Maths practice for 14 year olds - page 286 of 382
Number of problems found: 7626
- Coffee blend
From two types of coffee priced at 450 CZK/kg and 730 CZK/kg, 20 kg of a blend priced at 520 CZK/kg is to be prepared. How many kilograms of each type of coffee are needed? - Grams
How many grams of 5% solution do we need to add to 100 g of 50% solution to get a 20% solution? - Square vs rectangle
A square and a rectangle have the same areas. The rectangle's length is nine greater, and the width is six less than the side of the square. Calculate the side of a square. - Collecting day
On collecting day at school, pupils of three classes took 1063 kg of paper. Class B collected half more than A-Class and class C 55 kg more than B. How many kilograms of paper were collected in each class? - Trapezoid MO-5-Z8
ABCD is a trapezoid in that lime segment CE is divided into a triangle and parallelogram. Point F is the midpoint of CE, the DF line passes through the center of the segment BE, and the area of the triangle CDE is 3 cm². Determine the area of the trapezoi - Two cyclists
Two cyclists set off at the same time from the same point. One travels north at 20 km/h and the other travels east at 26 km/h. What is the straight-line distance between them after 30 minutes? - Bottle tube
Premium quality olive oil is sold in a glass bottle with a square cross-section packed in a special cylinder tube. The square's perimeter that forms the bottle's cross-section is 28 cm. What is the radius of this tube? - Car overtaking
From place A, the cyclist drove at a speed of 24 km/h. They sent a car behind him an hour later, traveling at 60 km/h. When and how far from place A will a cyclist travel? - Clothing cost
He bought a T-shirt, a tie, and a shirt. The tie was three times cheaper than the shirt, and the T-shirt was 70 CZK more expensive than the tie. He paid a total of 470 CZK. How much did he pay for a tie, a T-shirt, and a shirt? - Doubling
The message is spreading that each day has doubled the number of people who know about it. All know a message for 20 days. How long known it, eighth people? - A ball
A ball and a plush toy cost 32.80 euros. How much does a ball cost if it is € 9.50 cheaper than a toy? - Modulo
Find x in the modulo equation: 47x = 4 (mod 9) Hint - read as what number 47x divided by 9 (modulo 9) gives remainder 4. - Two numbers
I think two numbers. Their sum is 36, and their difference is 14. What are the numbers? - Pencils and sharpeners
Pavel bought three pencils and a sharpener in a stationery store and paid 29 CZK. Jane ordered two pencils and two sharpeners, and her purchase price was CZK 46. How much cheaper is a pencil than a sharpener? - One percent
One percent of all the lights in the city are LED, and the remaining 99% are conventional. Other types are not there. John counted them honestly, but he had counted only conventional. After a good dinner, he registered numbers, and he gave notice that fro - Cakes Z8-I-5
Mom brought ten cakes of three types: coconut was less than Meringue Cookies, and most were caramel cubes. John chose two different kinds of cakes. Stephan did the same, and Margerith left only the same type of cake. How many coconuts, Meringue Cookies an - Probably member
Look at the series 2,6,25,96,285, ? What number should come next? - Rainfall
The annual average rainfall in India was 26 461 mm in Cherrapunji in 1981. How many hectoliters of water fell on one square meter? Would you fit this amount of water into a cube of three meters? - Midpoint triangle
Triangle ABC is equilateral with a side length of 8 cm. Points D, E, and F are the sides AB, BC, and AC midpoints. Calculate the area of triangle DEF. In what ratio is the area of triangle ABC to the area of triangle DEF? - Vineyard
While visiting a winery, the family bought a total of 32 liters of wine in bottles of 0.7 liters and 1 liter. The ratio of the number of larger bottles to smaller bottles is 9:10. The price of a smaller bottle of wine was 120 CZK and a larger bottle was 1
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