Maths practice for 12-year-olds - page 303 of 309
Number of problems found: 6169
- Trapezoid
Are diagonals in a rectangular trapezoid perpendicular and bisect the angles?
- Motion2
The cyclist started off town at 25 km/h. The car started after 1.9 hours behind him in the same direction. It caught up with him for 55 minutes. How fast and how long did the car run from the city to catch cyclists?
- Wire D
Wire length 1 m is bent to form a semicircle circuit (including the diameter). Determine the radius of the semicircle.
- One sixth
How many sixths are two-thirds?
- Discount
The product has been discounted twice by 14%. What is the total discount given?
- Cubes
Cube, which consists of 8 small cubes with edge 1 dm, has volume:
- Right triangle
Right triangle ABC with side a = 10 and the area S = 50. Calculate the length of the remaining sides.
- Purchase
Three buyers paid € 468. The first paid 3-times more than the second, and the third half over the second. How many euros were paid to each of them?
- Triangle
Can an equilateral triangle have a right angle?
- Lines
Five bus lines run at intervals 3, 6, 9, 12, 15 minutes. In the morning, it suddenly starts at 4:00. After how many minutes do the bus lines meet again?
- Numbers
Determine the number of all positive integers less than 5286382 if each is divisible by 19, 5, 23. What is its sum?
- Compass
What angle is between directions SSE (SouthSouthEast) and SW (SouthWest) on the compass?
- Gear
Two gears fit into each other and have a transfer of 1:2. The centers of gears are spaced 96 cm. What are the radii of the gears?
- Subway
The Subway train went between two stations that gradually accelerated for 26 seconds and reached a speed of 72 km/h. At this rate, it went 56 seconds. Then 16 seconds slowed to a stop. What was the distance between the stations?
- Rail turn
The curve radius on the railway line is 532 m. The length of the rail track on it is 818 m. How many degrees is the angle ASB if A and B are boundary points and S is the center of the arc curve?
- ŽSR
Calculate fixed annual personnel costs of operating monorail line 115 km long if every 7 km is a station that serves three people - one dispatcher and two switchmen in 4-shift operation. Consider the average salary of the employee 829 euro.
- Salary
Calculate the equivalent annual salary to an hourly wage of $ 15. Assume a 33-hour workweek.
- Chocolate
How many times do we have to break a chocolate bar composed of 10 × 12 pieces to get the 120 parts?
- Washer
The washing machine drum washes at 71 RPM. The washing machine motor pulley has a diameter of 8 cm. What must be the diameter of the drum machine pulley when the motor is at 351 RPM?
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