Maths practice for 12-year-olds - page 299 of 309
Number of problems found: 6169
- Hop-garden
The length of the rectangular hop garden Mr. Smith increased by 25% and its width by 30%. What is the percentage change in the area of the hop garden? - Divisibility
Determine the smallest integer which divided 11 gives remainder 4. When divided, 15 gives remainder 10 and when divided by 19 gives remainder 16. - Peleton
The cycling race was run at an average speed of 45 km/h. One cyclist lost with defect 8 minutes. How long and far must he go at speed 51 km/h to catch the peloton again? - Cyclist
A cyclist is moving at 35 km/h and follows a pedestrian walking at speed 4 km/h. The walker has an advantage 19 km. How long does it take a cyclist to catch up with him?
- Reverse Pythagorean theorem
Given are the lengths of the sides of the triangles. Decide which one is rectangular: Δ ABC: 66 dm, 60 dm, 23 dm ... Δ DEF: 20 mm, 15 mm, 25 mm ... Δ GHI: 16 cm, 20 cm, 12 cm ... Δ JKL: 58 cm, 63 cm, 23 cm ... Δ MNO: 115 mm, - Similarity
Are two right triangles similar if the first one has an acute angle 60° and the second one has an acute angle 30°? - VAT lottery
Father earns 809 euro a month, mother 480 euro per month. Calculate what amount they paid as value-added tax (VAT) to the government if the VAT rate is 20%. Assume that the family will spend their entire monthly income. - Reciprocal
Calculate the reciprocal numbers for the given real numbers. - Plums
In the bowl are plums. How many would be there if we could divide it equally among 8, 10, and 11 children?
- Game room
The winner can take the win in three types of jettons with value 3, 30, and 100 dollars. What is the minimum value of win payable in these values of jettons? - Square Number
If to a square of integer number add 43, we get the square of the following integer number. What is the original number? - Tanker
The first pump can empty an oil tanker in 4.9 hour, and the second pump can empty a tanker in 8 hours. If the first pump starts at 4:00 and the second starts 1.4 hour later, when will the tanker be empty? - Trio
A trio of workers earns 750 euros. Money is divided by the work that each of them makes. The first received twice the second, and the second received three times more than the third. How many got everyone's workers? - Angles
The outer angle of the triangle ABC at vertex A is 147°12'. The outer angle at vertex B is 113°42'. What size is the internal angle at vertex C?
- Squaring the Circle
Find the side of the square with the same area as the circle of radius 9. - Cylinder - h
The cylinder volume is 140 cm³. The base radius is 7 cm. Calculate the height of the cylinder. - OK circle
The right triangle has hypotenuse long 33 and one cathetus long 17. Calculate the radius (circumradius) of the circle described. - Steamship
Between the two ports on the river is going steamship. The journey there and back takes 8:42. Downstream steamship traveling at 20 km/h, upstream 9 km/h. What is the distance between the ports? - RWY
Calculate the opposite direction of the runway 13. Runways are named by a number between 01 and 36, which is generally one-tenth of the azimuth of the runway's heading in degrees: a runway numbered 09 points east (90°), runway 18 is south (180°), runway 2
Suppose you're on a game show and have the choice of three doors: Behind one door is a car; behind the others, goats. You pick a door, say No. 1, and the host, who knows what's behind the doors, opens another door, say No. 3, which has a goat. What is theDo you have homework that you need help solving? Ask a question, and we will try to solve it. Solving math problems.
