Searching word math problems
Discover the latest math problems and word problems designed to deepen your understanding of mathematics. Solutions are explained simply and clearly so that everyone can follow along. Regular practice is the best way to succeed at school and in entrance exams. New problems are added every day — come back and practice more.Number of problems found: 19685
- Gardener 5
A gardener bought 17 apple trees and 11 pear trees and paid a total of €111.65. How much did 1 pear tree cost, given that its price was 35 cents higher than the price of 1 apple tree? How much would the gardener pay for 28 apple trees and 15 pear trees? - Determine the surface area
Find the surface area of a cone of height 30 cm whose slant side makes an angle of 60° with the base plane. - 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? - Ice rink
A rectangular ice rink measuring 15 m × 20 m needs to be covered with a layer of ice 4.5 cm thick. How many litres of water are needed to create the ice? - A quarter of the trees There were 48 apple, pear, and plum trees in a garden. A third of the trees were apple trees and a quarter were pear trees. How many plum trees were there?
- 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? - Quadrilateral - irregular
Find the length of side d = |AD| in quadrilateral ABCD: a = 35 m, b = 120 m, c = 85 m, angle ABC = 105°, angle BCD = 72°. - 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? - Salaries - inflation
Dad's salary was increased in the ratio 5:4. His original salary was €880. What is his salary now? - Anna had 2
Anna had 2 times more money than Betty. Celia had 12 euros more than Anna. Together, they had 92 euros. How much did each of them have? - 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? - Unit circle
In the Cartesian coordinate system, a unit circle is given on which points A and B lie. Point O is the origin with coordinates (0, 0), and point B has coordinates (1, 0). The size of angle BOA is 151°. Determine the x-coordinate of point A. - Prizes - competition For the prizes for the three best competitors a sum of money in crowns was prepared. The first competitor got half of this sum. The second competitor got 300 crowns. The third competitor got the rest of the prepared amount, which was three times less crow
- 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?
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