Math practice for 13 year olds - page 400 of 422
Number of problems found: 8427
- Roller
Roller has a diameter of 0.89 m and a width of 225 cm. How many m² of road level when he turns 30-times? - Metallurgical enterprise
Metallurgical company daily produces 501 tons of cast iron. How many tons of coke does it burn to melt cast iron when 14 tons of cast consumes 10 tons of coke? - Square
If we increase one side of the square by its one-half, then the square perimeter increases by 10 cm. What is the side of the square? - Accidents
The count of accidents in 1991 caused 8444 women, which is 9%. How many men caused the accidents? - Map - climb
On the map of the High Tatras, on a scale of 1:11000, are cable car stations in the Tatranska Lomnica and the Skalnate Pleso with a distance of 354.6 mm. The altitude of these stations is 949 m and 1760 m. What is the average angle of climb on this cable - Bottle
Bottle with wine costs 42 USD. Wine is 11 USD more expensive than the empty bottle. How much is the bottle itself? - Circumferential angle
Vertices of the triangle ΔABC lay on the circle and are divided into arcs in the ratio 10:8:7. Determine the size of the angles of the triangle ΔABC. - Center of the cube
The Center of the cube has a distance 40 cm from each vertex. Calculate the volume V and surface area S of the cube. - Lie/do not lie
The rule f(x) = -x-10 gives the function. Find whether point C[5; -15] lies on this function. Solve graphically or numerically and give reasons for your answer. - Simple interest
Peter put into bank 853 euros deposit. After 7 years on account, overall was 984 euro. What was the interest rate if the bank added simple interest? - VAT
In the country XYZ car, Daewoo Leganza costs 3748 Euros including VAT; 3335.72 Eur without VAT. a) Determine the rate of VAT. b) How much Euro VAT is paid for the purchase? c) How much percent of the total price of the goods is VAT? VAT = value-added tax. - Balls
Three metal balls with volumes V1=12 cm3, V2=112 cm3, and V3=59 cm³ were melted into one ball. Determine its surface area. - Word problem
348 students were on holiday in Hungary. 133 bought pizza, chips 28 pupils, 25 pupils bought soda, butter 26 pupils, 15 pupils fruits, vegetables 29 students. How much pay for all the food, if every meal costs 5.3 euros? - Diplomas
Suzanne helped write out diplomas. Issuance first took 3 minutes, each next 2.3 minutes. How much time will it take to write out n=16 diplomas (including the first) at this pace? - Rectangle
Calculate the length of the side HM and diagonal EM of rectangle EHMQ when given: |QM| = 29 cm and angle ∠ EHQ = 36 degrees. - Column
The vertical pole high 7 m tall broke, and its toe fell 4.7 m from the bottom of the pole. At what height above the ground does the pole break? - Water tank
The water tank-shaped cuboid has a width of 2.3 m and a length twice as large. If water flows into 19 liters of water per second during 52 minutes, how high will it reach? - Car range
Calculate the maximum range of cars, if you can spend 5 euros, the diesel price is 1.6 Eur/l, and car consumption is 5.4 l/100 km. - Similarity coefficient
The similarity ratio of two equilateral triangles is 4.3 (i.e., 43:10). The length of the side of the smaller triangle is 7.5 cm. Calculate the perimeter and area of the larger triangle. - Cups
We have three cups. In the cups, we had fluid and boredom we started to shed. 1 We shed one-third of the fluid from the second glass into the first and third. 2 Then, we shed one-quarter cup of liquid from the first to the second and to the third. 3 Then,
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