Math practice for 13 year olds - page 246 of 415

Number of problems found: 8281

Hikers Meeting Time Route
A tourist would cover the route from Skalnate Pleso to Hrebienok at a constant speed in 2 hours. His friend would walk the same route from Hrebienk to Skalnaté Pleso in 3 hours. When will they meet if they both go hiking at 9:00?
Cube Volume from Surface
The surface of the cube is 61.44 cm². Calculate its volume.
Verticall growth
The storm broke the vertically growing spruce at 8 meters above the ground. The top fell to the bottom 6 meters from the spruce base. Find the original height of the spruce.
Clock Hands Angle Ten
The hour and minute hands on the clock face make an alpha angle. If you know it's 10 hours and 12 minutes, what is the angle's size?
Construction of the road
Six trucks are supposed to be transported for 18 days to construct the road dam. After three days, the transport company sent two more cars to the construction site. How long will it take to carry the material?
Solve Linear Equation
Solve the equation with the unknown a: 3 (2a + 1) = (a-3) • 4-5
Greg and Bill
Greg is 18 years old. He is six, less than four times Bill's age. How old is Bill?
Sum of dividend
Suppose X is divided separately into 2.63 and 1.40. The results of the individual divisions are added to give a result less than X. What is X?
Peter and Paul
Peter and Paul together have 26 years. Four years ago, Paul was twice older than Peter. How much is Paul and how much is Peter?
Middle number puzzle
In the middle between the unknown number and the number 166 is the number a) 164, b) 200, c) 500 d) 1356 What are the unknown numbers?
Number expression comparison
Which number is 2a-b smaller than a + 2b?
Tree Height Shadow Length
A man 1.65 m tall casts a shadow of 1.25 m. How tall is the tree whose shadow is in debt 2.58 m?
Rod cutting lengths
We want to cut a 90 cm long rod into two parts so that the longer part of the rod is 2 cm shorter than three times the shorter part. Determine the lengths of both parts of the rod.
Tickets
One thousand two hundred sixty tickets sold. On the first day, 80% was sold, and on the second day, it was sold. How many tickets were sold first, and how much the next day?
An angle
An angle x is opposite side AB which is 10, and side AC is 15, which is the hypotenuse side in triangle ABC. Calculate angle x.
Tower Sheet Metal Coverage
The tower has the shape of a regular four-sided pyramid with a base edge of 0.8 m. The height of the tower is 1.2 meters. How many square meters of sheet metal is needed for coverage if we count eight percent for joints and overlap?
Family age calculation
Dad is r years old, and Mom is two years younger. The son is 20 years younger than the father. How old are they?
Iron ball
The iron ball weighs 100 kilograms. Calculate the volume, radius, and surface if the iron's density is h = 7.6 g/cm³.
Half-sphere roof
The roof above the castle tower has the shape of a 16 m diameter half-sphere. What is this roof's cost if the cost of 1 square meter is 12 euros and 40 cents?
Hemisphere of ice-cream
The ice cream maker sold 6l of ice cream a day. How many hemisphere-shaped portions with a diameter of 6 cm could he make from the ice cream sold?

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