Numerical Reasoning
Reasoning with
Expressions,
Equations, and
Inequalities
Exploring Ratios
and Proportional
Relationships
Making
Relevant
Connections
with Geometry
Investigating
Probability
100

How is 24/27 written as a decimal rounded to the nearest tenth? 

0.9

100

-4x + 6 > 12

x < -6/4 or x < -1.5

100

What is the missing value in the following proportion? 


8/40 = 12/n



n = 60

100

If the radius of a circle is 14 inches, what is the circumference?

87.92 inches

100
What is the probability of rolling a number less than 7 on a dice?

100% or Certain

200

Amy has 3 pieces of rope that have lengths of 15.333, 20.5, and 30.75. If Amy cuts each length of rope into 3-foot pieces, how many 3-foot pieces of rope does she have? 

22 pieces

200

Which expression has the same meaning as "increase by 20%"?

A. 0.2n

B. 0.8n

C. 1.2n

D. 1.8n

C. 1.2n


100% + 20% = 120% = 1.2

200

On a map, 3 cm represents 60 km. Write an equation to represent the constant of proportionality. 

y=20x

200

Alana keeps her sweaters in a storage box under her bed. The box is 30 in. long, 18 in. wide, and 7 in. high. What is the volume of the storage box?

3, 780 cubic inches

200

Is Chandler rolled a dice 300 times, how many times can he assume that he will land on either a 2 or 3? 

100 times.

300

On a cold winter day, the low temperature was 10o. Due to the wind chill, it felt like -18o. What is the difference between the actual temperature and the wind chill temperature? 

28 degrees

300

Solve for x: 5x - 7 = 18

x = 5

300

A map scale shows 1 inch equals 50 miles. How many miles does 3 inches represent?

150 miles

300

What is the surface area of a square prism with a base that has an area of 36 cm2

216 cm2

300

Kendra has 14 items in her pencil case, including 4 pencils.

What is the probability that a randomly selected item from Kendra's pencil case will be a pencil?

78%

400

A submarine is 300 feet below sea level. It descends another 150 feet and then ascends 200 feet. What is its final position relative to sea level?

-250 feet

400

Ben has $112 in his savings account. Then deposited the same amount of money into his savings account in each of the next 4 months. Now he has $333 in his savings account. How much money, m, did Ben deposit each month?

$55.25

400
Mary drives to work every morning. The list below shows the time, in minutes, it took her to drive to work on 11 different days. What is the lower quartile of the data? 

22 minutes

400

 A cylinder has a radius of 3 cm and a height of 10 cm. Find its volume. (Use π ≈ 3.14)

282.6 cubed cm

400

Emmy is tossing bean bags at a target. She hit the target on 9 out of her last 18 tries. Considering this data, how many hits would you expect Emmy to get during her next 16 tosses?

500

If Sara makes $25 an hour gets a 10% raise, what would her new hourly rate be? 

$27.50

500

Amy is ordering magazines online. Each magazine costs $6, and shipping is an additional $4 for the entire order. If she wants to spend no more than $42, how many magazines can she order? 

6 magazines

500

To determine the town pigeon population, researchers tagged and released 27 pigeons. Later, the researchers counted 380 pigeons. Out of the pigeons they counted, 19 had tags. To the nearest whole number, what is the best estimate for the pigeon population?

540 Pigeons

500

If the measure of <1 is x and the measure of <2 is x + 50, if the angles are supplementary, what is the value of x? 

x = 65

500

Kristi and Dan are training for an upcoming swim meet. Their practice times in seconds for the 50-meter freestyle race are listed below. 

Kristi- 52, 52, 53, 54, 56, 59, 61, 61

Dan- 51, 52, 52, 53, 53, 54, 54, 55


What is the difference in the Mean Absolute Deviations? 

2.25