Maths practice for 14 year olds - page 300 of 381
Number of problems found: 7610
- Difference 3539
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.
- Tournament 3524
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?
- Afternoon 3523
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?
- Identical 3518
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?
- Right-angled 3511
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.
- Performance 3510
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?
- Rectangular triangle PQR
In the rectangular triangle PQR, the PQ leg is divided by the X point into two segments, of which longer is 25cm long. The second leg PR has a length of 16 cm. The length of the RX is 20 cm. Calculate the length p of side RQ. The result is round to 2 deci
- 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?
- Required 3504
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?
- Acceleration 3503
What speed was the car moving until the driver started braking when it moved with a constant acceleration a = -1.2m/s² during braking until it stopped, traveling a distance of 135m?
- Percentage 3501
We first poured 0.25 water from the full container, then 0.2 of the remaining water. What percentage of the container remained full?
- Separated 3495
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
It is given to a circle with the center S and a radius of 3.5 cm. The distance from the center to line p is 6 cm. Construct a circle tangent n which is perpendicular to the line p.
- Together 3491
One painter would paint the school in 15 days. Together with the second painter, they painted the school in 6 days. In how many days the second painter would have painted the school himself?
- Triangular prism
The perpendicular triangular prism is a right triangle with a 5 cm leg. The prism's largest wall area is 130 cm2, and the body height is 10 cm. Calculate the body volume.
- Determined 3488
Find out if there is a triangle whose two sides are 5 cm and 8 cm long and the middle bar determined by their centers is 1.5 cm long.
- Intersection 3486
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.
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