Latest problems - page 9
- Rhombus 29
One of the diagonals of a rhombus is equal to a side of the rhombus. Find the angles of the rhombus.
- Diagonal to area
Calculate the area of a rectangle in which the length of the diagonal is 10 cm.
Sixty percent of one-fifteen of the total is equal to thirty. What are two percent of the total?
- Map scale
The rectangular plot has in a scale of 1: 10000 area 3 cm2 on the map. What content does this plot have on a 1:5000 scale map?
Six of the painters paint 90 m of fence in five hours. For how long would the 4 painters paint a 45 meter fence? How many meters fence painted painters 5 for two hours?
- 13 tickets
A short and long sightseeing tour is possible at the castle. Ticket for a short sightseeing circuit costs CZK 60, for a long touring circuit costs CZK 100. So far, 13 tickets have been sold for 1140 CZK. How much did you pay for tickets for a short tour?
The children's competition was attended by 63 girls, which is 30% of all children's participants. How many children attended this competition?
- Three points 2
The three points A(3, 8), B(6, 2) and C(10, 2). The point D is such that the line DA is perpendicular to AB and DC is parallel to AB. Calculate the coordinates of D.
- A rectangular
A rectangular garden 40 m long and 30 m wide is to be fenced with fence posts at each corner. All the other posts will be 5 meters a part. How many posts will be needed to fence in the garden.
- Find the 2
Find the term independent of x in the expansion of (4x3+1/2x)8
- Curve and line
The equation of a curve C is y=2x² -8x+9 and the equation of a line L is x+ y=3 (1) Find the x co-ordinates of the points of intersection of L and C. (2) Show that one of these points is also the stationary point of C?
- Perimeter of a rectangle
If the perimeter of a rectangle is 114 meters and the length is twice the width plus 6 meters, what are the length and width?
The sum of the lengths of the three edges of the cuboid that originate from one vertex is 210 cm. Edge length ratio is 7: 5: 3. Calculate the length of the edges.
How long have we trained on the pitch when we know that the warm-up took 10 minutes, we trained passes for one-third of the time and we played football half the time?
- Radioactive material
A radioactive material loses 10% of its mass each year. What proportion will be left there after n=6 years?
1000$ is invested at 10% compound interest. What factor is the capital multiplied by each year? How much will be there after n=12 years?
- A number
A number increased by 7.9 is 8.3
- Percentage 10
52 shorts and missed 13. Calculate percentage
- Line segment
The 4 cm long line segment is enlarged in the ratio of 5/2. How many centimeters will measure the new line segment?
- Hr to min
Sue biked to school in 5/12 of an hour. How many minutes did it take her to ride to school?