Maths practice for 12-year-olds - page 341 of 347
Number of problems found: 6932
- 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? - Water
Into a full cylindrical tank high 3 m with a base radius of 2.5 m, we insert a cuboid with dimensions 1.7 m, 1.3 m, 1.9 m. How many liters of water will overflow out? - Expression
If it is true that (p + 9 m)/(m) = -19, then the value of the expression (13 p)/(11 m) is: - News
Of 28 students, 10 The economist subscribe to the first magazine, 10 Pravda subscribe to the second magazine, and 18 subscribe to neither. How many students subscribe to both magazines? - Three numbers
Using the digits 1–9, form three-digit numbers such that their sum is as small as possible. What is the value of this sum? (Use each digit exactly once.) - Tippler
Bottle with cork cost 6.6 Eur. The bottle is 0.6 euros more expensive than the cork. How much are a bottle and the cork? - Compare
Compare fractions (34)/(3) and (12)/(4). Which fraction of the lower? - Homework
In the crate are 18 plums, 27 apricot, and 36 nuts. How many pieces of fruit were left in the crate when Peter took 6 ninth: 1. nuts 2. apricots 3. fruit 4. drupe - Sea on the Moon
Assume that the Moon has a sea with the same composition as Earth's (it has the same saltwater density). Calculate the boat's dive floating in the sea on the Moon when on Earth, it has dived 3.9 m. Consider that the Moon has 6.5-times smaller gravitationa - Equator
Suppose a tourist walked all the way around the Earth along the equator. How many more metres would the tourist's hat travel than the soles of their shoes? The radius of the Earth is 6378 km, and the tourist's height is 1.7 m. - Book
The printer used 4201 digits to number the pages of the thick book. How many pages does this book have? - Expansion
If one side of a rectangle is multiplied by 2 and the other side by 4, by what percentage does the area increase?
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