Maths practice for 14 year olds - page 281 of 309
Number of problems found: 6169
- Parking
One hundred twenty vehicles are parked in the morning. Passenger car is charged 20 CZK and 50 CZK per bus. The guard collected for parking 2640 CZK in total. How many cars and buses stood in the parking?
- Digging companies
Company A would dig a pit for 12 days, company B for 15 days, company C for 20 days, and company D for 24 days. Work began with companies C and D, but after three days, They joined the other two companies. How long did it take to dig a pit?
- Seamstress 2
The seamstress bought two kinds of textile in whole meters. One at 50 SKK and the second at 70 SKK per meter. How many meters were bought from these two textiles when paid 1540 SKK totally?
- Seamstress
The seamstress bought two kinds of textile together 25 meters. One at 50 SKK and the second at 70 SKK per meter. How many meters were purchased from these two textiles when paid 1540 SKK?
- Three men
Alex is half younger than Jan, which is one-third younger than George. The sum of their ages is 48. How are these three men old?
- Median
In the ABC triangle is given side a=10 cm and median to side a: ta= 13 cm, and angle gamma 90°. Calculate the length of the median to side b (tb).
- Eva
When Eva bought eight packages of cookies, 4 CZK left her. If she wanted to buy ten packages, she would have to borrow 20 CZK. How much money does Eva have in her wallet?
- RT and ratio
A right triangle whose legs are in a ratio 6:12 has a hypotenuse 68 m long. How long are its legs?
- Circles
In the circle with a radius, 7.5 cm is constructed of two parallel chords whose lengths are 9 cm and 12 cm. Calculate the distance of these chords (if there are two possible solutions, write both).
- Nuts
How many must we have at least nuts if we can equally divide it among 10 children, 12 children, or 15 children and any nuts left?
- Ski lessons
The ski course attends 80 pupils. They live in triple and quadruple rooms. Count if rooms are the 23. How many are triple and quadruple rooms?
- Triangle
Calculate the triangle sides if its area S = 630 and the second cathetus is shorter by 17.
- Three friends
The three friends spent 600 KC in a teahouse. Thomas paid twice as much as Paul. Paul was half less than Zdeněk. How many each paid?
- Isosceles trapezoid
Calculate the area of an isosceles trapezoid whose bases are in the ratio of 4:3; leg b = 13 cm and height = 12 cm.
- Cuboid - edges
The sum of all edges cuboid is 31 meters. However, the width is twice shorter as the length, and the height is seven times longer than the width. Determine the dimensions of the cuboid.
- Pumps
Pump drawing water at velocity 3.5 liters per second from a construction trench takes 35 minutes. a) Find out how many minutes the water would run out of the trench pump that draws 7.4 liters of water per second. b) What pumping velocity would you have ha
- Mushrooms from the forest
Magda and Tereza go to pick mushrooms. Found 70 mushrooms. Magda found that between fungi, 5/9 bedel was found. Tereza discovered that she found 2/17 champignons among fungi. How many mushrooms were found, Magda?
- Plan scale
At what scale is the drawn plan of the building, where one side is 45 meters long, and the plan is expressed by a straight line 12 mm long?
- Workhorses
A team of colleagues did the work in 20 days. After adding two colleagues from the beginning, the team completed the work in 15 days. How many members has the colleague team?
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