This is the 2017 Metrobank-MTAP-NCR Math Challenge Elimination Round for Grade 6 Questions 1-25. Questions 26 to 30 can be found **here**.

I will post the solutions very soon. If you see any errors, please inform me using the comment section.

1.) What is the value of 7 × 8 + 4 × 25 – 48 ÷ 3?

2.) If 16 is added to one-third of a number, the result is three times the number. What is the number?

3.) If my pet runs 300cm/sec and a bird flies 300m/sec, then the bird travels ______ times as fast as my pet.

4.) If n = 0.3, what is the value of 1/n?

5.) A class of 20 students averaged 66% on an examination. Another class of 30 students averaged 56%. What is the averaged percentage for all students?

6.) Paula spent 5% of her money on a magazine, 30% of it on a skirt, 25% of it on a bag and 10% of it on a T-shirt. If she had P1600 at first, how much did she have left?

7.) Alvin saved P 1 600 in May. He saved P2 000 in June. What is the percentage increase in Alvin’s savings from May to June?

8.) Robert has 30% as many marbles as Anthony. Anthony has 90% as many marbles as Aldwin. If Aldwin has 400 marbles, how many marbles does Robert have?

9.) The average length of 4 rods is 2.33m. The lengths of 3 rods are 1.88 m, 2.67 m and 2.4 m. What is the length of the fourth rod?

10.) A fax machine can fax 36 letters in 6 minutes. How many letters can it fax in 10 minutes?

11.) A worker can pack 45 boxes of shirts in 3 hours. How long does it take him to pack 255 boxes of shirts?

12.) Alex has 50% more money than Bob, and Carl has 25% more money than Bob. Altogether, they have a total of P 3 750. How much does Alex have?

13.) The total surface area of a cube is 54 square centimeters. How long is its edge?

14.) At a rate of 80km/hr, how many kilometers can I run in 18 minutes?

15.) If 2 mangoes weigh as much as 3 oranges and 2 oranges weigh as much as 30 grapes, how many mangoes weigh as much as 90 grapes?

16.) A bag contains 40 marbles of which 39 are green and 1 is blue. A marble is chosen from the bag. What is the probability that the marble is green?

17.) A container has 6 blue balls and 6 green balls. One ball is randomly selected. What is the probability that it is a green ball?

18.) The number 1 is both a square of an integer and the cube of an integer. What is the next larger integer which is both a square and a cube of a positive integer?

19.) If each letter in the word MATHEMATICS was written on a card and placed in a hat, what would be the probability of drawing a vowel?

20.) In a card game, Matt’s scores on each of the first five games are +13; -10; -20; +16; -10. At that time, the sum of the five scores of Paul is 25. How many points is Matt behind Paul?

21.) If A # B = (A × B) ÷ (A + B), calculate 8 # (5 # 5).

22.) Ric jogs along a road. Starting from the jeepney station, he jogs 4 m/s due north for 20 minutes, then 5 m/s due south for 15 minutes, and finally 3 m/s due south for 10 minutes. Find her final position from the station.

23.) A motorist made a 60-mile trip driving at an average speed of 20 miles per hour. On the return trip, the motorist drove at an average speed of 30 miles per hour. What was the motorist’s average speed for the entire trip?

24.) A train is travelling at the rate of 1 kilometer in 1 minute and 20 seconds. If the train continues at this rate, how far will it travel in one hour?

25.) A square and a regular octagon have the same perimeter. if the area of the square is 36 sq. cm., what is the length of a side of a regular octagon? Note: All the sides of a regular octagon are equal.

Answers:

1.) 140

2.) 6

3.) 100

4.) 3 1/3

5.) 60

6.) 480

7.) 25%

8.) 108

9.) 2.37 m

10.) 60

11.) 15 hrs

12.) Php 1, 500.00

13.) 3 cm

14.) 24 km

15.) 4

16.) 39/40

17.) 1/2

18.) 64

19.) 4/11

20.) 36

21.) 1 19/21

22.) 1,500 south of the station

23.) 24 kph

24.) 45 km

25.) 3 cm

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