Maths practice for 14 year olds - page 287 of 361
Number of problems found: 7217
- Fourland - characters
In Fourland, they only have four letters F, O, U, and R, and every word has exactly four letters. No letter may be repeated in any word. Write all the words that can be written with them. - Rectangle area
The dimensions of the left rectangle are 4 cm and (x+1) cm. The right rectangle consists of two rectangles: the upper one with dimensions of 3 cm and x cm and the lower one with an area of 7 cm². We know that the area of the left rectangle is the same as - Number increases
We increased the unknown number by 29% once and 41% the second time. The difference between the new numbers was 420. What was the unknown number? - Hockey goals
Four hockey teams scored 337 goals in the tournament. The second team scored 16 goals less than the first, the third 17 less than the second, and the fourth 30 goals less than the second. How many goals did each team score? - Parking vehicles
There were 120 vehicles in the parking lot during the afternoon. CZK 20 for a car and CZK 50 for a bus. The security guard collected a total of 2,640 CZK for parking. How many cars and how many buses were parked in the parking lot - Milk mixing
You have 12 liters of milk with a temperature of 20 °C. How much milk at 80 °C do you have to add to have milk at 30 °C? - Shelf lengths
The carpenter cut two identical pieces into shelves from a 2-meter longboard. He cut the rest into four side shelves of 20 cm. How long are the shelves? - Triangle angles
In a right-angled triangle at vertex C, the alpha angle is 24 degrees smaller than the beta angle to determine the size of the triangle angles. - Ticket sales
They sold 120 tickets at the children's performance for CZK 3,100. The children cost CZK 20, and the adults cost CZK 40. How many children's tickets have been sold? - A mast
The wind broke a mast 32 meters high so that its top touched the ground 16 meters from the pole. The still-standing part of the mast, the broken part, and the ground form a rectangular triangle. At what height was the mast broken? - Production time
The milling machine makes the part in 20 minutes. On a better machine, it can make 30 parts in 6 hours. By how much percent will the time required to produce one part on a new machine be reduced? - Braking speed
What speed was the car moving until the driver started braking when it moved with a constant acceleration a = -1.2 m/s² during braking until it stopped, traveling a distance of 135 m? - Container percentage
We first poured 0.25 water from the full container, then 0.2 of the remaining water. What percentage of the container remained full? - Waste separation
14% of separated waste in Slovakia in 2007 consisted of plastics. The glass managed to separate twice as much. What% of separated waste was glass? What% of separated waste was another waste? - Circle tangent
A circle with centre S and radius 3.5 cm is given. The distance from centre S to line p is 6 cm. Construct a tangent to the circle that is perpendicular to line p. - Square coordinates
The rectangular coordinate system has a point A [-2; -4] and a point S [0; -2]. Determine the coordinates of points B, C, and D so that ABCD is a square and S is the intersection of their diagonals. - Grandmother
A grandmother wants to divide candies among her grandchildren. If she gives five candies to each, she is three short. If she gives four candies to each, she has three left over. How many grandchildren does she have, and how many candies does she have? - Pool whitewashing
The pool is in the shape of a vertical prism with a bottom in the shape of an isosceles trapezoid with dimensions of the bases of the trapezoid 10 m and 18 m, and arms 7 m are 2 m deep. During spring cleaning, the bottom and walls of the pool must be whit - Workers needed
Twenty-seven workers did the work in 12 days. In how many days would nine workers do the same job? - Working time If work is done in 16 days at a 10-hour shift, how many days will it be done at 8-hour shifts?
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