6th Grade Math Textbook, Fundamentals

1.Which of these ratios are equivalent? and ;

and ;  ; and

2.Tell the ratio in simplest form: 3 pt to 1 gal;

18 in. to 1 yd; 3 days to 1 wk; 50 min to 5 sec

3.Write as percents: , , , , , , , ,

, ,

4.Give two ratios equivalent to: , , , ,

5.Tell if the expression is equal.  ;  ;  ;

 ;  ; 

6.Name each decimal as a percent. 0.6, 0.9, 0.52, 0.76,

0.05, 0.01, 0.545, 0.675, 0.885, 0.99

7. Solve for x. Find the original number. 50% of xis
   80, 15% of xis 100, 25% of xis 125, 75% of xis 250
   8. What is a prime number that is greater than 10 and
   less than 20? What is an even prime number that is
   greater than 1 and less than 10?
   9. What number is of 24?


8. Solve each proportion:  ;  ;  ;
    ; 


9. Find the missing term.  ;  ;  ;
    ;  ; 


10. If 10% of the amount sold is $50, what is the
    amount of sales? If 20% is $40 what is the
    amount sold?


11. Find 150% of 10, 20, 60, 80, 18, 24, 90, 200


12. Express as a decimals: 110%, 130%, 150%, 125%,
    190%, 200%, 240%, 899%, 375%

n

100

n

8

3

4

8

n

32

36

n

7

12

21

15

n

5

1

28

n

7

3

81

n

9

10

12

30

n

20

60

100

n

1

35

7

6

5

30

n

1

n

6

42

7

8

45

81

5

9

10

19

4

8

5

20

1

6

4

20

1

5

1

4

1

2

24

64

3

8

1

5

5

6

1

4

3

8

2

7

96

100

4

50

7

10

2

100

8

25

50

100

2

10

2

5

75

100

16

50

5

50

0.3

6

0.6

12.2

18

45

9

27

4.8

0.6

8

0.8

1

2

9

18

SET 13..........................................................................................................

1.Make each ratio equivalent to 2:5.

8: , 10: , 12: , 14: , 18: , 20:

2.Make each set of ratios equivalent: 3:4 6: ;

2:3 4: ; 5:6  :30; 7:8  :24

3.Tell the value of n:  ;  ;  ;  ;



4.Tell the equivalent fraction that has a denominator

of 10 0: , , , , ,

5.Tell the equivalent fraction that has a denominator

of 10 0: , , , , ,

6.Jim receives 60% of the profits and Luc receives

40%. How much more does Jim receive? Express

Jim and Luc’s profits as a ratio.

7. Bea gave correct answers to 82 out of 100 questions.
   What percent of her answers were correct?


8. A salt solution contains 2 g of salt to every 3 g of
   water. What is the ratio of water to salt?


9. Select the better buy: 5 oz for 39¢ or 1 lb for $1.20;
   2 L for 79¢ or 3 L for $1.19; 3 p for $4 or 5 p for $5


10. Find the equivalent ratios: 


11. Write each percent as a decimal. 107%, 226%,
    553%, 611%, 101%, 732%, 225%, 178%


12. Write each fraction as a percent.
    , , , , , , , ,


13. Write each decimal as a percent. 0.8, 0.67, 5.55

25

5

20

7

276

100

199

100

1

200

6

5

3

2

9

5

3

1

30

c

21

c

15

c

12

c

6

c

3

4

4

25

1

2

11

10

7

10

11

20

7

50

2

5

3

4

9

50

3

25

13

20

9

10

12

5

24

20 n

n

8

4

2

3

4

5 5

8

n

9

n

25

n

45

???

?

??????

SET 14..........................................................................................................

1.What percent of 20 is: 2, 4, 5, 10, 15, 18, 20, 25?

2.Emil saved $15 out of $20. What percent of his

money did he save?

3.What percent of 300 is 30? What percent of 55 is 5?

What percent of 120 is 10? What percent of 88 is 4?

4.20 is what percent of 80? 5 is what percent of 40?

0.8 is what percent of 34? 6 is what percent of 36?

5.Calculate what the total cost is with a 15% tip.

$20, $45, $60, $75, $110, $150, $250

6. Solve. 90 is what percent of 30? 75 is what percent
   of 200? $180 is what percent of $500?


7. 112 % of a number is the same as what fraction
   times the number?


8. Rose won 3 out of 4 games. What percent of the
   games did she win?


9. 300 is 150% of what number? What percent of
   50 is 75? 250 is 25% of what number?


10. What percent of 10 is: 5, 2, 3, 7, 8, 4, 9, 15, 25?

1

2

SET 15..........................................................................................................

1.Find the commission. 10% commission on $250;

15% commission on $350; 9% commission of $600

2.Find each percentage. 10% of 50; 10% of 300;

25% of 50; 5% of 25; 150% of 50; 8% of 200

3.A discount of 5% brings a bill down to $19. Find the

amount of the original bill.

4.Find 25% of: 32, 8, 16, 64, 24, 56, 48, 70, 150

5.Find the mode for this data: 12, 8, 7, 4, 4, 4, 3, 3, 2, 2

6. Which number is divisible by 2 and 5: 8, 15, or 30?
   7. Irene’s watch gains 26.6 seconds in one week. About
   how many seconds does her watch gain in a day?


7. To travel 15 miles in 20 minutes, how many miles
   per hour must you be going?


8. Which number is divisible by 4 and 6: 32, 44, or 60?


9. If a leaky faucet loses 9 pt of water in 24 hours, how
   much water is lost in a week? in a 30-day month?

SET 16..........................................................................................................

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