Examples for secondary school students - page 168 of 214
Number of problems found: 4270
- Two-fifths 2763
Pupils of four grades saved n=45000 crowns together. Of this, the first year saved one-third, the second one-third of the remainder, the third two-fifths of the remainder, and the fourth the remainder. How many crowns did each year save? - Multiply 2762
Which number is to multiply the number by to get the number: a) 1 b) m - Perpendiculars 2756
Determine the volume and surface of a prism with the base of a right triangle if the perpendiculars are: a is 1.2 cm. b is 2cm. The height of the body is 0.3 dm. - Multivitamin 2749
We paid a total of 290 CZK for 5 liters of orange juice and 6 liters of multivitamin juice. A liter of multivitamin juice is CZK 8 more expensive than a liter of orange juice. How much do we pay for 2 liters of orange and 3 liters of multivitamin juice?
- Two lands
The common area of the two neighboring lands is 964 m². The second land is smaller by 77 m2, twice the size of the first land. Find the areas of each land. - Determine 2743
Victoria, Vivien, and Marián have a total of 99 euros. Vivien has 2 euros more than Marian, and Marian has 1 euro less than Victoria. Determine how many euros each one has. - Proportions: 2742
The age of the three siblings is in such proportions: E: J = 5:4, J: P = 3:2. They are a total of 35 years old. How old are Eva, Jožo, and Peter? - Remuneration 2741
The three workers were to share the remuneration of 410 euros according to their performance in working together. Thus: A: B = 4:3 and B: C = 5:2. Advise them on how to distribute the reward fairly. - Properties: 2736
Find four numbers whose sum is 48 and which have the following properties: if we subtract 3 from the first, add 3 to the second, multiply the third by three, and divide the fourth by three, we get the same result.
- Measurements 2728
Three friends weighed themselves so that two always stood on the scale, and the third wrote down the measured weight. After all the measurements, the numbers written on the paper were 60 kg, 64 kg, and 66 kg. Determine the mass of each boy. - Rectangular garden
How many m² (square meters) is a rectangular garden if a = 21 steps and a wide b = 41 steps are long, with the length of one step being, on average, 3/4 (three quarters) meters? - Centimeters 2721
The surface of the block is 4596 square centimeters. Its sides are in a ratio of 2:5:4. Calculate the volume of this block. - Experienced 2703
The customer wants to buy 300 meters of wire with d = 4mm. An experienced salesman knows that 100 meters of wire are about 10 kilograms, so he weighs 30 kilograms of wire. Find out how many meters of wire is in a bundle of wire weighing 30 kilograms (or t - Men, women and children
On the trip went men, women, and children in the ratio 2:3:5 by bus. Children pay 60 crowns and adults 150. How many women were on the bus when a bus had a revenue of 4,200 crowns?
- Float boya
A 0.5-meter spherical float is a location mark for a fishing boat anchor. It floats in salt water. Find the depth to which the float sinks if the material of which the float is made weighs 8 kilograms per cubic meter and saltwater weighs 1027 kg/m³. - Entrepreneur 2691
The entrepreneur invested euros in the bank at the beginning of 2000 for a period of 9 months with an annual interest rate of 12%. How many euros will the bank credit him with the deposit after nine months? - Vertical prism
The base of the vertical prism is a right triangle with leg a = 5 cm and a hypotenuse c = 13 cm. The height of the prism is equal to the circumference of the base. Calculate the surface area and volume of the prism - Two balls
Two balls, one 8cm in radius and the other 6cm in radius, are placed in a cylindrical plastic container 10cm in radius. Find the volume of water necessary to cover them. - AP - simple
Find the first nine elements of sequence if a10 = -1 and d = 4
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