2016 DIVISION FESTIVAL OF TALENTS
Category B:
MATH QUIZ (Team-Orals) (Judges’ Copy)
GRADE 7
15-second Questions [2 points each]
15.1. Two sets, P and Q, are disjoint. If P has 10 elements and Q has 13 elements, how many elements are there in the intersection of P and Q?
0, zero
15.2. Subtract 338 from -349.
-687
15.3. What is the product of 15 − 8 and 5 − 12?
-49
15.4. If the universal set is defined as the set of integers, set A is composed of all even numbers, and set B is the set of all positive integers less than 10, what are the elements of (𝐴 ∪ 𝐵)? 15.5. Among the 58 students in Grade 7 – Malipayon class, 42 buy food from the school canteen while 29 bring their own food to school. How many of the students who bring their own food still buys from the canteen? 3
1
15.6. What number must be multiplied to 4to get a product of 2? 15.7. A number which is between 80 and 100 has a whole number for its square root. Give the square root of this number. 15.8. A is a proper subset of B. If B has 9 elements, give all the possible cardinality of A if it also has an odd number of elements. 15.9. If A is a set, what is another subset of A aside from itself? 15.10. Find the absolute value of the quantity 2 − 5 − (−3).
2, 4, 6, 8 (in any order) 13 𝟐 𝟑 9 1, 3, 5, 7 Null set, empty set or ∅ 0
30-second Questions, [3 points each]
30.1. The formula for converting a temperature measurement from 5 Fahrenheit to Celsius is 𝐶 = 9 (𝐹 − 32). What Celsius measure is equal to 5°F? 30.2. If 𝐴 = {3, 7, 9, 15, 21, 4, 8}, 𝐵 = {−2, −5, 13, 12, −6, 9}, and another set, C is composed of all even integers, how many elements are in (𝐴 ∪ 𝐵) can also be found in set C?
-15 (°C)
5
30.3. Find the difference between the quotient of 28 and -7 and the product of -4 and -3.
-16
30.4. Between which two consecutive integers would you find the product of √258 and √99?
159 and 160
√√9∙ 3√8∙√36 30.5. Simplify: . √4
3
60-second Questions, [5 points each]
60.1. Arrange the following real numbers from the largest to the smallest: 18 3 − √−8, √7 , − √36, , − 5. 5
𝟏𝟖 𝟑 , √𝟕, − √−𝟖, 𝟓 −𝟓, −√𝟑𝟔
2016 DIVISION FESTIVAL OF TALENTS - MATH QUIZ (TEAM-ORAL) GRADE
7
5
60.2. Mrs. Rivera bought 38 kg of assorted candies to give away this Halloween. Two-fifths of this is to be given to an orphanage, threetenths to the children in her neighborhood, and the rest is to be divided among her three children. How much candy will each of her children have? 60.3. Chris has several 1-peso coins and 5-peso coins amounting to PhP 113. If the number of 1-peso coins is nine more than thrice the number of 5-peso coins, how many coins are there in all? 60.4. Aida has 8𝑥 2 + 2𝑥 − 11 meters of cloth. Lorna borrowed 6𝑥 2 − 3𝑥 + 18 meters of this. Fe gave Aida 4𝑥 2 + 𝑥 + 1 meters more. How much cloth does Aida have now? 60.5. Justin and Selena each tipped their waiter 50 pesos. Brad tipped 4% of his bill while Angelina tipped 10% of her bill. What is the total bill of the two?
𝟐𝟗 𝟖𝟎
kg
61
𝟔𝒙𝟐 + 𝟔𝒙 − 𝟐𝟖
PhP 1750
Clincher Questions
C1. Give the sum of 10 + (−2) + 5 − (−3).
16
2
C2. Mr. Bernardo has 5 3 liters of gasoline in his car. By travelling to the 5
gasoline station in the next town, he consumed 1 6 liters. He then bought 2
8 9 liters of gasoline. How much gasoline does he have in his tank? C3. April and May together have 66 marbles although April has twice as many marbles as May. Incidentally, May found a bag of marbles which enabled her to have thrice as many marbles as April. How many marbles were in the bag May found?
