Download Name Date Math 6 - Unit 2 Final Exam Review Lesson 1: Exploring

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Math 6 - Unit 2 Final Exam Review
Lesson 1: Exploring Large Numbers
1. Write each number in standard form.
a) 2 million 186 thousand 23
b) 4 000 000 000 + 6 000 000 + 900 000 + 60 000 + 5000 + 400 + 80 + 4
2. Write each number in expanded form.
a) 184 267 317
b) 4 300 627 803
c) 17 652 425
d) 85 697 304 281
3. Write each number in words.
a) 1 856 374 021 356
b) 85 609 327 004
4. Write the value of each underlined digit.
a) 184 267 317
b) 4 300 627 803
5. Write the number that is:
a) 10 000 less than 987 624 325
b) 100 000 more than 2 325 678 141
Lesson 2: Exploring Multiples
6. List the first 10 multiples of each number.
a) 6
b) 25
c) 12
7. Find the first 3 common multiples of each pair of numbers.
a) 4 and 7
b) 2 and 9
c) 5 and 8
8. Find the first 2 common multiples of each set of numbers.
a) 4, 6, and 8
b) 2, 3, and 4
9. Draw a large Venn diagram with 3 overlapping loops.
Label the loops Multiples of 2, Multiples of 3, and Multiples of 5.
Sort these numbers in the Venn diagram:
20, 12, 21, 8, 9, 15, 29, 25, 30, 36
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Lesson 3: Prime and Composite Numbers
10. Tell if each number is prime or composite.
a) 73
b) 48
c) 23
d) 59
e) 39
11. Which numbers below are factors of 35?
How do you know?
2, 3, 4, 5, 6, 7, 8, 9, 10
12. Lemons are packaged in bags of 6.
Which of these numbers of lemons can be packaged in full bags?
How do you know?
96, 46, 42, 60, 63, 72, 85
Lesson 4: Investigating Factors
13. List all the factors of each number.
a) 84
b) 48
c) 51
d) 16
14. Draw a factor tree to find the factors of each number that are prime.
a) 32
b) 60
c) 42
15. Draw 2 different factor trees for each number.
a) 66
b) 90
16. a) Is 42 a perfect number? Explain how you know.
b) Is 32 an almost-perfect number? Explain how you know.
Lesson 5: Order of Operations
17. Evaluate each expression. Use the order of operations.
a) 24  6  7
b) 38 – 16  4
c) 55 + 15  3
d) 7  (4 + 8)
e) 28  (16 – 9)
f) 50 – 16 + 4
18. Use a calculator to evaluate.
a) 1256 – 57  8
c) 96 342 – (573  29)
b) 684  23  4
d) 4094  89 + 318
19. Use brackets to make each number sentence true.
a) 15 – 6  3 + 7 = 20
b) 50 – 6  6 = 14
c) 60 + 14  2 = 67
d) 100 + 44  12 = 12
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20. Use mental math to evaluate.
a) (70  2)  7
c) 500 + 250  2
e) (3000 + 2000)  50
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b) 10 000 – 3000  3
d) 2500  (50  2)
f) 180  (2  9)
21. Danny bought 6 shirts for $26 each and 2 pairs of pants for $55 a pair.
Which expression shows how much Danny spent, in dollars?
a) 6  26 × 2  55
b) 6  26 + 2  55
c) (6 + 2)  (26 + 55)
22. Callie bought 3 packages of drinking boxes.
Each package has 6 drinking boxes.
Callie shared the drinking boxes equally among 9 children.
How many drinking boxes did each child get?
Write a number sentence to show the order of operations you used.
Lesson 6: What Is an Integer?
23. Write an integer to represent each situation.
a) The temperature is 8° below 0°C.
b) The valley was 700 m below sea level.
c) Victor spent $89 of his savings.
d) The plane flew at an altitude of 20 000 m.
e) Chuck’s golf score was 5 under par.
24. A photo of a close finish of a race showed:
• Jan 3 m before the finish line
• Simon 1 m before the finish line
• Bryn 2 m after the finish line
• Nikki 4 m after the finish line.
Suppose 0 represents the finish line.
Use first initials to show the position of each racer on the number line.
Lesson 7: Comparing and Ordering Integers
1. Order the integers in each set from least to greatest.
a) 0, +6, –6, –10, +9
b) +25, +17, –23, –8, +12
c) +4, –9, +16, –25, +1
d) –52, +45, +76, –30, –121
3. Copy and complete by placing < or > in each box.
a) –8 –7
b) +9 +20
c) –12 + 4
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This page may have been modified from its original. Copyright © 2009 Pearson Education Canada
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Unit 2 - Final Review Answers
1. a) 2 186 023
b) 4 006 965 484
2. a) 100 000 000 + 80 000 000 + 4 000 000
+ 200 000 + 60 000 + 7000 + 300 + 10 + 7
b) 4 000 000 000 + 300 000 000 + 600 000
+ 20 000 + 7000 + 800 + 3
3. a) one trillion eight hundred fifty-six billion
three hundred seventy-four million twentyone thousand three hundred fifty-six
b) eighty-five billion six hundred nine million
three hundred twenty-seven thousand four
4. a) 80 000 000
b) 600 000
5. a) 987 614 325
b) 2 325 778 141
6. a) 6, 12, 18, 24, 30, 36, 42, 48, 54, 60
b) 25, 50, 75, 100, 125, 150, 175, 200,
225, 250
c) 12, 24, 36, 48, 60, 72, 84, 96, 108, 120
7. a) 24, 48, 72
c) 90, 180, 270
e) 18, 36, 54
8. a) 12 and 24
c) 24 and 48
14. a) 2
b) 2, 3, 5
c) 2, 3, 7
b) 21, 42, 63
d) 28, 56, 84
f) 40, 80, 120
b) 20 and 40
d) 12 and 24
15. a)
9.
b)
10. a) prime
d) prime
b) composite
e) composite
c) prime
11. 10, 21, 35
12. 96, 42, 60, 72
13. a)
b)
c)
d)
1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84
1, 2, 3, 4, 6, 8, 12, 16, 24, 48
1, 3, 17, 51
1, 2, 4, 8, 16
16. a) The factors of 42 are:
1, 2, 3, 6, 7, 14, 21, and 42.
If I add all the factors except 42, I get 54.
So, 42 is not a perfect number.
b) The factors of 32 are: 1, 2, 4, 8, 16, and 32.
If I add all the factors except 32, I get 31.
So, 32 is an almost-perfect number.
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17. a) 28
d) 84
18. a) 800
19. a)
b)
c)
d)
b) 34
e) 4
b) 3933
Date
c) 60
f) 38
c) 79 725 d) 364
15 – (6  3) + 7 = 20
50 – (6  6) = 14
60 + (14  2) = 67
(100 + 44)  12 = 12
20. a) 20
d) 25
b) 1000
e) 100
c) 1000
f) 10
21. 6  26 + 2  55
22. (3  6)  9 = 2
23. a) –8
d) +20 000
b) –700
e) –5
c) –89
24.
25. a)
b)
c)
d)
–10, –6, 0, +6, +9
–23, –8, +12, +17, +25
–25, –9, +1, +4, +16
–121, –52, –30, +45, +76
26. a) <
d) >
b) <
e) >
c) <
f) >
The right to reproduce or modify this page is restricted to purchasing schools.
This page may have been modified from its original. Copyright © 2009 Pearson Education Canada