Maths practice for 14 year olds - page 103 of 369
Number of problems found: 7367
- Money spending
Albert and Peter have an amount of money. If Albert spent $6 and Peter did not spend any, then the ratio of Albert's money to Peter's money is 1:3 . If Peter spent $6 and Albert did not spend any, the ratio of Albert's money to Peter's money is 3:7.How mu - Radio radius
Two friends have shortwave radios with a range of 13 km. The first of them travels by train at a speed of 48 km per hour along a straight section of track, from which the second of the friends is 5 km away. How long will radio friends be allowed for both - Dividing rod
The 3m long rod should be divided into two parts so that one is 16cm longer than the other. Find the lengths of both parts. - Face combinations
If I have 20 sets of eyes, 20 noses, and 20 months, how many unique face combinations can I make? - The diagonals
The diagonals in the diamond ABCD are 6 cm and 8 cm long. What is the perimeter of this diamond? - Trapezoidal 61231
The room has a trapezoidal floor plan; we need to polish it. The parallel sides in a trapezoid are 4,800 mm and 4,400 mm long, and the oblique sides are 4,600 mm and 5,100 mm long. There are two 900 mm wide doors in the room. One strip measures 250 cm and - Multiple ratio
The numbers of boy students, girl students, teachers, and other staff of the school are in the ratio of 14:12:2:1. How many teachers are there at school if there are 216 girl students at school? - Plants
The number of germinated plants increased by 50% to 300 from morning to evening. How many plants germinated in the morning? - Unidentified 61201
The set contains 12 different figures. How many unidentified individual figures do I have to buy to have precisely two complete sets with a 90% probability after unpacking them? - The ladder
The ladder makes an angle of 2°30' with the wall and reaches a height of 2.3 m. How far is the ladder from the wall? - After the discount
The dishwasher costs 210 EUR after the discount. How much did it cost before the discount if the new price is 90% of the original price? - Aquaman
Aquaman Kebule shopped at Captain Nemo's fishmonger, where the prices of all goods were listed in whole scales. If Kebule bought 2 crayfish, 3 clams, and 1 pike, he would pay 49 scales. If he bought 5 more crayfish, 11 clams, and 1 pike, he would pay a to - Hockey match
The home team won the hockey match with a result of 5:4. How many shots were fired at the goalkeeper if his success rate was 42.86% in the match? - Raindrops
The car runs on a horizontal track at a constant speed of 20 m2-1. It is raining. Raindrops fall in a vertical direction at a speed of 6 m/s. a) How fast is the speed of the drops relative to the car windows? b) What is the angle of the raindro - Side wall planes
Find the volume and surface of a cuboid whose side c is 30 cm long and whose body diagonal forms angles of 24°20' and 45°30' with the planes of the side walls. - A box 4
A box open at the top has a rectangular base of 200 mm x 300 mm and an altitude of 150 mm. If the base and the sides are 10 mm thick, find the box's total surface area. - Similar frustums
The upper and lower radii of a frustum of a right circular cone are 8 cm and 32 cm, respectively. If the altitude of the frustum is 10 cm, how far from the bottom base must a cutting plane be made to form two similar frustums? - Calculate 60993
In the right triangle ABC, calculate the magnitude of the interior angles if / AB / = 13 cm; / BC / = 12 cm and / AC / = 5 cm. - Nitric acid
We want to prepare 200 g of 30% nitric acid. We have enough 12% and 60% of this acid. How many of which will we need? - Dimensions 60943
We will reduce one edge of the block with dimensions of 2cm, 4cm, and 6cm by 20%. How does the volume of a block change? What percentage?
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