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Year 5 Algebra Basics

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Year 5 Algebra Basics worksheet preview

Year 5 Algebra Basics

Algebra symbols and equations

🔢 Part 1: Finding Missing Numbers

1. Find the missing number in each equation:

a) 7 + _____ = 12

b) _____ - 4 = 9

c) 3 × _____ = 15

d) 20 ÷ _____ = 4

2. What number does the letter represent?

a) n + 8 = 15, so n = _____

b) m - 6 = 10, so m = _____

c) 4 × p = 28, so p = _____

3. Circle the correct answer for each equation:

If x + 5 = 13, then x equals:

6

8

18

4. If y - 7 = 12, then y equals:

5

19

84

📝 Part 2: Writing Expressions

5. Write each sentence as a mathematical expression using letters:

a) A number plus 6: _____________

b) 10 minus a number: _____________

c) A number multiplied by 3: _____________

d) 24 divided by a number: _____________

6. Sarah has some marbles. She buys 8 more marbles and now has 15 marbles altogether. Write an equation to show this:
7. Tom thinks of a number, doubles it, and gets 16. What equation represents this?

n + 2 = 16

2 × n = 16

n - 2 = 16

🧮 Part 3: Problem Solving

8. A bag contains some sweets. After eating 5 sweets, there are 12 left. How many sweets were in the bag originally?

Write the equation: _____________

Answer: _____ sweets

9. In a classroom, there are 4 rows of desks with the same number of desks in each row. There are 24 desks altogether. How many desks are in each row?
10. Challenge: If 3a + 2 = 14, what is the value of a?

Show your working:

a = _____

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