Tag Archives: mtap reviewer

2016 Grade 9 Math Challenge – Elimination Round with answer key – Part I

Below are the 2016 Grade 9 Math Challenge – Elimination Round questions and answers – Part I. More reviewers can be found on the Past Tests and All Posts pages.

1.) Solve for x in \sqrt {2 - x} - 4 = 0.

2.) Find sin \theta if tan \theta - \frac{3}{4} and cos \theta < 0.

3.) What is the value of
tan \left( -\dfrac{17}{6}\pi\right)?

4.) Solve for x in
\dfrac{5}{x + 2} - \dfrac{2}{x + 1} = \dfrac{1}{2}.

5.) Solve for x in x^4 - 4x^2 - 5 = 0.

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2017 Grade 9 Math Challenge – Elimination Round with answer key – Part II

Below are the 2017 Grade 9 Math Challenge – Elimination Round questions and answers – Part II. More reviewers can be found on the Past Tests and All Posts pages.

26.) Find all possible values of x in the proportion (x – 3) : (x – 1) = (x + 6) : 20.

27.) An angle in a quadrilateral has measures 60^\circ, while the others have degree measures in the ration 3 : 5 : 7. Find the measure of the largest angle.

28.) In rhombus PQRS, \angle QPR = 4 \angle QSR. Find \angle PQS.

29.) The diagonals of rhombus STAY intersect at X. If AX = m + n, YX = 12, SX = 4m - n, and TX = 4n, find the length (in units) of the shorter diagonal.

30.) Find the perimeter (in units) of the rhombus STAY in the previous problem.

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2008 Grade 4 Math Challenge – Sectoral Level with downloadable PDF

Below are the 2008 MTAP Grade 4 Math Challenge Sectoral level questions and answers. Solutions will be posted later. More reviewers can be found on the Past Tests and All Posts pages.

Easy

1.) 0.778 is equal to how many percent?

2.) What is the sum of all odd numbers less than 10?

3.) A 47 meter long rope is divided into two pieces. One is 15 m longer than the other. How many meters is the longer one?

4.) If 3 mangoes cost Php 65, how much will a dozen cost?

5.) Two-fifths of a school are boys. If there are 165 girls, how many pupils are there?

6.) Which has a greater area, a rectangular garden with dimensions 40 m by 30 m, or a square garden with 35 meters on the side?

7.) What is \dfrac {1}{2} of the product of 8, 6, and 3?

8.) Rica cleaned \dfrac {1}{3} of a yard. Ana cleaned \dfrac {1}{2} of the remaining part. How much remained unclean?

Average

1.) What is the number, which when multiplied by itself, is equal to the product of 6 and 150?

2.) What percent of 240 is 25% of 192?

3.) What is the GCF of 420 and 588?

4.) What is the area of the bottom of a circular fountain with a radius of 6 m?

5.) The base of an isosceles triangle is 5 cm longer than a leg. If the perimeter is 38 cm, find the length of the base.

Difficult

1.) The length of a rectangle is twice its width. If the perimeter is 96 m, what is its area?

2.) If the figure ABMC is a straight line and AB is 62 cm, BC is 73 cm, and M is the midpoint of AC, how long is AM?

3.) A glass is 64.23 g when empty and 150.35 g when full of water. What is its weight when half-full of water?

4.) Fill in two digits in the blanks in 86 to make it divisible by 3, 4, and 5.

5.) Alice receives Php 40/hr for 8 hours daily and gets 125% of the regular rate. How much did she earn for 5 days of work?

Answers:

Easy
1.) 77.8%
2.) 25
3.) 36 meters
4.) Php 260
5.) 275
6.) square garden
7.) 12
8.) 1/3

Average
1.) 30
2.) 20%
3.) 84
4.) 113.04 m^2
5.) 16 cm

Difficult
1.) 512 m^2
2.) 67 cm
3.) 107.29 g
4.) 40
5.) Php 2,100

Here’s the link to download the pdf.

2018 Grade 2 Math Challenge Division Finals Questions and Answers

Below are the 2018 MTAP Grade 2 Math Challenge Division Finals questions and answers. Solutions will be posted later. More reviewers can be found on the Past Tests and All Posts pages.

Easy

1.) There are 784 popsicle sticks, bundled in groups of 100. How many bundles are there?

2.) Each mango costs Php 30. If you have Php 200, how many mangoes can you buy?

3.) To cut a log into two equal parts, a logger had to pay Php 100. If a log is to be cut into 6 parts, how much should the logger pay?

4.) From one can of juice, Nena can make 6 glasses of juice drink. If she will have 26 visitors, how many cans of juice should she buy?

5.) How many more fifteenths are needed to make \dfrac {7}{15} into 1 whole?

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2019 Grade 7 Math Challenge Divisionals Questions and Answers (with PDF)

Below are the 2019 MTAP Grade 7 Math Challenge Division Finals questions and answers. Solutions will be posted later. More reviewers can be found on the Past Tests and All Posts pages.

Easy

1.) If 1 megabyte is equal to 10^6 bytes and 1 gigabyte is equal to 10^9 bytes, how many gigabytes are there in 1 megabyte?

2.) Divide 2.4 \times 10^{-8} by 6 \times 10^8 and write the quotient in scientific notation.

3.) Point Q lies midway between points  P and R on a number line. What is the coordinate of R if P and Q have coordinates -16 and -7, respectively.

4.) How many sides does a regular polygon have if the measure of each interior angle is 160^\circ?

5.) Assume A and B are subsets of the set of integers. If A is the set of multiples of 2, and B is the set of multiples of 3, describe the elements of A ∩ B.

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