Maths practice for 14 year olds - page 270 of 375
Number of problems found: 7492
- Fifth of the number
A fifth of the number is 24 less than that number. What is the number? - Father and son
The father is 48 years old, and the son is 23. When will the father be twice as old as the son? - Angle of deviation
The surface of the rotating cone is 30 cm² (with a circle base), and its surface area is 20 cm². Calculate the deviation of this cone's side from the base's plane. - Fruit sales
The seller sold 40% of the fruit on the first day, 2/3 of the rest on the second day, and the remaining 20 kg on the third day. How much fruit did he sell in those three days? - Combined interest
Combined interest: Carol has deposited CZK 100,000 in the bank with an annual interest rate of 1.5%. The money was put into the account on 5.5.2016 and withdrawn all before Christmas on 20.12.2016. How much money did she withdraw? - Compound interest
Compound interest: Clara deposited CZK 100,000 in the bank with an annual interest rate of 1.5%. Both money and interest remain deposited in the bank. How many CZK will be in the bank after three years? - 3 years savings
Simple interest problem. Tereza has deposited CZK 100,000 in the bank with an annual interest rate of 1.5%. Interest is added each year and left aside. How many CZK (crowns) will you have in total after three years? - Hexagonal prism
The prism's base is a regular hexagon consisting of six triangles with side a = 12 cm and height va = 10.4 cm. The prism height is 5 cm. Find the volume and surface of the prism. - Force meter
We put the statuette on the force meter, which showed a value of 25 N. Then, we placed it on the force meter, completely immersed in the water. The force meter showed a value of 17 N. What is the statuette's volume? - Parallelogram
We know about parallelogram ABCD: length |AB| = 76cm, |BC| = 44cm, and angle ∢BAD = 30°. Find the area of the parallelogram. - Grandfather The grandfather is three years older than the grandmother. The average age of the grandmother, the grandfather, and their seven grandchildren is 28. The grandchildren have a total of 105 years. Calculate how old grandfather is.
- Digits
How many natural numbers greater than 4000 are formed from the numbers 0,1,3,7,9 with the figures not repeated, B) How many natural numbers will be less than 4000, and can the numbers be repeated? - Square circles
Calculate the length of the described and inscribed circle to the square ABCD with a side of 5cm. - Candies
There are two types of candies in the store 20 CZK/kg and 80 CZK/kg. How much will a mixed cost if we mix 22kg cheaper and 4kg more expensive candies? - Isosceles trapezoid
What is the height of an isosceles trapezoid, the base of which is 11 cm and 8 cm long, and whose legs measure 2.5 cm? - Prices prices
Factory reduced the meter of the textile by CZK 42, so 4 meters of the new price was 20 CZK cheaper than 3 meters of the original price. What was the original and new price of the textile? - Waste - cutting metal
In the workshop, they cut 50 circles with a diameter of 9 cm from a rectangular sheet with dimensions of 50 cm and 100 cm. What percentage of the sheet was a waste? - Diamond perimeter
Calculate the circumference of a diamond whose area is 288cm square and one diagonal is 12.4cm. - Prism volume
Calculate the volume and surface area of the body that is created by cutting out a three-sided prism of the same height from a cuboid with dimensions of 10 cm, 15 cm, and 20 cm, whose base is a right-angled triangle with dimensions of 3 cm, 4 cm, and 5 - Workers digging
The three workers will dig one big pit in two days. How many workers would dig seven large pits in three days?
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