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MTAP (Grade
6)
Saturday
Class
SESSION 6
A. Determine the reading for each electric meter examples
below.
1.
𝟎 𝟐 1 6 6
2.
3.
𝟔 𝟒 9 0 2
𝟔 𝟕 5 1 3
4.
5.
𝟑 𝟖 1 0 2
𝟔 𝟐 5 7 9
B. Complete the table and answer the following questions.
Month
Readings m3
Consumed
Present Previous
1. September 2077 2139
2. October 2047 2168
3. November 2165 2200
4. December 2203 2247
𝟔𝟐 𝒎𝟑
𝟏𝟐𝟏 𝒎𝟑
𝟑𝟓 𝒎𝟑
𝟒𝟒 𝒎𝟑
1. In what month was the least volume of water
consumed?
2. In what month was the largest volume of water
consumed?
𝑵𝒐𝒗𝒆𝒎𝒃𝒆𝒓
𝑶𝒄𝒕𝒐𝒃𝒆𝒓
3. How much more was the consumption in December than
in November? In what month was the largest volume of
water consumed? 𝟗 𝒎𝟑
4. What was the total volume of water from September to
December?
5.What is the average monthly consumption?
𝟐𝟔𝟐 𝒎𝟑
𝟔𝟓. 𝟓 𝒎𝟑
C. Use the given information from each number to answer
the questions below.
1.Refer to the given graph at the right.
a. Which subject got the most votes?
b. How many votes did Science get?
𝟏𝟏 𝒗𝒐𝒕𝒆𝒔
𝑨𝒓𝒕
c. How many votes did Art get?
d. How many more votes did
Language get than Math?
e. How many students voted?
𝟏 𝒗𝒐𝒕𝒆
𝟓𝟑 𝒗𝒐𝒕𝒆𝒔
𝟏𝟔 𝒗𝒐𝒕𝒆𝒔
2. Use the line graph to answer the following.
a. Which year had the highest number of employees?
𝟐𝟎𝟏𝟕 & 𝟐𝟎𝟏𝟖
2. Use the line graph to answer the following.
b. Which year had the lowest number of employees?
𝟐𝟎𝟏𝟗
2. Use the line graph to answer the following.
c. How many employees worked in year 2014?
d. How many employees worked in year 2017?
𝟏𝟒𝟎
𝟏𝟖𝟎
2. Use the line graph to answer the following.
e. When was the years there were an equal number of
employees? 𝟐𝟎𝟏𝟒 &𝟐𝟎𝟐𝟎, 𝟐𝟎𝟏𝟕 &𝟐𝟎𝟏𝟖
State Average
Temperature
in April (oF)
North
Carolina
58.2
Washington 47.6
Hawaii 70.1
Colorado 43.3
Oklahoma 60.1
Alabama 62.2
Montana 42.3
3. Use the table below to answer each question.
a. Which state has the
highest average temperature?
b. What state is the coldest
during the month of April?
𝑯𝒂𝒘𝒂𝒊𝒊
𝑴𝒐𝒏𝒕𝒂𝒏𝒂
State Average
Temperature
in April (oF)
North
Carolina
58.2
Washington 47.6
Hawaii 70.1
Colorado 43.3
Oklahoma 60.1
Alabama 62.2
Montana 42.3
3. Use the table below to answer each question.
c. What three (3) states have
the lowest average
temperature?
d. What state has an average
temperature of 62.20C?
𝑾𝒂𝒔𝒉𝒊𝒏𝒈𝒕𝒐𝒏, 𝑪𝒐𝒍𝒐𝒓𝒂𝒅𝒐,
𝑴𝒐𝒏𝒕𝒂𝒏𝒂
𝑨𝒍𝒂𝒃𝒂𝒎𝒂
State Average
Temperature
in April (oF)
North
Carolina
58.2
Washington 47.6
Hawaii 70.1
Colorado 43.3
Oklahoma 60.1
Alabama 62.2
Montana 42.3
3. Use the table below to answer each question.
e. Which state has the lowest
average temperature?
𝑴𝒐𝒏𝒕𝒂𝒏𝒂
4. In Mr. Ramos’ house,
the amount of electricity used
is shown in the circle graph
at the right. In a certain month,
his family used 1, 200kwh.
Use the graph to find the amount
of electricity used:
a. by air conditioner
𝟒𝟖𝟎 𝒌𝒘𝒉
4. In Mr. Ramos’ house,
the amount of electricity used
is shown in the circle graph
at the right. In a certain month,
his family used 1, 200kwh.
