Maths practice for 14 year olds - page 266 of 362
Number of problems found: 7230
- Probability - triangles
We have five lines with lengths of 3 cm, 5 cm, 7 cm, 9 cm, and 11 cm. What is the probability that we will be able to construct a triangle with randomly selected three? - Tree shadow
The shadow of the tree is 16 meters long. The shadow of a two-meter-high tourist sign beside standing is 3.2 meters long. What height is a tree (in meters)? - Square base - prism
The right prism has a square base with a side 3 cm long. The diagonal of the sidewall of the prism is u = 5 cm. Calculate its volume. - Interest rate
Charles saved SKK 12,000 in the savings bank at the beginning of the year. At the end of the year, the savings bank credited him with SKK 1,680. At what annual interest rate did Charles have the deposit in the savings bank? - Rectangular meadow
Divide the rectangular meadow with dimensions of 1280 m and 320 m into a square shepherd with the longest possible side of the square. How many square pastures did you divide the meadow? - Interest rate The interest for one year on the deposit of € 2,000 was € 18. What was the annual interest rate in percent?
- Rainwater barrel
There are 1.5 hectoliters of rainwater in the barrel. Two-fifths of the water passed from the barrel while watering the garden. How many liters of water remained in the barrel? - Fraction equation
Solve the equation: 1/c - 3/(2c) = 3/4 - Acceleration distance
When accelerating from 0 to 100 km/h in 9.3 seconds, what distance will the car travel? - Sun rays
If the sun's rays are at an angle of 60°, then the famous Great Pyramid of Egypt (which is now 137.3 meters high) has a 79.3 m long shadow. Calculate the current height of the neighboring Chephren pyramid, whose shadow is measured at the same time at 78.8 - Sugar cubes
The glass holds 600 ml of tea, which represents 80% of its volume. If twenty regular sugar cubes of 2 cm are poured into the tea, how many ml of tea are poured? - Percentages 5
$5.25 is 7 1/2% of what number? - Flowers + orchards + lawn The garden around the flat house is divided as follows: 30 percent flowers, 35 percent orchards, and 150 square meters from the lawn. What is the total area?
- Cube in sphere
The sphere is an inscribed cube with an edge of 8 cm. Find the sphere's radius. - Five-sevenths of a volume
Forty-two liters of water fill the barrel to two-thirds of its volume. If it is filled to five-sevenths of a volume, how many liters of water do we need to add? - New Year's
A shoe store had a special offer during the New Year's sale: if you buy two discounted pairs of shoes, you get the cheaper pair for 1/2 the price! Mrs. Ludmila decided to take advantage of this offer. She bought shoes for her son that were 60% off the ori - In the orchard
They planted 25 apple trees, 20 pears, 15 plums, and 40 marbles in the orchard. An intense late frost, however, destroyed a fifth of all new trees. Unfortunately, it was all the trees of one kind of fruit. What is the probability that the plums have died - Block volume
The sketch shows the net of a cuboid with a surface size of 150 cm². Calculate its volume. (MONITOR 9 - 2005/30 question.) - Number property
Which number has such a property that if we increase it by 7, we get a number with the same absolute value as the original number? - Electricity consumption cost
Last year, Carol's family reduced its electricity consumption by 31% compared to the previous year and paid CZK 2883 less. How much CZK was electricity last year, and how many two years ago?
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