Math practice for 13 year olds - page 47 of 414
Number of problems found: 8262
- Tanker 3
A full fuel tank weighs 4,500 kg. If we pump out 30% of the gasoline, it will weigh 3,900 kg. How many kilograms does the empty tank weigh? - RR trapezoid 12
In an isosceles trapezoid ABCD, calculate the missing side lengths given a = 46 cm, b = 85 cm, and height = 84 cm. - Perimeter 59
The circumference of a circular bed is 36 m. Find the length of the arc corresponding to the following central angles: 90°, 45°30′, 120°, 15°. - Beads
We have 4 beads: one green, one yellow, and 2 pink. In how many possible ways can we string them onto a string? - Segments 6
Express the ratio of 1 cm to 1 m. - Competitor 2
In a race, 1/12 of the competitors finished ahead of me and 7/8 of the competitors finished behind me. How many of us ran in total? - Calculate
A cone has a base diameter of 16 cm and a slant height of 10 cm. Calculate its surface area and volume. - Mirror
The dimensions of a mirror are 750 mm × 700 mm, and the mirror is to be tilted 8° away from the wall. How many centimetres must the bottom of the mirror protrude from the wall? - Reduced - rectangles
The dimensions of a rectangle are a = 42 cm and b = 91 cm. Determine the perimeter and area of the rectangle after it is scaled down in the ratio 6:7 compared to the original. - Segment - ratio
Calculate the length of a new segment created by scaling segment CD = 12 cm in the ratio 4:3. - Price increase
As part of a packaging innovation, the price of mineral water, which previously cost €0.68, was changed in the ratio 11:8. How much will we pay for a bottle of mineral water now? - New Year's price increase
After the New Year, the prices of goods changed in the ratio 3:2. How much will we now pay for a dining set (6 chairs and a table) if a chair originally cost €44 and the table €232? - Princess 2
A very overweight princess weighed 168 kg on 5 October. By 10 November, her weight had changed in the ratio 7:4. How much did she weigh on 10 November? Did she gain or lose weight? - Pack of cream
A mother uses one pack of cream in 12 weeks, and a daughter uses it in 14 weeks. They used the cream together for four weeks, after which only the daughter used it. How many more weeks did the cream last? - Fountain
Around a circular fountain with a diameter of 2 m, there is a 0.5 m wide strip of land for planting roses. How many m² of land do the roses occupy? - Tank 30
A water tank has the shape of a cuboid with a square base of side 2 m and a depth of 3 m. How many more litres of water can the tank hold if both base edges are increased by 1 m and the tank is deepened by half a metre? - Rhombus 48
A large rhombus is composed of four identical smaller rhombuses, each with an area of 42 m² and an angle alpha of 60°. What is the perimeter of the large rhombus? - Double the number of apples
Adam and Ben were picking apples. Together they picked 77 kg of apples. How much did each collect, given that Adam collected 5 kg more than twice what Ben collected? - How much 17
How many more euros will Mrs. Eve have if she increases her savings of €2,400 in the ratio 7:5? - Observation tower
An observation tower is covered with a roof in the shape of a regular quadrilateral pyramid with a base edge of 8 m and a height of 6 m. 60% of the roofing needs to be replaced. How many m² of new roofing material need to be bought?
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