Use the graph to find the amount
of electricity used:
b. by the refrigerator
180 kwh
4. In Mr. Ramos’ house,
the amount of electricity used
is shown in the circle graph
at the right. In a certain month,
his family used 1, 200kwh.
Use the graph to find the amount
of electricity used:
c. by the water heater
𝟒𝟖 𝒌𝒘𝒉
4. In Mr. Ramos’ house,
the amount of electricity used
is shown in the circle graph
at the right. In a certain month,
his family used 1, 200kwh.
Use the graph to find the amount
of electricity used:
d. by the washing machine
𝟏𝟐𝟎 𝒌𝒘𝒉
4. In Mr. Ramos’ house,
the amount of electricity used
is shown in the circle graph
at the right. In a certain month,
his family used 1, 200kwh.
Use the graph to find the amount
of electricity used:
e. by the stove
𝟏𝟐𝟎 𝒌𝒘𝒉
5.Use the circle graph shown on the right to answer each
question.
a. Which department had the
least sales?
b. Which department had the
most sales?
𝒐𝒕𝒉𝒆𝒓𝒔
Sales by S&J Department Store
𝒔𝒖𝒑𝒆𝒓𝒎𝒂𝒓𝒌𝒆𝒕
5. Use the circle graph shown on the right to answer each
question.
c. What percent of sales was
in the Appliances department?
d. Did furniture sell more or
less than clothing?
𝟏𝟒%
Sales by S&J Department Store
𝒍𝒆𝒔𝒔
5. Use the circle graph shown on the right to answer each
question.
e. Supposed the total sales for
the S&J Department Store was
₱30,000,000.00. What was the
amount of sales in the super
market department?
₱ 𝟏𝟐, 𝟎𝟎𝟎, 𝟎𝟎𝟎. 𝟎𝟎
Sales by S&J Department Store
1. Find the sample space on tossing two coins.
2. What are the total number of outcomes on rolling two
dice?
E. Answer the following
Sample space:
6
outcomes
3. John's probability of winning the game is 60%. Express
this as a probability fraction.
60% wins:
𝟔𝟎
𝟏𝟎𝟎
= 𝟑
𝟓
4. What is the probability of picking a number 10 from a
pack of cards?
There are four 10’s in a pack
of cards out of 52 cards:
𝟒
𝟓𝟐
=
P(10card)
𝟏
𝟏𝟑
5. Adrian wins 7 matches out of 10 matches. What is the
probability of his winning the tournament?
7 wins out of 10:
𝟕
𝟏𝟎
P(win) =
6. A fair die is rolled, what is the probability of getting:
a. An even number?
b. A three?
c. A number less than 5?
d. An odd number?
e. A number greater than 4?
𝟑
𝟔
=
𝟏
𝟐
𝟏
𝟐
=
𝟒
𝟔
=
𝟐
𝟑
𝟑
𝟔
=
𝟏
𝟐
𝟑
𝟔
= 𝟏
𝟐
7. A bag contains 6 red, 5 green, 8 blue and 3 yellow
marbles. If a single marble is picked at random, what is the
probability of picking a:
a. Red
b. Blue
c. Red or blue
6 red, 5 green, 8 blue, 3 yellow
Total Marbles: 22
c. Green
d. Yellow
𝟔
𝟐𝟐
=
𝟑
𝟏𝟏
𝟖
𝟐𝟐
=
𝟒
𝟏𝟏
𝟔
𝟐𝟐
+
𝟖
𝟐𝟐
= 𝟕
𝟏𝟏
𝟏𝟒
𝟐𝟐
=
= 𝟓
𝟐𝟐
= 𝟑
𝟐𝟐
CHALLEN
GE !
1. The pie chart below shows the distribution of Ethan’s
allowance of P2,000.
a. Which category did he allocate
his allowance the most?
b. How much is allocated for
school supplies?
Food: 32% of 2,000 P 640.00
18% of 2,000 P 360.00
1. The pie chart below shows the distribution of Ethan’s
allowance of P2,000.
c. How much is allocated for
his transportation?
d. If Ethan did not go out with
his friends for that week,
how much would his
additional savings be?
25% of 2,000 P 500.00
15% of 2,000 P 300.00
1. The pie chart below shows the distribution of Ethan’s
allowance of P2,000.
e. If his father gave him an
additional P200 for his food
allowance, how much can be
spent on food in a day?
For food:P 640.00
640 + 200 = 840
840 ÷ 7 = P 120.00
2. If two dice are rolled, what is the probability of getting
a. A sum of 9?
