PART III: ASSESSMENT
Direction: Solve each problem.
1. Nicole is writing a poem. She writes 6 words on the first line, 12 words on the second line, 24 words on the third line, and 48 words on the fourth line. If this pattern continues, how many words will Nicole write on the fifth line?
2. Alyssa is putting pebbles into flower pots. She put 38 pebbles in the first flower
43 pebbles in the second flower pot. 48 pebbles in the third flower pot, and 53 pebbles in the fourth flower pot. If she continue to put pebbles in that pattern, how many pebbles will Allysa put in the tenth flower pot?
3. Simoun saved 12.00 on Saturday, 15.00 on Sunday 18.00 on Monday, 21.00 on
Tuesday, and 24.00 on Wednesday. If he continues to save in the same pattern, how
much will Simoun save next Sunday?
4. A carpenter is making a department store's shoe rack. He can put 27 pairs of shoes on the top layer, 36 pairs of shoes on the second layer, 45 pairs of shoes on the third layer, and 54 pairs of shoes on the fourth layer. If this pattern continues, how many pairs of
shoes will the carpenter put on the eight layer?
5. While observing the audio visual room, Nicole noticed that there were 2 chairs in the
first table, 3 chairs in the second table, 6 chairs in the third table, 11 chairs in the
fourth table, and 18 chairs in the fifth table. If this pattern continues, how many chairs
will be there in the seventh table?
6. Michael was given an allowance 1,000.00. On the first day, he spent 100,00. On the second day, he spent 150.00. On the third day, he spent 200.00. On the fourth day, he spent 250.00, and so on. In how many days will Micheal's allowance last?
7. Cindy is making a tally of the people cisiting her art gallery. She noticed that on the
first day, 20 people visited her art gallery. On the second day, 30 people visited. On
the third day, 40 people visited. Given the same pattern, on what day did 60 people visit her art gallery?
8. Julie is training for the upcoming EcoRun. She makes sure to train by jogging for the
whole week. She ran for 9 minutes on Sunday, 18 minutes on Monday, 27 minutes on Tuesday,36 on Wednesday and 45 minutes on thursday.following the same pattern,how many minutes will jlie ran on sunday?
9.Arnel sorted pens in small boxes.He put 1 pencil in the first box,3 pencils in the second box,9pencil inthe third box,and 27 pencils in the fourth box,If the same pattern was followed,how many pencils did Arnel place in the box?
10.Chastine joined the fitness program sponsored by a gym,On the first day,she spent 20 minutes.On the second day,she spent 25 minutes.On the third day she spent 30 minutes.On the fourth day,she spent 35 minutes.On the day will chastine spend 50 minutes doing her workout?
Direction: Solve each problem.
1. Nicole is writing a poem. She writes 6 words on the first line, 12 words on the second line, 24 words on the third line, and 48 words on the fourth line. If this pattern continues, how many words will Nicole write on the fifth line?
2. Alyssa is putting pebbles into flower pots. She put 38 pebbles in the first flower
43 pebbles in the second flower pot. 48 pebbles in the third flower pot, and 53 pebbles in the fourth flower pot. If she continue to put pebbles in that pattern, how many pebbles will Allysa put in the tenth flower pot?
3. Simoun saved 12.00 on Saturday, 15.00 on Sunday 18.00 on Monday, 21.00 on
Tuesday, and 24.00 on Wednesday. If he continues to save in the same pattern, how
much will Simoun save next Sunday?
4. A carpenter is making a department store's shoe rack. He can put 27 pairs of shoes on the top layer, 36 pairs of shoes on the second layer, 45 pairs of shoes on the third layer, and 54 pairs of shoes on the fourth layer. If this pattern continues, how many pairs of
shoes will the carpenter put on the eight layer?
5. While observing the audio visual room, Nicole noticed that there were 2 chairs in the
first table, 3 chairs in the second table, 6 chairs in the third table, 11 chairs in the
fourth table, and 18 chairs in the fifth table. If this pattern continues, how many chairs
will be there in the seventh table?
