Maths practice for 14 year olds - page 262 of 362
Number of problems found: 7230
- Train distance
A train will leave Bratislava for Trnava. Five minutes later, the train leaves Trnava for Bratislava at twice the speed. Which train will be closer to Trnava when they meet? - Oil shipment
The auto parts store received a shipment of 30 pieces of motor oil for €396. More expensive oil costs €15, cheaper €12. How many amounts of more expensive and cheaper oil were in the shipment? - Student meals
Out of 129 1st-year students, 116 students go to lunch or dinner regularly, and 62 students go to one of these meals at most. At the same time, 47 students go to lunch more than to dinner. How many students go to lunch and dinner, how many go to dinner, a - Square pyramid
Calculate the pyramid's volume with the side 5 cm long and with a square base, and the side base has an angle of 60 degrees. - Diesel tank
The tank has the shape of a rotating cylinder with a height of 10 m. The width of the level is 1 m, and the level is 20 cm below the top of the cylinder. How much diesel is in the tank? - Timetable ways
The school teaches 12 different subjects, and each subject is taught for no more than an hour a day. How many ways can the timetable be made for one day if 5 different subjects are taught that day? - Parallelogram - area
Calculate the area of the parallelogram if the sides are a = 80, b = 60 long, and the size of the diagonal angle is 60°. - Satin
Sandra buys a piece of satin 2.4 m wide. The diagonal length of the fabric is 4 m. What is the length of the piece of satin? - Hexagon cut pyramid
Calculate the volume of a regular 6-sided cut pyramid if the bottom edge is 30 cm, the top edge is 12 cm, and the side edge length is 41 cm. - Railway Tunnel
The largest tunnel in the Slovak Republic on the Banská Bystrica-Diviaky route measures 4,698 m, which was only 8.7% of the length of the longest railway tunnel at the time in the world, the Seikan in Japan. Calculate the length of this tunnel - Diameters of circles
How many percent of the area of a larger circle is a smaller circle if the smaller circle has a diameter of 120 mm and a larger one has a diameter of 300 mm? - Circle construction
Construct the circles k1 (S1;r1) and k2(S2;r2), if S1 S2 = 7 cm, d1= 12 cm and r2 = 1/2 r1. Mark the point: a) A lying on circle k1, b) B lying in both circles determined by circles k1 and k2, c) C lying simultaneously on both circles, d) D, for which: (S - Menu choices The dining room offers three types of soups and four types of main courses. How many ways can we choose soup and the main course?
- Cutting circles
From a square sheet with 1 m sides, we cut out circles with a radius of 10 cm. How many discs can we cut, and what percentage of the material will be wasted? - 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. - 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?
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