Grade 7 MTAP 2015 Questions with Solutions Part 5

This is the fifth part of the Metrobank-MTAP Math Challenge Questions for Grade 7. In this post, we discuss the solutions to number 41-50. You can also read the solutions to 1-10, 11-20, 21 – 30, and 31-40.

41.) Each square in the figure has side length 1. The curve each square is a circular arc with center at a corner of the square. What is the area of the shaded region?

Solution: will be discussed in a separate post.

42.) What is the least common multiple of 168 and 420?  Continue reading

Grade 7 MTAP 2015 Questions with Solutions Part 3

This is the third part of the Metrobank-MTAP Math Challenge Questions for Grade 7. In this post, we discuss the solutions to number 21-30. You can also read the solutions to 1-10 and 11-20.

21.) The average of five numbers is 14. The average of the three of the numbers is 12. What is the average of the other two numbers?

Solution

The average of five numbers is 14 means that their sum is 70. The average of the three of those numbers is 12 means that their sum is 36. Now, 70 – 36 = 34 is the sum of the remaining two numbers. Their average is 34/2 = 17.

If we let $x$ = number of stickers
$\frac{1}{3}x + 1$ = number of stickers given to his brothers. If we subtract the stickers given to his brother, we have  Continue reading