2017 Metrobank-MTAP-DepEd Math Challenge
Division Finals - Team Oral Competition GRADE 7
15-Second Questions
1. What What is 4(6 4(6
− 8) − (10 + 3)?
2. Solve Solve for for x if x1 + 3. Simplify Simplify
2
y
[
−21 ] [ y /(y − 2) ]
= 1. Simplify your answer.
b×b3 . b+b+b
[ 31 b3 ]
4. Change Change the decim decimal al 0. 0.36 to a fraction in lowest terms.
[ 9/25 ]
5. Translate ranslate the expression expression “four-fifths “four-fifths of a number number b less than the product of a a and c and c..
[ ac
6. Ho How w many liters liters is equal equal to 540 dm3 ?
−
4 5
b]
[ 5 40 ]
√ 7. What is the largest integer integer less than − 200? [ −15 ] 8. Expand Expand (q (q − r + 2)(q 2)(q − r − 2). [ q − 2q r + r + r − 4 ] 9. If A A has 30 elements, B elements, B has 15, and A and A ∪ B has 38, how many elements does A ∩ B have? [7] 2
2
4
2
2
10. Find the length of a rectangle rectangle whose perimeter perimeter is 84 m, and whose length length is 12 m longer than its width. [ 27 m ] 11. Write 62
× 10
−4
in decimal notation.
[ 0.0062 ]
30-Second Questions
1. Solve Solve for for x: 3x
− 14 −
1 3
x = x = x + +
1 6
− 5
[ 11/2 ]
√
2. The volume volume of a right right circular cone is 240π 240π cm3 . If If its height is 6 cm, find its radius ius.
[ 2 30 cm ]
3. The mean mean of a set set of 3 num numbers bers is is 100. If 85 is remove removed d from from the set, set, what what is the new new mean? mean? 4. Solve Solve the equation equation 5
3x| = 0. − |11 + 3x
[ 107.5 107.5 ]
[
16//3 ] −2, −16
5. The area of a circular garden garden is increased by by 44%. By what percent percent is the radius of the garden increased? increased? [ 20% ] 6. What number number is halfway halfway between between 4
−
1 2
and 2 + 52 ?
[ 59/20 ]
1-Minute Questions
1. An isosceles isosceles triangle with perimeter 72 cm is cut in half through a line passing through its vertex vertex angle. If eac each h resul resultin ting g triang triangle le has has a perim perimete eterr of 60 60 cm, find the heigh heightt of the the origin original al trian triangle gle.. [ 24 cm cm ] 2. Gina and Aimee regularly regularly run around around an 800-meter track, track, but Gina runs 2 m/s faster. faster. If they start from the same point on this track, and run in the same direction, Gina will eventually pass Aimee in 6 minutes and 40 seconds. What is Aimee’s speed? [ 4 m/s ] 3. Convert Convert 8. 8.1454545 1454545... ... to a fraction.
[ 448/55 ]
4. Fin Find d the the me medi dian an of the the follo ollowi win ng data data valu alues: es: 225, 5, 18 18,, 16, 16, 15, 15, 20, 20, 20, 20, 21, 21, 19, 19, 30, 30, 18
[ 19.5 19.5 ]
5. Two exterior exterior angles angles of a pentagon are are 62 and 46 . Find the largest of the remaining three three exterior angles angles if they are in the ratio 3 : 5 : 6. [ 108 ] ◦
◦
◦
6. In parallelogr parallelogram am ABCD ABCD,, AB = 3x + 6, B 6, B C = 2x + 5, and CD = 5x
22.. Find Find its its peri perime mete ter. r. − 22
[ 16 1622 ]
Clincher
1. The exterio exteriorr angle angle adjacen adjacentt to the vertex vertex angle of a triang triangle le is 130 . What What is the measur measuree of the base angle? [ 65 ] ◦
◦
2. Solve Solve the inequality inequality
2
− x − x − 2 ≤ 0. Express the solution in interval notation.
[ [2, ) ] 15 20 3. In a group of 200 students, students, 45 are swimmers, 36 are runners, runners, and 62 are cyclists. cyclists. There are also also 18 who swim swim and run, 22 who run and cycle, cycle, and 13 who swim swim and cycle, cycle, and 6 who do all three. three. Ho How w many students do at most one of the three given activities? [ 159 ]
∞
Do-or-Die Question
1. The temperature temperature of a drink in a refrigerat refrigerator or decreased decreased from 60 F to 45 F in 1 hour hour.. By how how many many C did the temperature decrease? [ 25/3 or 8. 8.3 ] ◦
◦
This is a property of the 2017 Metrobank-MTAP-DepEd Math Challenge. This material is not for sale, reproduction and/or distribution. Copyright 2017
◦
7.1. An
isosceles triangle with perimeter 72 cm is cut in half through a line passing through its vertex angle. If each resulting triangle has a perimeter of 60 cm, find the height of the original triangle.
7.2. Gina
and Aimee regularly run around an 800-meter track, but Gina runs 2 m/s faster. If they start from the same point on this track, and run in the same direction, Gina will eventually pass Aimee in 6 minutes and 40 seconds. What is Aimee’s speed?
7.3. Convert
7.4. Find
8.1454545... to a fraction.
the median of the following data values: 25, 18, 16, 15, 20, 20, 21, 19, 30,
18
exterior angles of a pentagon are 62 ◦ and 46◦ . Find the largest of the remaining three exterior angles if they are in the ratio 3 : 5 : 6.
7.5. Two
7.6. In
parallelogram ABCD, its perimeter.
AB
= 3x + 6,
BC
= 2x +5, and
CD
= 5x
− 22. Find
7.C.3. In
a group of 200 students, 45 are swimmers, 36 are runners, and 62 are cyclists. There are also 18 who swim and run, 22 who run and cycle, and 13 who swim and cycle, and 6 who do all three. How many students do at most one of the three given activities?
temperature of a drink in a refrigerator decreased from 60◦F to 45◦ F in 1 hour. By how many ◦ C did the temperature decrease?
7.DoD. The
