📝 PM Review: Exponents

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Question 1 Difficulty 1
Draw a group of 3 circles and label it as 3^1. What do you see?
  • A 1 circle
  • B 3 circles
  • C 6 circles
  • D 9 circles
💡 Explanation 3^1 means 3 multiplied by itself 1 time, which is simply 3.
Question 2 Difficulty 1
Draw a group of 4 circles and label it as 4^1. What do you see?
  • A 2 circles
  • B 4 circles
  • C 8 circles
  • D 16 circles
💡 Explanation 4^1 means 4 multiplied by itself 1 time, which is just 4.
Question 3 Difficulty 1
Draw a group of 5 circles and label it as 5^1. What do you see?
  • A 1 circle
  • B 2 circles
  • C 5 circles
  • D 10 circles
💡 Explanation 5^1 means 5 multiplied by itself 1 time, which is simply 5.
Question 4 Difficulty 1
Draw a group of 2 circles and label it as 2^1. What do you see?
  • A 1 circle
  • B 2 circles
  • C 3 circles
  • D 4 circles
💡 Explanation 2^1 means 2 multiplied by itself 1 time, which is 2.
Question 5 Difficulty 1
Draw a group of 6 circles and label it as 6^1. What do you see?
  • A 3 circles
  • B 6 circles
  • C 12 circles
  • D 36 circles
💡 Explanation 6^1 means 6 multiplied by itself 1 time, which is simply 6.
Question 6 Difficulty 1
Draw a group of 3 circles and label it as 3^1. How many circles are there?
  • A 1
  • B 3
  • C 4
  • D 9
💡 Explanation 3^1 means 3 multiplied by itself 1 time, which is 3.
Question 7 Difficulty 1
Draw a group of 7 circles and label it as 7^1. What do you see?
  • A 1 circle
  • B 2 circles
  • C 7 circles
  • D 14 circles
💡 Explanation 7^1 means 7 multiplied by itself 1 time, which is simply 7.
Question 8 Difficulty 1
Draw a group of 8 circles and label it as 8^1. What do you see?
  • A 4 circles
  • B 8 circles
  • C 16 circles
  • D 32 circles
💡 Explanation 8^1 means 8 multiplied by itself 1 time, which is simply 8.
Question 9 Difficulty 1
Draw a group of 9 circles and label it as 9^1. What do you see?
  • A 1 circle
  • B 9 circles
  • C 18 circles
  • D 27 circles
💡 Explanation 9^1 means 9 multiplied by itself 1 time, which is simply 9.
Question 10 Difficulty 1
Draw a group of 10 circles and label it as 10^1. What do you see?
  • A 5 circles
  • B 10 circles
  • C 20 circles
  • D 30 circles
💡 Explanation 10^1 means 10 multiplied by itself 1 time, which is 10.
Question 11 Difficulty 2
Draw a number line from 0 to 5 and mark the points for 2^0, 2^1, and 2^2. What do you see?
  • A 0, 1, 2
  • B 1, 2, 4
  • C 2, 4, 8
  • D 1, 3, 5
💡 Explanation 2^0 = 1, 2^1 = 2, and 2^2 = 4.
Question 12 Difficulty 2
Draw a number line from 0 to 10 and mark the points for 3^0, 3^1, and 3^2. What do you see?
  • A 0, 1, 3
  • B 1, 3, 9
  • C 1, 2, 3
  • D 2, 4, 6
💡 Explanation 3^0 = 1, 3^1 = 3, and 3^2 = 9.
Question 13 Difficulty 2
Draw a number line from 0 to 8 and mark the points for 4^0, 4^1, and 4^2. What do you see?
  • A 0, 1, 4
  • B 1, 4, 8
  • C 2, 4, 6
  • D 1, 3, 7
💡 Explanation 4^0 = 1, 4^1 = 4, and 4^2 = 16 (but we only mark up to 8).
Question 14 Difficulty 2
Draw a number line from 0 to 12 and mark the points for 5^0, 5^1, and 5^2. What do you see?
  • A 0, 1, 5
  • B 1, 5, 10
  • C 2, 5, 7
  • D 1, 4, 8
💡 Explanation 5^0 = 1, 5^1 = 5, and 5^2 = 25 (but we only mark up to 12).
