# Examples for 7th grade (seventh)

1. Dort The cube-shaped cube box has the dimensions of 30 cm × 30 cm × 12 cm. How many CZK (Czech crowns) would cost be the biggest cake that would fit into the box when a 10 cm³ cake costs CZK 0.5? The cake has the same shape as the box.
2. Watching TV One evening 2/3 students watch TV. Of those students, 3/8 watched a reality show. Of the students that watched the show, 1/4 of them recorded it. What fraction of the students watched and recorded reality tv.
3. Clubhouse There were only chairs and table in the clubhouse. Each chair had four legs, and the table was triple. Scouts came to the clubhouse. Everyone sat on their chair, two chairs were left unoccupied, and the number of legs in the room was 101. How many chairs
4. The quotient The quotient of g and 55 is the same as 279. What is g?
5. Two thirds Find two-thirds of the number equal to two-thirds of 99
6. The publisher The publisher prepares the release of the dictionary. Print preparation costs no matter the number of printed copies of 150000 CZK. The printer charges 80 CZK for one print. A) What are the costs of one dictionary if 5000 copies printed? B) For what num
7. MO Z8–I–6 2018 In the KLMN trapeze, KL has a 40 cm base and an MN of 16 cm. Point P lies on the KL line so that the NP segment divides the trapezoid into two parts with the same area. Find the length of the KP line.
8. Tickets On Monday, 33 tickets were sold. Every next day, twice as many as the previous day. How many tickets were sold on Friday and how many totally from Monday to Friday?
9. Cage How many m2 of mesh farmer use for fencing of a cuboid cage with dimensions 25m, 18m, and 2.5m?
10. Composite ratio Jakub, Aneta, and Lenka divided 1342 USD in the ratio 5/2: 3/10: 1/4. How much did Lenka take?
11. Temperature 5 Temperature outside starts at 0 Fahrenheit. Over time the temperature changes at a rate of -0.6 Fahrenheit per hour. How long will it take for the temperature to reach -4.5 Fahrenheit?
12. Children's pool Children's pool at the swimming pool is 10m long, 5m wide and 50cm deep. Calculate: (a) how many m2 of tiles are needed for lining the perimeter walls of the pool? (b) how many hectoliters of water will fit into the pool?
13. Supplementary angles One of the supplementary angles is larger by 33° than the second one. Calculate the angles size.
14. Edges or sides Calculate the cube volume, if the sum of the lengths of all sides is 276 cm.
15. Perimeter of square The square has a circumference 17cm. What is its area?
16. Phone plan Victoria's cell phone plan costs \$30.00 a month. If she used 12.5 hours in May, how much did Victoria pay per minute?
17. Given Given 2x =0.125 find the value of x
18. Evaluate expression 2 Evaluate expression with negatives: (-3)+4+(-8)+(-6)+4+(-1)
19. Workers 9 If two workers fix two windows in an hour how many windows can 18 workers fix in the same two windows?
20. Temperature conversion The normal human body temperature is 98.6 degrees Fahrenheit. What is the temperature in degrees Celcius?

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