Student Enrollment
1. **Problem 109:** Find the number of students in the Middle Division.
Given total students = 2000
Middle Division percentage = 35% = 0.35
Formula: Number of students = Total students \times Percentage
Calculation:
$$2000 \times 0.35 = 700$$
Answer: 700 students.
2. **Problem 110:** Which division has the largest number of girls?
Calculate girls in each division:
- Primary Division: 40% of 2000 = 800 students, girls = 50% of 800 = 400
- Middle Division: 35% of 2000 = 700 students, girls = 52% of 700 = 364
- Senior Division: 25% of 2000 = 500 students, girls = 45% of 500 = 225
Largest number of girls is in Primary Division with 400 girls.
3. **Problem 111:** Total student count after 2 years with 5% annual growth.
Formula for compound growth:
$$P = P_0 (1 + r)^t$$
where $P_0=2000$, $r=0.05$, $t=2$
Calculation:
$$2000 \times (1.05)^2 = 2000 \times 1.1025 = 2205$$
Answer: 2205 students.
4. **Problem 112:** Number of Senior Division students not enrolled in STEM Lab.
Senior Division students = 25% of 2000 = 500
STEM enrollment = 15% of 500 = 75
Not enrolled = 500 - 75 = 425
Answer: 425 students.
5. **Problem 113:** Difference in number of boys between Primary and Senior Divisions.
Primary boys = 50% of 800 = 400
Senior boys = 55% of 500 = 275
Difference:
$$400 - 275 = 125$$
Answer: 125 boys.
6. **Problem 114:** New percentage of Middle Division after increasing by 20 students.
New Middle Division students = 700 + 20 = 720
Total students = 2000 + 20 = 2020
Percentage:
$$\frac{720}{2020} \times 100 = 35.64\% \approx 36.0\%$$
Answer: 36.0%.