# Category Archives: Solved Problems

## 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: … Continue reading

## Solved Problem 1: Largest 3 Digit Number

What is the largest number 3-digit number that can be formed between 300 and than 800 using the digits 2, 5, 8 and 6 if the digits cannot be repeated? Solution In this problem, we need to find a 3 … Continue reading

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## Shaded Area – Right Triangle Inscribed in a Circle

A right triangle is inscribed in a circle such that its longest side is the diameter of the circle. If the shorter sides of the triangle measure 6cm and 8cm, find the area of the shaded region. Use Solution A … Continue reading

## Shaded Region – Circle Inscribed in a Square

A circle with radius 3 cm is inscribed in a square. Find the area of the shaded region. Let pi = 3.14 and round your answer to the nearest tenths. Solution We know that area of shaded region = area … Continue reading

## Shaded Area – Square Inscribed in a Circle

The diagonal of the square inscribed in the circle below is 8cm. Find the shaded area. (Use pi = 3.14)               Solution From the diagram above, we can get the shaded area by subtracting … Continue reading