- A survey was conducted on subjects pupils like most in school, with 80 pupils participating. The pie graph shows 40% liked Mathematics, 25% liked Agriculture, 20% liked Science, and 15% liked English. - The document provides an example problem solving the number of pupils that liked Science using the pie graph data. It gives the steps to identify facts, understand the question, plan the operation, solve using computations, and check the answer. - The second part of the document asks multiple choice and short answer questions about a pie graph showing the population breakdown by age groups in a barangay with a total population of 33,500 people. It asks questions about specific age groups and calculates totals.

1. MATHEMATICS
QUARTER 4 WEEK 5

2. Solve Routine and Non-
Routine Problems
using Data Presented in a
Pie Graph

3. EXAMPLE 1:
A survey was conducted on the subjects that the pupils
like most in a school. A total of 80 pupils participated in
the survey. The pie graph shows the result. How many
pupils like the Science subject?

4. 25%
15%
40%
20%
Subjects Pupils Like Most
Agriculture
English
Mathematics
Science

5. Use the steps in problem solving.
• Identify the given facts.
1. Understand
• Know what is asked in the problem.
The number of pupils likes Science the most.
80 pupils Agriculture – 25%
Science – 20 % Mathematics – 40 %

6. 2. Plan
Use the steps in problem solving.
• Know the operation to be used.
Multiplication

7. 3. Solve
• Show your computation or solution.
Use the steps in problem solving.
Science – 20 %
What is 20% of 80?

8. 3. Check and look back
• Review and check your answer.
Use the steps in problem solving.
Use division to check your answer

9. The graph shows
the percent of
various age groups
in Barangay
Matiwasay. It has
an estimated
population of
33,500.

10. The graph shows the percent of various age groups in
Barangay Matiwasay. It has an estimated population
of 33,500.
1.How many percent
of the population are
71 years old and
above?
Answer: 10%

11. The graph shows the percent of various age groups in
Barangay Matiwasay. It has an estimated population
of 33,500.
2. How many
people are in the 31
to 50 years old
group?
Answer: 6,700

12. The graph shows the percent of various age groups in
Barangay Matiwasay. It has an estimated population
of 33,500.
3. What group
has the greatest
number of
people? How
many are they?
Answer: 11-30 yrs. old
Answer: 10,050 people

13. The graph shows the percent of various age groups in
Barangay Matiwasay. It has an estimated population
of 33,500.
4.How many people
are under 10 years
old group?
Answer: 8,375

14. The graph shows the percent of various age groups in
Barangay Matiwasay. It has an estimated population
of 33,500.
5. If 51 to 70 years old
group is added to the
31 to 50 years old
group, how many will
they be?
Answer: 11,725

15. Judith’s income is
₱22,500.00 a
month. She makes
a pie graph on her
expenses.