Metrobank-MTAP-DepEd Math Challenge 2013 Individual Finals • Grade 7 • Category A Name:
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Part I. Write your answer on the space before each item. Each correct answer earns 2 points. 1. What is the largest digit A that will make 671, 3A2 divisible by 12? 2. If 26 increased by 4 times a number gives the same result as 1 increased by 9 times the number,
what is the number? 3. Rene is 8 years younger than Ricky. Last year, Ricky was twice as old as Rene. How old will Rene
be next year? 4. The product of two positive integers is 10 , 584 and their LCM is 252. What is their GCF?
store sold 8 more more Php 150 shirts shirts than than Php 175 shirts. shirts. If it receiv received ed Php 2500, how many Php 5. A store 175 shirts did it sell? 6. Two milk cans, A and B , contain a total of 60 pints of milk. If 12 pints are removed from B , there remains in B half of what A contains. How much milk does A contain? 7. What is the remainder when 3 2013 is divided by 8?
two numbe numbers rs exceeds exceeds their their differe difference nce by 12. If their product product is 102, what are the 8. The sum of two numbers? 9. If n is the smallest positive integer that leaves a remainder of 4 when divided by each of 5, 6, and 7, what is the product of the digits of n n ? 10. If 2 ∗ 3 = 9, 3 ∗ 2 = 11, 3 ∗ 5 = 14, and 5 ∗ 3 = 18, what is 6 ∗ 5? 11. What is the largest integer less than 2013 that is divisible by 123? 12. Find the largest digit B such that 145, 6B 8 is divisible by 21.
10-centavo o and 25-centav 25-centavo o coins. If there are 123 coins in all, 13. A can contains Php 19 .50 worth of 10-centav how many 10-centavo coins does the can contain? circular flower flower garden is surrounde surrounded d by a path of uniform width. If the diameter of the garden garden 14. A circular is 10 m, and the width of the path is 2 m, what is the area of the path in terms of π ? 15. What is the area of the triangle with vertices at ( −1, 1), (4, 1), and (6, 3)? Part II. Write a complete and neat solution to each problem. Each correct solution earns 3 points. π ) of the largest sphere that can be cut cm. What is the volume volume (in terms terms of π 1. A wooden cube is of side 18 cm.
from it? estimate ted d that that the aver average age diame diamete terr of peeled peeled logs logs coming coming to a sawm sawmill ill is 20 in. What What is the 2. It is estima cross-section area of the largest square timber post that can be cut from it? segment joining the points (−6, 4) and (x, −2) is 10 units. Find all possible values of x x . 3. The length of the segment passes through through (−1, −4) and (2, 5) also passes through (k, 2). Find k. 4. The line that passes rectangular lar prism has has a volume of 180 cm3 . Edge B is twice edge A, while edge C is 1 cm more 5. A right rectangu than three times edge A. Find the dimensions of the prism. Part III. Write a complete and neat solution to each problem. Each correct solution earns 5 points.
vertices at A (−5, 5), B (2, 9), C (6 (6, 9), D(10, 1), and E (0 (0, 0)? 1. What is the area of the pentagon with vertices swimming g pool is 50 m long and 30 m wide. wide. It is 3 m deep deep at one end and 1 m deep at the other other end. end. 2. A swimmin What volume of water will fill it to within 2 dm from the brim? ordered pairs pairs (a, b) of positive integers that satisfy the equation 4a + 7b = 72. 3. Find all ordered
