2019 Grade 6 Math Challenge Divisionals Questions and Answers (with PDF)

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.


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?

5.) The times for three runners in a 100 m dash are 9.85 seconds, 9.6 seconds, and 9.625 seconds. What is the winning time?

6.) How many whole numbers are there from 2.56 and 14.7?

7.) In my school, 75% of the boys play basketball. There are 120 boys in my school. How many of them do not play basketball?

8.) On a 20-item test, Gigi had 50% more right answers than she had wrong answers. Each answer was either right or wrong. How many questions did Gigi answer correctly?

9.) A triangle has sides of length 7 cm, 9 cm, and 14 cm. An equilateral triangle has the same perimeter. What is the length of each side of the equilateral triangle?

10.) A man has a rectangular patio in his garden. He decides to enlarge it by increase both length and width by 10%. What is the percentage increase in area? 21%

11.) When the water from full Tank A is emptied into Tank B, the water overflows. However, when the water from full Tank A is emptied into Tank C, the water fills only half of the tank. Which tank is the largest: A, B, or C?


1.) The degree measure of the angles of a triangle are in the ratio 1 ∶ 3 ∶ 5. What is the measure of the largest?

2.) What is the difference between 44.54 and 20.715?

3.) How many integers are there between − 20/7 and 6/5 ?

4.) When the positive integer n is divided by 6, the remainder is 3. What is the remainder when 3 × n is divided by 6?

5.) Two squares each with a perimeter of 12 cm are placed side by side. What is the perimeter of the resulting figure?

6.) Kiara bought a toy that was discounted 20%. If she saved Php15.00, what was the original price of the toy?


1.) The length of a rectangular is increased by 10% and the width is decreased by 20%. What is the percentage change in the area of the rectangle?

2.) A wire 80 cm in length is cut into two parts in the ratio 3 ∶ 1. Each part is bent to form a square. What is the total area of the two squares?

3.) If you can read 2.5 pages per minute, how many pages can you read in 2 hours?

4.) In a class of 30 students, 12 play football, and 17 play volleyball. Of these, 5 students do both. How many students in the class do not play football nor volleyball?

5.) A vendor buys oranges at 3 for Php25.00 and plans to sell them at 5 for Php45.00. How many oranges must he sell in order to make a profit of Php200.00?

6.) What number am I? I am a multiple of 7. I am also a multiple of 5. I am not 35 but I am also less than 100.

Tie Breaker

1.) A drinking water fountain leaks half a liter of water a day. How many liters does it leak in 6 days?

2.) Ian had 22 more marbles than James. But James lost 8 of his marbles at the playground. How many more marbles has Ian have than James?

3.) Roel’s car consumes 12 liters of gasoline for a 144 km trip. At this rate, how many liters of gasoline will be consumed by Roel’s car to travel 300 km?


After 5 tests, a pupil’s average was 80. After taking an examination which was counted as two test grades, his average dropped to 76. What was his grade on that examination?


1.) 50
2.) 6
3.) 7
4.) 5
5.) 9.6 seconds
6.) 12
7.) 30
8.) 12
9.) 10cm
10.) 21%
11.) Tank C

1.) 100 degrees
2.) 23.825
3.) 4
4.) 3
5.) 18cm
6.) Php75.00

1.) decreased by 12%
2.) 250 sq. cm
3.) 300
4.) 6
5.) 300
6.) 70

Tie Breaker
1.) 3
2.) 30
3.) 25

Do or Die: 66

The pdf can be downloaded here.

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