Below are the 2008 MTAP Grade 4 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.) What is the product of and

2.) How many numbers from 30 to 70 are divisible by 4?

3.) What is the product of the smallest 2-digit even number and the largest 2-digit even number?

4.) What is the smallest positive number that is divisible by 4, 6 and 15?

5.) What is the remainder when you divide 327 by 25?

6.) What is the prime number next to 9?

7.) For every 3 boys, there are 5 girls. For 35 girls, how many boys are there?

8.) A vendor has 5 dozen mangoes in a basket. After selling 3/5 of them, how many mangoes are left?

9.) Find the two numbers whose sum is 24 and whose product is 135.

10.) What number, when divided by 5, then multiplied by 8, gives 72 as the result?

11.) What is the greatest common factor of 60, 90, and 120?

Average

1.) A rectangle is 35 cm long. If the perimeter is 106 cm, what is its width?

2.) What is the remainder when 1088 is divided by 47?

3.) The cube of a 2-digit number 5A is 185 193. What is A?

4.) Nena needs dozens ribbons for her class. If she needs 30 cm for each ribbon, how many meters of ribbon has she to buy?

5.) How much more than ?

6.) Nelie spends 17 hours in a 2-week period practicing on the piano. How many hours does she practice in 5 weeks?

Difficult

1.) Ched spent 1/4 of her money, then gave 1/3 of what was left to her brother. She had Php 60 left. How much had she at first?

2.) A picture is enlarged to 4 times its original dimensions. If the new dimensions are 19.2 cm by 25.6 cm, what where the original dimensions?

3.) Of 96 pupils who took a qualifying test, 7/8 passed. Of those who passed, 3/7 had previously failed. How many of those who passed failed before?

4.) A faulty car meter records 36 km for a journey of 42 km. What distance will it record for a distance of 63 km?

5.) Chocolate bars come in packs of 10 and 15. If you need 100 bars, what is the least number of packs that you need to buy?

6.) If each side of a square is tripled, what happens to its area?

Tiebreaker

1.) Mike is 12 years old. This is 3 years less than 1/3 his father’s age. How old is his father?

2.) How many common factors, including 1, do 36 and 54 as factors?

3.) Find the smallest positive integer that has 8, 30, and 54 as factors.

Dor-or-Die

1.) If 4a + 5b + 7c = 13 and 4a + 3b + c = 19, what is a + b + c?

Answers:

Easy

1.) 144

2.) 10

3.) 980

4.) 60

5.) 2

6.) 101

7.) 21

8.) 24

9.) 9 and 15

10.) 45

11.) 30

Average

1.) 18 cm

2.) 7

3.) 7

4.) 9

5.) 179

6.)

Difficult

1.) Php 120

2.) 4.8 cm by 6.4 cm

3.) 36

4.) 54 km

5.) 7

6.) Is 9 times larger

Tiebreaker

1.) 45 years

2.) 6

3.) 1080

Do-or-Die

1.) 4