Maths practice for 14 year olds - page 58 of 379
Number of problems found: 7575
- Horsepower 81496
The electric motor has an efficiency of 80% (power and input ratio). What is the power input of this motor if its power is 5 horsepower (HP)? Enter the result in kilowatts (kW) and round to one decimal place (1 HP = 3/4 kW).
- Three-day trip
George went on a moped for a three-day trip. He drove 90 km on the first day, 30 km on the second day, and 60 km on the third day. He always drove at the same average speed and always the whole number of hours. Calculate the average speed if George drove
- Increased 81490
Suzan managed to get 40 points out of a possible 60 from the last paper. Her average number of points from the tests increased from 27 to 28 points. How many points should she have written if she wanted her overall average to rise to 29 points?
- Received 81487
Nikola and Agáta received a total of 20 roses from their partners. Nikola received 4 more roses than Agáta. How many roses did each have?
- Triangle 81484
Choose a triangle that is similar to the given triangle. - ∆ TFC= t= 8 cm, f= 9 cm, c= 7 cm. : ∆ PKU= p= 45 cm, k= 35 cm, u= 40 cm. ∆ UPK= u= 40 cm, p= 45 cm, k= 35 cm. ∆ PUK= p= 45 cm, u= 40 cm, k= 35 cm. ∆ KPU= k= 35 cm, p= 45 cm, u= 40 cm. ∆ KUP= k= 35
- Triangles 81480
Decide whether the triangles are similar. Choose between Yes/No. ∆ YUO: y= 9m, u= 17 m, o= 12 m, ∆ ZXV= z= 207 dm, x= 341 dm, v= 394 dm
- Archaeologists 81478
Archaeologists need to find out the size of the vessel if the sherd found was in the shape of a circular section with a length of 12 cm and a height of 3 cm. What is the area of this section?
- Definition 81474
Determine the definition fields of functions: y=4/x (written as a fraction)
- Quadrilateral calc
The square ABCD is given. The midpoint of AB is E, the midpoint of BC is F, CD is G, and the midpoint of DA is H. Join AF, BG, CH, and DE. Inside the square (approximately in the middle), the intersections of these line segments form a quadrilateral. Calc
- Base and legs
A right triangle has a base/legs/length of 12 cm, and the angle with the hypotenuse is 13 degrees. What is the length of the second hypotenuse?
- Identical loaves of bread
If the clerk at the buffet bought 15 identical loaves of bread, she would have 5 euros left in her wallet. If she bought 3 loaves of bread less, she would have 8.60 euros left. How many euros did she have in her wallet?
- Times 81462
5 to -11 times 5 to -7/5 to zero times 5 to -15 minus ( -5 ) to -2
- Intersection 81457
Two cars started from the right-angled intersection of two roads. The first at a speed of 80 km/h and the second at a speed of 60 km/h. How fast are they moving away from each other?
- Neighbor 81456
Mr. Novak earns as many euros in half a year as his neighbor in 4 months. The neighbor earns 420 euros more per month than Mr. Novak. What is the monthly income of Mr. Novak?
- Arithmetic 81453
A set of numbers 5,8,13,15,17,19 is given. What number should be added so that the arithmetic mean is 16?
- Machine particles
Since the start of the shift, 1,260 parts have already been produced on the press. This fulfilled 3/7 (three sevenths) of the daily plan. How many parts does the press still have to produce when the plan is to be fulfilled at 105%?
- Probability 81446
What is the probability that each digit is different in a five-digit number?
- Square-shaped 81445
The area of the square-shaped room on the drawing with a scale of 1:150 is 6 cm square. Determine the actual area of the room in square meters.
- Received 81440
At the flower festival, young growers sold cactus plants for CZK 12 and indoor violet plants for CZK 9. They sold a total of 47 pieces of flowers of both types and received CZK 501. How many cacti and how many violets did they sell?
- Evaporating 81430
Sea water contains 3.4% salt. How much salt do we get by evaporating 25 kg of seawater, and how much water evaporates?
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