Sample space: 36
𝟏
𝟗
P(sum9) =
𝟒
𝟑𝟔
2. If two dice are rolled, what is the probability of getting
b. Two odd numbers?
Sample space: 36
𝟏
𝟒
P(two odds)
=
𝟗
𝟑𝟔
=
2. If two dice are rolled, what is the probability of getting
c. A double?
Sample space: 36
𝟏
𝟔
P(double) =
𝟔
𝟑𝟔
=
2. If two dice are rolled, what is the probability of getting
d. A sum less than 5?
Sample space: 36
𝟏
𝟔
P(sum less than 5)
=
𝟔
𝟑𝟔
=
2. If two dice are rolled, what is the probability of getting
e. Odd and even?
3. A spinner has 8 equal parts numbered 1 to 8 in order.
After spinning the spinner, what is the probability of its
landing on
a. an odd number?
Sample space: 8
𝟏
𝟐
P(odd number) =
𝟒
𝟖
=
3. A spinner has 8 equal parts numbered 1 to 8 in order.
After spinning the spinner, what is the probability of its
landing on
b. a multiple of 2?
Sample space: 8
𝟏
𝟐
P(multiples of 2) =
𝟒
𝟖
=
3. A spinner has 8 equal parts numbered 1 to 8 in order.
After spinning the spinner, what is the probability of its
landing on
c. a multiple of 4?
Sample space: 8
𝟏
𝟒
P(multiples of 4) =
𝟐
𝟖
=
4. In a class, there are 26 boys and 24 girls. When a
teacher calls out the name of a student, what is the
probability that it is the name of a boy?
Boys - 26: Girls – 24:
Total students: 50
𝟏𝟑
𝟐𝟓
P(name of a boy) =
𝟐𝟔
𝟓𝟎
=
5. A carpenter is trying to hit a nail with a hammer. For
every twelve shots he correctly hits the nail for eight times
and misses it for four times. What is the probability that
the carpenter rightly hits the nail?
Correct hits - 8: Misses hits – 4:
Total hits: 12
𝟐
𝟑
P(rightly hits) =
𝟖
𝟏𝟐
=
GRADE 6 SESSION 6.pptx

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GRADE 6 SESSION 6.pptx

  • 2. A. Determine the reading for each electric meter examples below. 1. 𝟎 𝟐 1 6 6
  • 3. 2. 3. 𝟔 𝟒 9 0 2 𝟔 𝟕 5 1 3
  • 4. 4. 5. 𝟑 𝟖 1 0 2 𝟔 𝟐 5 7 9
  • 5. B. Complete the table and answer the following questions. Month Readings m3 Consumed Present Previous 1. September 2077 2139 2. October 2047 2168 3. November 2165 2200 4. December 2203 2247 𝟔𝟐 𝒎𝟑 𝟏𝟐𝟏 𝒎𝟑 𝟑𝟓 𝒎𝟑 𝟒𝟒 𝒎𝟑
  • 6. 1. In what month was the least volume of water consumed? 2. In what month was the largest volume of water consumed? 𝑵𝒐𝒗𝒆𝒎𝒃𝒆𝒓 𝑶𝒄𝒕𝒐𝒃𝒆𝒓
  • 7. 3. How much more was the consumption in December than in November? In what month was the largest volume of water consumed? 𝟗 𝒎𝟑
  • 8. 4. What was the total volume of water from September to December? 5.What is the average monthly consumption? 𝟐𝟔𝟐 𝒎𝟑 𝟔𝟓. 𝟓 𝒎𝟑
  • 9. C. Use the given information from each number to answer the questions below. 1.Refer to the given graph at the right. a. Which subject got the most votes? b. How many votes did Science get? 𝟏𝟏 𝒗𝒐𝒕𝒆𝒔 𝑨𝒓𝒕
  • 10. c. How many votes did Art get? d. How many more votes did Language get than Math? e. How many students voted? 𝟏 𝒗𝒐𝒕𝒆 𝟓𝟑 𝒗𝒐𝒕𝒆𝒔 𝟏𝟔 𝒗𝒐𝒕𝒆𝒔
  • 11. 2. Use the line graph to answer the following. a. Which year had the highest number of employees? 𝟐𝟎𝟏𝟕 & 𝟐𝟎𝟏𝟖
  • 12. 2. Use the line graph to answer the following. b. Which year had the lowest number of employees? 𝟐𝟎𝟏𝟗
  • 13. 2. Use the line graph to answer the following. c. How many employees worked in year 2014? d. How many employees worked in year 2017? 𝟏𝟒𝟎 𝟏𝟖𝟎
