Please answer the first three items. Topic 3 Practice TestSome of the following problems involve patterns and some are recreational by nature. Solve each of them,making use of any problem-solving strategy.Pomoct.2. Alice, Ben and Carl collect stamps. They exchange stamps among themselves according to thefollowing scheme: Alice gives Ben as many stamps as Ben has and Carl as many stamps as Carl has.After that, Ben gives Alice and Carl as many stamps as each of them has, and then Carl gives Aliceand Ben as many stamps as each has. If each finally has 64 stamps, with how many stamps does Alicestart?3. Solve the following cryptarithms. Note that in each problem, letters represent a single digit only. (a)(HE) = SHE; and, (b) WRONG+ WRONG RIGHT4. How many squares of all sizes are in an 8x8 checkerboard?5.In order to encourage his son in the study of algebra, a father promised the son P8 for every problemsolved correctly and to fine him P5 for each incorrect solution. After 26 problems, neither owedanything to the other. How many problems did the boy solve correctly?6.Find 3 solids and their measurements whose surface area is 60 square units.7. If a pup is worth a pooch and a mutt, and a pup and a pooch are worth one bird dog, and two birddogs are worth three mutts, how many pooches is a pup worth?8.If it is now 10:45 am, what time will it be in 143,999,999,995 minutes from now?9. Find the unit's digit for the sum 1325 + 481 +541110. Mang Ruben has only an 11-liter can and a 5-liter can. How can he measure out exactly 7 liters ofwater?11. An egg vendor broke all the eggs that he was delivering to a local store. He could not remember howmany eggs there were in all. However, he did remember that when he tried to pack them intopackages of 2, 3, 4, 5 and 6 he had one left over each time. When he packed them into packages of 7,he had none left over. What is the smallest number of eggs he could have had in the shipment?12. Solve this logic number sequence puzzle by the correct digit: 8080=6; 1357= 0; 2022 = 1; 1999 = 3;6666=13. What comes in place of the blank in the following series?WE, SG, PJ, LN,14. At a fruit stand in Hogwarts, an orange costs P15.00, a pineapple costs P22.50, and a mango costsP12.50. Using the same logic, how much does an avocado cost?15. What number should replace the question mark?128115171416

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