Grade - math word problems - page 106 of 967
Number of problems found: 19337
- A car license plate
A car licence plate consists of one letter (out of 26) and six digits. How many different plates can be formed if the letter is always in the second position and cannot be adjacent to a zero? - Runner 6
A runner runs the first lap of a circuit at an average speed of 5 km/h. At what speed must she run the second lap so that her average speed for both laps combined is 10 km/h? - AP - sum15
Calculate the sum of the first 15 terms of the arithmetic sequence if a₁ = 5 and d = −3. - Rent increase
Calculate how much rent should be increased each year to keep pace with annual inflation of 7%. The rent in the first year is €550. Calculate the correct rent for each of the first 5 years so that the real value of the rent remains constant. - Calculate 258
Calculate the volume and surface area of a prism with a trapezoidal base and a height of 9 cm. The base is an isosceles trapezoid with parallel sides of 3 cm and 6 cm, legs of 2.5 cm, and a height of 2 cm. - 3 squirrels
We went on a trip to the Beskydy Mountains. On the first day, we saw 3 squirrels and walked 14.3 km. On the second day, we walked more slowly to see more squirrels, so we only walked 8.25 km. On the third day, a squirrel hit Frank on the head with a pine - False bottom
The optical illusion of a large yoghurt is presented by the dairy Z with its Greek yoghurt. The yoghurt has a kind of false bottom. From the outside it looks like a nice big one, and the yoghurt itself is in a smaller plastic container placed in a larger - Cake 3
A cake weighs 2 3/5 kg. What is the total weight of 8 such cakes? - Beekeeper 2
A beekeeper has more than 190 kg and less than 200 kg of honey. If he divides it into 8 kg jars, 3 kg remain. If he divides it into 7 kg jars, how many kg remain? How many kg of honey does he have? - MDZ - theater
There are 798 men, women, and children in a theatre. The number of men is twice the number of women. The number of women is twice the number of children. How many men, women, and children are there? - Deep pool - bottom
A pool is 25 m long and 12 m wide. In one half of the pool, the depth is constant at 1.8 m; in the other half, the bottom slopes gradually up to a depth of 1.2 m. What is the total area of the pool bottom? - With fractions
Evaluate the following expression with fractions and brackets: 2 × (1/3 + 2/5) − 3/5 - Plot - wire mesh
In your yard, you want to build a garden that you want to fence. On the boundary of the plot, a fence 16 meters long is built. We have no more wire mesh for the fence. What area in square meters will the fenced garden have if it has the shape of a rectang - Calculate the density
Calculate the density of a body with a mass of 6.5 kg and a volume of 0.01 m³. - On the windowsill
On the windowsill, 6 different flowers in flower pots are to be arranged next to each other. Four are flowering (one of them is a primrose), the rest are decorative with leaves (one of them is a fern). Determine: a) how many different arrangements can be - At night
On the night from Thursday to Friday, the temperature dropped to −7 °C. On Friday at noon, the temperature rose by 13 °C, and in the evening, the temperature dropped by 11 °C. What did the thermometer show on Friday evening? - In the middle 2
The number halfway between an unknown number and the number 30 is 12. Determine the unknown number. - Dielectric change
An air capacitor with flat parallel plates has a capacitance of C₀ = 10 pF and a plate separation of d = 1 cm. A dielectric sheet of thickness Δ = 1 mm is inserted midway between the plates. What will be the capacitance of the device? (Edge effects may be - Conductor - induction
A conductor consisting of two circular loops with radii R = 5 cm is placed in a magnetic field with induction B = 0.6 T perpendicular to the field direction. What is the electromagnetic voltage induced in this conductor when the magnetic field disappears - From the intersection
From the intersection, the school is 6/5 km away, the shop 9/10 km, the bank 5/8 km, and the park 21/8 km. Which place is closest to the intersection?
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