Maths practice for 14 year olds - page 341 of 362
Number of problems found: 7226
- Lie/do not lie
The rule f(x) = -x-10 gives the function. Find whether point C[5; -15] lies on this function. Solve graphically or numerically and give reasons for your answer. - Simple interest
Peter put into bank 853 euros deposit. After 7 years on account, overall was 984 euro. What was the interest rate if the bank added simple interest? - Balls
Three metal balls with volumes V1=12 cm3, V2=112 cm3, and V3=59 cm³ were melted into one ball. Determine its surface area. - Word problem
348 students were on holiday in Hungary. 133 bought pizza, chips 28 pupils, 25 pupils bought soda, butter 26 pupils, 15 pupils fruits, vegetables 29 students. How much pay for all the food, if every meal costs 5.3 euros? - Rectangle
Calculate the length of the side HM and diagonal EM of rectangle EHMQ when given: |QM| = 29 cm and angle ∠ EHQ = 36 degrees. - Honored students
At the end of the school year, 22% of the 450 children received honors. Honors were awarded to 20% of the boys and 25% of the girls. How many boys and girls attend this school? - Column
The vertical pole high 7 m tall broke, and its toe fell 4.7 m from the bottom of the pole. At what height above the ground does the pole break? - Water tank
The water tank-shaped cuboid has a width of 2.3 m and a length twice as large. If water flows into 19 liters of water per second during 52 minutes, how high will it reach? - Similarity coefficient
The similarity ratio of two equilateral triangles is 4.3 (i.e., 43:10). The length of the side of the smaller triangle is 7.5 cm. Calculate the perimeter and area of the larger triangle. - Cups
We have three cups. In the cups, we had fluid and boredom we started to shed. 1 We shed one-third of the fluid from the second glass into the first and third. 2 Then, we shed one-quarter cup of liquid from the first to the second and to the third. 3 Then, - Prism
Calculate the volume of the rhombic prism. The prism base is a rhombus whose one diagonal is 47 cm, and the edge of the base is 27 cm. The edge length and height of the base of the prism are 4:3. - Skier
At this point, the first skier leads 10 km before the second skier and travels at a constant speed of 14 km/h. The second skier rides at 19 km/h. How long does it take him to catch up with the first? - Train and car
The train and the car started at a constant speed. When the train travels 87 km, the car travels 97 km. How many km does the train travel when the car travels 87 km? - Medals
How many ways can gold, silver, and bronze medals be divided among 16 contestants? - Rhombus
Calculate the length of the diagonal AC of the rhombus ABCD if its perimeter is 524 dm and the other diagonal BD has length 159 dm. - Isosceles trapezoid
Isosceles trapezoid ABCD, AB||CD is given by |CD| = c = 12 cm, height v = 5 cm and |CAB| = 41°. Calculate area of the trapezoid. - Driving school
Driving final exam involving 14 attendants. The exam consists of three parts. 4 fails the test (quiz), and 7 students fail on car skills test on the playground (slalom between the cone). The practical part of the test - driving in town in real traffic - a - Circle arc
Calculate the circular arc area in m² where the diameter is 263 dm and the central angle is 40°. Please result round to three decimal places. - Waiting room
In the waiting room are people and flies. Together, they have 21 heads and 102 legs (fly has six legs). How many people and flies are in the waiting room? - Weekly service
There are 29 pupils in the class. How many opportunities has the teacher randomly selected for two pupils to have a week-class service?
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