Maths practice for 14 year olds - page 357 of 379
Number of problems found: 7575
- Against each other
From two points, A and B distant 29 km at the same time started two cars against each other at speeds 82 km/h and 72 km/h. How long do cars meet, and what distance passes each of them? - Average
What is the average speed of the car, where half of the distance covered passed at a speed of 52 km/h and the other half at 89 km/h? - Motor physics
A car is traveling at 98 km/h on the highway. The pulling power of the motor is 6 kN. Find the engine power in kW. - Rectangle - sides
A rectangle has an area 340 cm². The length of the shorter side is 3 cm fewer than the length of the longer side. What is the perimeter of a rectangle? - 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 long does the cyclist take to catch up with the 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 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 open to inflow and outflow?
- Painters
The first painter painted the fence himself for 10 hours, the second painter 2.7 hours sooner than the first, and the third painter slowest up to 21 hours. How long took them to paint the fence if they worked together? - 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.] - 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? - Accidents
The count of accidents in 1995 caused 8780 women, which is 8.4%. How many men caused the accidents? - Statistics
The sum of all deviations from the arithmetic mean of the numerical sequence 4, 6, 51, 77, 90, 93, 95, 109, 113, 117 is: - 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 16 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.
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