2009 Grade 6 Math Challenge – Division Level with answer key

Below are the 2009 MTAP Grade 6 Math Challenge Divisions level questions and answers. Solutions will be posted later. More reviewers can be found on the Past Tests and All Posts pages.

Easy

1.) Express \dfrac {13}{25} as a decimal.

2.) What is 1 divided by \dfrac {1}{2} ?

3.) If \dfrac {1}{5} of a number is 15, what is the number?

4.) The diameter of a circle is 12.5 m. What is its radius in centimeters?

5.) One number is twice another and their sum is 174. What is the bigger number?


6.) What is the sum of the first 5 multiples of 5?

7.) If a man can walk 12 km in 3 hours, how long will it take him to walk 40 km?

8.) An angle is 20^\circ more than its complement. Find the angle.

9.) What percent of 80 is 12?

10.) What is the perimeter of a regular pentagon with a side of 25.5 cm?

11.) What is 5% of 50?

Average

1.) The sum of two numbers is 165. One number is twice the other . What are the 2 numbers?

2.) What is twice the product of the prime numbers between 30 and 40?

3.) What is 125 \times 125

4.) Jake had Php 1000. He bought 3 shirts and had Php 25 left. How much did each shirt cost?

5.) One side of a regular hexagon is 12 \dfrac {3}{4} cm. What is its perimeter?

6.) A circle has a circumference of 50.24 cm. What is its radius? Use Pi = 3.14.

Difficult

1.) The ratio of angles of a triangle is 2 : 3 : 7. What is the difference between the second and third angles?

2.) At a closing out sale, a sala set costing Php 28, 000 was sold for Php 22, 500. How much was the loss on the sale of 4 such sets?

3.) Chit wants to buy a cellphone worth Php 4, 450. She has only Php 250. How much does she have to save a week for 3 months to buy a cellphone?

4.) Two cubes have edges of 12 cm and 15 cm. How much greater is the volume of the bigger cube than that of the smaller cube?

5.) The average of 15 numbers is 35. If two of the numbers, namely 36 and 47, are removed, what is the average of the remaining numbers?

6.) At the usual 8 hours a day, 6 days a week workload schedule, Pete’s monthly pay is Php 14, 400. What is his average pay per hour?

Tiebreaker

1.) A bag bought at Php 280 was sold for Php 350. What was the gain in percent?

2.) If 2^2 \times 5 \times k is the prime factorization of 540, what is k?

3.) What are the two digit numbers that are multiples of both 6 and 9?

Do-or-Die

1.) Six squares are placed side by side as shown. What is the perimeter of the rectangle formed if each side of a square is 8 \dfrac {3}{4}



Answer Key

Easy

1.) 0.52
2.) 2
3.) 375
4.) 625
5.) 116
6.) 75
7.) 10 hours
8.) 55^\circ
9.) 15
10.) 127.5 cm
11.) 2.5

Average

1.) 55, 110
2.) 2294
3.) 15 625
4.) Php 325
5.) 76.5 cm
6.) 8 cm

Difficult

1.) 60^\circ
2.) Php 22 000
3.) Php 350
4.) 1647 cm^2
5.) 34
6.) Php 75

Tiebreaker

1.) 25
2.) 3^3
3.) 18, 36, 54, 72, 90

Do-or-Die

1.) 122.5 cm^2

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