6th Grade Math Review

Order of Operations

100

4²+3x5=

31

200

14-3(4-2)=

8

300

(7²+3)-(4²+1)=

35

400

(6²-3²)-15+1=

11

500

8²(2+3)/4=

80

Fractions

100

3/4 + 2/3=

9/12 + 8/12= 17/12= 1 5/12

200

8/9 - 1/3=

8/9 - 3/9= 5/9

300

2/3 x 4/5=

8/15

400

4 divided by 2/5=

10 

500

3/4 divided by 7/8= 

24/28= 6/7

Decimals

100

12.32+27.99=

40.31

200

37.42+2.009=

39.429

300

45.09-11.008=

34.082

400

15.23x7.2=

109.656

500

55.12/4=

13.78

Ratios

100

Are these rations equivalent?

5:4 and 20:16

Yes 

200

Are these ratios equivalent?

12:5 and 36:25

No

300

Your ratio of savings to expenses is 1:6. If you save $250, what are your expenses? Solve using a tape diagram. 

$1,500

400

There are 5 boys for every 3 girls at an event. If there are 36 girls at the event, how many boys are there? 

60

500

A parking lot has a ratio of 17:3 full parking spaces to empty parking spaces. If there are 500 total parking spaces in the lot, how many spaces are full? 

425

Exponents

100

Write the product as a power 

20x20x20x20x20

20⁵

200

Write the product as power 

9x9x9

9³

300

Find the value:

7³

7x7x7= 343

400

Find the value:

3⁴

3x3x3x3= 81

500

Find the value:

4⁴

4x4x4x4= 256