Maths practice for 14 year olds - page 34 of 361
Number of problems found: 7214
- Deep pool - bottom
A pool is 25 m long and 12 m wide. In one half of the pool, the depth is constant at 1.8 m; in the other half, the bottom slopes gradually up to a depth of 1.2 m. What is the total area of the pool bottom? - On a job
On a job, Peter harvested 150 kg of apples and John harvested 130 kg of apples. They divided a reward of 2,660 CZK in proportion to the apples harvested. How much did each receive? - Servings for a dog
Jana is going to eat two sausages for dinner, and Andrew is going to eat 4 sausages. A stray dog came along, and they each gave it half a sausage. Who gave the dog more (meaning a larger share of their own portion)? - Branded
Branded trainers are now selling for 2,394 CZK. The seller first reduced the original price by 5%, and then reduced the new price by a further 10%. What was the original price? What was the total discount? How much of the original price represents 21% VAT - Effective rate
Calculate the effective health-insurance contribution rate of a beginning self-employed person, if he applies a flat-rate expense of 60%, after deduction of expenses the tax base is divided by the Bulgarian constant 1.486 and then contributions are paid - - Aukro commission
Aukro - the Slovak and also the Czech versions charge various, non-transparent fees (fee for successful sale, commission, buyer protection, service fee). We therefore did a real experiment to determine how much actually Aukro takes. We sold and bought a b - Jewellery-maker
A jewellery-maker threads 5 beads in 20 seconds. A necklace consists of 210 beads, 30 are already threaded. a) Write an equation of the dependence of the number of threaded beads on time (in minutes), during which the jewellery-maker will be threading the - Morse code 2
We have two characters: a dot and a comma. How many two-character and three-character sequences can be created using them, with repetition allowed? - Hexagon, hexa S, V
What is the surface area and volume of a regular hexagonal prism with a base edge of 12 cm and a height equal to the diameter of the circle circumscribed about the base? - View angle
From a tower 20 m high and 20 m away from a river, the width of the river appears to span an angle of 15°. How wide is the river at this location? - After-school club
30 children in a school club need to split into two teams. They put 15 white and 15 black marbles into a basket and draw lots. The teams will be made up of children who draw marbles of the same colour. Patricia drew first and pulled out a white marble. Af - 216 surface area and volume
Calculate the surface area and volume of a regular tetrahedral pyramid with base edge a = 6 cm and height of 12 cm. - Pure gold
How much pure gold is in a 15-gram ring made of 14-carat gold? Round the result to the nearest tenth of a gram. - Sale of a bill of exchange
A businessman bought a bill of exchange 6 months before its maturity. After deducting interest at an annual rate of 10%, he paid €19,000 for it. How much interest was deducted from the face value of the bill? - Tractor 19
A tractor ploughs a field in 48 hours using a plough with 5 blades. How long will it take to plough the same field using a plough with 6 blades of the same width, maintaining the same tractor speed? - Painting a column
How many kg of paint are needed to paint a column in the shape of a regular triangular prism with a base edge of 2.5 m and a base height of 2 m? The column is 10 m high and 1 kg of paint covers 25 m². - Women in the company
1,467 women work in a factory. Women make up 46% of all employees. How many employees work in the factory in total? - Water + temperature
We supplied 1,365 kJ of heat to 5 kg of water initially at 20 °C. To what temperature did it heat up? - Painters 5
Six painters were supposed to paint 6,000 m² within the planned time. Two painters fell ill, so each of the four remaining had to paint 50 m² more per day than the original planned daily output. Calculate the original planned daily output per painter. - John and Thomas
John and Thomas received 105 CZK from their grandmother together. John received one third more than Thomas. By how many CZK did Thomas receive less than John?
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