The Number System

6.NS.A.1

100

7/8 ÷ 3/4=

7/6

200

2 and 1/2  ÷  3/4 = ?

10/3

300

A recipe requires 3/4cup of sugar. If you are making 2/3 of the recipe, how much sugar do you need?

1/2

400

A truck uses 7/8 of a tank of fuel every 4 hours. How much fuel does the truck use per hour?

7/32

500

A baker uses 5/6 of a bag of flour to make cookies. If each batch of cookies requires 1/2 of the bag of flour, how many batches of cookies can the baker make?

5/3

6.NS.B.3

100

153.7–29.85=

123.85

200

6.4×3.2=

20.48

300

0.07×0.6=

0.042

400

A 12.5-foot board is cut into 5 equal pieces. How long is each piece?

12.5÷5=2.5

500

Liam runs 2.4 miles every day. How far does he run in 6 days?

2.4×6=14.4 miles

6.NS.B.4

100

Find the Greatest Common Factor (GCF) of:

24 and 36

12

200

Find the Least Common Multiple (LCM) of:

6 and 8

24

300

Use the distributive property to express the sum:

16+20=

(Hint: Factor out the GCF)

16+20=4(4+5)

400

Two runners start jogging around a track. One takes 6 minutes per lap, the other takes 9 minutes. When will they next be at the starting point together?

LCM of 6 and 9 = 18 minutes

• They will both be at the starting point together after 18 minutes.

500

A school is putting 36 pencils and 24 erasers into identical kits. What is the greatest number of kits they can make if each kit must have the same number of each item and no leftovers?

GCF of 36 and 24 = 12 kits

• Each kit will have 3 pencils and 2 erasers.

6.NS.C.7

100

Compare:
−7__−4

<

200

What is the absolute value of the following numbers?

a) ∣−6∣=
b) ∣3.2∣=

a) 6
b) 3.2

300

Order the following numbers from least to greatest:

−4, 1/2, −1.5, 0, 3

−4,−1.5, 0, 1/2,3

400

Which number has the greater absolute value?

–2.3 or –3.1

-3.1

500

A submarine is at –150 feet below sea level. A ship is at +25 feet above sea level.

• Which is farther from sea level?

• What is the absolute value of the submarine’s position?

• Submarine is farther from sea level (150 > 25)

• Absolute value of –150 = 150

6.NS.C.8

100

In which quadrant is the point (4, –2)?

Quadrant 4

200

Which point lies in Quadrant II?
a) (5, 4)
b) (4, –2)
c) (–1, –3)
d) (–3, 2)

D

300

Is the point (0, –5) in a quadrant? Why or why not?

No, it lies on the y-axis.

400

What is the reflection of the point (3, –4) across the x-axis?

(3, 4)

500

A robot starts at the origin (0, 0). It moves to the following locations:

• First to (3, 5)

• Then to (3, –2)

• Then to (–4, –2)

• Finally to (–4, 5)

• What shape does the robot’s path make when connected?
  
  
  
  

Rectangle