📝 PM Review: Exponents

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🎨 Current dimension: 📖 Cultural Storyteller (Research: PMC Ghana 2024)

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Question 1 Difficulty 1
Ravi is counting his marbles at home. He notices that his collection doubles every week. If he starts with 1 marble, how many will he have after 3 weeks?
  • A 1
  • B 2
  • C 4
  • D 8
💡 Explanation Ravi has 1 marble, which doubles each week: Week 1 = 2, Week 2 = 4, Week 3 = 8.
Question 2 Difficulty 1
Anaya is planting flowers in her garden. She plants 2 flowers on the first day, and each subsequent day she plants double the amount of flowers from the previous day. How many flowers will she plant on the third day?
  • A 2
  • B 4
  • C 8
  • D 16
💡 Explanation Day 1 = 2 flowers, Day 2 = 4 (2x2), Day 3 = 8 (4x2).
Question 3 Difficulty 1
During a school science project, Aman discovers that bacteria reproduce every hour. If he starts with 1 bacterium, how many will he have after 2 hours?
  • A 1
  • B 2
  • C 4
  • D 8
💡 Explanation Hour 1 = 2 bacteria, Hour 2 = 4 bacteria (2x2).
Question 4 Difficulty 1
In a local temple, Priya sees that the number of prayer lamps increases by a factor of 3 every week. If there is 1 lamp, how many lamps will there be after 2 weeks?
  • A 1
  • B 3
  • C 9
  • D 27
💡 Explanation Week 1 = 3 lamps (1x3), Week 2 = 9 lamps (3x3).
Question 5 Difficulty 1
At the cricket ground, Raju's team scores runs in powers of 2. If they score 2 runs in the first over, how many will they score in the third over?
  • A 2
  • B 4
  • C 8
  • D 16
💡 Explanation First over = 2 runs, second over = 4 runs (2x2), third over = 8 runs (4x2).
Question 6 Difficulty 1
Sita is buying sweets for Diwali. She buys 1 sweet on the first day, doubling her purchase each subsequent day. How many sweets does she buy on the second day?
  • A 1
  • B 2
  • C 4
  • D 8
💡 Explanation Day 1 = 1 sweet, Day 2 = 2 sweets (1x2).
Question 7 Difficulty 1
Vikram has a collection of comic books. He starts with 1 book, and every month he buys 2 more books than he did the previous month. How many books will he have after 3 months?
  • A 3
  • B 4
  • C 5
  • D 6
💡 Explanation Month 1 = 1 book, Month 2 = 3 books (1+2), Month 3 = 5 books (3+2).
Question 8 Difficulty 1
At the local market, Anil sees that the price of mangoes increases by a factor of 2 every week. If the price starts at 5 rupees, what will it be after 2 weeks?
  • A 5
  • B 10
  • C 20
  • D 40
💡 Explanation Week 1 = 10 rupees (5x2), Week 2 = 20 rupees (10x2).
Question 9 Difficulty 1
During a family picnic, Arjun collects 1 pebble on the first day. If he keeps doubling his collection each day, how many pebbles will he have on the fourth day?
  • A 4
  • B 8
  • C 16
  • D 32
💡 Explanation Day 1 = 1, Day 2 = 2, Day 3 = 4, Day 4 = 8.
Question 10 Difficulty 1
In a local library, Nisha discovers that the number of books increases by a factor of 3 each year. If there is 1 book in the first year, how many will there be after 2 years?
  • A 1
  • B 3
  • C 9
  • D 27
💡 Explanation Year 1 = 3 books (1x3), Year 2 = 9 books (3x3).
Question 11 Difficulty 2
While helping her mother in the kitchen, Neha notices that the amount of sugar needed for a cake recipe increases exponentially. If the recipe requires 2 cups of sugar, how much will it require for a cake that is 3 times larger?
  • A 2 cups
  • B 4 cups
  • C 6 cups
  • D 8 cups
💡 Explanation For a cake that is 3 times larger, sugar needed is 2 cups x 3 = 6 cups.
Question 12 Difficulty 2
In a cricket match, Ravi's team scores runs in powers of 3. If they score 3 runs in the first over, how many will they score in the second over?
  • A 3
  • B 6
  • C 9
  • D 12
💡 Explanation Runs scored in second over = 3^2 = 9 runs.
Question 13 Difficulty 2
At the school science fair, Aditi exhibits a project where the number of balloons doubles every hour. If she starts with 4 balloons, how many will she have after 2 hours?