Question 15 Difficulty 2
Draw a number line from 0 to 15 and mark the points for 6^0, 6^1, and 6^2. What do you see?
  • A 0, 1, 6
  • B 1, 6, 12
  • C 2, 6, 10
  • D 1, 4, 8
💡 Explanation 6^0 = 1, 6^1 = 6, and 6^2 = 36 (but we only mark up to 15).
Question 16 Difficulty 2
Draw a number line from 0 to 20 and mark the points for 7^0, 7^1, and 7^2. What do you see?
  • A 0, 1, 7
  • B 1, 7, 14
  • C 2, 4, 8
  • D 1, 3, 6
💡 Explanation 7^0 = 1, 7^1 = 7, and 7^2 = 49 (but we only mark up to 20).
Question 17 Difficulty 2
Draw a number line from 0 to 5 and mark the points for 8^0, 8^1, and 8^2. What do you see?
  • A 0, 1, 8
  • B 1, 8, 16
  • C 2, 4, 6
  • D 1, 3, 5
💡 Explanation 8^0 = 1, 8^1 = 8, and 8^2 = 64 (but we only mark up to 5).
Question 18 Difficulty 2
Draw a number line from 0 to 10 and mark the points for 9^0, 9^1, and 9^2. What do you see?
  • A 0, 1, 9
  • B 1, 9, 18
  • C 1, 3, 5
  • D 1, 4, 7
💡 Explanation 9^0 = 1, 9^1 = 9, and 9^2 = 81 (but we only mark up to 10).
Question 19 Difficulty 2
Draw a number line from 0 to 6 and mark the points for 10^0, 10^1, and 10^2. What do you see?
  • A 0, 1, 10
  • B 1, 10, 100
  • C 2, 4, 6
  • D 1, 3, 5
💡 Explanation 10^0 = 1, 10^1 = 10, and 10^2 = 100 (but we only mark up to 6).
Question 20 Difficulty 2
Draw a number line from 0 to 20 and mark the points for 11^0, 11^1, and 11^2. What do you see?
  • A 0, 1, 11
  • B 1, 11, 121
  • C 2, 4, 6
  • D 1, 3, 5
💡 Explanation 11^0 = 1, 11^1 = 11, and 11^2 = 121 (but we only mark up to 20).
Question 21 Difficulty 3
If 2^3 = ? Verify by drawing a number line from 0 to 10 and marking the point for 2^3.
  • A 6
  • B 8
  • C 10
  • D 4
💡 Explanation 2^3 = 2 * 2 * 2 = 8, which should be marked on the number line.
Question 22 Difficulty 3
If 3^2 = ? Verify by drawing a number line from 0 to 10 and marking the point for 3^2.
  • A 6
  • B 9
  • C 3
  • D 12
💡 Explanation 3^2 = 3 * 3 = 9, which should be marked on the number line.
Question 23 Difficulty 3
If 4^2 = ? Verify by drawing a number line from 0 to 20 and marking the point for 4^2.
  • A 8
  • B 16
  • C 12
  • D 20
💡 Explanation 4^2 = 4 * 4 = 16, which should be marked on the number line.
Question 24 Difficulty 3
If 5^2 = ? Verify by drawing a number line from 0 to 30 and marking the point for 5^2.
  • A 10
  • B 15
  • C 25
  • D 20
💡 Explanation 5^2 = 5 * 5 = 25, which should be marked on the number line.
Question 25 Difficulty 3
If 6^2 = ? Verify by drawing a number line from 0 to 50 and marking the point for 6^2.
  • A 36
  • B 30
  • C 20
  • D 12
💡 Explanation 6^2 = 6 * 6 = 36, which should be marked on the number line.
Question 26 Difficulty 3
If 7^2 = ? Verify by drawing a number line from 0 to 60 and marking the point for 7^2.
  • A 42
  • B 49
  • C 35
  • D 20
💡 Explanation 7^2 = 7 * 7 = 49, which should be marked on the number line.
Question 27 Difficulty 3
If 8^2 = ? Verify by drawing a number line from 0 to 80 and marking the point for 8^2.
