Math practice for 13 year olds - page 244 of 428

Number of problems found: 8556

Finding Unknown Number
By reducing the unknown number by 342, you get 81% of the unknown number. Find this number.
Prize Sharing Ratio Total
Matej, Simon, and Peter shared a profit in the ratio of 3:4:5. How much did they win in total if Matej received CZK 1,520?
The treasury
Lucy has only two-crown and five-crown coins in her treasury. She has 30 coins worth 108 Czech crowns (CZK). How many two-crown and how many five-crown coins does she have?
Pyramid Height Surface Area
The regular quadrilateral pyramid has a base diagonal of 5√2 cm, and the side edges are 12√2 cm long. Calculate the height of the pyramid and its surface.
The sponsor
The school received money from the sponsor. She used one-third to buy computers and half of the rest to adjust the gym. It still has 4000 euros left. How many euros did the sponsor donate to the school?
The work
The work was to be done by 150 workers. At the beginning of their work, The company reduced their number by 40, which increased the work time by 5 and 1/3 of the schedule. How long did the work take?
The missing angle
Find the unknown angle in the triangle. Angles are: 95, 2x+15, x+3. What type of triangle is it?
Twenty percent
The students in the class agreed to make various decorative cone-shaped hats for the carnival. How much decorative material did a class of 25 students need to make the hats, if they had to count on about twenty percent waste when cutting and gluing? (The
Lumberjacks Trees Three Days
Lumberjacks cut down a predetermined number of trees over the course of three days. On the first day, they cut down a quarter of the trees; on the second day, they cut down 6 more trees than on the first day; on the third day, they cut down 6 more trees t
Trapezium diagonals
It is given trapezium ABCD with bases | AB | = 12 cm, |CD| = 8 cm. Point S is the intersection of the diagonals for which |AS| is 6 cm long. Calculate the length of the full diagonal AC.
Pool tiling
The first tiler would cover the inside of the pool in 5 working days, and the second would need seven working days for the same work. In how many days would they line the inside of the pool together?
Diameter of cent coins
In what proportion are the diameters of these coins: 10 cents-diameter 19.75mm 20 cents-diameter 22.25mm 50 cents-diameter 24.25mm
Drain Holes Reduction
I will drain the whole tub in 4 minutes. How long would it take to drain it if I added two more drain holes?
Hot Water Consumption Reduction
The survey reduced hot water consumption by a ratio of 4:5. By what percentage has household water consumption decreased?
Machine Price Without Tax
The company paid a 20% tax on the purchase of the machine in the amount of 240 €. What is the price of the machine without tax?
Four workers
Four workers lay on the gym floor for six hours. After an hour of working together, one of the workers went to the doctor. How long will it take for the remaining three workers to complete their work?
Workers Days Hop Garden
Twenty-four combers combed the hop garden in 6.5 days. How many combers would have to work on combing the hop garden in 5 days?
TV Price Changes Series
The TV cost 1000 euros. In the last three months, they first reduced the TV price by 30%, then lowered it again by 20%, and finally increased it by 50%. Was the last price the same as the original?
Two cars on ring
Two cars were on the round track (ring) in the adjacent tracks, the first on the inner track and the second on the outer track. Both cars started at the same time from one starting track. The first toy car drove four laps simultaneously, and the second to
A transmitter tower
A transmitter tower is 80 meters high and is stabilized to the ground by 4 steel cables anchored in the ground 60 meters from the base of the tower. Calculate how many meters of steel cable were needed to stabilize the transmitter tower. The steel cable u

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