Maths practice for 14 year olds - page 277 of 382
Number of problems found: 7625
- Basic form
Expressed the ratios of values in the basic form: 0,5 t : 1,2 kg 200 l : 0,15 m³ 12 t : 3600 kg 500 kg : 2,5 t 0,9 kg : 500 g 3,6 m : 240 cm 1200 mm : 2,4 m 300 l : 0,3 m³ 6 min 30 s : 900 s - 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? - Family
A mother is 42 years old, and her daughters are 13 and 19. After how many years will the mother be as old as both her daughters combined? - 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? - Triangle construction
Construct a triangle ABC if you know the lengths of its sides c = 5 cm, a = 4 cm and angle ABC is 60°. Measure the length of side b in millimeters. Side length b is: a, 75 mm < b < 81 mm b, 53 mm < b < 59 mm c, 43 mm < b < 49 mm d, 13 mm - Youngest sibling Peter, Leo, and Ike are siblings. Peter is three times as old than Leo, and Leo is three times younger than Ike. They are 28 years old together. How many years is the youngest of them?
- 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? - Trapezoid MO-5-Z8
Trapezoid KLMN has bases 12 and 4 cm long. The area of triangle KMN is 9 cm². What is the area of the trapezoid KLMN? - Hamsters and guinea pigs
In the morning, they had five times more hamsters than guinea pigs in the store. After selling 4 guinea pigs and 4 hamsters, they were left with four times as many hamsters as guinea pigs. How many hamsters and guinea pigs did they have together in the sh - 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.
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