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Q2 G6 Review

Total questions: 50

Worksheet time: 3hrs 30mins

Name
Class
Date
1.

Simplify:


3x + 8x

a)

24x

b)

11x

c)

5x

d)

3x

2.

Simplify:


5 - 2 x 7

a)

21

b)

-9

c)

17

d)

70

3.

Simplify


8a + 2b – 2b – 7a

a)

15a + 4b

b)

1a

c)

1a - 2b

d)

-1a

4.

On her birthday, Carrie will be 5 more than twice her sister’s age.


(write the expression only)

a)

5 x 2

b)

5 x 2x

c)

2x + 5

d)

7x

5.

Five times the sum twice a number and twelve.


(write the expression only)

a)

5 x 2 x 12

b)

5 (2x + 12)

c)

5 ( 2/x + 12)

d)

5 x 2X x 12

6.

What is the equivalent decimal to the fraction

 12\frac{1}{2}  

a)

1.20

b)

0.12

c)

0.5

d)

0.05

7.

What is the equivalent decimal to the fraction

 15\frac{1}{5}  

a)

15

b)

0.15

c)

0.20

d)

0.02

8.

What is the decimal that is equivalent to 65% ?

a)

0.65

b)

6.5

c)

650

d)

0.065

9.

What is the equivalent fraction (mixed number) to the decimal 1.80 in its simplest form?

a)

 1 181\ \frac{1}{8}  

b)

 1 451\ \frac{4}{5}  

c)

 11180\frac{11}{180}  

d)

 1 8101\ \frac{8}{10}  

10.

On a field trip to the Museum of Art, the teacher to student ratio was 1 teacher to 8 students (1/8).


What is the ratio written as a percent?

a)

18%

b)

1.8%

c)

0.125%

d)

12.5%

11.

Which is larger:

 1 310     or     26201\ \frac{3}{10}\ \ \ \ \ or\ \ \ \ \ \frac{26}{20}  

a)

 1 3101\ \frac{3}{10}  

b)

They are equal

c)

 2620\frac{26}{20}  

12.

Using the equation:

5 + x = 8

What value of x would make this equation true?

a)

x = 3

b)

x = - 3

c)

x = 13

d)

x = - 13

13.

Using the equation:

6x = 66

What value of x would make this equation true?

a)

x = 11

b)

x = 6

c)

x = 66

d)

x = 60

14.

If the value of x is 4 which equation(s) would be false?

a)

 12x=812-x=8  

b)

 24x = 6\frac{24}{x}\ =\ 6  

c)

 12 x = 2412\ x\ =\ 24  

d)

 10 x = 4010\ x\ =\ 40  

15.

Megan gets paid $5.00 per hour to babysit her little brother. She told her friend that if she works 14 hours, she will earn $80.00.

Is this statement true or false?

a)

True

b)

False

16.

Pablo’s family is taking a vacation to Disney Land. They have $2200 to spend on this vacation and each day at the resort will cost $360 for the whole family.

Can the family stay at the resort for 6 days?

a)

Yes

b)

No

17.

Solve for the missing value:

 13 = 7x\frac{1}{3}\ =\ \frac{7}{x}  

a)

7

b)

21

c)

14

d)

28

18.

Solve for the missing value:

 520 = w32\frac{5}{20}\ =\ \frac{w}{32}  

a)

w = 20

b)

w = 160

c)

w = 8

d)

w = 5

19.

Mike drove 135 miles in 3 hours. How fast was he driving (mph)?

a)

45 mph

b)

55 mph

c)

30 mph

d)

405 mpg

20.

A school cafeteria makes cheese sauce for macaroni using 15 cups of swiss cheese and 17 cups of cheddar cheese.

Perry tries to make the sauce for a family party using 5 cups of swiss and 7 cups of cheddar.

Is this the same ratio as the cafeteria?

a)

Yes 1517 = 57\frac{15}{17}\ =\ \frac{5}{7}

b)

No 1517 57\frac{15}{17}\ \ne\ \frac{5}{7}

21.

Jack has a recipe for oatmeal that uses 3 cups of oats to 5 cups of water (3/5). Evan’s recipe uses 4 cups of oats to 7 cups of water (4/7).

Who has the thicker oatmeal, Jack or Evan?

a)

Jack because 35 > 47 \frac{3}{5}\ >\ \frac{4}{7}\

b)

Evan because 35 < 47\frac{3}{5}\ <\ \ \frac{4}{7}

22.

