# Examples for 9th grade

1. Sugars
In what ratio must two sorts of sugar, costing #390 and #315 per kg respectively, be mixed in order to produce a mixture worth #369 per kg?
2. Quarter circle
What is the radius of a circle inscribed in the quarter circle with a radius of 100 cm?
3. Summer tires
Three tire servants have to change the summer tires on 6 cars in 2 hours. Mark's replacement would take 4.5 hours, Jirka would do it in 3 hours and 10 minutes, and Honza in 4 hours. Will they be able to replace all tires at the desired time?
4. Circle annulus
There are 2 concentric circles in the figure. Chord of larger circle 10 cm long is tangent to the smaller circle. What are does annulus have?
5. Bricklayer
How much do we pay for a bricklayer laying a pavement in a square room with a diagonal of 8 m, if 1 sqm with work will cost for CZK 420?
6. Inverted nine
In the hotel,, Inverted nine" each hotel room number is divisible by 6. How many rooms we can count with three-digit number registered by digits 1,8,7,4,9?
7. Sales tax
A sales tax on a Php 10,800 appliance is Php.1,620. What is the rate of sales tax?
8. School yearbook
Bianca sold Php.18,500 worth of advertisements for the school yearbook. If she is given a commision of 8%, how much did she earn for the advertisements?
9. Commission 2
Mr gomez sells used cellphones. His commission for every cellphone sold is 20%. If his total sales is Php 33850, how much is his commission? Please, please, please show your solution.
10. Real estate 2
A real estate agent sold a lot for Php.550,000. If his agency pays at 10% commission, how much commission will he or she receive?
11. Monica
Monica left Php.900 to Bianca. When monica asked for it after 6 months, Bianca decided to give Php.945 instead because she was able to use the money. What interest rate on Monica's money was used by bianca?
12. Deposit is pesos
Sally deposits Php.22,000 in her savings account. If the bank pays 1.5% interest per year, how much will she receive at the end of the year?
13. Fix + percentages
Mrs. Vargas is a car sales agent who earns Php.5,850 monthly plus a 4% commision on all her sales. During a month, she sold a car worth Php.740,000. How much is her total earnings?
14. Loan 4
Mr santos borrowed Php.18,000 at 1.5% interest for one year. What was the total amount he paid for the end of the 1-year term?
15. Mister
Mister ignacio paid Php.13693.75 for a television set that originally cost Php.15,650 . Find the rate of discount. Please show your solution please please please.
16. Shuyen
Shuyen wanted to save some money. She deposited Php.300 in a bank which pays 0.5% interest per annum. After nine months, she needed the money to buy some gifts. How much will she be able to get if he withdraws all her money from the bank?
17. Equilateral triangle ABC
In the equilateral triangle ABC, K is the center of the AB side, the L point lies on one-third of the BC side near the point C, and the point M lies in the one-third of the side of the AC side closer to the point A. Find what part of the ABC triangle cont
18. Old laptop
The sale price of an old laptop is Php.11000. If 33 1/3% discount rate is given how much is the sale price of the laptop without the discount? Plese show your solution please. Php is Philippine peso
19. Evening shift
While working the evening shift, Officer K took 8 hours to complete a task at his work station and Officer M took 10 hours to complete the same task at his work station. How many hours would it take Officer K and Officer M to complete the same task workin
20. Toys 3
Tiffany's toyshop received a shipment of 360 toys. The first day 12 were sold the second day 19 were sold and on the third day, 26 was sold. How many days will the toyshop run out of toys?

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