𝟏𝟐
𝟏 𝟏𝟖
110
Do-or-Die Question
DOD1. What is the sum of the 9 smallest prime numbers?
100
2016 DIVISION FESTIVAL OF TALENTS - MATH QUIZ (TEAM-ORAL) GRADE
7
2016 DIVISION FESTIVAL OF TALENTS
Category B:
MATH QUIZ (Team-Orals) (Quizmaster’s Copy)
GRADE 7
15-second Questions [2 points each] 15.1. Two sets, P and Q, are disjoint. If P has 10 elements and Q has 13 elements, how many elements are there in the intersection of P and Q? 15.2. Subtract 338 from -349. 15.3. What is the product of 15 − 8 and 5 − 12? 15.4. If the universal set is defined as the set of integers, set A is composed of all even numbers, and set B is the set of all positive integers less than 10, what are the elements of (𝐴 ∪ 𝐵)? 15.5. Among the 58 students in Grade 7 – Malipayon class, 42 buy food from the school canteen while 29 bring their own food to school. How many of the students who bring their own food still buys from the canteen? 3
1
15.6. What number must be multiplied to 4to get a product of 2? 15.7. A number which is between 80 and 100 has a whole number for its square root. Give the square root of this number. 15.8. A is a proper subset of B. If B has 9 elements, give all the possible cardinality of A if it also has an odd number of elements. 15.9. If A is a set, what is another subset of A aside from itself? 15.10. Find the absolute value of the quantity 2 − 5 − (−3).
30-second Questions, [3 points each] 30.1. The formula for converting a temperature measurement from Fahrenheit to 5 Celsius is 𝐶 = 9 (𝐹 − 32). What Celsius measure is equal to 5°F? 30.2. If 𝐴 = {3, 7, 9, 15, 21, 4, 8}, 𝐵 = {−2, −5, 13, 12, −6, 9}, and another set, C is composed of all even integers, how many elements are in (𝐴 ∪ 𝐵) can also be found in set C? 30.3. Find the difference between the quotient of 28 and -7 and the product of -4 and -3.
2016 DIVISION FESTIVAL OF TALENTS - MATH QUIZ (TEAM-ORAL) GRADE
7
30.4. Between which two consecutive integers would you find the product of √258 and √99? 30.5. Simplify:
√√9∙ 3√8∙√36 √4
.
60-second Questions, [5 points each] 60.1. Arrange the following real numbers from the largest to the smallest: 18 3 − √−8, √7 , − √36, , − 5. 5 5
60.2. Mrs. Rivera bought 3 kg of assorted candies to give away this Halloween. 8 Two-fifths of this is to be given to an orphanage, three-tenths to the children in her neighborhood, and the rest is to be divided among her three children. How much candy will each of her children have? 60.3. Chris has several 1-peso coins and 5-peso coins amounting to PhP 113. If the number of 1-peso coins is nine more than thrice the number of 5-peso coins, how many coins are there in all? 60.4. Aida has 8𝑥 2 + 2𝑥 − 11 meters of cloth. Lorna borrowed 6𝑥 2 − 3𝑥 + 18 meters of this. Fe gave Aida 4𝑥 2 + 𝑥 + 1 meters more. How much cloth does Aida have now? 60.5. Justin and Selena each tipped their waiter 50 pesos. Brad tipped 4% of his bill while Angelina tipped 10% of her bill. What is the total bill of the two?
Clincher Questions C1. Give the sum of 10 + (−2) + 5 − (−3). 2
C2. Mr. Bernardo has 5 liters of gasoline in his car. By travelling to the gasoline 3
5
2
station in the next town, he consumed 1 6 liters. He then bought 8 9 liters of gasoline. How much gasoline does he have in his tank? C3. April and May together have 66 marbles although April has twice as many marbles as May. Incidentally, May found a bag of marbles which enabled her to have thrice as many marbles as April. How many marbles were in the bag May found? Do-or-Die Question DOD1. What is the sum of the 9 smallest prime numbers?
2016 DIVISION FESTIVAL OF TALENTS - MATH QUIZ (TEAM-ORAL) GRADE
7