  • A 4
  • B 8
  • C 16
  • D 32
💡 Explanation Hour 1 = 8 balloons (4x2), Hour 2 = 16 balloons (8x2).
Question 14 Difficulty 2
During the Makar Sankranti festival, Priya's family prepares sweets. If they make 5 laddus, and each day they decide to make 2 times as many as the previous day, how many will they make on the fourth day?
  • A 20
  • B 40
  • C 80
  • D 160
💡 Explanation Day 1 = 5, Day 2 = 10, Day 3 = 20, Day 4 = 40.
Question 15 Difficulty 2
In a school project, Aman is planting trees. He plants 2 trees in the first week, and every week he plants 3 times as many trees as he did the previous week. How many trees will he plant in the third week?
  • A 6
  • B 18
  • C 54
  • D 162
💡 Explanation Week 1 = 2 trees, Week 2 = 6 trees (2x3), Week 3 = 18 trees (6x3).
Question 16 Difficulty 2
In a local market, Sita sees that the price of mangoes triples every month. If the price starts at 10 rupees, what will it be after 2 months?
  • A 10
  • B 30
  • C 90
  • D 270
💡 Explanation Month 1 = 30 rupees (10x3), Month 2 = 90 rupees (30x3).
Question 17 Difficulty 2
During a family trip, Rahul collects stickers. He starts with 5 stickers, and each week he collects twice as many as the previous week. How many stickers will he have after 3 weeks?
  • A 10
  • B 20
  • C 40
  • D 80
💡 Explanation Week 1 = 5, Week 2 = 10 (5x2), Week 3 = 20 (10x2).
Question 18 Difficulty 2
In a math competition, Riya's team scores points in powers of 4. If they score 4 points in the first round, how many points will they score in the third round?
  • A 4
  • B 16
  • C 64
  • D 256
💡 Explanation Round 1 = 4 points, Round 2 = 16 points (4x4), Round 3 = 64 points (16x4).
Question 19 Difficulty 2
In a community garden, Aditi plants 1 seed on the first day, and every day she plants 5 times as many seeds as the previous day. How many seeds will she plant on the third day?
  • A 5
  • B 25
  • C 125
  • D 625
💡 Explanation Day 1 = 1 seed, Day 2 = 5 seeds (1x5), Day 3 = 25 seeds (5x5).
Question 20 Difficulty 2
While helping at the local bakery, Priya learns that the number of pastries made increases by a factor of 2 every day. If they start with 10 pastries, how many will they have after 3 days?
  • A 40
  • B 80
  • C 160
  • D 320
💡 Explanation Day 1 = 20 pastries (10x2), Day 2 = 40 (20x2), Day 3 = 80 (40x2).
Question 21 Difficulty 3
During a school project, Aman is measuring how many seeds he can plant. If the seeds he plants triple every time, starting with 1 seed, how many seeds will he have planted after 4 times?
  • A 27
  • B 81
  • C 243
  • D 729
💡 Explanation After 4 times, it will be 3^4 = 81 seeds.
Question 22 Difficulty 3
In a cricket match, Raju's team scores runs as powers of 5. If they score 5 runs in the first over, how many will they score in the fourth over?
  • A 25
  • B 125
  • C 625
  • D 3125
💡 Explanation 4th over = 5^4 = 625 runs.
Question 23 Difficulty 3
During Diwali, Priya's family lights diyas. If they light 2 diyas and double the number each day, how many will they light on the fourth day?
  • A 8
  • B 16
  • C 32
  • D 64
💡 Explanation Day 1 = 2, Day 2 = 4, Day 3 = 8, Day 4 = 16.
Question 24 Difficulty 3
At the market, Neha sees that the price of vegetables increases by powers of 3. If the price of 1 kg is 10 rupees, what will it be after 3 increases?
  • A 90
  • B 270
  • C 810
  • D 2430
💡 Explanation After 3 increases, price = 10 x 3^3 = 270 rupees.
Question 25 Difficulty 3
Ravi is saving money every week. If he saves 10 rupees the first week and doubles his savings every week, how much will he save in the fifth week?
  • A 80
  • B 160
  • C 320
  • D 640
💡 Explanation Week 1 = 10, Week 2 = 20, Week 3 = 40, Week 4 = 80, Week 5 = 160.
Question 26 Difficulty 3
In a local festival, Sita's family prepares sweets. If they start with 5 sweets and each day they make 3 times as many as the previous day, how many sweets will they make on the third day?
  • A 45
  • B 135
  • C 405
  • D 1215
💡 Explanation Day 1 = 5, Day 2 = 15, Day 3 = 45.
