# Category Archives: Problems with Solutions

## 2004 Grade 2 MTAP Sectoral Finals

2004 Metrobank-MTAP-NCR Math Challenge

A. 15-second questions – 2 points each

1) There are 48 pupils in a class. If 1/6 are absent, how many are present?

2) What is the remainder when 97 is divided by 4?

3) How many prime numbers are there between 10 and 20?

4) Jasmin and Jack bought two pairs of shoes. Each pair cost P425, how much in all did they pay?

5) Eight boys have P4.50 each. How much money do they have in all?

## Grade 8 MTAP 2015 Elimination Questions with Solutions – Part 1

Below is the first part of the Grade 8 MTAP 2015 Elimination Questions with Solutions and answers. If you find any errors, please comment on the box below.

1.) Find the average of the numbers -1, 3/2, and 1/2.

Solution

(- 1 + 3/2 + 1/2)/3 = 1/3

2.) How much larger is 2/3 than 1/6?

Solution
2/3 – 1/6 = 4/6 – 1/6 = 3/6 = 1/2

3.) If one ream contains 500 sheets of paper and a sheet of paper is 0.3 mm thick, how thick is one ream in meters?

Solution

500 × 0.3mm = 150 mm = 0.15m

4.) What is the second largest number among numbers $\sqrt{2}$, 3/2 , 1.4, $\sqrt{3}$ and 1.6?

Solution

$\sqrt{2}$ is around 1.41 and $\sqrt{3}$ is around 1.7.

5.) If an inch is about 2.54 cm, what is 1 cm to the nearest hundredth of an inch?

Solution

$1:2.54 = x: 1, x = 0.39$

## Grade 7 MTAP 2015 Questions with Solutions Part 2

This is the second part of the full solution series for the MTAP 2015 Questions with solutions. You may also want to read the solutions for problems 1 – 10 and download the questions.

11.) Danny had some stickers. He gave 1/3 of the stickers plus 1 sticker to his brother. Then, he gave 1/3 of the remaining stickers plus 4 stickers to his sister. Finally, he gave ½ of what remained plus 3 stickers to best friend. He found that he had 4 stickers left. How many stickers did Danny have at first?

Solution
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

## 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 6 MTAP Reviewer – Set 9

This is the 9th set of the MTAP Reviewer for Grade 6.

1. Yana bought 20 blouses for Php300 each. He sold 10 blouses at a 20% profit and the remaining at a 10% profit. How much was her profit after selling all the t-shirts?
2. What is the sum of 1 – 2 + 3 – 4 + 5 – 6 + 7 – 8 + 9?

3. Amy baked a cake and gave ½ to her children. He gave 1/3 of the remaining cake to her neighbors. What fraction of the cake was left?

4. Karen started studying at 7:45pm last night. She said that she studied for 2 hours and 30 minutes with a 15-minute snack break. What time did she finish studying?

5. The volume of a cube is 125 cubic centimeter. What is its surface area?

6. The sum of two numbers is 51. One is twice the other. What are the numbers?  Continue reading