Below are the 2003 MTAP Grade 3 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.) What is the value of 8 in 18 735 290?

2.) Round each factor and estimate the product

3.) How many common multiplies of 3 and 4 are there between 10 and 80?

4.) What is the remainder when 500 is divided by 23?

5.) What digit can you put in the blank to make 458_ divisible by 6?

6.) Change to an improper fraction.

7.) Change 5.45 to a mixed number with fraction in lowest terms.

8.) A rectangle is 25 m long and 21 m wide. What is its perimeter?

9.) What is 15% of 750?

10.) Pete is 7 years older than Paul? The sum of their ages is 31 years. How old is Pete>

11.) What is of 27 plus of 48?

Average

1.) Jude has 12 oranges. He gave each of his friends of an orange and had just left for himself. How many of his friends were there?

2.) A kilo of grapes costs Php 120. How much will I pay for 2.75 kilos?

3.) A tailor has 87 m of cloth. A uniform needs m. How many uniforms can he make?

4.) A pair of shoes marked Php 780 was sold for Php 624. What was the present discount?

5.) In a barangay, 2 out of 3 voters voted for Mr. Sison. If Mr. Sison got 1686 votes, how many voters cast their votes?

6.) How many 7 dm pieces of ribbon ccan be cut from a spool of ribbon 5 meters long?

Difficult

1.) Five times a number is 135. What is 17 more than 6 times the number?

2.) A car uses 9 liters of gasoline for a distance of 75 km. How many liters will be needed for a round trip to a town 137.5 km away?

3.) A grass lawn is 75 m long and 50 m wide. In the middle there is a rectangular flower plot that is 18 by 15 m. What is the area of the grass?

4.) Three numbers are in the ratio 3 : 4 : 5 and their sum is 204. What are the 3 numbers?

5.) What number nearest to 7350 is exactly divisible by 72?

6.) A bathroom is 2.5 m long and 1.6 m wide. How many square tiles each 5 cm on a side area needed to cover its floor?

Tiebreaker

1.) If , what is ?

2.) All prices increased by 15%. What is the present price of an item that used to cost Php 90?

3.) A contractor finished 2.76 km of road in 12 days. On the average how many meters of road was finished in one day?

Do-or-Die

1.) A class of 39 students standing in a circle counter 1, 2, 3,… until 39. Then, those who counted an odd number sat down. Those standing counted 1, 2,… once more. Those who counted odd numbers sat down too. How many students remained standing?

Answers:

Easy

1.) 8 000 000

2.) 6300

3.) 6

4.) 17

5.) 4

6.)

7.)

8.) 92 m

9.) 112.5

10.) 19

11.) 21

Difficult

1.) 15

2.) Php 330

3.) 37

4.) 20

5.) 2529

6.) 71

Difficult

1.) 179

2.) 33

3.)

4.) 51, 68, 85

5.) 7344

6.) 1944

Tiebreaker

1.) 23 800

2.) Php 10 350

3.) 230

Do-or-Die

1.) 9