Grade 7 Maths Worksheet: Complete the number sentences by finding missing numbers.

Problem: Solve the missing numbers in the given number sentences.

The task is to find the missing numbers in each equation to make the statements true. Let's solve each problem step by step.

---

#### 1. \_\_\_ + 14 = 30
To find the missing number, subtract 14 from 30:
\[
30 - 14 = 16
\]
So, the missing number is 16.

---

#### 2. \_\_\_ × 3 = 96
To find the missing number, divide 96 by 3:
\[
96 ÷ 3 = 32
\]
So, the missing number is 32.

---

#### 3. 31 − \_\_\_ = 18
To find the missing number, subtract 18 from 31:
\[
31 - 18 = 13
\]
So, the missing number is 13.

---

#### 4. 25 + 5 + \_\_\_ = 14
First, simplify the left side by adding 25 and 5:
\[
25 + 5 = 30
\]
Now, the equation becomes:
\[
30 + \_\_\_ = 14
\]
To find the missing number, subtract 30 from 14:
\[
14 - 30 = -16
\]
So, the missing number is -16.

---

#### 5. 7 × \_\_\_ = 0
Any number multiplied by 0 equals 0. Therefore, the missing number must be 0.

---

#### 6. \_\_\_ ÷ 4 + 3 = 9
Let the missing number be \( x \). The equation becomes:
\[
x ÷ 4 + 3 = 9
\]
Subtract 3 from both sides:
\[
x ÷ 4 = 6
\]
Multiply both sides by 4:
\[
x = 24
\]
So, the missing number is 24.

---

#### 7. 9 × \_\_\_ + 2 = 110
Let the missing number be \( y \). The equation becomes:
\[
9y + 2 = 110
\]
Subtract 2 from both sides:
\[
9y = 108
\]
Divide both sides by 9:
\[
y = 12
\]
So, the missing number is 12.

---

#### 8. 27 ÷ \_\_\_ × 8 = 72
Let the missing number be \( z \). The equation becomes:
\[
27 ÷ z × 8 = 72
\]
First, isolate the division part. Divide both sides by 8:
\[
27 ÷ z = 9
\]
Now, solve for \( z \) by dividing 27 by 9:
\[
z = 3
\]
So, the missing number is 3.

---

#### 9. 12 × 2 + \_\_\_ = 40
First, simplify the left side by multiplying 12 and 2:
\[
12 × 2 = 24
\]
Now, the equation becomes:
\[
24 + \_\_\_ = 40
\]
To find the missing number, subtract 24 from 40:
\[
40 - 24 = 16
\]
So, the missing number is 16.

---

#### 10. \_\_\_ ÷ 8 + 9 = 16
Let the missing number be \( w \). The equation becomes:
\[
w ÷ 8 + 9 = 16
\]
Subtract 9 from both sides:
\[
w ÷ 8 = 7
\]
Multiply both sides by 8:
\[
w = 56
\]
So, the missing number is 56.

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Final Answers:

\[
\boxed{16, 32, 13, -16, 0, 24, 12, 3, 16, 56}
\]