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?

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Solution: will be discussed in a separate post.

Answer: 8 square units

42.) What is the least common multiple of 168 and 420?  Continue reading “Grade 7 MTAP 2015 Questions with Solutions Part 5”

Grade 7 MTAP 2015 Questions with Solutions Part 1

Below are actual MTAP Questions that has been released. I have created a detailed solution for each question. In this post, we answer 1-10. You can also read the solutions of problems 2-20.  The file can be downloaded here.

1.) Simplify: 2(3)^2 - 3(2)^3 + (1 - 4)^3

Solution
2(3)^2 - 3(2)^3 + (1-4)^3
= 2(9)- 3(8) + (-3)^3
= 18 - 24 + (-27)
= -33

Answer: -33

2.)  By how much is 3 – 1/3 greater than 2 and 1/2?

Solution

3 - \frac{1}{3} = 2 \frac{2}{3}
2 - \frac{1}{2} = 1 \frac{1}{2}

Subtracting the two results, we have  Continue reading “Grade 7 MTAP 2015 Questions with Solutions Part 1”