Metrobank-MTAP-DepEd Math Challenge 2017 Division Orals Grade 8
•
15-Second Questions [2 points each]
1. If f If f ((x) = 2x2 − 5x, compute f ( f (−2)?
[ 18 ] [ 9x2 − 12 12x x + 4 ]
2. If the perimete perimeterr of a square square is 12x 12x − 8, give its area in expanded form.
3. The midpoin midpointt of (5, (5, 0) and point B is (−2, 6). What are the coordinates of B B ?
[ (−9, 12) ]
4. What What is the the y-intercept y -intercept of the line passing through (3, (3, −2) and with slope 4?
[ −14 ]
5. Write in scientific scientific notation the quotient quotient of 9 × 10−3 divided by 12 × 10−4 .
6. A die die is rolle rolled. d. Find Find the the prob probab abil ilit ity y that that the the number umber that that come comess up is not not a multip ultiple le of 3.
[ 7.5 × 10−8 ]
[ 2/3 ]
7. If the mean of three numbers is 20 and the mean of five numbers is 12, what is the mean of the eight numbers combined? [ 15 ] 8. What What is 39999 39999 ÷ 199?
[ 201 ]
9. If the difference between between the square of a positive positive integer and the integer integer before it is 33, what is the integer? integer? [ 17 ]
10. If 4
+2
x
= 81 , what is x is x??
[ −7/2 ]
x2 + 1 [ ] x + 1
2 11. Write the sum sum of and x and x − 1 as a fraction in lowest terms. x + 1 30-Second Questions [3 points each]
1. If the sum of the squares squares of two two positiv positivee integers integers is 32 and their their product product is 9, what what is the sum of the√ two integers? [5 2] 2. Two Two years years ago, Paolo Paolo was three three times times as old as Ron. Ten years years from now, now, Paolo Paolo will be twice twice as old as Ron. How much older is Paolo than Ron? [ 24 yrs ] 3. If f If f ((x) is a linear function such that f ( f (−4) = 1 and f and f (5) (5) = 7, what is the value of f ( f (1250)?
[ 837 ]
4. Th The sum of two number bers is 25 and their difference is 19. What is their produ oduct?
[ 66 ]
5. If the largest largest number, number, 50, is remov removed ed from a set of 10 numbe numbers, rs, the mean is reduced reduced by 4. What What is the mean of the original set of 10 numbers? [ 14 ] 6. The officers of a math club will pay equal contribu contributions tions to buy a cake cake worth PhP480 for their moderator. moderator. If there were two more officers, their contribution contribution will be reduced reduced by PhP12 each. How many officers officers are there? [8] 1-Minute Questions [5 points each]
√
24 3 + 27 √ 1. Simplify: Simplify: 2 3+3 2. Solve Solve for for x x:: 63 −4 22 +3 = 648(48) x
x
√
[ 21 − 6 3 ] [4]
x
3. If A( A (−2, −1) and B and B (4, (4, 3) are the endpoints of the base of an isosceles triangle, give the equation, in slopeintercept form, of the line containing the third vertex of the triangle. [ y = − 32 x + 25 ] 4. What What is the value value of x, x , if the numbers x, numbers x, 2x, 3, 6, 4, 3, 2, 9 have a mean of 7 and median 5. 1 1 1 1 5. Find Find the sum sum + + + · · · + . 2·4 3·5 4·6 13 · 15 6. If 4 + 2(2 ) = 80, what is the value of x? x ? x
[9] [ 73/210 ] [3]
x
Clincher Questions
C.1. If (−1) = −1, what is the greatest common factor of n n and 4?
[1]
n
√
C.2. C.2. a cube has side length length 2 5 − 3 cm. what is its volume?
√
[ 58 5 − 87 cm3 ]
C.3. C.3. It takes takes Tom twice twice as long as Sam to drive drive from A to B . Sam is at A and Tom is at B . If they they start start drivin drivingg towa towards rds each each other other at the same time, they will will meet meet one hour later. later. If instead instead they starte started d driving in the same direction (with Sam driving towards B ), how long before they meet? [ 3 hrs ] Do-or-Die Question
DoD. If a three-digit three-digit number number is randomly randomly selected, selected, what is the probabilit probability y that it is neither a multiple multiple of 3 nor of 5? [ 193/333 ] This is a property of the 2017 Metrobank-MTAP-DepEd Math Challenge. This material is not for sale, reproduction and/or distribution. Copyright 2017
√
24 3 + 27 √ 8.1. Simplify: 2 3+3
for x: 63x−422x+3 = 648(48)x
8.2. Solve
8.3.
If A(−2, −1) and B (4, 3) are the endpoints of the base of an isosceles triangle, give the equation, in slope-intercept form, of the line containing the third vertex of the triangle.
8.4. What
is the value of x, if the numbers x, 2x, 3, 6, 4, 3, 2, 9 have a mean of 7 and median 5.
8.5. Find
8.6.
the sum
1 2·4
+
1 3·5
+
1 4·6
+···+
1 13 · 15
.
If 4x + 2 (2x ) = 80, what is the value of x?
8.C.3. It
takes Tom twice as long as Sam to drive from A to B . Sam is at A and Tom is at B . If they start driving towards each other at the same time, they will meet one hour later. If instead they started driving in the same direction (with Sam driving towards B ), how long before they meet?
8.DoD. If
a three-digit number is randomly selected, what is the probability that it is neither a multiple of 3 nor of 5?
This is a property of the 2017 Metrobank-MTAP-DepEd Math Challenge. This material is not for sale, reproduction and/or distribution. Copyright 2017
