Maths practice for 14 year olds - page 287 of 362
Number of problems found: 7233
- SMS time
Smith and Wyatt are leaving from a joint vacation. They agreed that when they were 100 km apart, they would text each other. Smith drives at 60 km/h and Wyatt at 90 km/h. They left at 2:00 PM (14:00). What time do they text each other? - Parallelogram diagonals
One side of the parallelogram is 5 cm. Can it have 3 cm and 6 cm diagonals? - Percentage calculations
Calculate to two decimal places. What percentage is: a / 15min from 4 h b / 35 cm² of 12.5 dm² c / 2 dm² of 400 cm² d / 0.2 l of 2.2 l - Chord distance
There is a 12 cm long chord in a circle with a radius of 10 cm. Calculate the distance of the chord from the center of the circle. - Hall
A rectangular hall is to be paved with square tiles with a side length of 15 cm. The hall has a length of 18 meters and a width of 3 m. How many tiles do you need to buy if 2 percent of the amount are damaged during the work? - Smoked meat
The meat loses 18% of its weight by smoking. How many kilograms of smoked meat can we make from 27 1/2 kg raw meat? - Isosceles triangle
Jan and her father were going to the tent. They found that their old tent was torn. Their mother suggested that they sew a tent with walls comprising six identical isosceles triangles. Their lower side is 2 m long, and the height to this side measures 2.5 - Store revenue
They had the same sales plan in Mr. Nový's two stores. In the first store, they exceeded the plan by 23% and in the second by 25%. They had a total turnover of € 66,000. What revenue did each store have? - Path paving cost
A 2.4 m wide path will be paved around a circular lake with a diameter of 8.2 m. How much will the paving cost when 1 m square costs 350 kc? - Two trains
Two trains are running the same distance. 1st train will travel in 7 hours 21 minutes. 2nd, the train will travel 5 hours, 57 minutes, and 34 seconds, and it is 14 km/h faster than the first train. What are the speeds of trains, and how long is this railw - 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? - Slope
Find the slope of the line: x=t and y=1+t. - 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?
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