  • 14. 2. Use the line graph to answer the following. e. When was the years there were an equal number of employees? 𝟐𝟎𝟏𝟒 &𝟐𝟎𝟐𝟎, 𝟐𝟎𝟏𝟕 &𝟐𝟎𝟏𝟖
  • 15. State Average Temperature in April (oF) North Carolina 58.2 Washington 47.6 Hawaii 70.1 Colorado 43.3 Oklahoma 60.1 Alabama 62.2 Montana 42.3 3. Use the table below to answer each question. a. Which state has the highest average temperature? b. What state is the coldest during the month of April? 𝑯𝒂𝒘𝒂𝒊𝒊 𝑴𝒐𝒏𝒕𝒂𝒏𝒂
  • 16. State Average Temperature in April (oF) North Carolina 58.2 Washington 47.6 Hawaii 70.1 Colorado 43.3 Oklahoma 60.1 Alabama 62.2 Montana 42.3 3. Use the table below to answer each question. c. What three (3) states have the lowest average temperature? d. What state has an average temperature of 62.20C? 𝑾𝒂𝒔𝒉𝒊𝒏𝒈𝒕𝒐𝒏, 𝑪𝒐𝒍𝒐𝒓𝒂𝒅𝒐, 𝑴𝒐𝒏𝒕𝒂𝒏𝒂 𝑨𝒍𝒂𝒃𝒂𝒎𝒂
  • 17. State Average Temperature in April (oF) North Carolina 58.2 Washington 47.6 Hawaii 70.1 Colorado 43.3 Oklahoma 60.1 Alabama 62.2 Montana 42.3 3. Use the table below to answer each question. e. Which state has the lowest average temperature? 𝑴𝒐𝒏𝒕𝒂𝒏𝒂
  • 18. 4. In Mr. Ramos’ house, the amount of electricity used is shown in the circle graph at the right. In a certain month, his family used 1, 200kwh. Use the graph to find the amount of electricity used: a. by air conditioner 𝟒𝟖𝟎 𝒌𝒘𝒉
  • 19. 4. In Mr. Ramos’ house, the amount of electricity used is shown in the circle graph at the right. In a certain month, his family used 1, 200kwh. Use the graph to find the amount of electricity used: b. by the refrigerator 180 kwh
  • 20. 4. In Mr. Ramos’ house, the amount of electricity used is shown in the circle graph at the right. In a certain month, his family used 1, 200kwh. Use the graph to find the amount of electricity used: c. by the water heater 𝟒𝟖 𝒌𝒘𝒉
  • 21. 4. In Mr. Ramos’ house, the amount of electricity used is shown in the circle graph at the right. In a certain month, his family used 1, 200kwh. Use the graph to find the amount of electricity used: d. by the washing machine 𝟏𝟐𝟎 𝒌𝒘𝒉
  • 22. 4. In Mr. Ramos’ house, the amount of electricity used is shown in the circle graph at the right. In a certain month, his family used 1, 200kwh. Use the graph to find the amount of electricity used: e. by the stove 𝟏𝟐𝟎 𝒌𝒘𝒉
  • 23. 5.Use the circle graph shown on the right to answer each question. a. Which department had the least sales? b. Which department had the most sales? 𝒐𝒕𝒉𝒆𝒓𝒔 Sales by S&J Department Store 𝒔𝒖𝒑𝒆𝒓𝒎𝒂𝒓𝒌𝒆𝒕
  • 24. 5. Use the circle graph shown on the right to answer each question. c. What percent of sales was in the Appliances department? d. Did furniture sell more or less than clothing? 𝟏𝟒% Sales by S&J Department Store 𝒍𝒆𝒔𝒔
  • 25. 5. Use the circle graph shown on the right to answer each question. e. Supposed the total sales for the S&J Department Store was ₱30,000,000.00. What was the amount of sales in the super market department? ₱ 𝟏𝟐, 𝟎𝟎𝟎, 𝟎𝟎𝟎. 𝟎𝟎 Sales by S&J Department Store
  • 26. 1. Find the sample space on tossing two coins. 2. What are the total number of outcomes on rolling two dice? E. Answer the following Sample space: 6 outcomes
  • 27. 3. John's probability of winning the game is 60%. Express this as a probability fraction. 60% wins: 𝟔𝟎 𝟏𝟎𝟎 = 𝟑 𝟓
  • 28. 4. What is the probability of picking a number 10 from a pack of cards? There are four 10’s in a pack of cards out of 52 cards: 𝟒 𝟓𝟐 = P(10card) 𝟏 𝟏𝟑
