Maths practice for 14 year olds - page 61 of 367
Number of problems found: 7329
- Triangle angle determination
In one triangle, one angle is 43°, and the second is 15° less than the third. Determine the unknown angles of the triangle. - School trip graders
Sixth, seventh, and eighth graders took part in the school trip. Sixth graders were 5 more than seventh graders, and eighth graders were 3 less than sixth graders. How many sixth graders were on the trip if there were 73 students in total? - Cone surface volume
The cone's surface is 75.36 cm, and the radius is 3 cm. Calculate the volume of the cone. - Dye water proportion
Pour 9 dl of dye into 100 liters of water. What will be the proportion of dye in the resulting mixture? Express as a percentage. - Volleyball rack capacity
Calculate how many volleyballs with a circumference of 65 cm fit into a cube-shaped rack whose edge is 100 cm long. - Gunpowder component mixture
Gunpowder is made from a mixture of coal, sulfur, and lignite, with 4 times more lignite than sulfur and 3 times more sulfur than coal. Calculate how many kilograms of individual components are needed to produce 240 kg of gunpowder.? - Wreath cream price
Eve paid €8.4 for three wreaths and five creams. Jane paid €15.6 for 9 wreaths and 7 creams. How much will Jane pay for one wreath and one cream? - Quadrilateral angle sizes
In the general quadrilateral ABCD, angle β is 9° greater than angle α, angle γ is 24° greater than angle α, and angle δ is 50° greater than angle β. Determine the sizes of individual angles. - Three ratios
Calculate x in terms of: x:7=6:4 1/2:x=5:3/4 4:3=8:x - Pupil number decrease
Over five years, the number of pupils in the school decreased from 455 to 335. By what percentage did the number of pupils decrease? - Dress double discount
Dresses that initially cost 100 € after a double discount of 10% subsequently increased in price by 20%. How much did they cost? - Spherical layer volume
Sketch a spherical layer formed from a sphere with a radius of r= 8.5 cm, given: v=1.5 cm, r1=7.7 cm, r2=6.8 cm. What is its volume? - Class boy girl There are 32 children in the class. If there were three more boys and one less girl, there would be an equal number of girls and boys in the class. How many boys are there in the class?
- Savings ratio three
The savings of Victor and Peter are in the ratio of 15:8, and the savings of Peter and George are in the ratio of 2:1. What is the ratio of the savings of Victor, Peter, and George? - Plate glass ratio
5 out of 32 plates and 2 out of 20 glasses were broken at the party. What is the ratio of plates to glasses now? - Pavel Vojta trees
Paul and Victor were planting trees at a forestry work camp. Paul planted two more trees than Victor in each six-hour shift. Together, they planted 156 saplings in three shifts. How many saplings did each of them plant? - Mr. Quick
Mr. Rychlý needs to drive from Brno to Prague. There is an oversized load on the D1 motorway, which leaves Brno at 11:00 p.m. at a speed of 12 km/h. What is the latest time Mr. Rychlý can depart to avoid getting caught behind the load, i.e. to reach the H - Cylinder-shaped part
A truncated cone-shaped part with base radii of 4 cm and 22 cm is to be recast into a cylinder-shaped part of the same height as the original part. What base radius will the new part have? - Hen goose weight
2 hens weigh 1 kg more than a goose. 3 hens weigh 1 kg more than 2 geese. How much do one hen and one goose weigh? When every goose weighs the same, and every hen weighs the same. - LED series resistor
How big a series resistor do we need to connect to the LED if a voltage drop of 3.2 V is to be created on it and a current of 16 mA flows through the diode? We want to connect the diode to a voltage of 5 V.
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