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 cm^{3}. 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?

6.) A sack of rice weighs 50 kilograms. If the rice is to divided equally among 8 families, how many grams of rice would each family receive?

7.) What is the remainder when 4823 is divided by 11?

8.) A four-digit number has three equal digits, and the sum of the digits is 35. Which one is the different digit?

9.) Armand sold 40 cupcakes and Liza sold 50 cupcakes. The cupcakes were sold at the same price. If the total amount received was Php 6300, how much did Liza receive?

10.) T o go to school, it took Krystel 1hour and 40 minutes. She arrived at 7:25am. What time did she leave her house?

11.) The sum 9 + 99 + 999 is equal to 9 times what number?

**Average**

1.) At home, a jar contains a number of candies. Andrew ate 2/7 of the number of candies. The next day he ate 1/5 of the remaining number of candies. On the third day, he ate 1/2of the remaining number of candies. If 8 candies remain, how many candies were there initially?

2.) The sum of two numbers is 78 and their difference is 14. Find the two numbers.

3.) Three-fifths of the students in class like to play football while the rest like basketball. If there are 18 students who like basketball, how many more students like football than basketball?

4.) Elsa is running at a rate of 360 meters/min. Find her rate in cm/sec.

5.) A basketball team scores an average of 53 points per game in its first 4 games and an average of 52 points per game in its first 5 games. How many points did the team score in its 5th game?

6.) Yvonne needs 3 1/3 cups of raisins for baking fruitcake. A package contains 2/3 of a cup of raisins. How many packages should Yvonne buy?

**Difficult**

1.) The area of the shaded region is 48 cm^{2}. Find the area of the circular ring in terms of π.

2.) Find the sum of the numbers in the 20th triple: (1, 4, 7), (2, 6, 9), (3, 8, 11), (4, 10, 13) …

3.) Three guavas cost two apples cost Php 155, while five guavas and four apples cost Php 285. What is the cost of each guava?

4.) The figure shown is formed by 17 identical squares of side 3 cm. Find the perimeter of the figure.

5.) Three cans and three pails can hold 18 liters of water. A pail can hold 1.5 liters more than a can. What is the capacity of one can?

6.) A square piece of paper is folded into two halves to form two rectangles. If each rectangle has a perimeter of 27 cm, find the perimeter of the original square paper.

**Tiebreaker**

1.) The value of √2019 is between what two consecutive integers?

2.) Two pieces of circular tablecloths with areas 25π cm^{2 }and 49π cm^{2 }are overlapped as shown. There is

an overlap of 10π cm^{2}. Find the total area of the two pieces of tablecloths in terms of π.

3.) Find the area of the shaded region.

Do-or-Die

1.) What is 0.177 ÷ 0.02?

**Answer key**

**Easy**

1.) 21

2.) 100

3.) 64^{○}

4.) 216 cm^{2}

5.) 9996

6.) 6250

7.) 5

8.) 8

9.) Php 3500

10.) 6:45 AM

11.) 123

**Average**

1.) 28

2.) 32, 46

3.) 9

4.) 600 cm/sec

5.) 48

6.) 5

**Difficult**

1.) 96π cm^{2}

2.) 107

3.) Php 25

4.) 108 cm

5.) 2.25 liters

6.) 36 cm

Tiebreaker

1.) 44 and 45

2.) 64π cm^{2}

3.) 72 cm^{2}

**Do-or-Die**

1.) 8.85

The pdf file can be downloaded **here**.