Math practice for 13 year olds - page 305 of 413
Number of problems found: 8260
- Fraction equation
Solve the equation: 1/c - 3/(2c) = 3/4 - Apple harvest
Pupils collected a total of 42 kg of apples. Peter harvests half as much as Susan and Martin, a third less than Peter. How much did each of them harvest? - Acceleration distance
When accelerating from 0 to 100 km/h in 9.3 seconds, what distance will the car travel? - Sun rays
If the sun's rays are at an angle of 60°, then the famous Great Pyramid of Egypt (which is now 137.3 meters high) has a 79.3 m long shadow. Calculate the current height of the neighboring Chephren pyramid, whose shadow is measured at the same time at 78.8 - Sugar cubes
The glass holds 600 ml of tea, which represents 80% of its volume. If twenty regular sugar cubes of 2 cm are poured into the tea, how many ml of tea are poured? - Earth and Sun
Earth is 150 million km away from the Sun. 300,000 km of sunlight travels in 1 second. How long will the light come from the Sun to the Earth? - Percentages 5
$5.25 is 7 1/2% of what number? - Railway wagon
The railway wagon holds a 75 m³ load. The wagon can carry a maximum weight of 30 tonnes. What is the maximum density that may have material with which we could fill this whole wagon? b) How much peat (density 350 kg/m3) can carry 15 wagons? - Bronze medal
To produce 1 kg of bronze must be 0.95 kg copper, 0.04 kilograms of tin, and 0.01 kg zinc. The bronze medal weighs 8.5 g. How much copper, tin, and zinc does the medal have? - Five-sevenths of a volume
Forty-two liters of water fill the barrel to two-thirds of its volume. If it is filled to five-sevenths of a volume, how many liters of water do we need to add? - New Year's
A shoe store had a special offer during the New Year's sale: if you buy two discounted pairs of shoes, you get the cheaper pair for 1/2 the price! Mrs. Ludmila decided to take advantage of this offer. She bought shoes for her son that were 60% off the ori - In the orchard
They planted 25 apple trees, 20 pears, 15 plums, and 40 marbles in the orchard. An intense late frost, however, destroyed a fifth of all new trees. Unfortunately, it was all the trees of one kind of fruit. What is the probability that the plums have died - Block volume
The sketch shows the net of a cuboid with a surface size of 150 cm². Calculate its volume. (MONITOR 9 - 2005/30 question.) - Plum dumplings
Three journeymen on their apprenticeship arrived completely exhausted at a tavern and ordered – it was at the end of summer – plum dumplings for supper. While supper was being prepared, they chattered and dozed at the table, until they fell soundly asleep - Number property
Which number has such a property that if we increase it by 7, we get a number with the same absolute value as the original number? - Syringe and patient
In 1 ampoule of 2 ml is 15 mg of Dipidol. The patient should receive 10 mg. How much ml do I draw into the syringe? - There
There are 24 students in the class. The math class is divided into two groups of 12 students on Friday. The table shows the results of pupil assessment in the two groups. Three students in the first group had worse grades than those in the second group. T - Tennis tournament
Eight tennis players took part in the tennis tournament. They were divided into two groups of four. In each group, everyone played each other once. The winner of the first group played the winner of the second group in the final. They did not play other m - Trapezoid thirds
The ABCD trapezoid has parallel sides AB and CD. The E point lies on the AB side. The segment DE divides the trapezoid into two parts with the same area. Find the length of the AE line segment. - Cylinder diameter The volume of the cylinder is calculated as V = 1/4 pi times d on the type times v. Express the average d using the volume V and the height in the cylinder. Calculate d for V = 1000 l and v = 23 dm
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