Maths practice for 14 year olds - page 36 of 361
Number of problems found: 7217
- Matej 2
Matthew, Mark, Miles, and Matt had a total of 205 football player cards with signatures. Mark has four times more than Matthew. Matt had twice less than Mark. Miles had 20 fewer cards than Matthew. How many cards did each of them have? - In the domestic
In a domestic express train, there are 1st and 2nd class carriages. There are twice as many 2nd class carriages as 1st class carriages. Each carriage has 10 compartments. Each 1st class compartment has 6 seats, and each 2nd class compartment has 8 seats. - 5D decimal
How many five-digit numbers contain exactly 2 fours and exactly 3 sevens in their decimal notation? - Average time
Determine the weighted average time required in minutes per product, given that 6 workers each take 8 minutes, 15 workers each take 12 minutes, 5 workers each take 10 minutes, and 9 workers each take 13 minutes. - Construct 22
Construct a rhombus ABCD if the diagonals are f = 7 cm and e = 5 cm. - Between terminals
A resistor is connected to a 220 V source. A current of 220 mA flows through the resistor. Determine the current that flows through the resistor when it is connected to a 24 V voltage source. - The tower
From a window 8 m above the horizontal plane, the top of a tower can be seen at an elevation angle of 53°20′, and its base at a depression angle of 14°15′. How high is the tower? - Two Sections
A sphere with a radius of 5 cm was divided into two spherical caps. The height of the smaller cap is 1 cm. Determine the volume of the smaller cap to the nearest hundredth of a cm³. - To the cinema 2
On Tuesday, 20 more visitors came to the cinema than on Monday. On Wednesday, half as many visitors came as on Tuesday. There were a total of 175 visitors over these three days. How many visitors came on each day? - HAMMER 4
Determine in how many ways the letters of the word HAMMER can be rearranged so that some group of consecutive letters in the rearrangement forms the word CAL. - Members 2
The members of a housing cooperative elected a seven-member board. In how many ways can a chairman, vice-chairman, treasurer, and secretary be chosen from among them? - Birthday boy 2
In how many ways can seven people be seated around a table if the birthday boy must sit at the head? - HAMMER 3
Determine in how many ways the letters of the word HAMMER can be rearranged so that some group of consecutive letters in the rearrangement forms the word WATER. - Base RR odd
The base of a prism is an isosceles trapezoid ABCD with bases AB = 12 cm and CD = 9 cm. The angle at vertex B is 48°10′. Determine the volume and surface area of the prism if its height is 35 cm. - Relay
A relay race will be run by the class team of Kate, Alice, Michaela, and Erica. Determine how many different running orders are possible, given that each of them can run in any position. - Police on time
A boat carrying smugglers has left the shore and is travelling at 85 km/h. After 10 minutes, a police boat starts chasing it at 110 km/h. International waters, where the possibility of apprehending the smugglers ends, begin 30 km from the coast. Will the - Map - route
A map has a scale of 1:40,000. How many centimetres will a route of 4.8 km be shown as on the map? - Tanker 3
A full fuel tank weighs 4,500 kg. If we pump out 30% of the gasoline, it will weigh 3,900 kg. How many kilograms does the empty tank weigh? - Gardener 5
A gardener bought 17 apple trees and 11 pear trees and paid a total of €111.65. How much did 1 pear tree cost, given that its price was 35 cents higher than the price of 1 apple tree? How much would the gardener pay for 28 apple trees and 15 pear trees? - Determine the surface area
Find the surface area of a cone of height 30 cm whose slant side makes an angle of 60° with the base plane.
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