  • 29. 5. Adrian wins 7 matches out of 10 matches. What is the probability of his winning the tournament? 7 wins out of 10: 𝟕 𝟏𝟎 P(win) =
  • 30. 6. A fair die is rolled, what is the probability of getting: a. An even number? b. A three? c. A number less than 5? d. An odd number? e. A number greater than 4? 𝟑 𝟔 = 𝟏 𝟐 𝟏 𝟐 = 𝟒 𝟔 = 𝟐 𝟑 𝟑 𝟔 = 𝟏 𝟐 𝟑 𝟔 = 𝟏 𝟐
  • 31. 7. A bag contains 6 red, 5 green, 8 blue and 3 yellow marbles. If a single marble is picked at random, what is the probability of picking a: a. Red b. Blue c. Red or blue 6 red, 5 green, 8 blue, 3 yellow Total Marbles: 22 c. Green d. Yellow 𝟔 𝟐𝟐 = 𝟑 𝟏𝟏 𝟖 𝟐𝟐 = 𝟒 𝟏𝟏 𝟔 𝟐𝟐 + 𝟖 𝟐𝟐 = 𝟕 𝟏𝟏 𝟏𝟒 𝟐𝟐 = = 𝟓 𝟐𝟐 = 𝟑 𝟐𝟐
  • 33. 1. The pie chart below shows the distribution of Ethan’s allowance of P2,000. a. Which category did he allocate his allowance the most? b. How much is allocated for school supplies? Food: 32% of 2,000 P 640.00 18% of 2,000 P 360.00
  • 34. 1. The pie chart below shows the distribution of Ethan’s allowance of P2,000. c. How much is allocated for his transportation? d. If Ethan did not go out with his friends for that week, how much would his additional savings be? 25% of 2,000 P 500.00 15% of 2,000 P 300.00
  • 35. 1. The pie chart below shows the distribution of Ethan’s allowance of P2,000. e. If his father gave him an additional P200 for his food allowance, how much can be spent on food in a day? For food:P 640.00 640 + 200 = 840 840 ÷ 7 = P 120.00
  • 36. 2. If two dice are rolled, what is the probability of getting a. A sum of 9? Sample space: 36 𝟏 𝟗 P(sum9) = 𝟒 𝟑𝟔
  • 37. 2. If two dice are rolled, what is the probability of getting b. Two odd numbers? Sample space: 36 𝟏 𝟒 P(two odds) = 𝟗 𝟑𝟔 =
  • 38. 2. If two dice are rolled, what is the probability of getting c. A double? Sample space: 36 𝟏 𝟔 P(double) = 𝟔 𝟑𝟔 =
  • 39. 2. If two dice are rolled, what is the probability of getting d. A sum less than 5? Sample space: 36 𝟏 𝟔 P(sum less than 5) = 𝟔 𝟑𝟔 =
  • 40. 2. If two dice are rolled, what is the probability of getting e. Odd and even?
  • 41. 3. A spinner has 8 equal parts numbered 1 to 8 in order. After spinning the spinner, what is the probability of its landing on a. an odd number? Sample space: 8 𝟏 𝟐 P(odd number) = 𝟒 𝟖 =
  • 42. 3. A spinner has 8 equal parts numbered 1 to 8 in order. After spinning the spinner, what is the probability of its landing on b. a multiple of 2? Sample space: 8 𝟏 𝟐 P(multiples of 2) = 𝟒 𝟖 =
  • 43. 3. A spinner has 8 equal parts numbered 1 to 8 in order. After spinning the spinner, what is the probability of its landing on c. a multiple of 4? Sample space: 8 𝟏 𝟒 P(multiples of 4) = 𝟐 𝟖 =
  • 44. 4. In a class, there are 26 boys and 24 girls. When a teacher calls out the name of a student, what is the probability that it is the name of a boy? Boys - 26: Girls – 24: Total students: 50 𝟏𝟑 𝟐𝟓 P(name of a boy) = 𝟐𝟔 𝟓𝟎 =
  • 45. 5. A carpenter is trying to hit a nail with a hammer. For every twelve shots he correctly hits the nail for eight times and misses it for four times. What is the probability that the carpenter rightly hits the nail? Correct hits - 8: Misses hits – 4: Total hits: 12 𝟐 𝟑 P(rightly hits) = 𝟖 𝟏𝟐 =