Themes, topics - math word problems - page 131 of 174
Number of problems found: 3477
- Candies - coloured
There were red and green candies in a tin. Charlie ate 2/5 of all the red candies, and Susan ate 3/5 of all the green candies. Now the red candies make up 3/8 of all the candies in the tin. How many candies were originally in the tin? - MO Z6 I-3 2017 jars
Jano had 100 identical preserving jars, from which he built triangular pyramids. The highest floor of the pyramid always has one jar, the second floor from the top represents an equilateral triangle, whose side consists of two jars, etc. An example of the - Area of triangle
Two pairs of parallel lines, AB to CD and AC to BD, are given. Point E lies on the line BD, point F is the midpoint of the segment BD, point G is the midpoint of the segment CD, and the area of the triangle ACE is 20 cm². Determine the area of triangle DF - MO Z7–I–3 2017
A zoological garden offered school groups an advantageous admission: every fifth pupil gets a ticket free of charge. The teacher of 6.A calculated that if he buys admission for the children from his class, he will save for four tickets and will pay 19.95 - MO Z8–I–4 2017
Robots Robert and Hubert assemble and disassemble coffee grinders. Each of them, however, assembles a grinder four times faster than the other one disassembles it. When they came to the workshop in the morning, several grinders were already assembled ther - Unadjusted clock
Matej was finding out how precisely the tower clock measures time. He came to the conclusion that if no one adjusted it on an ongoing basis, it would show completely exact time once every 200 days. a) Calculate by how many seconds the time measured by the - Intersection of the altitudes
In the acute triangle KLM, the angle KLM is 68°. Point V is the intersection of the altitudes, and P is the foot of the altitude on the side LM. The angle P V M axis is parallel to the side KM. Compare the sizes of angles MKL and LMK. - Zero insertion
Annie and Blanka each wrote one double-digit number, which started with a seven. The girls chose different numbers. Then, each inserted a zero between the two digits, giving them a three-digit number. Everyone subtracted their original two-digit number fr - MO Z6-I-2 2017
Erica wanted to offer chocolate to her three friends. When she took it out of her backpack, she found that it was broken, as shown in the picture. (The marked squares are identical.) The girls agreed not to break the chocolate any further and drew lots to - Cyclo trip
Eighth-graders took a full-day trip on a cycling course. They took 1/7 of the route to the first break and added another 3/7 of the route to lunch. They had 18 km left to the finish. How many kilometers was the trip route measured? - Cake duration
Four children eat ten cakes in 30 minutes. How many minutes will it take nine children to eat 27 cakes? - Adela number
Adela had two numbers written on the paper. When she added their greatest common divisor and least common multiple, she was given four different numbers less than 100. She was amazed that if she divided the largest of these four numbers by the least, she - MO Z9–I–3 - 2017 Robots Robert and Hubert assemble and disassemble coffee grinders. Each of them assembles a grinder four times faster than he disassembles one himself. When they came to the workshop in the morning, several grinders were already assembled there. At 7:00 H
- Average age
The average age of all people at the celebration was equal to the number of people present. After the departure of one person who was 29 years old, the average age was again equal to the number present. How many people were originally at the celebration? - Gear train
A gear train is assembled from three gear wheels. The first has 165 teeth, the second 132 teeth, and the third 231, where the second engages with the first and the third with the second. The first and third do not touch. How many times per minute will all - Rate or interest
At what rate percent will Rs.2000 amount to Rs.2315.25 in 3 years at compound interest? - Car distance
The car will travel 28 km in one hour. How far will it travel in two and a half hours? - Warmer weather
This morning the temperature was -6 °C. What was the temperature yesterday if it was three times warmer? - Cake and cone cost
Johnny got pocket money and wants to buy something good for it. If he purchased four cakes, it would increase by 0.50 euros. If he wanted to buy five cakes, he would miss 0.60 euros. He would spend all his pockets on the rest if he bought two cakes and th - MO8-Z8-I-5 2017
Identical rectangles ABCD and EFGH are positioned such that their sides are parallel to the same. The points I, J, K, L, M, and N are the intersections of the extended sides, as shown. The area of the BNHM rectangle is 12 cm², the rectangle MBCK area is 6
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