(Math game)

NTH TERM

100

8,11,14,(find the next three term and what is the nth rule)

*3+5     ( 15,20,23)

200

-1,0,1,2(find next two term with the nth rule)

(3,4)nth rule=n-5+3

300

2, 6, 14, 30, 62, 126, find nth rule next term.

answer=130

400

3, 12, 27, 48, 75(find the nth rule next term)

answer = 108

500

4, 11, 30, 67(find the nth rule next term)

answer=128

RATIO

100

A recipe for making juice requires 2 cups of orange juice and 5 cups of water. 

Question:
If you want to make a larger batch using 10 cups of orange juice, how many cups of water do you need to keep the same ratio?

So, you need 25 cups of water ✅.

200

A school has students in the ratio of 3:4:5 for grades A, B, and C, respectively.

Question:
If there are 72 students in grade B, how many students are there in total in the school?

the total number of students in the school is 216

300

A group of people are traveling in cars. The number of people in each car is in the ratio of 2:3:4 for cars of types A, B, and C, respectively. If there are a total of 180 people in the cars of type B, how many people are there in total across all cars?

The total number of people in all cars is 540

400

A company sells three types of products, A, B, and C. The number of products sold is in the ratio 5:7:9 for products A, B, and C, respectively.

After a sale, the company finds that the total revenue from products A and B combined is $96,000, and the total revenue from product C is $72,000.

Question:
What is the total revenue generated from all the products sold?

The total revenue generated from all the products sold is $168,000

500

A factory produces three types of gadgets, Type X, Type Y, and Type Z, and the production ratio of the gadgets is 3:4:5 respectively. However, the factory has different production costs for each type of gadget:

• The cost to produce one unit of Type X is $25.
• The cost to produce one unit of Type Y is $30.
• The cost to produce one unit of Type Z is $35.

After a major sale, the factory sold a total of 2,520 units. The total revenue generated from selling all the units was $120,000.

Question:
What is the total profit the factory made after the sale?

The total profit made by the factory after the sale is $42,300.

percentages

100

A store is selling a shirt that originally costs $50. The store is offering a 20% discount on the shirt.

What is the price of the shirt after the discount?

answer=40

200

Question:
A laptop originally costs $800. During a sale, the price is reduced by 25%, and then there is an additional 10% off the sale price.

What is the final price of the laptop after both discounts?

The final price of the laptop after both discounts is $540

300

Question:
A store originally sells a television for $1,200. The store offers a 30% discount during a holiday sale. After the sale, the price is further reduced by an additional 15% as part of a clearance promotion.

If a customer buys the television during the clearance promotion, what is the final price they will pay?

The final price the customer will pay for the television after both discounts is $714

400

Question:
A company buys a product for $1,500 and decides to mark it up by 40% above the purchase price. Later, the company offers a 20% discount on the marked-up price during a promotion. After the promotion, the company incurs an additional 5% charge for taxes on the discounted price.

What is the final price the customer will pay, including taxes?

The final price the customer will pay, including taxes, is $1,764.

500

Question:
A car dealership buys a car for $25,000 and decides to apply the following pricing strategy:

1. First, the dealership applies a 25% markup on the purchase price.
2. Then, after that, the dealership offers a 15% discount on the marked-up price during a sales event.
3. After the sales event, the dealership incurs an additional 5% tax on the discounted price for registration fees and other administrative costs.
4. Finally, the dealership applies a 10% commission fee to the final price, which is paid to the sales staff.

What is the final amount the customer will pay for the car, including taxes and commission?

The final amount the customer will pay for the car, including taxes and commission, is $30,679.69

`term to term rule

100

2, 4, 6, 8, 10,find next 3 terms

answer=12,14,16

200

The sequence of numbers is: 5, 11, 17, 23, 29, ...

What is the term-to-term rule for this sequence?

adding(6) 

300

The sequence of numbers is: 3, 7, 15, 31, 63, ...

What is the term-to-term rule for this sequence and next two term?

answer sequence(*2+1) next two =(127,255)

400

The sequence of numbers is: 2, 6, 24, 120, 720, 

What is the term-to-term rule for this sequence?

answer=: Multiply the previous term by an increasing integer (starting from 3). 

500

Question:
The sequence of numbers is: 1, 8, 27, 64, 125, 216, ...

What is the term-to-term rule for this sequence?

The term-to-term rule is: Cube the position number.