Maths practice for 14 year olds - page 31 of 378
Number of problems found: 7551
- For triangle
For triangle XYZ, ∠X = (6g + 14)° and the exterior angle to ∠X measures (5g + 45)°. Find the measure of ∠X and its exterior angle.
- The perimeter 10
The perimeter of a rectangle is 162 inches. The length is 35 inches longer than the width. Find the length and width of the rectangle.
- The sum 31
The sum of two fractions is 13 3/4. Their difference is 8 1/5. What are fractions?
- The sum 30
The sum of 8 times a number and 5 times another number is 184. The first number minus the second number is -3. What are the numbers?
- Percent down
$165.00 is what percentage less than $247.50?
- Length and width
The length of a rectangle is 7 cm more than the width. Find the width and length if the perimeter of the rectangle is 78 cm.
- Coffee factory
In a factory, 10 kg of coffee is produced in a half day. The factory is in operation nonstop for 6 1/2 days a week. Find the total amount of coffee produced in a week.
- The revenue
The revenue of Dr. Alban Bookstore increased from 1 500 000 pesos (in 2018) to 2 275 000 pesos (in 2019). What was the percent increase in the yearly revenue from 2018 to 2019?
- Percent base
75% of 40 is 30. What is the base?
- Percent decrease
77 to 59. Find the percent decrease.
- Price 11
The price increased from $2.56 to $3.76. What is the percentage increase?
- A triangle 7
A triangle lot has the dimensions a=15m, b=10m, and c=20m. What is the measure of the angle between the sides of b and c?
- Slope of line
What is the slope of the line that passes through the points: (-2, 4) and (-3, 1)?
- Morse code 2
We have two characters, a dot and a comma. How many two-element and how many three-element characters can be created with repetition?
- Hexagon, hexa S, V
What is the surface area and volume of a regular hexagonal prism with a base edge of 12cm and a height of the prism equal to the diameter of the circle circumscribed by the base?
- View angle
From a tower 20 m high and 20 m away from the river, the width of the river appears to be at an angle of 15°. How wide is the river at this location?
- Pure gold
How much pure gold is in a 15-gram ring made of 14-carat gold? Round the result to the nearest tenth of a gram.
- Sale of a bill of exchange
A businessman bought a bill of exchange 6 months before its maturity. After deducting interest at an interest rate of 10% p. . a., he paid €19,000 for it. How much € of interest was deducted from the face value of the bill?
- Tractor 19
A tractor plows a field in 48 hours using a plow with 5 blades. How long will it take it to plow the same field with a plow with 6 blades of the same width, while maintaining the same tractor speed?
- Painting a column
How many kg of paint do we need to paint a column in the shape of a regular triangular prism with a base edge of 2.5 m long and a height to the base edge of 2 m, if 1 kg of paint is enough for 25 m² of paint? The column is 10 m high.
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