Maths practice for 12-year-olds - page 340 of 347
Number of problems found: 6923
- Discount
The product has been discounted twice by 15%. 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 has side a = 10 and area S = 50. Calculate the lengths of the remaining sides. - Purchase
Three buyers paid €468 in total. The first paid 3 times as much as the second, and the third paid half as much again as the second. How many euros did each of them pay? - Triangle
Can an equilateral triangle have a right angle? - Pool
The swimming pool is 10 m wide and 8 m long, and 153 cm deep. How many hectoliters of water are in it if the water is 30 cm below its upper edge? - Lines
Five bus lines run at intervals 4, 5, 7, 11, 12 minutes. In the morning, it suddenly starts at 7:00. After how many minutes do the bus lines meet again? - Numbers
Determine the count of all positive integers less than 4064028 that are divisible by 5, 23, 2. What is their sum? - Midpoints
The triangle formed by connecting the midpoints of the sides of triangle ABC has a perimeter of 83. What is the perimeter of triangle ABC? - The Cats and Mice Problem
Two cats caught two mice in two days. How many mouses will catch 10 cats for 10 days? - Compass
What is the angle between compass directions J (Juh) and ZSZ (ZápadoSeveroZápad)? - Gear
Two meshing gears have a gear ratio of 1:2. The distance between their centres is 96 cm. What are the radii of each gear? - Cubes
The surface areas of two cubes, whose edges differ by 42 cm, differ by 16128 cm². Determine the edge length of each cube. - Subway
A subway train accelerated uniformly for 26 seconds, reaching a speed of 72 km/h. It then travelled at this speed for 56 seconds, before decelerating uniformly to a stop in 16 seconds. What was the distance between the stations? - Rail turn
The curve radius on a railway line is 532 m. The length of the rail track along this curve is 818 m. What is the angle ASB in degrees, where A and B are the endpoints of the curve and S is the centre of the arc? - ŽSR
Calculate fixed annual personnel costs of operating monorail line 143 km long if every 5 km is a station that serves three people - one dispatcher and two switchmen in 4-shift operation. Consider the average salary of the employee 884 euro. - Salary
Calculate the equivalent annual salary to an hourly wage of $ 15. Assume a 33-hour workweek. - Chocolate
How many times must a chocolate bar consisting of 10 × 12 pieces be broken to separate it into 120 individual pieces? - Washer
A washing machine drum spins at 64 RPM. The motor pulley has a diameter of 6 cm. What must be the diameter of the drum pulley if the motor runs at 367 RPM? - Cube
The cube weighs 11 kg. How weigh is a cube of the same material if its dimensions are 3-times smaller?
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