Sovle and reduce to its simpilfied form:

 127 (512)\frac{12}{7}\ \left(\frac{5}{12}\right)  

a)

 6084\frac{60}{84}  

b)

 57\frac{5}{7}  

c)

 35144\frac{35}{144}  

d)

 14435\frac{144}{35}  

23.

Solve and reduce to its simplest form.

 13 ÷ 209\frac{1}{3}\ \div\ \frac{20}{9}  

a)

 960\frac{9}{60}  

b)

 609\frac{60}{9}  

c)

 320\frac{3}{20}  

d)

 6 236\ \frac{2}{3}  

24.

Michael reads at a rate of 15.5 pages per hour. If he reads for 2.5 hours, how many pages will he have read?

a)

37 1237\ \frac{1}{2} pages

b)

6 pages

c)

38 3438\ \frac{3}{4} pages

d)

30 pages

25.

Which of the following numbers is NOT a Whole Number?

a)

1

b)

2,846

c)

-83

d)

0

26.

Which of the following is an Integer?

a)

12\frac{1}{2}

b)

- 35

c)

0.83

d)

72

27.

Which of the following is a whole number?

a)

13

b)

13\frac{1}{3}

c)

-13

d)

0.13

28.

Solve for x


4 + x = 18

a)

x = 14

b)

x = 22

c)

x = 4.5

d)

x = 72

29.

Solve for x:


8x = 72

a)

x = 9

b)

x = 64

c)

x = 80

d)

x = 576

30.

Solve for x:

 12x = 72\frac{1}{2}x\ =\ 72  

a)

x = .5

b)

x = 72

c)

x = 144

d)

x = 36

31.

A square has 4 equal sides with lengths of 3x. If the perimeter of the square is 84 inches squared, what is the value of x?


Use the equation 12x = 84

a)

x = 12

b)

x = 84

c)

x = 1,008

d)

x = 7

32.

Solve the following:


8 - 12 =

a)

4

b)

-4

c)

20

d)

-20

33.

19 + 26 =

a)

-7

b)

494

c)

1.4

d)

45

34.

0.7 + 2.8

a)

3.5

b)

5.3

c)

1.96

d)

-2.1

35.

35 x 7 =

a)

5

b)

28

c)

42

d)

245

36.

Solve:

 14 × 27 = \frac{1}{4}\ \times\ \frac{2}{7}\ =\   

a)

 114\frac{1}{14}  

b)

 78\frac{7}{8}  

c)

 225\frac{2}{25}  

d)

 1528\frac{15}{28}  

37.

Solve:

 0.85 ÷ 0.5 =0.85\ \div\ 0.5\ =  

a)

0.90

b)

1.7

c)

0.35

d)

0.425

38.

Reduce the fraction:

 824\frac{8}{24}  

a)

 26\frac{2}{6}  

b)

 13\frac{1}{3}  

c)

It is already reduced

d)

 412\frac{4}{12}  

39.

Reduce the fraction:

 2856\frac{28}{56}  

a)

 1428\frac{14}{28}  

b)

 12\frac{1}{2}  

c)

 24\frac{2}{4}  

d)

It is already reduced

40.

Are the following fractions equivalent?

 39         36108\frac{3}{9}\ \ \ \ \ \ \ \ \ \frac{36}{108}  

a)

yes

b)

no

41.

Which of these factor trees is correct?

a)

the one on the LEFT

b)

the one in the MIDDLE

c)

the one on the RIGHT

d)

they are all correct?

42.

Using the picture, did John complete the factor tree correctly?

a)

Yes

b)

No

43.

Using the picture, did Jilly complete the factor tree correctly?

a)

Yes

b)

No

44.

Solve (be careful)

a)

81

b)

243

c)

54

d)

36

45.

Using the rule above, what is

 727^2  

a)

7 x 2

b)

7 x 7

c)

2 x 2

d)

7 x 7 x 7

46.

Using the above picture, what is

 242^4  

a)

16

b)

8

c)

4

47.

What is 20% of 100?

a)

20

b)

2

c)

80

d)

8

48.

What scale factor was used to create these equivalent fractions?


 112 = 448\frac{1}{12}\ =\ \frac{4}{48}  

a)

2

b)

4

c)

12

d)

8

49.

What scale factor was used to create the equivalent fractions?


 5175 = 1725\frac{51}{75}\ =\ \frac{17}{25}  

a)

17

b)

2

c)

3

d)

25

50.

Simplify the expression:


 22 + 8 ×3 12^2\ +\ 8\ \times3\ -1  

a)

27

b)

35

c)

36

d)

20