What's That Rate?
(Rates, Unit Rates, Proportions)
Fractions Decimals & Percents Oh My!
Measure that Figure!
(Area and Perimeter)
Everything Fractions!
(We mean EVERYTHING)
"Integer?
I hardly know her!"
The Price is Right!
Or is it?
Everything But The Kitchen Sink
(miscellaneous)
100

The height of a ladder is 15m. What is the height of a diagram of the ladder if the scale is 1:20?

0.75 m or 75cm

Diagram Height = Real Life Height /Scale Factor

100

Convert 0.45 to a fraction in simplest form.

9/20

100

What are the formulas for Area of the following shapes: Triangle, Trapezoid, & Parallelogram.

 (bh)/2, ((b^1 +b^2) h) /2 , bh

100

This fraction is equivalent to  3/4 when both numerator and denominator are divisible by 2.

What is 

6/8

100

(−15)÷3=?

Answer: -5

100

A jacket originally costs $80. It is on sale for 25% off. This is the sale price of the jacket.

What is $60?

The discount is 0.25×80=200.25×80=20 dollars.  20-80=60 dollars

100

When I am reflecting on the vertical axis which line becomes my mirror line?

The y axis. 

200

If 3 bags of chips cost $6, how much would 5 bags of chips cost?

$10

200

What is 37.5% as a fraction in simplest form?

What is  3/8

( 37.5% = 37.5/100=375/1000=3/8 )

200

How do you calculate perimeter of the following: circle, semi-circle, triangle and rectangle. 

Circle: C=2πr | Semi Circle: C=πr+d | Triangle: S1+S2+S| Rectangle :  (l+w)2 

200

 2/5 + 3/10  − 1/2  

4/10+3/10−5/10

=7/10−5/10

=2/10

=1/5



200

If an unknown integer is added to -6, the result is 9. What is the missing integer?

The missing integer is 15.

200

A travel agent earns a 7% commission on each vacation package sold. If they sell a vacation package for $5000, this is the amount of commission they earn.

What is $350? 

(Commission is calculated as a percentage of the sale price, so 0.07×5000=350.)

200

A point (3,4) is translated 5 units to the right and 2 units down. Then, another point (7,−1) is translated 3 units to the left and 6 units up. What are the coordinates of the translated points?

What are (8,2) and (4,5)?

300

A package of 24 pencils costs $3. What is the cost per pencil?

$0.125 per pencil.

300

7/9

as a percent (rounded to nearest hundredth)

What is 77.78%? ( 7/9≈0.7778×100=77.78% )

300

A right triangle has an area of 30 square meters. The base of the triangle is 10 meters. This is the length of the missing height.  

What is 6 meters?

30=21×10×h Solve for h

300

 1 2/3−3/4+2 1/2 

1 2/3=5/3, 2 1/2=5/2

5/3=20/12,3/4=9/12,5/2=30/12

20/12 - 9/12 + 30/12

3 5/12



300

6×(−4)=?

6×(−4)=−24

300

A bicycle is on sale for $180, which is 20% off its original price. This is the original price of the bicycle.

What is $225?

 (To find the original price, divide the sale price by 100%-20% = 80%−>discount percentage, so 180 divided by 8 = 22.5 x 10= $225.)

300

A triangle with vertices at (2,3), (4,5), and (6,1) is reflected over the y-axis. What are the coordinates of the reflected vertices?

What are (−2,3), (−4,5), and (−6,1)?

400

If 5 shirts cost $75, how much would 15 shirts cost?

$225.00

400

A recipe calls for 0.6 liters of milk. If you only have a measuring cup marked in fractions of a liter, what fraction is equivalent to 0.6 liters?

What is  3/5 

400

This is the perimeter of a composite shape made by combining a rectangle with length 8 cm and width 4 cm, and a semicircle with diameter 4 cm attached to one of the shorter sides of the rectangle.

What is 26.28cm?

400

First, divide  3/4  by  2/5  . Then, take the result and divide it by  1/2 . What is the final result?

What is  3 3/4 ? (First,  3/4 div 2/5 = 3/4 x 5/2 = 15/8 -> 15/8 div 1/2 = 15/8 ( 2/1) = 30/8->15/4-> 3 3/4 )

400

-8+3×2=?

-8+3×2

=-8+6

=-2

400

A real estate agent earns a 3% commission on the sale of a house. If the house sells for $300,000, this is the amount of commission the agent earns.

What is $9000?

Commission is calculated as a percentage of the sale price, so 0.03×300000=9000.

400

A pack of 15 highlighters costs $6. What is the cost per highlighter?

$0.40 per highlighter

500

If 6 books cost $48, how much would 12 books cost?

$96

500

Convert

5/6

to a decimal and a percent.

What are 0.833 and 83.33%?

500

This is the area of a composite shape made by combining a rectangle with length 10 cm and width 5 cm, and a right triangle with a base of 5 cm and a height of 4 cm attached to one of the longer sides of the rectangle.

