Math practice for 13 year olds - page 140 of 419

Number of problems found: 8380

Taken away from number
18 is taken away from 8 times, and the number is 30. Find the number.
The average 4
The average cost price of a car in Ireland is now €26,430, excluding VAT. If VAT is 23%, calculate the actual selling price of a car in 2021.
The sum 13
What is the sum of the exponents of the prime factors in the prime factorization of 196?
Sum and product
The sum of the real numbers x and y is 12. Their difference is 8. What is the value of xy?
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.

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