Maths practice for 14 year olds - page 280 of 382
Number of problems found: 7625
- Production schedules
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 - Longest rod
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 15 m and 11 m 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? - Cone cutout
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? - Cone volume
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. - Solving Inequality
Which x satisfies the inequality 5 - Tea mixture
We add 4 kg of tea to 2 kilograms of tea for 15 €, and we get the mixture for 12 €. How much is kg of second tea? - 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 perimeter is 78 dm. Calculate the length of the sides of a parallelogram.
- Larger pipe
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
George 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 CZ - Linear equation
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 - How far
From the top of a lighthouse 145 ft above sea level, the angle of depression of a boat is 29°. How far is the boat from the lighthouse? - System methods
Solve the system of equations by substitution, comparison, and addition method and perform the test: 4x + y = 5 3x-5y = 21 - Rhombus
One angle of a rhombus is 136°, and the shorter diagonal is 8 cm long. Find the length of the longer diagonal and the side of the rhombus.
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