Maths practice for 14 year olds - page 198 of 362
Number of problems found: 7230
- Braking distance
The car travels at an average speed of 12 km/h and detects an obstacle 10 m in front of it. At 1 m in front of the obstacle, it already runs 2 km/h. What is the braking distance? What is the required deceleration for a stop: A) 1 m B) 1 s? - Working alone
Tom and Chandri are doing household chores. Chandri can do the work twice as fast as Tom. If they work together, they can finish the work in 5 hours. How long does it take Tom to work alone to do the same work? - Goods exchange payment
The customer paid 143 euros for the goods after a 20% discount. But he wants to exchange all goods for goods in the total amount of 233e. She still has a 20% discount on this amount. How many euros does the customer have to pay for the returned goods? - Tabitha
Tabitha manufactures a product that sells very well. Her facility has a capacity of 241,000 units per year. The fixed costs are $122,000 annually, and the variable costs are $11 per unit. The product currently sells for $17. a. What total annual revenue i - One side
One side is 36 long with a 15° incline. What is the height at the end of that side? - Christmas gift savings
The table shows the data that the family spent on Christmas presents last year. This year, they plan to reduce expenses by 20% compared to last year. How many euros will the family save on gifts compared to last year? Books 50.50 Cosmetics 35.00 Toys 25.5 - Hexagonal prism angle
The given is a regular hexagonal prism ABCDEFGHIJKL, which has all edges of the same length. Find the degree of the angle formed by the lines BK and CL in degrees. - Intersect and conjuction
Let U={1,2,3,4,5,6} A={1,3,5} B={2,4,6} C={3,6} Find the following. 1. )AUB 2. )A'UB' - Adding percentages 55%+36%+88%+71%+100=63% what is whole (X)? Percents can be added directly together if taken from the same whole, which means they have the same base amount. You would add the two percentages to find the total amount.
- Circle line tangent
Given a circle k(O; 2.5 cm), a line p: /Op/=4 cm, a point T: T belongs to p and at the same time /OT/=4.5 cm. We must find all the circles that will touch the circle k and the line p at point T. - Two cities
Cities A and B are 200 km away. At 7 o'clock from city A, the car started at an average speed of 80 km/h, and from B at 45 min later, the motorcycle started at an average speed of 120 km/h. How long will they meet, and at what distance from point A will i - Player selection probability
From the group of 18 players I am, the coach selects nine players. What is the probability that I will be among the players chosen? - Angle of two lines
There is a regular quadrilateral pyramid ABCDV; | AB | = 4 cm; height v = 6 cm. Determine the angles of lines AD and BV. - Clock quadrilateral angle
Calculate the magnitude of the largest inner angle and the deviation of the diagonals in the quadrilateral, whose vertices correspond to points 1, 5, 8, and 12 on the dial. - Ratio of sides
Calculate the area of a circle with the same circumference as the circumference of the rectangle inscribed with a circle with a radius of r 9 cm so that its sides are in a ratio of 2 to 7. - Trio weight
Adela, Barunka, and Cecilia are weighed in pairs. Adela with Barunka weighs 98 kg, Barunka with Cecilia 90 kg, and Adela with Cecilia 92 kg. How much does each of them weigh? - Angle of climb
At what angle does the road rise if the climb is 10%? - Circle arc segment
A circle with a radius r=8 cm is divided by points K and L in a ratio of 5 to 4. Calculate the sizes of the center and circumferential angles, corresponding to both arcs and the area of the larger segment. - Equilateral triangle vs circle
Find the area of an equilateral triangle inscribed in a circle of radius r = 9 cm. What percentage of the circle area does it occupy? - Lateral surface area
The ratio of the area of the base of the rotary cone to its lateral surface area is 3:5. Calculate the surface and volume of the cone if its height v = 4 cm.
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