6th Grade Math Textbook, Fundamentals

1.Write an equation for each. one less than ten is nine;

one more than twice three is seven; five times seven

is thirty-five

2.Evaluate the expression 7awhen a11.

Evaluate the expression 5bwhen b8.

3.Solve. 3, 7 x42, 36, 0 

4.Divide by 3: 12, 9, 3, 6, 6, 15, 15, 0, 18

5.Write an inequality for each. double a value is less

than or equal to 12; the sum of yand 7 is less than

or equal to 11

6.Write each as a word sentence. 4 x15; 21  4 x;

x(4) 9;  9  6 m; 4 a• 2.2; 12 y

7. Which is least: , , , or?
   8. Simplify each expression. 5a 11  3 a;
   6 b 2 ab2(ab); 11xy 9 y 17 xy
   9. Write each as an expression.
   the sum of 7 and 8.03, a number decreased by 19.9,
   24 divided by twice a number, 2 increased by  9


8. Tell the correct relation. (Use , , .) 6 7;
    3 2;  5 9; 4 4; 9 9


9. Tell which fraction is less: or ; or
   or ; or ; or ; or


10. On a horizontal number line there are two fractions:
    and. Name 3 fractions between these two.


11. 90 is of what number? 9 is of what number?


12. 

3

4

?

15

?

27

?

21

?

30

?

24

?

18

?

12

1

3

3

4

6

8

5

8

6

5

5

6

2

3

3

2

9

4

4

9

3

7

7

3

1

6

2

5

3

4

2

3

5

10

50

100

2

6

1

2

????

x?

1000

n

 6

k

3

SET 5............................................................................................................

1.Solve. 8 x19; a 16  1 20; 7 r 5 11;

 3  9 y;  3 (2)^2 x; 3 x10; n 6  7

2.Tell an equivalent fraction that has a denominator

of 10 0 0: , , , ,

3.Express the following as decimals:

, , , , , , , , , ,

4.Rename each fraction or mixed number as

an equivalent decimal. ; ; ; ; 3 ; 9 ; 2 ;

2 ; 5 ; 1

5.Add. 25.9 15.6; 21.09 17.9; 15.29 11.01;

4.3 (2.7); 9.08 (1.3); 100.5 (90.5)

6.Find the difference. 1 (9) n,  14 (2) n,

10 (6) n, 15  5 n,  2  5 n,

 8 (7) n

7. Add or subtract. 14 (8) n,  14  8 n,
    14 (8) n,  18 (9) n,  18  9 n


8. Estimate the sum or difference by rounding.
   60.1 9.7; 15.9 4.1; 0.075 0.12; 0.09 0.9


9. Estimate the sum or difference by using front-end
   estimation. 56.5 9.5; 17.1 3.01; 10.5 8.08


10. Subtract. 3.05 0.95; 22.4 (8.5); 7.1 (1.1)


11. Give the simplest number name for each:
    22 , 3^2 , 9^2 , 4^1 , 2^3 , 1^3 , 5^0 , 5^3 , 10^0 , 10^2


12. Write the standard numeral for:
    (4 104 ) (2 103 ) (5 102 ) (3 101 )
    (7 105 ) (8 104 ) (3 102 ) (9 101 )


13. Name the expanded form with exponents
    for 28,404.

11

20

3

8

2

5

3

10

49

50

3

20

1

2

3

4

1

8

4

5

1

8

1

5

1

3

4

5

3

5

2

5

1

5

3

4

1

4

1

2

1

10

9

10

3

10

1

25

2

50

1

250

SET 6............................................................................................................

1.Estimate each product. 0.6 • 0.7; 8.1 • 1.9; 0.55 • 2.2;

32.5 • 0.511; 45.5 • 0.005

2.Estimate each quotient. 27.8 9.01; 32.01 4.44;

0.36 0.09; 49.004 7.007; 64.008 8.006

3.Write the power of 10 in standard form. Multiply the

factors. 2.3    103 ; 1.7   10 ^3 ; 3.09   10 ^2 ; 4.1    100

4.Write in scientific notation: 728,000; 5,100,000;

0.033; 0.0065; 42,500,000; 0.0003; 0.0011

5. Rename each as a mixed number. , , , , ,
   , , ,


6. Change to improper fractions. 3 , 4 , 2 , 5 , 6 , 7 ,
   5, 3, 2, 7


7. Mt. Whitney is 14,484 ft high. If you climbed to a point
   250 ft below the top, how high would you have
   climbed?


8. Jim’s lunches costs $4.95. If he wants to leave a 15%
   tip, how much money should he leave?

109

9

5

7

6

7

2

9

2

7

1

7

6

7

5

7

4

7

2

7

3

7

95

9

89

9

28

9

40

9

58

9

47

9

76

9

65

9

SET 7............................................................................................................

1.Compare. (Use , , .) 0.2 0.3; 0.3 0.03;

0.006 0.02; 0.125 0.12; 0.009 0.001

2.Order from least to greatest: 0.1, 0.03, 0.001, 0.031

3.Change to a mixed number: , , ,

4.Express as fractions in simplest form: 0.5, 0.2, 0.3,

0.4, 0.25, 0.75, 0.80, 0.125, 0.375,

5.Simplify: , , , , , , , , , ,

6. Order from greatest to least:
   0.009, 0.9, 0.912, 0.091, 0.91


7. A room is 25 ft long. Express the length in yards
   and feet.


8. What percent of 1 yd^2 is 1 ft^2?


9. If 6.5 kg of rice is put into 100 boxes, how much
   rice will there be in each box?


10. What is the unit of measure represented by: L, kL,
    mL, daL, cL, m, cm^2 , dm^3 , mm, mg, kg, hg?

45

135

36

108

18

36

21

24

18

72

54

60

36

42

12

36

24

60

18

45

6

24

40

7

32

7

29

7

15

7

???

??

SET 8............................................................................................................

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