# 2008 Grade 5 Math Challenge – Division Level with answer key

Below are the 2018 MTAP Grade 5 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.) Give the greatest common factor of 45, 75, 120.

2.) Write $6 \times 10^6 + 6 \times 10^4 + 6 \times 10^2$ as one number.

3.) Write 85% as a fraction in lowest terms.

4.) How many 25-cent pieces are equal to Php 75?

5.) Give the prime factorization of 98.

6.) What is the smallest whole number that rounds to 5000 to the nearest thousand?

7.) In a class of 40, 25 are on the honor roll. What percent is this?

8.) The sum of two numbers is 20. If one number is 8 more than the other, give the two numbers.

9.) If 9 is subtracted from 4 times a number, the result is 71. What is the number?

10.) What is the quotient of $\dfrac {15}{6}$ divided by $\dfrac {1}{4}$

11.) The perimeter of a square is 19.2. How long is one side?

Average

1.) Joe bought a pair of shoes for Php 695 and a pair of socks for Php 65. How much change did he get from the Php 1000-bill he gave the cashier?

2.) 35 is what percent of 140?

3.) In $\Delta ABC$, if $\angle A = 40^\circ$ and $\angle B = 65^\circ$ , what is $\angle C$?

4.) The circumference of a circle is 26.4 cm. Find the diameter. Use pi = $\dfrac {22}{7}$

5.) In a grocery store, apples cost Php 15 each. A vendor sells the same kind at Php 168 a dozen. How much do I save if I buy dozens from the vendor?

6.) Of 225 Grade 5 pupils, 44% are under 11 years old as of December 31. How many pupils are there?

Difficult

1.) The length of a rectangle is 5 cm more than the width. The perimeter is 70 cm. Find the length and width of the rectangle.

2.) 20% of 120 is what percent of 96?

3.) How much money is deposited at a 3.5 simple interest if the interest in one year is Php 2450.

4.) Nick use wire to make the frame of a cube with a volume of $125 dm^3$. What is the total length of the edges of the frame?

5.) Jude counted 75 electric poles along their route. If the poles are 50 m apart, what is the distance in kilometers between the first and last poles?

6.) The scale of a map is 1 cm ∶ 50 km. How far apart are two cities that are 3.2 cm apart on the map?

Tiebreaker

1.) What is the remainder when 300 is divided by 27?

2.) The width of a rectangle is 26.4 cm and its perimeter is 117.8 cm. What is its length?

3.) Nestor owns 27 tricycles with a total of 66 wheels. How many more bicycles than tricycles are there?

Do-or-Die

1.) A salesman sold one new car for Php 950 000 and two used cars for Php 50 000 and Php 300 000. For new cars he gets a commission of 12% and 15% for used cars. How much commission in all did he get?

Easy
1.) 15
2.) 6 060 600
3.) $\dfrac {17}{20}$
4.) 300
5.) $2 \times 7^2$
6.) 4500
7.) 62.5
8.) 6, 14
9.) 20
10.) 10
11.) 4.8

Average
1.) Php 240
2.) 25
3.) $75^\circ$
4.) 8.4 cm
5.) Php 24
6.) 99

Difficult
1.) length = 20 cm; width = 15 cm
2.) 25
3.) Php 70 000
4.) 60 dm
5.) 3.7 km
6.) 160 km

Tiebreaker
1.) 3
2.) 32.5 cm
3.) 3

Do-or-Die
1.) Php 196 500