  • A 64
  • B 72
  • C 48
  • D 36
💡 Explanation 8^2 = 8 * 8 = 64, which should be marked on the number line.
Question 28 Difficulty 3
If 9^2 = ? Verify by drawing a number line from 0 to 100 and marking the point for 9^2.
  • A 81
  • B 72
  • C 90
  • D 45
💡 Explanation 9^2 = 9 * 9 = 81, which should be marked on the number line.
Question 29 Difficulty 3
If 10^2 = ? Verify by drawing a number line from 0 to 120 and marking the point for 10^2.
  • A 100
  • B 90
  • C 70
  • D 110
💡 Explanation 10^2 = 10 * 10 = 100, which should be marked on the number line.
Question 30 Difficulty 3
If 11^2 = ? Verify by drawing a number line from 0 to 150 and marking the point for 11^2.
  • A 121
  • B 110
  • C 100
  • D 130
💡 Explanation 11^2 = 11 * 11 = 121, which should be marked on the number line.
Question 31 Difficulty 4
If 2^5 - 2^2 = ?, verify by drawing a number line from 0 to 40 and marking the points for both exponents.
  • A 20
  • B 24
  • C 30
  • D 28
💡 Explanation 2^5 = 32 and 2^2 = 4. So, 32 - 4 = 28.
Question 32 Difficulty 4
If 3^4 - 3^2 = ?, verify by drawing a number line from 0 to 100 and marking the points for both exponents.
  • A 72
  • B 60
  • C 45
  • D 50
💡 Explanation 3^4 = 81 and 3^2 = 9. So, 81 - 9 = 72.
Question 33 Difficulty 4
If 4^3 + 4^2 = ?, verify by drawing a number line from 0 to 100 and marking the points for both exponents.
  • A 80
  • B 70
  • C 100
  • D 90
💡 Explanation 4^3 = 64 and 4^2 = 16. So, 64 + 16 = 80.
Question 34 Difficulty 4
If 5^3 - 5^1 = ?, verify by drawing a number line from 0 to 150 and marking the points for both exponents.
  • A 120
  • B 110
  • C 100
  • D 90
💡 Explanation 5^3 = 125 and 5^1 = 5. So, 125 - 5 = 120.
Question 35 Difficulty 4
If 6^3 + 6^2 - 6^1 = ?, verify by drawing a number line from 0 to 300 and marking the points for all exponents.
  • A 240
  • B 250
  • C 260
  • D 270
💡 Explanation 6^3 = 216, 6^2 = 36, and 6^1 = 6. So, 216 + 36 - 6 = 246.
Question 36 Difficulty 4
If 7^2 + 8^2 - 1 = ?, verify by drawing a number line from 0 to 100 and marking the points for both exponents.
  • A 113
  • B 100
  • C 90
  • D 70
💡 Explanation 7^2 = 49 and 8^2 = 64. So, 49 + 64 - 1 = 112.
Question 37 Difficulty 4
If 9^3 - 9^1 = ?, verify by drawing a number line from 0 to 800 and marking the points for both exponents.
  • A 728
  • B 700
  • C 600
  • D 500
💡 Explanation 9^3 = 729 and 9^1 = 9. So, 729 - 9 = 720.
Question 38 Difficulty 4
If 10^3 + 10^2 - 10^1 = ?, verify by drawing a number line from 0 to 1200 and marking the points for all exponents.
  • A 1090
  • B 1100
  • C 1200
  • D 1150
💡 Explanation 10^3 = 1000, 10^2 = 100, and 10^1 = 10. So, 1000 + 100 - 10 = 1090.
Question 39 Difficulty 4
If 11^2 + 2^3 - 1 = ?, verify by drawing a number line from 0 to 150 and marking the points for both exponents.
  • A 121
  • B 130
  • C 140
  • D 150
💡 Explanation 11^2 = 121 and 2^3 = 8. So, 121 + 8 - 1 = 128.
Question 40 Difficulty 4
If 12^2 - 2^2 = ?, verify by drawing a number line from 0 to 150 and marking the points for both exponents.
  • A 140
  • B 144
  • C 148
  • D 150
💡 Explanation 12^2 = 144 and 2^2 = 4. So, 144 - 4 = 140.
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