Maths practice for 13 year olds - page 339 of 360
Number of problems found: 7197
- Pedestrian
A pedestrian came started at 8h in the morning with a speed of 4.4 km/h. At half-past eleven, the cyclist started at 26 km/h the same way. How many minutes take for the cyclist to catch up pedestrian? - Parquet floor
Three workers laid the parquet floor for 2.301 hour. The first would do this work alone 7 hours, the second in 6 hours. For how many hours would fulfill this work for the third worker if he worked alone? - Inflow - outflow
The tank will fill by inflow for 56 minutes and empties by outflow for 77 minutes. How long does it take to fill the tank if it is also opened to the inflow and outflow? - Painters
The first painter painted the fence himself for 4 hours, the second painter 1.2 hours sooner than the first, and the third painter slowest up to 16 hours. How long took them to paint the fence if they worked together?
- OPT
What is the perimeter of a right triangle with the legs 14 cm and 21 cm long? - Elevation
What must be an observer's elevation so that he may see an object on the Earth 536 km away? Assume the Earth to be a smooth sphere with a radius 6378.1 km. - Horizon
The top of a lighthouse is 19 m above the sea. How far away is an object just "on the horizon"? [Assume the Earth is a sphere of radius 6378.1 km.] - Air
The room is 35.6 m long, 19.6 dm wide, and 591 cm high. How many people can simultaneously be in this room if, for hygiene reasons, is calculated 5000 dm³ of air per person? - Roller
Roller has a diameter of 1.61 m and a width of 236 cm. How many m² of road level when he turns 40-times?
- 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 1995 caused 8780 women, which is 8.4%. 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 7:8:7. Determine the size of the angles of the triangle ΔABC.
- Center of the cube
The Center of the cube has a distance 16 cm from each vertex. Calculate the volume V and surface area S of the cube. - Lie/do not lie
The rule f(x) = 8x+16 gives the function. Find whether point D[-1; 8] lies on this function. Solve graphically or numerically and give reasons for your answer. - Simple interest
Peter put into bank $x euros deposit. After $n years on account, overall was $y 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 is Euro VAT paid on the purchase? c) How much percent of the total price of the goods is VAT? VAT = value added tax. - Coffee
The coffee from the machine costs 28 cents per cup. Coffee is 20 cents more expensive than the cup. How much is the cup?
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