2019 Grade 8 Math Challenge Division Finals Questions and Answers (with PDF)

Below are the 2019 MTAP Grade 8 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.

1.) If

$25^x = \dfrac{5^{x-2}}{3^{x+2}}$,

find $x$.

2.) Solve for $x$ in the equation $|3x - 2| = 4$.

3.) A computer screen saver displays a circle of radius of 2cm and enlarges it. What is the radius of the new circle if its area is four times the original?

4.) Factor completely: $6x^3 + x^2 - 2x$.

5.) Find the solution set of

$\dfrac{2}{3}x < 3x + \dfrac{2}{9}$.

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.

Below are the 2019 MTAP Grade 6 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.) What is the answer to 100 – 99 + 98 – 97 + 96 – 95 + … + 2 – 1?

2.) When 20 is divided by n, the quotient is 3 and the remainder is 2. What is n?

3.) What is the smallest natural number n which will make the product of 12 and n divisible by 28?

4.) What is the maximum number of Mondays that there can be in the month of February?

Below are the 2019 MTAP Grade 5 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 x = 5 + 10 + 15 + 20 + 25 and y = 13 + 14 + 15 + 16 + 17, what is x – y?

2.) If $\dfrac {a + b}{b} = \dfrac {11}{8}$, what is the value of $\dfrac {a}{b}$?

3.) Express as decimal the sum of $1 + \dfrac {1}{2} + \dfrac {1}{3} + \dfrac {1}{4} + \dfrac {1}{5} + \dfrac {1}{6}$.

4.) If x : 8 = y : 32 and x + y = 25, what is y – x?

5.) S = $1 + 1^2 + 1^3 + 1^4 + 1^5 + 1^6.$ How many prime factors does S have?

6.) A bell sounds at the indicated number of times at regular intervals as follows: …, 8, 1, 9, 1, 10, 1, 11, 1, 12, 1, 1, 1, ___, ___… What are the next two numbers? Continue reading

2019 Grade 4 Math Challenge Division Finals Questions and Answers (with PDF)

Below are the 2019 MTAP Grade 4 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.) Find the number of the digit 1 in the numbers 1, 2, 3, . . . , 100.

2.) Admission tickets to a variety show costs Php 80 for adults and Php 50 for kids. The ratio of kids to adults is 5:2. If they paid Php 10,000, find the number of adults in the group.

3.) How large is a base angle of an isosceles triangle if its vertex angle is 52?

4.) The volume of a cube is 216 cm3. What is the total area of the faces of the cube?

5.) What is the largest 4-digit number that is a common multiple of 3 and 4?  Continue reading