Gen Math Reviewer (Part 2)
1
A Filipino online seller buys T-shirts at P180 each and sells them at P250 each, including 12% VAT in the price. Ignoring other expenses, what is the seller’s approximate profit per T-shirt before VAT is added?
2
A supermarket in Manila offers a 15% discount on a P1,200 rice cooker. After the discount, 12% VAT is added to the discounted price. What is the final price the customer pays?
3
A Filipino entrepreneur plans a new pricing scheme for a gadget that currently sells at P4,000. She wants the final price (including 12% VAT and a promotional discount) to still give her at least P800 profit per unit on a cost of P3,000. She insists on keeping the VAT at 12% but is willing to adjust the discount rate. Which of the following creative pricing plans meets her profit goal while being attractive to customers?
4
A sequence is defined by the rule a_n = 2n + 1. Which statement best evaluates whether this sequence is arithmetic, geometric or neither?
5
The first term of an arithmetic sequence is 5, and the common difference is 3. If the sequence has 10 terms, what is the sum of the series?
6
An event organizer wants to arrange fireworks shots so that their heights follow a geometric sequence, creating a dramatic build-up. The first firework rises to 50 meters, and the third rises to 200 meters. If there are 6 fireworks, what should be the height of the sixth firework to maintain the geometric pattern?
7
A student saves P1000 every month for 10 months to buy a gadget. Which type of sequence best represents the total amount saved over time?
8
A family takes a simple loan of P50 000 from a local cooperative with a fixed interest of 10% per year. After 3 years, how much interest will they pay in total?
9
A schoolteacher invests P2 000 at the end of every month in a savings plan that gives 2% interest per month, compounded monthly. Over time, the balance grows like a geometric series. What makes this situation geometric rather than arithmetic?
10
A water bottle label says it contains 500mL. How many liters of water does the bottle hold?
11
A student measures her height as 1.6m. How many centimeters tall is she?
12
A recipe for “palitaw” says you need 250g of glutinous rice flour. If you only have a kitchen scale that measures in kilograms, what reading should you expect when you weigh the flour?
13
A barangay health worker needs to record the weight of a baby as 3.2kg. If the weighing scale only shows grams, what number should she write?
14
A tricycle driver’s gasoline tank can hold 8L of fuel. He wants to know how many milliliters this is to compare with the label on a fuel container that shows volume in milliliters. What is the tank’s capacity in milliliters?
15
A Grade 11 student is designing a simple science experiment to compare how fast water heats when using different stoves. She plans to heat 1.5L of water in each trial but wants to measure the water using a measuring cup marked in milliliters. How much water should she pour for each trial?
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