Maths practice for 14 year olds - page 223 of 362

Number of problems found: 7230

Ladder
Adam placed the ladder of the house, the upper end reaching the window at the height of 3.6 m, and the lower end standing on level ground and distant from a wall of 1.5 m. What is the length of the ladder?
Rectangular garden
The sides of the rectangular garden are in a ratio of 1:2. The diagonal has a length of 20 meters. Calculate the area and perimeter of the garden.
A man 2
A man divides $10,000 into two investments, one at 10% and one at 30%. Find the amount invested at each rate so that the two investments produce the same income annually.
Average Speed Walk Hill
The tourist walked on the plain for 2 hours at a speed of 6 km/h. For another hour, he climbed a steep hill at a speed of 3 km/h. What was his average speed?
Father Son Age Now
Now a father is five times as old as a son. In 2 years, the father will be four times as old as the son. How old is Dad, and how many is Son now?
Right isosceles triangle
The right isosceles triangle has an altitude x drawn from the right angle to the hypotenuse, dividing it into two equal segments. One segment is 5 cm long. What is the area of the triangle?
Right 24
The right isosceles triangle has an altitude x drawn from the right angle to the hypotenuse, dividing it into two unequal segments. One segment is 5 cm long. What is the area of the triangle? Thank you.
Ice Rink Water Volume
The rectangular rink with dimensions of 50 m and 25 m should be covered with a layer of ice 4 cm high. How many liters of water are needed to make ice if the ice volume is 10% greater than the volume of water?
The garden
The garden has the shape of a rectangular trapezium. The bases have lengths of 27 meters and 36 meters, and the trapezoid's height is 12 meters. Calculate how much a fence will cost this garden if one meter costs 1.5 €.
Fraction multiplication puzzle
Which fraction number must be multiplied by 40 to get a 6% smaller number?
Cinema women percentage
There are 1.5 times more women in the cinema than men. What percentage of women are in the cinema?
Mother Daughter Age Puzzle
If Nina were nine times older and her mother was nine times younger, they would be 85 years old. So, Ninka is 85, and Mom is 85.
Money Sharing Three People
If Peter had 700 CZK more, he would have the same as George. Zdenek has a third of what Peter precisely. Together, they have 7000 CZK. How much does everyone have?
Balls Count Three Boys
Philip had two more balls than Jarda, and Milos had twice as many as Philip. They had a total of 33 balls. How much did everyone have?
Hydraulic system force
The hydraulic system has: S1 = 0.02 m² S2 = 2 m² F1 =? F2 = 40000 N What force must we exert to get a force of 40,000 N?
The mast
We see the top of the pole at an angle of 45°. If we approach the pole by 10 m, we see the top of the pole at an angle of 60°. What is the height of the pole?
Bike price percentage
Mom donated 120 € to Jožek per bike, which was 60% of the bike's price. How much did the bike cost?
Loss
A bookstore purchased the biography of a well-known politician from a publisher for R15 per copy, but sales have been very poor. The manager has decided to mark the copies down to R12 each to make a quick sale. Calculate the loss on each book as a percent
They exceeded
Mines A and B were supposed to extract 20,000 tonnes of coal together. However, they exceeded their joint plan and extracted 133 tonnes more in total. Mine A exceeded its plan by 2 percent, while mine B extracted 1 percent less than its plan. How many ton
Stamps collection
Together, Peter and Jan had 52,000 stamps in their collection. To compete with their friend, they must have 56700 stamps. They agreed that Peter would increase his collection by 8 percent and Jan would give 10 percent more than he has. How many stamps did

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