Numbers & Operations
As a person climbs a mountain, the temperature drops 4°F for every thousand feet.
What integer represents the change in temperature for every thousand feet a person climbs?
-4
Write an expression for the operation described below.
multiply p by 10
10 x p = 10 ⋅ p = 10p
Which fraction is less?
1/9 or 8/9
1/9
An envelope is 8 inches wide and 6 inches tall. What is its area?
(HINT: A = L ⋅ W)
8 in ⋅ 6 in = 48 in2 (square inches)
What is the mode?
5, 8, 8, 5, 2, 2, 5
What is the opposite of -16?
16
The chef peeled p potatoes before lunch and another 20 potatoes after lunch. Choose the expression that shows the number of potatoes the chef peeled in all.
a) p - 20
b) p + 20
c) 20 - p
d) p
Bridget is cleaning the window in her room so she can see the stars at night. The window has 8 equal-sized panes. Bridget cleans 4 of the panes with soapy water.
What fraction of the window panes does Bridget clean with soapy water?
4/8 = 1/2
Sandeep has a round tablecloth with a diameter of 2 meters. What is the tablecloth's radius?
(HINT: r = d ÷ 2)
2 meters ÷ 2 = 1 meter
For his biology lab, Victor recorded the lengths of 5 earthworms:
7 centimeters, 9 centimeters, 5 centimeters, 8 centimeters, 5 centimeters
What is the range of the lengths of earthworms that Victor recorded?
4 centimeters
Is -47 + 35 positive or negative?
negative
Simplify the expression:
10 x (3 + 2)
(HINT: Multiply using the distributive property)
50
During a fundraiser, Ken made phone calls and got a voicemail message on 1/2 of his phone calls. Maya got a voicemail message on 1/3 of her phone calls.
Who got a greater fraction of voicemail messages?
Ken
Zoe made an apple pie in a pie tin with a radius of 3 inches. What is the pie tin's area?
Use 3.14 for 𝜋. If necessary, round your answer to the nearest hundred.
(HINT: A = 𝜋r2)
A = 𝜋 ⋅ 32 = 28.26 in2 (square inches)
Kiera weighed 6 blocks of unknown materials for a science experiment. The blocks weighed:
3 ounces, 2 ounces, 3 ounces, 3 ounces, 7 ounces, 5 ounces
What was the mode of the weights of blocks?
3 ounces
Multiply:
3 ⋅ -2 =
-6
Solve for s.
s - 2 = 6
s = 8
What fraction is equivalent to 2/6?
a) 6/9
b) 1/3
c) 1/2
d) 3/5
1/3
As part of a service project, Cody's scout troop picked up trash at a local park. They filled a small dumpster with the trash they picked up. The dumpster was shaped like a rectangular prism that was 7 feet long, 5 feet wide, and 5.5 feet tall.
What is the dumpster's volume?
(HINT: V = L ⋅ W ⋅ H)
7 ⋅ 5 ⋅ 5.5 = 192.5 cubic feet
Lee started doing sit-ups to prepare for the school fitness test. On 7 days he did:
6 sit-ups, 7 sit-ups, 8 sit-ups, 6 sit-ups, 7 sit-ups, 5 sit-ups, 6 sit-ups
What was the median number of sit-ups he did?
6 sit-ups
What is 9.2 rounded to the nearest whole number?
9
What inequality does this number line show?
x > 2
When Eliana had one cat, she needed to serve 5/12 of a can of cat food each day. Now that Eliana has adopted a second cat, she needs to serve a total of 7/12 of a can each day.
How much extra food is needed to feed the second cat?
7/12 - 5/12 = 2/12 = 1/6
A triangle has a base of 9 centimeters and a height of 8 centimeters. What is the area?
(HINT: A = 1/2 ⋅ b ⋅ h)
1/2 ⋅ 9 ⋅ 8 = 36 cm2 (square centimeters)
Sally's soccer team played 5 games. They scored:
8 goals, 7 goals, 7 goals, 6 goals, 2 goals
What was the mean number of goals Sally's team scored?
6 goals