Metrobank – MTAP – DepEd Math Challenge 2013
Regional Team Orals – Grade 6
15-Second Questions
1. Two numbers are in the ratio 5:8. If their difference is 60, what is the smaller number?
[ 100 ]
2. The edge of a cube is double that of another cube. How many times as big is the volume of the bigger than the smaller cube?
[ 8 times bigger ]
3. Alyssa is as old in months as Bernadette in years. The sum of their ages is 13 years. How old is Alyssa?
[ 1 year old ]
4. Which has a greater volume? A] two boxes of the same dimensions or
[B]
B] one box with twice the dimensions of each box?
5. If 3 is added to the numerator and the denominator of 9/13, give the simplest form of of the resulting fraction?
[ 3/4 ]
6. Write the product of 5 000 and 8 000 in scientific notation.
[ 4 x 107 ]
7. The area of a square is 49 cm2. If its side is trebled, what is the area of the new square?
[ 441 cm2 ]
8. The product of two numbers is 1. One number is 1 2/5. What is the other number?
[ 5/7 ]
9. The sum of two whole numbers is 100. One number is divisible by 7 and the other by 11.
Find the number divisible by 7.
[ 56 ]
10. The sum of the edges of a cube is 240 cm. Find the total surface area.
[ 2400 cm2 ]
11. Which fraction is the smallest among the fractions in the set {11/12, 13/16, 17/20,19/20}?
[ 13/16 ]
30-Second Questions
1. If 4/5 of a number is 3/10, what is 2/3 of the number?
[ 1/4 ]
2. A residential compound has parallel frontage and back side whose measures are
93 m and 74 m. If the distance of those sides is 72 m, what is the area of the compound?
[ 6012 m2 ]
5
3
3. How much is 3 greater than 5 ?
[ 118 ]
4. What percent of 230 is 25% of 184?
[ 20% ]
5. From Manila, it takes 5 1/3 hours to reach Baguio via the newly constructed expressway.
To reach Baguio at 4:30 pm, what time should you leave Manila?
[ 11:10 am ]
6. Bernadette pays ₱8 for a one-way fare to school. For how many two-way fares will her ₱100 be enough? [6]
1-Minute Questions
1. The average of three fractions is 1. If two of the fractions are 1/2 and 1/4, find the third fraction. [ 9/4 ]
3
2. The volume of a rectangular box is 30 dm . If it is 3 dm long and 4 dm wide, what is the total surface area of all the six sides?
[ 59 dm2 ]
3. A flower garden has an area of 765 m2. If 105 m2 is set aside for sidewalk and the rest made into plots each of an area 3 3/4 m2, how many plots can be made?
[ 176 plots ]
4. What is the smallest number with which to multiply 980 to make it a perfect cube?
[ 350 ]
2
2
5. The operation * is defined as a * b = a + ab – b . Find the value of (3 * 2) * 1.
[ 131 ]
6. In a farm, there are 21 more ducks than pigs. If there are 132 legs, how many ducks are there?
[ 36 ]
Clincher:
1. The average of three numbers is 27. If two of the numbers are 25 and 27, what is the third number?
2. What is the units digit of 291?
3. A group of 45 pupils are lined up and counted off from 1 to 45. Each pupil who counted a multiple of 3 is given a seat. Pupils who remained in line counted off again from 1, and those who counted a multiple of 3 are each given a seat. The procedure was repeated. How many pupils remained in the line after the fourth round of counting?
DoD.
How many 3-digit numbers can be formed with at least one 8 but with no zeros used?
[ 29 ]
[8]
[ 10 ]
[ 217 ]
6.1. The average of three fractions is 1. If two of the fractions are 1/2 and 1/4, find the third fraction. 6.2. The volume of a rectangular box is 30 dm3. If it is 3 dm long and 4 dm wide, what is the total surface area of all the six sides?
6.3. A flower garden has an area of 765 m2. If 105 m2 is set aside for sidewalk and the rest made into plots each of an area 3 3/4 m2, how many plots can be made?
6.4. What is the smallest number with which to multiply 980 to make it a perfect cube?
6.5. The operation * is defined as a * b = a2 + ab – b2. Find the value of (3 * 2) * 1.
6.6. In a farm, there are 21 more ducks than pigs. If there are 132 legs, how many ducks are there? 6.1. The average of three fractions is 1. If two of the fractions are 1/2 and 1/4, find the third fraction. 6.2. The volume of a rectangular box is 30 dm3. If it is 3 dm long and 4 dm wide, what is the total surface area of all the six sides?
6.3. A flower garden has an area of 765 m2. If 105 m2 is set aside for sidewalk and the rest made into plots each of an area 3 3/4 m2, how many plots can be made?
6.4. What is the smallest number with which to multiply 980 to make it a perfect cube?
6.5. The operation * is defined as a * b = a2 + ab – b2. Find the value of (3 * 2) * 1.
6.6. In a farm, there are 21 more ducks than pigs. If there are 132 legs, how many ducks are there? 6.C3. A group of 45 pupils are lined up and counted off from 1 to 45. Each pupil who counted a multiple of 3 is given a seat. Pupils who remained in line counted off again from 1, and those who counted a multiple of 3 are each given a seat. The procedure was repeated. How many pupils remained in the line after the fourth round of counting?
6.DoD. How many 3-digit numbers can be formed with at least one 8 but with no zeros used?
6.C3. A group of 45 pupils are lined up and counted off from 1 to 45. Each pupil who counted a multiple of 3 is given a seat. Pupils who remained in line counted off again from 1, and those who counted a multiple of 3 are each given a seat. The procedure was repeated. How many pupils remained in the line after the fourth round of counting?
6.DoD. How many 3-digit numbers can be formed with at least one 8 but with no zeros used?
6.C3. A group of 45 pupils are lined up and counted off from 1 to 45. Each pupil who counted a multiple of 3 is given a seat. Pupils who remained in line counted off again from 1, and those who counted a multiple of 3 are each given a seat. The procedure was repeated. How many pupils remained in the line after the fourth round of counting?
6.DoD. How many 3-digit numbers can be formed with at least one 8 but with no zeros used?
6.C3. A group of 45 pupils are lined up and counted off from 1 to 45. Each pupil who counted a multiple of 3 is given a seat. Pupils who remained in line counted off again from 1, and those who counted a multiple of 3 are each given a seat. The procedure was repeated. How many pupils remained in the line after the fourth round of counting?
6.DoD. How many 3-digit numbers can be formed with at least one 8 but with no zeros used?
