Math practice for 13 year olds - page 142 of 422
Number of problems found: 8439
- Points OPQ
Point P is on line segment OQ. Given OP = 6, OQ = 4x - 3, and PQ = 3x, find the numerical length of OQ.
- A trapezoid 3
A trapezoid ABCD has a base length of a = 120 mm, c = 86 mm, and an area A = 2,575 mm². Find the height of the trapezoid.
- Ferdinand
Ferdinand went from place A to place B and from there to place C. A is 7.2 km from B, and B is 11.7 km from C. Albert went from place A to place D and from there to place C. D is 9.1 km from A and C is 10.8 km from D. Who traveled more and by how much?
- The largest divisor
The largest number which divides 60 and 75 leaving remainders 8 and 10 respectively is:
- Trapezoids
In the isosceles trapezoid ABCD we know: AB||CD, |CD| = c = 8 cm, height h = 7 cm, |∠CAB| = 35°. Find the area of the trapezoid.
- Diagonals of rhombus
Find the length of the diagonal AC of the rhombus ABCD if its perimeter P = 112 dm and the second diagonal BD has a length of 36 dm.
- One of
One of the internal angles of the rhombus is 120°, and the shorter diagonal is 3.4 meters long. Find the perimeter of the rhombus.
- A perimeter
The perimeter of a parallelogram is 2.8 meters. The length of one of its sides is equal to one-seventh of the entire perimeter. Find the lengths of the sides of the parallelogram.
- Eights of butter
How many eights of butter (1/8 of kg = 125 g) can be stored in a box with dimensions of 4 dm, 2 dm, and 1.8 dm if an eighth of butter has dimensions of 8 cm, 5 cm, 3 cm?
- A farmer 3
A farmer sells 9.3 kg of pears and apples at the farmers market. 3/4 of this weight is pears, and the rest is apples. How many kilograms of apples did she sell at the farmer's market?
- The ratio 4
The ratio of two numbers is 5:4. If 40% of the first number is 12, what will be 50% of the second number?
- Length 9
The length of a rectangle is 8 meters smaller than twice of breadth. If the perimeter of the rectangle is 50, find its length and breadth.
- What are 3
What are the two digits that, when inserted in the blank spaces, will make 234 _ _ divisible by 8?
- Clothes 4
If the cost of 16.5 meters of cloth is ₹2,062.50, then find the cost of 24.75 meters of clothes.
- Cost structure
You are currently trying to decide between two cost structures for your business: one with a greater proportion of short-term fixed costs and another more heavily weighted to variable costs. Estimated revenue and cost data for each alternative are as foll
- Two numbers 11
The sum of two rational numbers is (-2). If one of them is 3/5, find the other.
- Quadrilateral eq3
Three sides of a quadrilateral are equal to the foreside, which is 16 cm long. What is the length of the one with equal sides if the perimeter is 58 cm?
- Equivalent expression
Pablo rewrites the expression 8y-24 as 8(y-3). Hana rewrites 8y-24 as 2(4y-12). Are Pablo's and Hana's expressions each equivalent to 8y-24? Explain your reasoning.
- Dimensions of rectangle
Find the dimensions of a rectangle, given that its perimeter is 110 cm. Its length is 1 cm, more than twice its width.
- Picture 2
The picture free is 14.2 cm long and 10.4 cm wide. The frame has a uniform border of 2.6 cm. Find the area of the photograph.
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