Maths practice for 14 year olds - page 125 of 362
Number of problems found: 7237
- Club boy girl
There were 43 pupils in the school club, seven fewer boys than the girls. How many boys and girls were in the club? - School model
The beech school model of a regular quadrilateral pyramid has a base 20 cm long and 24 cm high. Calculate a) the surface of the pyramid in square decimeters, b) the mass of the pyramid in kilograms if the density of the beech is ρ = 0,8 g/cm³ - Parallelogram ABCD
We have the parallelogram ABCD, where AB is 6.2 cm; BC is 5.4 cm and AC is 4.8 cm. Calculate the height on the AB side and the angle DAB. - Roof aluminum boards
To cover the pyramidal roof of the house, Mr. Drobný bought aluminum boards at 210 CZK per 1 m². How much CZK crowns did he pay for them if their consumption increased by 10% due to overlapping edges? - Pants shirt combinations
He has four types of pants. How many T-shirts does he have if he can dress 40 different ways? - The rectangular
The rectangular trapezoid has bases 15 dm and 8 dm long, and the length of the inclined arm is 12 dm. How long is the other arm of the trapezoid? - Safe wall percentage
The safe is 100 cm high, 80 cm wide, and 60 cm deep. Its internal space has a volume of 168 liters. What percentage of the total volume of the safe is occupied by the walls of the safe? - Block wall diagonal
A block with dimensions a = 15 cm b = 5 cm and a block height c = 8 cm. Calculate the length of the wall diagonal in the base. - Trapezoid area angle Calculate the area of the isosceles trapezoid ABCD if a = 14 cm, c = 8 cm, and the size of the angle DAB is 52 °.
- Arithmetic mean median
Calculate the arithmetic mean, median, and mode of numbers x1, x2. .., x15, if the number 2 occurs between them five times, the number 7 eight times, and the numbers 10 and 12 once. - The triangle
The triangle has sides 5 cm long, 5 cm, and 8 cm long. What is the area of the triangle? - Bracelet wire length
Rachel wants to model a round bracelet with a diameter of 8 cm from copper wire. About how much wire does he need to make it if he needs to add 15% of its length to the eyelets? (π = 3.14) - Equilateral Δ
What is the area of an equilateral triangle with a perimeter of 63 cm? - Thermometer
A thermometer with a heat capacity of 2.0 J/K is immersed in 67.0 grams of water. Before immersion, the thermometer reads 17.8 °C. After reaching thermal equilibrium, the temperature is 32.4 °C. What was the temperature of the water before the measurement - A married
A married couple planned to have three children. i. List the possible combinations of the sexes of 3 children. Use B for a boy and G for a girl. ii. Calculate the probability that all three children would be of the same gender - Diver hydrostatic pressure
The Czech Martin Štěpánek became the world record holder in May 2003, diving in the open sea in Cyprus with only fins to a depth of 93 m for 3 min and 34 s. Calculate the hydrostatic pressure acting on it at this depth. - Rectangle area
The rectangle's length is 35% larger than its width, and the circumference is 188 cm. Calculate its area. - Flower planting
Gardeners have planted 1,100 flowers. Pansies are 280 less than tulips, and 40 daffodils than pansies. How many pansies have they planted? - Tank 28
The tank is shaped like a cuboid. The base is rectangular; one side of the rectangle is 40 cm long, and the diagonal of this rectangle is 50 cm. The height of the tank is 1.5 m. We start filling the tank with water at a rate of 1 litre per second. No wate - A cheetah
A cheetah was separated from his brothers during a hunt. His brothers were at a watering hole 120 km away. He had to return before sundown, which was 1.5 hours away. His brothers planned to leave the watering hole at sundown. - For the first 40 km, the ch
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