🔢 Part 1: Number Sequences

1. Complete these number sequences by finding the pattern:

a) 2, 4, 6, 8, _____, _____, _____

b) 5, 10, 15, 20, _____, _____, _____

c) 1, 4, 7, 10, _____, _____, _____

d) 100, 90, 80, 70, _____, _____, _____

2. These sequences include fractions. Find the pattern and continue:

a) ½, 1, 1½, 2, _____, _____, _____

b) ¼, ½, ¾, 1, _____, _____, _____

c) 3, 2½, 2, 1½, _____, _____, _____

3. Describe the rule for each sequence in your own words:

4. Create your own sequence that increases by ¼ each time, starting with 1:

🍰 Part 2: Understanding Fractions

5. Circle the equivalent fractions:

½ and 2/4

⅓ and 2/6

¼ and 3/8

⅔ and 4/6

6. Put these fractions in order from smallest to largest:

¼, ¾, ½, ⅛, ⅝

7. Which of these fractions are greater than ½? Tick all that apply:

⅗

⅜

¾

⅔

⅙

8. Draw and shade circles to show these fractions:

a) ¾

b) ⅖

➕ Part 3: Adding and Subtracting Fractions

9. Solve these fraction calculations. Show your working:

a) ¼ + ¼ = _____

b) ¾ - ¼ = _____

c) ⅖ + ⅕ = _____

d) ⅞ - ⅜ = _____

10. Sarah ate ⅓ of a pizza and Tom ate ¼ of the same pizza. How much pizza did they eat altogether?

🔗 Part 4: Fractions and Decimals

11. Match each fraction to its decimal equivalent:

1. ½

2. ¼

3. ¾

4. ⅕

A. 0.75

B. 0.5

C. 0.2

D. 0.25

12. Write these decimals as fractions:

a) 0.3 = _____

b) 0.7 = _____

c) 0.25 = _____

d) 0.6 = _____

13. Fill in the missing numbers on this number line:

0 _____ 0.25 _____ ½ _____ 0.75 _____ 1

🧠 Part 5: Problem Solving

14. Jamie is saving money each week. In the first week, she saves £2.50. Each week after that, she saves £0.50 more than the previous week. How much will she save in the 6th week?

15. A recipe calls for ¾ cup of flour, but you only have a ¼ cup measuring spoon. How many times will you need to fill the ¼ cup to get ¾ cup of flour?

16. Create your own word problem that involves both a sequence and fractions:

17. Now solve your own problem: