = 1.5
• Next: 1.5 + 0.5 = 2.0
• Next: 2.0 + 0.5 = 2.5
• Next: 2.5 + 0.5 = 3.0

So the pattern is: 1.0, 1.5, 2.0, 2.5, 3.0.

Example 2: Subtracting Decimals

Now let’s try subtracting. If we start with 5.0 and subtract 0.3 each time, we get:

• Start: 5.0
• Next: 5.0 – 0.3 = 4.7
• Next: 4.7 – 0.3 = 4.4
• Next: 4.4 – 0.3 = 4.1
• Next: 4.1 – 0.3 = 3.8

So the pattern is: 5.0, 4.7, 4.4, 4.1, 3.8.

Key Rules for Decimal Patterns

1. Identify the Starting Number: This is where your pattern begins.
2. Decide on the Rule: Are you adding or subtracting? And by how much?
3. Calculate Each Step: Follow the rule to find the next numbers in the pattern.

Tips and Tricks

• Use a Number Line: Drawing a number line can help you visualise the addition or subtraction of decimals.
• Practice with Real Life: Look for decimal patterns in money, like prices in shops or measurements in recipes.
• Write it Down: Keep track of your patterns on paper so you can see the numbers clearly.

Questions on Decimal Patterns

Easy Questions (1-20)

1. What is 0.1 added to 1.0?
2. What is 0.5 subtracted from 3.0?
3. Write the first five numbers starting from 2.0 and adding 0.2.
4. Write the first five numbers starting from 4.0 and subtracting 0.1.
5. What is 1.5 added to 1.5?
6. What is 2.2 subtracted from 5.0?
7. Write the first four numbers starting from 0.0 and adding 0.3.
8. Write the first four numbers starting from 1.0 and subtracting 0.4.
9. What is 3.0 added to 0.5?
10. What is 4.5 subtracted from 7.0?
11. What is 0.6 added to 2.4?
12. What is 5.5 subtracted from 8.0?
13. Write the first three numbers starting from 2.5 and adding 0.5.
14. Write the first three numbers starting from 3.5 and subtracting 0.2.
15. What is 0.8 added to 2.2?
16. What is 6.0 subtracted from 10.0?
17. Write the first five numbers starting from 1.0 and adding 0.1.
18. Write the first five numbers starting from 5.0 and subtracting 0.2.
19. What is 3.3 added to 0.7?
20. What is 2.0 subtracted from 4.5?

Medium Questions (21-40)

21. Write the first five numbers starting from 1.0 and adding 0.4.
22. Write the first five numbers starting from 2.5 and subtracting 0.3.
23. What is 2.0 added to 1.2?
24. What is 5.5 subtracted from 9.0?
25. Write the first four numbers starting from 0.5 and adding 0.5.
26. Write the first four numbers starting from 4.0 and subtracting 0.4.
27. What is 1.5 added to 2.5?
28. What is 3.5 subtracted from 6.0?
29. Write the first three numbers starting from 3.0 and adding 0.6.
30. Write the first three numbers starting from 2.2 and subtracting 0.1.
31. What is 1.1 added to 2.9?
32. What is 7.0 subtracted from 10.0?
33. Write the first five numbers starting from 3.0 and adding 0.3.
34. Write the first five numbers starting from 6.0 and subtracting 0.2.
35. What is 0.9 added to 1.1?
36. What is 5.5 subtracted from 8.5?
37. Write the first four numbers starting from 0.0 and adding 0.2.
38. Write the first four numbers starting from 1.5 and subtracting 0.5.
39. What is 2.2 added to 3.3?
40. What is 4.0 subtracted from 7.5?

Hard Questions (41-60)

41. Write the first five numbers starting from 2.0 and adding 0.25.
42. Write the first five numbers starting from 5.0 and subtracting 0.75.
43. What is 1.2 added to 3.8?
44. What is 8.5 subtracted from 12.0?
45. Write the first four numbers starting from 1.0 and adding 0.6.
46. Write the first four numbers starting from 4.0 and subtracting 0.75.
47. What is 2.5 added to 1.5?
48. What is 6.5 subtracted from 10.0?
49. Write the first three numbers starting from 3.0 and adding 0.9.
50. Write the first three numbers starting from 2.8 and subtracting 0.4.
51. What is 0.7 added to 2.2?
52. What is 5.5 subtracted from 11.5?
53. Write the first five numbers starting from 1.0 and adding 0.15.
54. Write the first five numbers starting from 7.0 and subtracting 0.5.
55. What is 2.2 added to 3.8?
56. What is 8.0 subtracted from 15.0?
57. Write the first four numbers starting from 0.0 and adding 0.05.
58. Write the first four numbers starting from 5.0 and subtracting 0.25.
59. What is 3.6 added to 2.1?
60. What is 6.5 subtracted from 9.0?

Answers and Explanations

Easy Questions Answers

1. 1.1
2. 2.7
3. 2.0, 2.2, 2.4, 2.6, 2.8
4. 4.0, 3.9, 3.8, 3.7
5. 3.0
6. 2.5
7. 0.0, 0.3, 0.6, 0.9
8. 1.0, 0.6, 0.2
9. 3.5
10. 2.5
11. 3.4
12. 2.5
13. 2.5, 3.0, 3.5
14. 3.5, 3.3, 3.1
15. 3.0
16. 4.0
17. 1.0, 1.1, 1.2, 1.3, 1.4
18. 5.0, 4.8, 4.6, 4.4, 4.2
19. 4.0
20. 2.5

Medium Questions Answers

21. 1.0, 1.4, 1.8, 2.2, 2.6
22. 2.5, 2.2, 1.9, 1.6, 1.3
23. 3.2
24. 3.5
25. 0.5, 1.0, 1.5, 2.0
26. 4.0, 3.6, 3.2, 2.8
27. 4.0
28. 2.5
29. 3.0, 3.6, 4.2
30. 2.2, 2.1, 2.0
31. 4.0
32. 3.0
33. 3.0, 3.3, 3.6, 3.9, 4.2
34. 6.0, 5.8, 5.6, 5.4, 5.2
35. 2.0
36. 3.0
37. 0.0, 0.2, 0.4, 0.6
38. 1.5, 1.0, 0.5, 0.0
39. 6.0
40. 3.5

Hard Questions Answers

41. 2.0, 2.25, 2.5, 2.75, 3.0
42. 5.0, 4.25, 3.5, 2.75, 2.0
43. 5.0
44. 3.5
45. 1.0, 1.6, 2.2, 2.8
46. 4.0, 3.25, 2.5, 1.75
47. 4.0
48. 3.5
49. 3.0, 3.9, 4.8
50. 2.8, 2.4, 2.0
51. 2.9
52. 6.0
53. 1.0, 1.15, 1.30, 1.45, 1.60
54. 7.0, 6.5, 6.0, 5.5, 5.0
55. 6.0
56. 7.0
57. 0.0, 0.05, 0.10, 0.15
58. 5.0, 4.75, 4.5, 4.25
59. 5.7
60. 2.5

Remember to practice decimal patterns often! They are fun and helpful in making maths easier! Happy learning!