Maths practice for 14 year olds - page 193 of 371

Number of problems found: 7413

The plaster cast
The plaster cast has the shape of a regular quadrilateral pyramid. The cover consists of four equilateral triangles with a 5 m side. Calculate its volume and surface area.
Folding table
The folding kitchen table is rectangular with an area of 168dm² (side and is 14 dm long). If necessary, it can be enlarged by sliding two semi-circular plates (at sides b). How much percent will the table area increase? The result round to one-hundredths.
Horizontally 11211
A boy weighing 50 kg moves horizontally by 10 m. What is his kinetic energy at a speed of 1 m/s?
Horizontally 11201
A boy weighing 50 kg moves horizontally by 10 m. How much has his positioning energy increased?
Geography tests
On three 150-point geography tests, you earned grades of 88%, 94%, and 90%. The final test is worth 250 points. What percent do you need on the final to earn 93% of the total points on all tests?
Medians in right triangle
It is given a right triangle, and angle C is 90 degrees. I know it medians t1 = 8 cm and median t2 = 12 cm. How to calculate the length of the sides?
Aunt Rose
Aunt Rose gave $2500 to Mani and Cindy. Mani received $500 more than Cindy. How much did Cindy receive?
Gutter pipe
How many m² of sheet metal is required to produce a 12 m long and 18 cm wide gutter if a 7% bend is required?
Discount and prices
After a 29% discount, the new product price was € 426. What was the original price of the product?
Discounted 11031
Home cinema is discounted from the original price of 710 euros, first by 74 euros by another 32%. For how many euros was it possible to buy a home cinema after a double discount
The sum 4
Robin's total age is 45. Seven years ago, Robin was 16, more than half as old as Bruno then. How old is Bruno?
Faces diagonals
Find the cuboid volume if the cuboid's diagonals are x, y, and z (wall diagonals or three faces). Solve for x=1.6, y=1.8, z=1.6
Sale off
The TV went down 10% and then again 10% off the original price. Now it costs 300 €. What was its original price?
Voltmeter range
We have a voltmeter which, in the original set, measures voltage to 10V. Calculate the size of the ballast resistor for this voltmeter if we want to measure the voltage up to 50V. Voltmeter's internal resistance is 2 kiloohm/Volt.
Car down
Sarah buys a car costing $12,500. It depreciates value by 8% in the first year, 10% in the second year, and 5% in the third year. Calculate the value of a car after the third year.
Wall and body diagonals
Calculate the lengths of the wall and body diagonals of the cuboid with edge dimensions of 0.5 m, 1 m, and 2 m
Tetrahedral pyramid
A regular tetrahedral pyramid is given. Base edge length a = 6.5 cm, side edge s = 7.5 cm. Calculate the volume and the area of its face (side area).
Two chords
Calculate the length of chord AB and perpendicular chord BC to the circle if AB is 4 cm from the circle's center and BC 8 cm from the center.
Bike ride
Marek rode a bike ride. In an hour, John followed him on the same route by car at an average speed of 72 km/h, and in 20 minutes, he drove him. Will he determine the length Marek took before John caught up with him, and at what speed did Marek drive?
Pupils 10781
Of the 660 pupils at the school, 60% are girls. 25% of girls go to grade 7. How many school girls go to 7th grade

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