Maths practice for 14 year olds - page 293 of 370
Number of problems found: 7382
- Elimination method
Solve the system of linear equations by elimination method: 5/2x + 3/5y= 4/15 1/2x + 2/5y= 2/15 - Real roots
Determine the real root of the equation: x-3: x-8 = 32 - Friends
James and Jaroslav are friends. Together they had 48 toy cars. But if John had taken eight cars from Jaroslav, Jaroslav would have had 1.5 times more toy cars than James. How many toy cars had Jaroslav and James? - Four swords
Obelix has three helmets, four swords, and five shields. How many words must you make at the blacksmith forge Metallurgix to be able to walk another 90 days in unique armor? - Fifth member
Determine the fifth member of the arithmetic progression if the sum of the second and fifth members equals 73 and the difference d = 7. - Football season
Dalibor and Adam together scored 97 goals in the season. Adam scored nine goals more than Dalibor. How many goals were scored each? - Chocholate pyramid
How many chocolates are on the third shelf when on the 8th shelf are 41 chocolates on any other shelf? Are seven chocolates more than the previous shelf? - Blueberries
Miko and Anton have a total of 1,580 blueberries. Miko and Anton have them in the ratio of 2:3. Determine how much each of them has. - Unknown number 7
Calculate an unknown number whose 12th power, when divided by the 9th power, gets a number 27 times greater than the unknown number. Determine the unknown number. - Chairs
Determine the number of seats in the seventh and ninth rows if the 3rd row has 14 seats and every next row has five more than the previous row. - Blackberries
Daniel, Jolana, and Stano collected 34 blackberries together. Daniel collected eight blackberries more than Jolana, and Jolana 4 more than Stano. Determine the number of blackberries each collected. - Right triangle
It is given a right triangle angle alpha of 90 degrees the beta angle of 55 degrees c = 10 cm use the Pythagorean theorem to calculate sides a and b - Density 3701
4.8g / l a) what is mg / l b) What is per mille if the density of alcohol is 80% of the density of blood (water)? - Holidays - on pool
Children's tickets to the swimming pool stand x € for an adult is € 2 more expensive. There were m children in the swimming pool and adults three times less. How many euros make treasurer for pool entry? - Water in aquarium
The aquarium cuboid shape with a length of 25 cm and a width of 30 cm is 9 liters of water. Calculate the areas which are wetted with water. - Divisibility
Write all the integers x divisible by seven and eight simultaneously, for which the following applies: 100 < x < 200. - Bookshelve
Bookshelves with an original price of € 200 have twice become cheaper. After the second 15% discount, the price was € 149.60. Determine how much % becomes cheaper for the first time. - Inscribed 3689
There is a triangle ABC whose perimeter is 2s (2s = a + b + c), and the circle k (S, ρ) is the inscribed circle of the triangle. Calculate the length of the tangent of the circle k from point A. - EQ2
Solve a quadratic equation: 2x²- 2(x-7)²+5x=0 - The car
The car traveled the distance between A and B for four hours. If we increase the average by 17 km/h, the car travels this distance an hour earlier. Determine the initial speed of the car and the distance between A and B.
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