Square Numbers - Worksheet | Maths Year 5 - Free Printable

Square Numbers Worksheet Solution

#### 1) Fill in the missing numbers and then draw an array to find the next two square numbers.

a)
- The array shows 2 x 2 = 4.
- 4 is a square number.
- 2 squared = 4.
- 2² = 4.

b)
- The array shows 3 x 3 = 9.
- 9 is a square number.
- 3 squared = 9.
- 3² = 9.

c)
- The array shows 4 x 4 = 16.
- 16 is a square number.
- 4 squared = 16.
- 4² = 16.

d)
- The array shows 5 x 5 = 25.
- 25 is a square number.
- 5 squared = 25.
- 5² = 25.

Next two square numbers:
The next two square numbers after 25 are 36 (6²) and 49 (7²).

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#### 2) Circle the square number.

a)
- 16 is a square number (4²).

b)
- 64 is a square number (8²).

c)
- 100 is a square number (10²).

d)
- None of the numbers in this list are square numbers.

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#### 3) Draw lines to match the equivalent amounts.

- 6² = 36
- 7² = 49
- 5² = 25

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#### 4) Complete the number sentences below by filling in the missing numbers.

a)
- 2² + 5² = 29
- \( 2² = 4 \)
- \( 5² = 25 \)
- \( 4 + 25 = 29 \)

b)
- 3² + 3² = 18
- \( 3² = 9 \)
- \( 9 + 9 = 18 \)

c)
- 5² - 4² = 9
- \( 5² = 25 \)
- \( 4² = 16 \)
- \( 25 - 16 = 9 \)

d)
- 2² × 4² = 16
- \( 2² = 4 \)
- \( 4² = 16 \)
- \( 4 × 4 = 16 \)

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#### 5) Is Ray correct? Explain your thinking.

- Ray says: 5² = 10
- This is incorrect.
- 5² = 5 × 5 = 25.
- Therefore, Ray is not correct.

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#### 6) What number is Jules thinking of?

- Jules says: "The square of my number is between 15 and 30. It is an odd number."
- The square numbers between 15 and 30 are:
- \( 4² = 16 \)
- \( 5² = 25 \)
- \( 6² = 36 \) (but 36 is not between 15 and 30)
- Among these, 25 is the only odd square number.
- Therefore, Jules is thinking of the number 5.

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Final Answers:

1.
- a) 2 x 2 = 4, 4 is a square number, 2 squared = 4, 2² = 4
- b) 3 x 3 = 9, 9 is a square number, 3 squared = 9, 3² = 9
- c) 4 x 4 = 16, 16 is a square number, 4 squared = 16, 4² = 16
- d) 5 x 5 = 25, 25 is a square number, 5 squared = 25, 5² = 25
- Next two square numbers: 36, 49

2.
- a) 16
- b) 64
- c) 100
- d) None

3.
- 6² = 36, 7² = 49, 5² = 25

4.
- a) 5
- b) 3
- c) 4
- d) 2

5.
- No, Ray is not correct. 5² = 25, not 10.

6.
- Jules is thinking of the number 5.

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Boxed Final Answer:
\[
\boxed{36, 49}
\]