Grade 5 MTAP Division Finals Round

These are the Math Challenge Questions for Grade 5 Division Finals.
More past tests can be found here. If you have old tests, kindly send it to mtapreviewers@gmail.com, so we can share it here with answers/solutions.

15-Second Questions

1.) Express 3/8 as a decimal.

2.) What fraction in lowest terms is equal to 45%?

3.) Write 5 × 105 + 7 + 104 + 6 × 102 + 8 in standard notation.

4.) Two numbers are in the ratio 5:12. The bigger number is 108. What is the smaller number?

5.) If a boat traveled 560km in 8 hours, what was its speed in kilometers per hour?

6.) What number is 25 more than the product of 12 and 15?

7.) What is N in 15N = 225?

8.) What is the number with a prime factorization of 23 × 32 × 5?

9.) How many 25-centavo pieces are equal to P37.50?

10.) Express the product of 50 000 × 60 in scientific notation.

11.) What is the prime factorization of 240.

12.) The area of a square is 625cm^2. What is its perimeter?

30-Second Questions
1.) Robert mixes 3 bags of sand with 2 bags of cement. How many bags of sand should he mix with 12 bags of cement?

2.) Find the difference of (8 3/5 × 3) from 18 ½.

3.) Three loaves of bread cost P127.50. How much do 2 loaves cost?

4.) A machine stamps 250 envelopes in 1 2/3 minutes. How many can it stamp in a minute?

5.) The product of two numbers is 15 5/6. If one number is 3 1/3, what is the other?

6.) The perimeter of an isosceles ∆ABC is 53cm. If the base is 17cm, what is the length of each leg?

7.) Of the boys who tried out for a basketball team, 65% passed. If 13 players made it to the team, how many boys tried out?

1-Minute Questions
1.) Nine times Eva’s age decreased by 12 and divided by 3 gives 32. How old is Eva?

2.) What is the regular price of a shirt bought for P175.00 at a discount of 30%?

3.) A fast train traveled at 90km/hr for 3 hours and at 85km/hr for 3 ½ hours. What was its average speed? Give the answer to the nearest tenth of a km.

4.) The distance around a standard tennis court is 228 feet. If the length of the court is 6 feet more than twice the width, find the dimensions of the court.

5.) The three angles of a triangle are consecutive multiples of 5. What is the biggest angle?

6.) Twenty percent of 93.75 is what percent of 75?

7.) A triangle and a square have the same base. If they have equal areas, how do their altitudes compare?

8.) Find at least one 5-digit number so that 5[] 34[] is divisible by 5 and 9.

Answer Key

15-Second Questions
1.) 0.375
2.) 9/20
3.) 570 608
4.) 45
5.) 70 or 70 km/hr
6.) 205
7.) 15
8.) 360
9.) 150
10.) 3 x 106
11.) 24 × 3 × 5
12.) 100cm

30-Second Questions
1.) 18
2.) 7 3/10
3.) P85.00
4.) 150
5.) 19/4 or 4 ¾
6.) 18cm
7.) 20

1-Minute Questions
1.) 12 years old
2.) P250.00
3.) 87.3 km/hr
4.) w = 36ft l = 78ft
5.) 65ᵒ
6.) 25 percent
7.) The altitude of the triangle is twice the altitude of the square.
8.) 56 340 or 51 345. Ones digits must be either 0 or 5. Sum of the digits must be a multiple of 9.

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