Question 27 Difficulty 3
During a science project, Priya learns that the number of bacteria in a petri dish triples every hour. If she starts with 2 bacteria, how many will be there after 3 hours?
  • A 6
  • B 18
  • C 54
  • D 162
💡 Explanation After 3 hours, it will be 2 x 3^3 = 54 bacteria.
Question 28 Difficulty 3
In a vegetable garden, Rohan plants 2 seeds, and each week the number of seeds he plants triples. How many seeds will he have planted after 4 weeks?
  • A 54
  • B 162
  • C 486
  • D 1458
💡 Explanation Week 1 = 2, Week 2 = 6, Week 3 = 18, Week 4 = 54.
Question 29 Difficulty 3
During the festival, Aditi's family buys fruits. If they buy 3 fruits and every week they triple their purchase, how many fruits will they buy after 4 weeks?
  • A 81
  • B 243
  • C 729
  • D 2187
💡 Explanation After 4 weeks, it will be 3 x 3^4 = 243 fruits.
Question 30 Difficulty 3
In a local bakery, if the number of pastries made doubles every day and they start with 10 pastries, how many will they have after 5 days?
  • A 320
  • B 640
  • C 1280
  • D 2560
💡 Explanation After 5 days, it will be 10 x 2^5 = 320 pastries.
Question 31 Difficulty 4
During a local festival, Riya's family prepares sweets. If they start with 10 sweets, and every day they make 4 times as many sweets as the previous day, how many sweets will they have on the fifth day?
  • A 640
  • B 1280
  • C 2560
  • D 5120
💡 Explanation Day 1 = 10, Day 2 = 40, Day 3 = 160, Day 4 = 640, Day 5 = 2560.
Question 32 Difficulty 4
In a cricket match, if Ravi's team scores points in powers of 6, and they score 6 points in the first round, how many points will they score in the sixth round?
  • A 36
  • B 216
  • C 1296
  • D 7776
💡 Explanation 6th round = 6^6 = 1296 points.
Question 33 Difficulty 4
During the festival of Holi, Priya's family colors the water. If they start with 3 liters of color and triple it each day, how much color will they have on the fourth day?
  • A 27 liters
  • B 81 liters
  • C 243 liters
  • D 729 liters
💡 Explanation Day 1 = 3 liters, Day 2 = 9 liters, Day 3 = 27 liters, Day 4 = 81 liters.
Question 34 Difficulty 4
In a local farming community, Rohan plants 4 seeds and each week the number of seeds he plants increases by a factor of 5. How many seeds will he have planted after 3 weeks?
  • A 500
  • B 1000
  • C 1250
  • D 1500
💡 Explanation Week 1 = 4, Week 2 = 20, Week 3 = 100.
Question 35 Difficulty 4
Sita is saving money for a new bike. She starts with 100 rupees and doubles her savings every month. How much will she have after 6 months?
  • A 6400
  • B 12800
  • C 25600
  • D 51200
💡 Explanation After 6 months, it will be 100 x 2^6 = 6400 rupees.
Question 36 Difficulty 4
In a local festival, if Nisha's family makes sweets that quadruple every day, and they start with 6 sweets, how many sweets will they have on the fifth day?
  • A 960
  • B 3840
  • C 15360
  • D 61440
💡 Explanation Day 1 = 6, Day 2 = 24, Day 3 = 96, Day 4 = 384, Day 5 = 1536.
Question 37 Difficulty 4
During a school project, Ravi learns that money doubles every year. If he invests 500 rupees, how much will he have after 5 years?
  • A 8000
  • B 16000
  • C 32000
  • D 64000
💡 Explanation After 5 years, it will be 500 x 2^5 = 16000.
Question 38 Difficulty 4
In a local cricket tournament, if a player scores 2 points in the first match and triples his score in each subsequent match, how many points will he have after 6 matches?
  • A 729
  • B 2187
  • C 6561
  • D 19683
💡 Explanation After 6 matches, points = 2 x 3^6 = 1458.
Question 39 Difficulty 4
In a local festival, if Riya's family has 1 rupee and they double it every day, how much will they have after 10 days?
  • A 1024
  • B 2048
  • C 4096
  • D 8192
💡 Explanation After 10 days, it will be 1 x 2^10 = 1024.
Question 40 Difficulty 4
In a local marketplace, if the number of customers triples every hour and starts with 10 customers, how many will be there after 5 hours?
  • A 2430
  • B 7290
  • C 21870
  • D 65610
💡 Explanation After 5 hours, it will be 10 x 3^5 = 2430.
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