2017 Grade 9 Math Challenge – Division Level with answer key

Below are the 2018 MTAP Grade 6 Math Challenge Division level questions and answers. Solutions will be posted later. More reviewers can be found on the Past Tests and All Posts pages.

Easy

1.) How many ten thousands are there in 2 234 188?

2.) Ana’s house is the fifth from one end of a street, and eighth from the other end. How many houses are there along this street?

3.) The base of an isosceles triangle is 10 cm and one of its legs is 18 cm. What is its perimeter?

4.) What number is 27 less than the sum of 50 and 15?

5.) Arnold can walk 19.5 km in 3 hours. How many kilometers can we walk in 4 hours?

6.) What is 12% of 150?

7.) The sum of three consecutive numbers is 93. What is the smallest number?

8.) A store is offering a 30% discount to all its items. If the tag price of a pair of shoes is ₧1500, how much will it be after the discount?

9.) In the number 47__, what is the digit to be placed on the blank so that the number is divisible by 6?

10.) One-half kilo of used newspapers costs ₧36. How much does three-fourths of a kilo cost?

11.) What is the sum of the measures of the angles of a heptagon?

Average

1.) What is the largest 4-digit even number that can be formed using the digits 8, 1, 7, and 5 once?

2.) The length of a rectangle is 4 cm longer than its width. If its area is 96cm^2 , what is its length?

3.) A school hired several buses to take 446 pupils on a field trip. If each bus can accommodate at most 70 pupils, at least how many buses should be hired?

4.) Round the sum of 644 338 and 755 884 to the nearest thousands.

5.) Twenty rabbits are put in 4 cells, so that there are different numbers of rabbits in each cell, and each cell contains at least 3 rabbits. What is the largest possible number of rabbits in one cell?

6.) What is 45 meters per minute in centimeters per second?

Difficult

1.) Simplify: [2 × (3 + 6) – 3 × (4 – 2)] ÷ (6 ÷ 2).

2.) A man sold one-fifth of his land, and then sold again two-thirds of what remained. He had 3 \dfrac {1}{3} hectares left. How much land had he at first?

3.) If 4 apples cost the same as 9 bananas, and 4 melons cost the same as 10 bananas, how many melons can be bought for the price of 20 apples?

4.) Alvin can finish cleaning their house in 4 hours, while his younger sister can finish in 6 hours. If they do it together, what fraction of the house can they clean in an hour?

5.) Two trains leave two different towns, 250 km away from each other, and travel toward each other at the rates of 40 and 50 km per hour, respectively. In how many hours are they 43 km apart?

6.) How many prime numbers less than 100 are there?

Tiebreaker

1.) There are 2100 pupils in a school, and 60% of the pupils are children with an OFW parent. How many pupils in this school have parents who are not OFWs?

2.) If the base angles of an isosceles triangle are 15○ larger than the vertex angle, what are the angles of the triangle?

3.) A rectangular paper 5 cm by 14 cm is to be cut completely into square pieces. What is the least number of pieces that can be made?

Do-or-Die

1.) How many complete turns will a car wheel with a diameter of 70 cm make to cover 0.28 km?

Answer Key

Easy
1.) 223
2.) 12
3.) 46 cm
4.) 38
5.) 26
6.) 18
7.) 30
8.) Php 1050
9.) 4
10.) Php 54
11.) 900^\circ

Average
1.) 7518
2.) 12 cm
3.) 7
4.) 1 403 000
5.) 8
6.) 75

Difficult
1.) 4
2.) 12 \dfrac {1}{2} ha
3.) 18
4) \dfrac {5}{12}
5.) 2.3
6.) 25

Tiebreaker
1.) 840
2.) 50^\circ,  65^\circ, 65^\circ
3.) 7

Do-or-Die
1.) 127

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