Maths practice for 14 year olds - page 85 of 371
Number of problems found: 7417
- Isosceles 71154
Calculate all interior angles in the isosceles triangle ABC if we know that BC is the base, and we also know: | ∢BAC | = α; | CABCA | = 4α - Submerged cork body
The cork body floats first in water and then in glycerol. The submerged volume of the cork body in water is 0.0006 m3, and in glycerol, it is 0.0005 m³. The density of water is 1000 kg/m3, and the density of glycerol is 1200 kg/m³. C - Divided 71124
We divided line AB into two parts in a ratio of 3:5. The longer part was 6 cm longer than the shorter part. How long was the whole line in cm? - Apartment 71114
A father and son paint the apartment together in 6 hours. My father would paint the apartment in 9 hours. In how many hours would the son paint the apartment himself? - Today 2
Today only, a desk is being sold at a 72% discount. The sale price is $100.80. What was the price yesterday? - Apples and bananas
If you pay $11 for one apple and nine bananas and $7 for three apples and one banana, how much do an apple and banana cost? - Knitting a scarf
Rebecca is knitting a scarf. She runs out of yarn when the scarf is 1 1/2 feet long, which is ⅔ of the length she wants to make. How long is the scarf when finished? Write a multiplication and division equation to represent this situation. - Circumference 70984
The length of the rectangle measures 12 cm. Calculate its circumference if the length-to-width ratio is 4:3 - Positive 70974
The sum of two positive numbers is 2.5. A smaller number is four times smaller than a larger number. What is the value of a smaller number? - Individual 70944
The merchant ordered 62 boxes of cucumbers from a vegetable grower. He wants to take 38 more boxes than small ones. How many individual boxes of cucumbers did the merchant order? - Determine 70894
The two numbers are in a 3:4 ratio. Their product is 108. Determine the larger of them. - Determine 70834
At the same time, a vertical 2-meter pole casts a shadow of 0.85 meters. At the same time, a chimney of unknown height casts a 45m long shadow. Determine the height of the chimney. - RT = legs, circle
One leg of a right triangle ABC has length a= 14 cm and the radius of the circle inscribed in this triangle r= 5 cm. Calculate the length of the hypotenuse and its other leg. - Calculate 70814
The lengths of the sides AB and AD of the rectangle ABCD are in the ratio 3:4. A circle k with a diameter of 10 cm describes a rectangle. Calculate the side lengths of a given rectangle. - Calculate 70804
The garden is a right triangle fenced with a 364 m fence length. The shorter slope of the triangle is 26 m long. Calculate the area of this garden. - Peter 70794
Peter is x years old. Juraj is 2/5 older than Peter. They are 72 years old in total. How old is Peter, and how old is Juraj? - Fertilizer mixture
A fruit company uses two types of fertilizers in an orange grove, brand A and brand B. each bag of brand A contains 8 pounds of nitrogen and 4 pounds of phosphoric acid. Each bag of brand B contains 7 pounds of nitrogen and 6 pounds of phosphoric acid. Th - Saving at market shop Mr. Akpalu went to a market to purchase 3 kg of sugar, 10 kg of wheat, and 1 kg of salt. In a shop near his residence, these commodities are priced at € 20, €10, and € 6 per kg, whereas in the local market, they are priced at € 15, 8, and € 6 per kg, resp
- Deviation - slope angle
Calculate the volume and surface of the rotating cone if its height is 10 cm and the side has a deviation of 30° from the base plane. - 3 identical tributaries
The pool would fill with three identical tributaries in 52 hours. After 20 hours, two more inlets were added. How many hours did the pool fill up?
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