6. Michael was given an allowance 1,000.00. On the first day, he spent 100,00. On the second day, he spent 150.00. On the third day, he spent 200.00. On the fourth day, he spent 250.00, and so on. In how many days will Micheal's allowance last?
7. Cindy is making a tally of the people cisiting her art gallery. She noticed that on the
first day, 20 people visited her art gallery. On the second day, 30 people visited. On
the third day, 40 people visited. Given the same pattern, on what day did 60 people visit her art gallery?
8. Julie is training for the upcoming EcoRun. She makes sure to train by jogging for the
whole week. She ran for 9 minutes on Sunday, 18 minutes on Monday, 27 minutes on Tuesday,36 on Wednesday and 45 minutes on thursday.following the same pattern,how many minutes will jlie ran on sunday?
9.Arnel sorted pens in small boxes.He put 1 pencil in the first box,3 pencils in the second box,9pencil inthe third box,and 27 pencils in the fourth box,If the same pattern was followed,how many pencils did Arnel place in the box?
10.Chastine joined the fitness program sponsored by a gym,On the first day,she spent 20 minutes.On the second day,she spent 25 minutes.On the third day she spent 30 minutes.On the fourth day,she spent 35 minutes.On the day will chastine spend 50 minutes doing her workout?
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Answers & Comments
1.)
Answer:
96
Step-by-step explanation:
First line: 6
Second line: 6 ×2 =12
Third line: 12 ×2= 24
fourth line: 24 ×2= 48
fifth line: 48 ×2= 96
2.)
Answer:
The answer is there are 83 pebbles in the tenth flower pot.
Explanation:
Take a look at these numbers closely.
1st Flower Pot - 38 pebbles
2nd Flower Pot - 43 pebbles
3rd Flower Pot - 48 pebbles
4th Flower Pot - 53 pebbles
You can see that in each flower pot, 5 more pebbles are getting added
every time. Using that pattern, we get status like this :
[FP = Flower Pot. P= Pebbles]
5th FP - 58 P
6th FP - 63 P
7th FP - 68 P
8th FP - 73 P
9th FP - 78 P
10th FP - 83 P
And that is why there are 83 pebbles in the tenth flower pot.
3.)
Answer:
36 will Simon save next Sunday
Explanation :
on Saturday-12
on Sunday-15
on Monday-18
on Tuesday-21
on Wednesday-24
on thursday-27
on Friday-30
on next Saturday-33
on next Sunday-36
this is arithmetic sequence, 12,15,18,21,24,27,30,33,36
Where the first term is 12 and the common difference 3.
4.)
Answer:90 pairs of shoes will the carpenter put on the eighth layer.
explanation:
He adds 9 shoes to every layer of the shoe rack.
5.)
Answer:
38 chairs
Explanation:
difference between 2 and 3 = 1 chair
difference between 3 and 6 = 3 chairs
difference between 6 and 11 = 5 chairs
difference between 11 and 18 = 7 chairs
difference between 18 and 27 = 9 chairs
difference between 27 and 38 = 11 chairs
you can see that there is a second difference of 2 when you get the first difference of the number of chairs.
6.)
Answer:
Michael's allowance lasts for five days.
Explanation:
Michael's allowance lasted only one more day, and Michael's allowance lasts for five days.
7.)
Answer:
On the fifth day, 60 people visited.
Explanation:
1st day- 2o people visited
2nd day- 3o people visited
3rd day- 4o people visited
4ht day- 5o people visited
5ft day- 6o people visited
8.)
Answer:
63 minutes
Explanation:
SUN-9MIN
MON-18MIN
TUES-27MIN
WED-35MIN
THUR-45MIN
FRI-54MIN
SAT-63MIN
9.)
Answer:
Arnel place 40 pencils in the boxes
Explanation:
total pencil Arnel place in the boxes= 1+3+9+27
=4+9+27
=13+27
=40 pencils
...
10.)
Answer:
7th day / seventh day
Explanation:
1st day= 20 mins.
2nd day = 25 mins
3rd day = 30 mins
4th day = 35 mins
5th day = 40 mins
6th day = 45 mins
7th day = 50 mins.
The pattern is Chastine's workout time increases every day by 5 minutes.
I hope it helps
#Carry on learning ^_-
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