This is the 2015 Metrobank-MTAP-NCR Math Challenge Sectoral Level for Grade 9. Please inform me if you see any errors.
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1.) If , find .
2.) In a cube with sides of length 1 cm, one vertex is denoted by A. What is the sum of the distances from A to each of the other vertices of the cube?
3.) Find two positive numbers in the ratio 7:12 so that the bigger number exceeds the smaller by 10.