Gen Math Reviewer (Part 2)
1
A tricycle driver pays P3,000 every month for 12 months to fully pay a small loan. If we list all the payments, what kind of series do they form, and what does the sum of the series represent?
2
Two friends both plan to save for a small business. Anna deposits P5,000 every quarter in a simple savings account with no interest. Ben deposits the same P5,000 every quarter in an account that earns 4% interest per quarter, compounded quarterly. After 2 years, which friend is better off, and why?
3
A young professional in Manila is comparing two mortgage offers for a condo unit. Both require equal monthly payments over 20 years. Offer A has a slightly lower monthly payment but a higher interest rate. Offer B has a slightly higher monthly payment but a lower interest rate. Considering the total sum of all payments as a long arithmetic series, which offer is likely more economical, and what should she focus on when deciding?
4
The right rectangular prism has a length of 8cm, width of 5cm and height of 3cm. Which expression correctly represents the volume of the prism?
5
A right circular cylinder has radius of 7cm and height of 10cm. What is its volume?
6
Two solids have the same height of 12cm and the same base area of 50cm2. One is a prism and the other is a pyramid. How do their volumes compare, and what does this tell you about the effect of shape on volume?
7
A worker earns a basic hourly wage of P120and works 40 hours in a week with no overtime and no deductions or allowances. What is the worker’s gross income for that week?
8
The shirt originally cost P500. The store offers a 10% discount. What is the sale price?
9
A salesperson receives a fixed monthly salary of P12,000 plus a commission of 5% on total sales. In one month, the salesperson makes sales worth P80,000. There are no other allowances or deductions. What is the salesperson’s gross income for that month?
10
A cellphone’s price increased from P10,000 to P11,500 over one year due to inflation. What is the percentage increase in price?
11
A Grade 11 student deposits P1 000 at the end of each month into a savings plan for 5 months. The bank does not pay interest. What is the total amount of savings after 5 months?
12
Consider the sequence related to the Fibonacci pattern: 2,3,5,8,13,…. What is the next term in the sequence?
13
A sari-sari store owner buys a 25-kilogram sack of rice and repacks it into 500-gram plastic bags for retail sale. How many full 500-gram bags can the owner make from one sack?
14
A cylindrical water drum in a barangay has a radius of 35cm and a height of 80cm. The barangay wants to paint only the outside curved surface (not the top and bottom). What is the approximate area to be painted? Use π≈3.14
15
A Philippine shipping company must choose the best unit to express the mass of a container van carrying relief goods from Manila to Visayas. Which unit is most appropriate to use in their official documents, and why?
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Spanish alphabet, listening-based assessment