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10/16/20 Math 6 Quarter 1 Extra Credit: Unit 1 Review

Total questions: 15

Worksheet time: 4hrs 45mins

Name
Class
Date
1.

How many  34\frac{3}{4}  cup servings are in a box of flour that contains  9\frac{1}{2}  cups of flour?

a)

 101410\frac{1}{4}  

b)

 122312\frac{2}{3}  

c)

 338\frac{3}{38}  

d)

 8348\frac{3}{4}  

2.

What fraction will make this equation true?

a)

58\frac{5}{8}

b)

25\frac{2}{5}

c)

52\frac{5}{2}

d)

12\frac{1}{2}

3.

Christine is making some cakes. She has 5 cups of flour and needs 1251\frac{2}{5}  cups of flour to make each cake.  Christine does this division:  5÷125=3475\div1\frac{2}{5}=3\frac{4}{7}  . What is the exact meaning of this quotient?


a)

She can make 3 cakes and have  47\frac{4}{7}  cups of flour leftover.

b)

There will be  3473\frac{4}{7}  cups of flour in each cake.

c)

She can make 3 cakes plus another  47\frac{4}{7}  of another cake.

d)

She will use a total of  3473\frac{4}{7}  cups of flour to make 5 cakes.

4.

 38÷45\frac{3}{8}\div\frac{4}{5}  

a)

 1532\frac{15}{32}  

b)

 3215\frac{32}{15}  

c)

 1240\frac{12}{40}  

d)

 713\frac{7}{13}  

5.

Sharon had a piece of string that was 710\frac{7}{10}  of a foot long.  She divided that string into 5 smaller pieces.  How many feet long was each new piece?


a)

 72\frac{7}{2}  

b)

 27\frac{2}{7}  

c)

 750\frac{7}{50}  

d)

 210\frac{2}{10}  

6.

Which pair of the following numbers have the same value?

a)

23 and 322^3\ and\ 3^2

b)

52 and 255^2\ and\ 2^5

c)

24 and 422^4\ and\ 4^2

d)

82 and 448^2\ and\ 4^4

7.

What is the value: 52 − 23 +4×35^2\ -\ 2^3\ +4\times3  


a)

18

b)

29

c)

33

d)

14

8.

What is the value of this expression: 40 + 3(20 − 24)40\ +\ 3\left(20\ -\ 2^4\right)  


a)

76

b)

47

c)

172

d)

52

9.

Consider this equation showing the distributive property.

24 + 40 = 4( (a)   + 10)


What value will make this equation true?  Enter the value as a number only (no words, no sentences, no punctuation).

10.

Choose all the expressions that are equivalent to 18 + 30

a)

9(2 + 3)

b)

6(3 + 5)

c)

3(6 + 10)

d)

15(3 + 2)

11.

Santa Claus is making Christmas sweaters for his elves. He has 3 yards of fabric. Each sweater uses 35\frac{3}{5} yards of fabric. How many sweaters can he make? Enter your answer as a number only (no words, no sentences, no punctuation).



(a)  

12.

Samuel is solving the problem below for his homework: 

 612divided by 34equals ?\frac{6}{12}divided\ by\ \frac{3}{4}equals\ ?  


Which of the following will give Samuel the correct answer?

a)

 612×34\frac{6}{12}\times\frac{3}{4}  

b)

 612×43\frac{6}{12}\times\frac{4}{3}  

c)

 126×43\frac{12}{6}\times\frac{4}{3}  

d)

 612÷43\frac{6}{12}\div\frac{4}{3}  

13.

What is the value of 317÷133\frac{1}{7}\div\frac{1}{3}  


a)

 3373\frac{3}{7}  

b)

 2221\frac{22}{21}  

c)

 667\frac{66}{7}  

d)

 31213\frac{1}{21}  

14.

What is the reciprocal of 2342\frac{3}{4}  ?  Enter the value using the numerator, the slash symbol / , then the denominator.  (Hint: remember to first turn this mixed number into an improper fraction!)




(a)  

15.

Isaiah went 45\frac{4}{5}  of a kilometer to his friend's house.  He used a skateboard for  12\frac{1}{2}  a kilometer and then walked the rest of the way.  What fraction of the total distance did he use a skateboard?


To solve this problem, which expression should be used?

a)

 45÷12\frac{4}{5}\div\frac{1}{2}  

b)

 12÷45\frac{1}{2}\div\frac{4}{5}  

c)

 45×12\frac{4}{5}\times\frac{1}{2}  

d)

 12+45\frac{1}{2}+\frac{4}{5}