Maths practice for 14 year olds - page 275 of 370

Number of problems found: 7391

Isosceles triangle
Calculate the area and perimeter of an isosceles triangle ABC with base AB if a = 6 cm, c = 7 cm.
Land - isosceles trapezoid
Calculate the building plot's area and perimeter using an isosceles trapezoid with bases of 120m and 95 m and a height of 50m.
Empty canister
The canister is filled with oil and weighs 17 kg. Suppose only half is filled, weighing 9 kg. What weight does my empty canister have?
Bringing 4709
The passing freight train had a total of 42 wagons, bringing a total of 750 tons to the station. Some wagons were 15 tons, and others 20 tons. How many wagons were 15 tons, and how many were 20 tons?
Production 4704
The monthly production schedule of the two companies totaled 360 machines. When the first company met its plan at 105% and the second at 117%, the two companies produced 402 machines. Determine the original monthly schedules of both businesses.
Toy cars
Paul has a collection of toy cars. He wanted to regroup them. But when he divided them into groups of three, four, six, and eight, he was always one left. Only when he formed groups of seven did he divide all toy cars. How many toy cars are in the collect
Dimensions 4700
The toolbox has internal dimensions, a length of 1.5 meters, a width of 80 cm, and a height of 6 dm. Calculate the longest rod we can hide in this box.
Two aircraft
From the airport will start simultaneously two planes, whose flight tracks are perpendicular to each other. The first flying speed of 680 km/h and the second 840 km/h. Calculate how far the aircraft will fly for half an hour.
Three-digit code
The five cards with the numbers 1, 2, 3, 4, and 5 put together all three-digit odd numbers. How many are there?
Diagonals of diamond
Find the area and circumference of the diamond ABCD with 15m and 11m diagonals.
Workers
A Group of workers washed half of the windows of the building in two hours. How long will it take half the workers to wash all the windows of the building?
Circular 4690
The cone shell with a base radius of 20 cm and a height of 50 cm unfolds into a circular cutout. How big is the center angle of this cutout?
Calculate 4689
The area of the rotating cone shell is 240 cm², and the area of its base is 160 cm². Calculate the volume of this cone.
Inequality 4687
Which x satisfies the inequality 5
Trapezoid - central median
The central median divides the trapezoid into two smaller trapezoids. Find the ratio of its areas.
Parallelogram
Side a of a parallelogram is twice longer than side b. Its circumference is 78 dm. Calculate the length of the sides of a parallelogram.
Smaller 4657
Two supply pipes open into the pool, and the smaller pipe fills the pool in 40 hours. The empty pool will be filled in 16 hours if we open both supply pipes. How long would it take to fill if only the second, larger inlet pipe was opened?
Grand Pardubice Steeplechase
Jirka decided to divide the winnings from the bet in Grand Pardubice Steeplechase (Velká Pardubická) between himself and his three younger brothers according to age in the ratio of 2:3:5:7. They paid each amount in whole crowns. One of the amounts was CZK
Determine 4649
Determine five solutions to the equation of two unknowns. Write as arranged pairs and draw in the graph. What does a diagram of a linear equation look like? 2x + 3y = 7
Two Equations
Solve the system of equations by any method and perform the test: 2 (x + y) -3 (y + 2) = -1 x + 2/3y-6 = 2

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