Math practice for 13 year olds - page 302 of 428
Number of problems found: 8548
- Interior designer
To make draperies, an interior designer needs 11 1/4 yards of material for the den and 8 1/2 yards for the living room. If material comes only in 20-yard bolts, how much will be left over after completing both draperies? - Product calculation
the product of the sum and difference of the numbers -2.3 and 4.7 - Alcohol mixture
Three liters of 96 percent alcohol set up a certain amount of distilled water to form 54 percent alcohol. How many liters of distilled water were used? - Points on line segment
Points P and Q belong to segment AB. If AB=a, AP = 2PQ = 2QB, find the distance between point A and the midpoint of segment QB. - Rhombus construction
Construct a rhombus ABCD if AB = 5 cm, BD = 6 cm and AC = 3 cm - Percentage Comparison of Fractions
By what percentage is one-fifth greater than one-tenth? - Quadrangular prism
Calculate the volume and surface area of a regular quadrangular prism 35 cm high and the base diagonal 22 cm. - Rhombus construction
Construct ABCD rhombus if its diagonal AC=9 cm and side AB = 6 cm. Inscribe a circle in it, touching all sides. - Sugar 9
150 kg of sugar beet yields 24 kg of sugar. How many tons of sugar beet can be obtained from three tons of sugar? - Equation solving
x / 9-3-2x / 3 = 1-2 / 9-x - Is right triangle
Decide if the triangle XYZ is rectangular: x = 4 m, y = 6 m, z = 4 m - Isosceles triangle
An isosceles triangle with base c and arms a is given by: a = 50.3 cm c = 48.2 cm Determine the interior angles and heights of the base c. - Staircase handrail
Find out if the handrail on a staircase with 20 steps will be longer than 7 m if the step is 32 cm wide and 15 cm high. (1 = Yes, 0 = No) - Forest nursery planting
Forest workers planted the rectangular forest nursery with dimensions of 80m and 50m 2/5 with spruce, 12 ares were planted with beech, and the rest grew other deciduous trees. Determine what area the other deciduous trees are growing on. - Competition participants
In the mathematical competition, its participants solved two tasks. Everyone solved at least one problem, while 80% of the participants solved the first problem, and 50% solved the second problem. Sixty participants solved both tasks. How many participant - Passenger trains
Two trains are traveling towards each other on parallel tracks, one at a speed of 34 km/h and the other at a speed of 47 km/h. A passenger sitting on the second train noticed that the first train passed him in 6 seconds. How long is the first train? - Spending
Suppose I spend 25% of my net pay of $922.28 on entertainment. How much money is that? - Diamond base
The prism with a diamond base has 24 cm and 20 cm long base diagonals. Calculate the height of a prism with a volume of 9.6 dm³ (cubic decimetres) - Four-digit number Find the smallest four-digit number abcd such that the difference (ab)²− (cd)² is a three-digit number written in three identical digits.
- Square area
Complete the table and then draw each square. Provide exact lengths. Describe any problems you have. Side Length Area Square 1 1 unit² Square 2 2 units² Square 3 4 units²
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