What is 65cm2?

500

(3/4 + 1/2)× 2/3

5/6

500

(5+3)×(22−1)=?

=8×(4−1)

=8×3

=24

500

You loan $300 to a family member with an annual interest rate of 10%. After 5 years, this is the total amount they have to repay you.

What is $450?

Simple interest is calculated as: Principal×Rate×Time. So, 300×0.10×5=150, and 300+150=450.  

500

You invest $500 in a stock. After one year, the stock's value increases by 20%. In the second year, the stock's value decreases by 15%. What is the final value of the stock after the two years?

What is $510? 

(First, calculate the increase in the first year: 500×1.20=600. Then, calculate the decrease in the second year: 600×0.85=510. So, the final value of the stock is $510.)

600

A delivery truck can carry 300 boxes and completes a delivery route in 6 hours. If the truck travels at a constant speed and delivers 75% of its capacity in 4 hours, how many boxes does it deliver in that time? What is the truck's speed in boxes per hour? What is the unit cost of delivery per box?

The truck delivers 75×300=225 boxes in 4 hours. Its speed is 225/4=56.25 boxes per hour. The unit cost of delivery per box is 𝑡𝑜𝑡𝑎𝑙 𝑐𝑜𝑠𝑡 div 𝑡𝑜𝑡𝑎𝑙 𝑏𝑜𝑥𝑒𝑠=𝑐𝑜𝑠𝑡 𝑝𝑒𝑟 ℎ𝑜𝑢𝑟 div 𝑏𝑜𝑥𝑒𝑠 𝑝𝑒𝑟 ℎ𝑜𝑢𝑟=156.25

600

If 80% of a number is 56, what is the number? Provide your answer as a decimal.

600

Find the area of the shaded region.

A= 67.4

600

(2 1/4 - 1/2) × (3/4 + 2/3)

119/48 = 2 23/48

600

(+2)3×(32−4)+(22+1)

8×(9−4)+(4+1)

=8×5+5

=40+5

=45

600

You're purchasing a camera that is originally priced at $600. The store is offering a 25% discount on the camera, and there's a 7% sales tax applied to the discounted price. This is the final price you pay, including tax.

What is $535.50? 

First, calculate the discounted price after the 25% discount: 600×(1−0.25)=450. Then, calculate the tax on the discounted price: 450×0.07=31.50. Finally, add the tax to the discounted price to get the final price: 450+31.50=481.50.)

600

Consider the following set of numbers: 3, 7, 7, 2, 10, 3, 7. What are the mean, median, and mode of this set? 

(Note: Round to the nearest hundredth if necessary)

Mean 5.57, Median 7, and Mode 7?

 

600

A bakery uses 5 bags of flour to make 120 loaves of bread. If each bag costs $20, how much does it cost to make one loaf of bread? If the bakery produces 200 loaves in a day, how many bags of flour does it use? What is the bakery's production rate in loaves per day?

600

Convert 2/3 as a decimal and a percent.

66.overline6% 

0.overline6

600

A rectangle has a length of 12 cm and a width of 8 cm. Inside the rectangle, there are two identical semicircles with a diameter equal to the width of the rectangle. The semicircles are shaded. Find the area of the unshaded part of the composite figure.

 

600

( 2/3 ) ^2 +( 3/4 − 1/8 )÷ 1/2

First Calculate the exponent  (2/3)^2 = 4/9 next, the brackets, we find a common denominator and subtract  3/4=6/8  therefore 6/8-1/8=5/8 following that we divide  5/8 div 1/2->5/8 (2/1)=10/8-->5/4 . Finally you're left to add 4/9 +5/4 make sure you find a common denominator:  9/4->16/36, 5/4->45/36 Add: 

600

(23×-3)−(42+1)=?

=(8×-3)−(16+1)

=-24−17

=-34

600

You're purchasing a car from a dealership for $20,000. The salesperson earns a 3% commission on the sale. You decide to finance the car with a 5-year loan at an annual interest rate of 4%. Additionally, there's a 9% sales tax applied to the purchase price. This is the total amount you'll pay, including tax, interest, and commission.

What is $26,760? 

First, calculate the commission earned by the salesperson: 0.03×20000=600.

Then, calculate the amount financed (purchase price + tax): 20,000+(0.09×20000)=21,800

Next, calculate the total amount to be repaid over 5 years with interest:

21800×(1+(0.04×5))=21,800×(1+0.20)=26,160

Finally, add the commission to get the total amount: 26,160+600=26,760.

So, the total amount you'll pay, including tax, interest, and commission, is $26,760.

 

600

Find the Area of the shaded region.

17.72 ft2

A=lw->6x4=24 A= (pir^2)/2-> (3.14(2)^2)/2 = (3.14(4))/2 = 12.56/2=6.28

->6.28-24=17.72