Volume,Area,Circumference
IQR,MAD,ECT.
Discounts,Tax,Gratuity
Random
Two Step Equations and Inequalities
100

A rectangular prism has a length of 6 cm, width of 4 cm, and height of 3 cm.
What is the volume?

72 cm³

100

Find the mean and median of the following data set:

4, 6, 8, 10, 12, 14, 16, 18, 20, 22

Final Answer: 13 for both

100

A shirt costs $20. Sales tax is 5%.
How much is the tax only?

1. Tax only

20 × 0.05 = $1.00

100

A bag has 20 marbles.
8 are red, 6 are blue, and 6 are green.

What is the probability of picking a red marble?

8 out of 20 = 8/20 = 2/5

100

5x−7=18

x=5

200

A circle has a radius of 5 cm.
What is the area? (Use 3.14)

78.5 cm²
(3.14 × 5² = 3.14 × 25)

200

Find the interquartile range (IQR) of the following data set:

2, 4, 6, 8, 10, 12, 14, 16

IQR = 8

200


A restaurant bill is $45. You leave a 20% tip.
How much is the tip only?

2. Tip only

45 × 0.20 = $9.00

200

A fair die, 1-6 is rolled. What is the probability of rolling a 2 or a 5? 

1/3

200

x/4+20=32

x=48

300

A circle has a radius of 6 cm.
What is the circumference in terms of π?

12π cm

300

Find the MAD of the following data set:

5, 7, 8, 10, 12, 14, 15, 17

Step 1: Find the mean
Sum: 5 + 7 + 8 + 10 + 12 + 14 + 15 + 17 = 88
Mean = 88 ÷ 8 = 11

Step 2: Find absolute deviations from the mean

  • |5 − 11| = 6
  • |7 − 11| = 4
  • |8 − 11| = 3
  • |10 − 11| = 1
  • |12 − 11| = 1
  • |14 − 11| = 3
  • |15 − 11| = 4
  • |17 − 11| = 6

Step 3: Find the average of the deviations
Sum = 6 + 4 + 3 + 1 + 1 + 3 + 4 + 6 = 28

MAD = 28 ÷ 8 = 3.5

300


A pair of shoes costs $60. Sales tax is 10%.
What is the final price including tax?

3. Final price with tax

60 × 0.10 = 6
60 + 6 = $66

300

Prime Factorization of 225?

225 = 3² × 5²

300

(x/-3)-8≥10 

x≤−54

400

A cylinder has a diameter of 6 cm and a height of 10 cm.
What is the volume? (Use 3.14)

282.6 cm³

400

Find the interquartile range (IQR) of the following data set:

3, 5, 7, 8, 10, 12, 13, 15, 18

 IQR = 8

400

A store buys a hoodie for $25 and marks it up 40%.
What is the sale price?

4. Markup + sale price

25 × 0.40 = 10
25 + 10 = $35

400


A toy bin holds blocks of different colors.

  • There are 4 red blocks.
  • There are 3 yellow blocks.
  • There are 5 blue blocks.

A child randomly takes one block, notes the color, and returns it to the bin. This process is repeated 36 times. How many times can the child expect to randomly grab a blue block?




15

400

x/5+7≥19 

x≥60

500

The volume of a cylinder is 200π cm³.
The radius is 5 cm.

What is the height?

Height = 8 cm

500

FIND THE MAD (Mean Absolute Deviation) -

3, 5, 7, 8, 10, 12, 13, 15, 18

✅ Step 1: Find the mean

Add all numbers:
3 + 5 + 7 + 8 + 10 + 12 + 13 + 15 + 18 = 91

Mean = 91 ÷ 9 = 10.11 (rounded to hundredths)

✅ Step 2: Find absolute deviations from the mean

ValueDistance from 10.1137.1155.1173.1182.11100.11121.89132.89154.89187.89

✅ Step 3: Find the average of those distances

Add them:
7.11 + 5.11 + 3.11 + 2.11 + 0.11 + 1.89 + 2.89 + 4.89 + 7.89 = 35.11

MAD = 35.11 ÷ 9 = 3.90 (rounded)

🎯 Final Answer: MAD ≈ 3.90

500

A meal costs $32.
Sales tax is 8%, and you leave a 15% tip based on the original price (before tax). 

What is the total cost you pay?

Step 1: Tax
32 × 0.08 = 2.56

Step 2: Tip (before tax)
32 × 0.15 = 4.80

Step 3: Total
32 + 2.56 + 4.80 = $39.36

500

A video game cost $40 last year. This year it costs $50.
What is the percent change?

25% increase

500

2/3x-5<7 

x<18

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