2024 BECE Mathematics Critical Thinking and Application Questions

Give these questions a try as you prepare for the BECE; these ar e 2024 BECE Mathematics Questions Using Critical Thinking and Application

Mathematics, Section B (Critical Thinking and Application) – Revision Questions for 2024 BECE Candidates

 

Let us take a look at these Special Critical Thinking Mathematics Questions For 2024 BECE Candidates

Question1: Data:

The table shows the number of births recorded per month in two towns: Dobro and Adanse.

Instructions: Analyse the data in the table and answer the following questions:

1. Compare and contrast the birth rates between the two towns for each month. Are there any months where one town has a significantly higher or lower number of births compared to the other? (2 marks)
2. Calculate the total number of births for each town across the five months. Which town has a higher overall birth rate during this period? (2 marks)
3. Considering the limited data (only five months), can you identify any seasonal trends in the birth rates for either town? Explain your reasoning. (2 marks)
4. Suggest two reasons, other than seasonality, that might explain the differences in birth rates between the two towns. (2 marks)
5. If you were tasked with collecting more data to understand birth rates in these towns, what additional information would you collect and why? Explain how this information could help provide a more comprehensive picture. (3 marks)

TIPS TO HELP CANDIDATES PERFORM WELL

• Show your calculations for questions 2 and 3.
• Use evidence from the data to support your answers in questions 1 and 4.
• Be clear and concise in your explanations for questions 3 and 5.

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Question 2

Three newly graduated doctors and seven nurses from Korlebu have been posted on the Western Region to plan an anti-malaria campaign they will carry out as directed by the Ghana Health Service. Your brother, who is one of the doctors, has provided you with this data. Study it and help him prepare for the meeting to be held in three days. 

Hospital	Number of Cases
Effia-Nkwanta	55
Westview	95
Jemima Crentsil	235
Nagel Memorial	170
Cloverleaf	165

[I] . Data Analysis and Interpretation

a. Calculate the total number of malaria cases recorded in all five hospitals. (1 mark)

b. Express the number of malaria cases at Jemima Crentsil Hospital as a percentage of the total cases. (2 marks)

c. Identify the two hospitals with the highest and lowest number of reported cases. (1 mark)

d. Assuming all hospitals have similar capacities, what factors might contribute to the varying number of malaria cases reported by each hospital? (3 marks)

[II]. Problem-Solving and Application:

a. Public health officials are planning an anti-malaria campaign in the Western Region. Based on the data, which hospital(s) might require the most resources for the campaign? Explain your reasoning. (3 marks)

b. Suggest two additional methods, besides pie charts, that could be used to effectively represent the data on malaria cases in these hospitals. (2 marks)

[III]. Critical Thinking and Communication:

a. The data only represents five hospitals. Discuss the limitations of using this data to draw conclusions about the overall prevalence of malaria in the Western Region. (2 marks)

b. Besides hospital data, what other information might be helpful to understand the spread of malaria in a specific region? Explain the significance of this additional information. (2 marks)

These questions encourage critical thinking by requiring students to analyze the data, identify patterns, draw conclusions, and apply their knowledge to solve problems and communicate effectively.

READ: 2024 BECE Grading System

MORE GENERAL MATHEMATICS APPLICATION QUESTIONS FOR 2024-2025 BECE CANDIDATES

1. The table below gives the number of malaria cases recorded in five hospitals in Western Region of Ghana.

Draw a pie chart to represent the data above

Instructions: Answer all the questions in the space provided. Show all workings for calculations where necessary.

1. Kofi bought 5 meters of cloth at GH¢10 per meter. He then sold the cloth at a profit of GH¢2 per meter. Calculate:
   • (a) The total cost price of the cloth. (1 mark)
   • (b) The selling price per meter of cloth. (1 mark)
   • (c) The total profit Kofi made from selling the cloth. (2 marks)
2. A rectangular garden is 12 meters long and 8 meters wide. Calculate the:
   • (a) Perimeter of the garden. (2 marks)
   • (b) Area of the garden. (2 marks)
3. The ratio of the ages of Kwame and Ama is 3:2. If the sum of their ages is 35 years, find the age of each person. (3 marks)
4. A recipe requires 2 cups of flour to make 12 muffins. If Ama wants to make 24 muffins, how many cups of flour will she need? (3 marks)
5. The scale on a map is 1 cm : 5 km. What is the actual distance represented by a distance of 3 cm on the map? (2 marks)
6. The price of a textbook has increased by 10%. If the original price was GH¢50, what is the new price of the textbook? (2 marks)
7. A bus travels 200 km in 4 hours. Calculate the average speed of the bus in km/h. (2 marks)
8. Ama took a loan of GHS2000 from Yemo for 2 years at an interest rate of 5% per year.  Calculate the interest using the formula:

SI = (P × R × T) / 100

where:

• SI = Simple Interest
• P = Principal (amount borrowed)
• R = Rate of interest per year (%)
• T = Time (in years)

a. Calculate the simple interest on the loan. (2 marks)

Aba is ready to give Ama a loan at 5% percent after Ama has paid the loan given by Yemo. However, Yemo has promised to give Ama a new loan of GHS500 in addition to your answer in (a) above at 1% for 1 year. Should Ama take the loan from Aba? Explain your reason for the yes or no.

9. Solve the equation: 3x + 5 = 14 (2 marks) 10. Draw a pie chart to represent the following data on the favourite fruits of a group of students:

• Oranges: 20%
• Apples: 30%
• Bananas: 25%
• Others: 25% (4 marks)

11. A square has sides of length x cm. Find the perimeter and area of the square in terms of x. (2 marks)
12. A triangle has angles measuring x°, (x + 10)°, and (2x – 20)°. The sum of the angles in a triangle is always 180°. Use this information to solve for the value of x. (3 marks)
13. Convert the following fractions to decimals:
    • (a) 3/5 (1 mark)
    • (b) 7/8 (1 mark)
14. Solve the following system of equations using elimination:

2x + y = 5 x – y = 1 (4 marks) 15. A bag contains 6 red marbles, 4 blue marbles, and 2 yellow marbles. If someone picks a marble without looking, what is the probability of picking: * (a) A red marble? (2 marks) * (b) A marble that is not blue? (2 marks)

16. John can paint a room in 5 hours, and Ama can paint the same room in 8 hours. If they work together, how long will it take them to paint the room? (3 marks)

17. In a right-angled triangle, the two shorter sides (legs) measure 6 cm and 8 cm. Find the length of the hypotenuse (longest side) using the Pythagorean theorem. (3 marks)

18. A circle has a radius of 4 cm. Calculate the: * (a) Circumference of the circle (π = 22/7) (2 marks) * (b) Area of the circle (π = 22/7) (2 marks)

19. A bus leaves Kumasi at 8:00 am and arrives in Accra at 1:00 pm. If the distance between the two cities is 250 km, calculate the average speed of the bus in km/h. (3 marks)

Solve the following inequality: 2x – 5 < 3 (2 marks)

These 2024 BECE Mathematics Questions Using Critical Thinking and Application should help you master how to answer application questions.