Grade - math word problems - page 113 of 967

Number of problems found: 19337

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?
Padded 2
How many square metres of material are needed to make 40 equilateral triangular wooden pads with sides of 30 cm and a height of 26 cm?
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?
Red bouquet
A third of the flowers in a bouquet are red, and six are yellow. How many flowers are there in the bouquet in total? How many are red?
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?
Apples from grandma
There were apples on the table. Milo took 1/3 of them. There were 6 apples left on the table. How many apples did Milo take?

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